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MATHEMATICS 3 WORKBOOK - TERM Enhanced Edition PNC_G5_Maths_WB_T3.indb 1 5 12/16/19 8:50 PM

TABLE OF CONTENTS Chapter Name Page No. 1) Geometry – – – – – – – – – – – – – – – – – – – – – – – 1 2) Numbers – – – – – – – – – – – – – – – – – – – – – – – 10 3) Measurements – – – – – – – – – – – – – – – – – – – 18 4) Algebra – – – – – – – – – – – – – – – – – – – – – – – 26 5) Money – – – – – – – – – – – – – – – – – – – – – – – – 32 6) Fractions – – – – – – – – – – – – – – – – – – – – – – – 40 7) Information Processing – – – – – – – – – – – – – – 47 Term Project – – – – – – – – – – – – – – – – – – – – – 54 PNC_G5_Maths_WB_T3.indb 2 12/16/19 8:50 PM

  Chapter 1: Geometry 4 cm Think Very Short Answer Questions 1) What is the perimeter of the given figure? 5 cm 3 cm 4 cm 3 cm 5 cm Solution: ................................................................................................................................. 2) Each side of an equilateral triangle measures 7 cm. What is its perimeter? Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following is the correct formula to find the area of a rectangle? [    ] (A) area = length + breadth (B) area = length - breadth (C) area = length × breadth (D) area = length ÷ breadth 2) What is the perimeter of a rectangular park with length 70 m and breadth 40 m? [    ] (A) 110 m (B) 220 m (C) 2800 sq. m (D) 1100 sq. m PNC_G5_Maths_WB_T3.indb 1 1 12/16/19 8:50 PM

3) A construction site has a length of 14 m and a width of 15 m. What is the area of the site?  [    ] (A) 160 sq. m (B) 180 sq. m (C) 220 sq. m (D) 210 sq. m Fill in the Blanks (1M per question) 4) The perimeter of a square is __________________ times the length of its side. 5) The unit denoted for measuring area of an object is __________________. 6) The length of the boundary of a shape is called its __________________. Very Short Answer Questions (1M per question) 7) The side of a square pool is 4 m. What is the perimeter of the pool? Solution: ................................................................................................................................. .............................................................................................................................................. 8) The length of the side of each square is given below. Find its area. a) 10 metres b) 5 cm c) 15 metres d) 16 cm Solution: ................................................................................................................................. .............................................................................................................................................. 9) Each side of a square is 7 m long. Find its perimeter. (Textbook, Pg. 6) Solution: ................................................................................................................................. .............................................................................................................................................. 10) A square has sides of length 8 cm. A rectangle has length of 10 cm and a breadth of 7 cm. What is the total perimeter of the two figures? Solution: ................................................................................................................................. .............................................................................................................................................. 2 12/16/19 8:50 PM PNC_G5_Maths_WB_T3.indb 2

11) What is the area of the shaded region if the area of each square is 4 sq. cm? Solution: ................................................................................................................................. .............................................................................................................................................. 12) Find the area of the following rectangles. a) length = 6 cm and breadth = 3 cm b) length = 7 m and breadth = 4 m c) length = 8 cm and breadth = 5 cm d) length = 9 m and breadth = 6 m Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Short Answer Questions (3M per question) 13) Solve.  (Textbook, Pg. 6) a) How much wire will be needed to make a rectangle of length 6 cm and breadth 3 cm? b) If the length of a rectangle is 14 m and its breadth is 10 m, what is its perimeter? c) If we take 2 rounds of a field, that is 340 m long and 160 m wide. Find the distance covered in kilometers? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Geometry 3 PNC_G5_Maths_WB_T3.indb 3 12/16/19 8:50 PM

14) Tinu draws a rectangle of length 12 cm and breadth 9 cm. He then draws a square whose sides have same length as the breadth of the rectangle. a) What is the perimeter of the rectangle? b) What is the area of the rectangle? c) How much is the difference between the area of the rectangle and that of the square? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 15) Find the perimeter and area of the given image. Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 4 PNC_G5_Maths_WB_T3.indb 4 12/16/19 8:50 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Application Short Answer Questions (3M per question) 16) Sanju completes 10 rounds around a square park every day. If one side of the park is 110 m, then find the distance covered by Sanju in a day in terms of kilometers and metres.  (Textbook, Pg. 6) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 17) The side of a square is 6 cm. The length of a rectangle is 10 cm and its breadth is 4 cm. Find the perimeter and area of both the square and rectangle.  (Textbook, Pg. 10) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Geometry 5 PNC_G5_Maths_WB_T3.indb 5 12/16/19 8:50 PM

18) a) If the cost of 1 sq. m of a plot is ` 800, then find the total cost of the plot that is 15 m long and 10 m breadth. b) What will be the labour cost of laying the floor of an assembly hall which is 14 m long and 10 m breadth if the cost of laying is ` 60 per sq. m?  (Textbook, Pg. 10) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 19) Look at the figure given below. Find the total area and total perimeter of the shaded portion. Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 6 PNC_G5_Maths_WB_T3.indb 6 12/16/19 8:50 PM

Long Answer Question (6M) 20) An architect plans to lay tiles on a part of the floor. The figure shows the plan and the dimensions of the floor. Square tiles of area 1 sq. m each have been laid out as shown in the plan. The remaining area has been laid with carpet costing ` 500 per sq. m. a) What is the area occupied by the tiles? b) If total cost of the tiles used is ` 4200, what is the cost of a single tile? c) What is the total cost of the carpet? Tiled Area 5m 10 m Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 21) A rectangular park needs to be fenced along its boundaries. The park is 90 m long and 50 m wide. Wooden blocks of height 2 m and width 5 m are used to set up the fence by placing blocks along the width consecutively. The cost of each wooden block is ` 510. a) How many wooden blocks will be used? b) What will be the total cost of fencing? Solution: ................................................................................................................................. Geometry 7 PNC_G5_Maths_WB_T3.indb 7 12/16/19 8:50 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 22) A rectangular park has a jogging track of width 2 m as shown in the figure. C oncrete tiles of size 50 cm × 50 cm have been laid along the track. The cost of 1 tile is ` 250. a) What is the total area of the jogging track? b) How many tiles have been used in the track? c) What is the total cost of all the tiles used? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 8 PNC_G5_Maths_WB_T3.indb 8 12/16/19 8:50 PM

.............................................................................................................................................. Activity Draw the figures given below in the empty grid provided. Find the area and perimeter of each figure. 2 cm 2 cm 6 cm 7 cm 3 cm 3 cm 2 cm 18 cm 14 cm 5 cm 10 cm 4 cm 2 cm 2 cm 20 cm Fig. 1 16 cm Fig. 2 Geometry 9 PNC_G5_Maths_WB_T3.indb 9 12/16/19 8:50 PM

  Chapter 2: Numbers Think Very Short Answer Questions 1) What is the estimate of 41 rounded to the nearest tens? Solution: ................................................................................................................................. 2) W hat is the digit in the ones place of a 2-digit number whose actual value and estimated value is the same? Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following is an estimate of 83 to the nearest tens? [    ] (A) 60 (B) 70 (C) 90 (D) 80 2) If the value of PAN is 17114, then which of the following represents the correct value of FAN? [    ] (A) 6114 (B) 4161 (C) 5116 (D) 6141 3) Which of the following is the missing number in the given pattern? [    ] 4, 9, __, 25, 36, 49 (A) 10 (B) 16 (C) 21 (D) 18 Fill in the Blanks (1M per question) 4) Estimating 94 to the nearest tens, we get __________________. 5) The symbol for estimate is __________________. 6) When adding 33 and 47, the estimated sum and actual sum are __________________. 10 PNC_G5_Maths_WB_T3.indb 10 12/16/19 8:50 PM

Very Short Answer Questions (1M per question) 7) If BAT is 23, find the value of FORT. Solution: ................................................................................................................................. 8) Complete the following number wheel. 729 3 9 81 9) If COST is 3151920, find the value of SOLD. Solution: ................................................................................................................................. 10) Complete the following pattern. 2, 3, 5, 7, _ , 13 , 17 Solution: ................................................................................................................................. 11) Complete the circle using the basic operators to get the number 45. 23 + _____ 45 135 ÷ _____ Short Answer Questions (3M per question) 12) There are 27 girls and 38 boys in a class. Find the sum and estimate the sum to its nearest tens place. (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. 13) If the cost of a geometry box is ` 53 and the cost of a notebook is ` 36, then estimate their cost to its nearest Tens place and find the sum. Also, find the difference between the estimated value and the actual value. (Textbook, Pg. 17) Solution: ................................................................................................................................. Numbers 11 PNC_G5_Maths_WB_T3.indb 11 12/16/19 8:50 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 14) Kavitha has 93 pictures and she gave 42 pictures to her friend Neela, then estimate the pictures to its nearest tens place and find their difference. Also, find the difference between actual value and the estimated value. (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 15) The cost of a pen is ` 32. Find the cost of 6 pens and estimate it to its nearest tens place.  (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. 16) A run has ` 47, Raja has ` 54. Find the sum and estimate it to its nearest hundreds place.  (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. 17) There are 21 chocolate bars in a packet. Find the number of chocolate bars in 9 such packets and estimate it to its nearest hundreds place. (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. 18) 1 32 peanut candies are shared equally with 12 students. Find the share for one student and estimate it to its nearest tens place. (Textbook, Pg. 17) Solution: ................................................................................................................................. .............................................................................................................................................. 19) T he teacher told Bhuvna to multiply 311 and 12 after estimating both numbers to the 12 PNC_G5_Maths_WB_T3.indb 12 12/16/19 8:50 PM

nearest tens. a) Calculate the actual product. b) What is Bhuvna’s answer? c) What is the difference between the two answers? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 20) R aja told his friend Ada to add 447 and 249. He told Gaurav to subtract the same two numbers. Finally, he told, Shubham to add 447 and 249 after estimating the numbers to the nearest tens. a) What answer did Ada get? b) What answer did Gaurav get? c) How much was the difference between Ada’s answer and Shubham’s answer? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 21) Complete the following table. One is done for you. Number operation Actual result Estimated result Difference 133 + 249 382 130 + 250 = 380 2 455 - 374 23 × 7 636 ÷ 4 Numbers 13 PNC_G5_Maths_WB_T3.indb 13 12/16/19 8:50 PM

Application Short Answer Question (3M) 22) A shop has many suitcases. The cost of one suitcase is ` 354. a) Find the cost of 20 suitcases. b) What is the estimated cost of 20 suitcases? c) What is the difference between the actual cost and the estimated cost? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 23) Hema invited 19 of her friends to her birthday party. She decided to give each friend 5 chocolates, 3 balloons and 1 pastry. She bought chocolates that came in packs of 25, balloons that came in packs of 12 and pastries that came in packs of 2. a) Approximately how many items in total should each friend get? b) How many boxes of chocolates did Hema buy? c) How many packets of balloons did she buy? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 14 PNC_G5_Maths_WB_T3.indb 14 12/16/19 8:50 PM

.............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 24) A rshad purchased 28 boxes of marbles which cost ` 93 each. He asked Jamie to estimate his total cost by rounding both the values to the nearest tens. By mistake, Jamie wrote the number of boxes as 38 and cost of each box as ` 83. a) What was the actual cost of the boxes? b) What estimated cost did Jamie calculate? c) By how much did the correct estimated cost and Jamie’s result differ? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 25) Ali scored 66, 84, 97 and 73 in four subjects in an exam. Bindu scored 65, 55, 88 and 83 in these subjects. Charlie scored 66, 93, 94 and 79 in the same subjects. a) What was the estimated total marks that Ali scored? b) What was the estimated total marks that Bindu scored? c) What was the estimated total marks that Charlie scored? d) Whose estimated total was closest to their actual total? Solution: ................................................................................................................................. .............................................................................................................................................. Numbers 15 PNC_G5_Maths_WB_T3.indb 15 12/16/19 8:50 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Activity The graph shows some of the tallest buildings in the world. Estimate the height of each of these buildings. Also find the difference between the height of each building with the tallest building. One has been done for you. 16 PNC_G5_Maths_WB_T3.indb 16 12/16/19 8:50 PM

Building Height Estimated height Difference in height with the tallest Burj Khalifa 828 m building Shanghai Tower 632 m Makkah Clock Royal 601 m 600 m 898 m – 597 m = 231 m 599 m Tower 597 m Ping An Finance Center 555 m 541 m Goldin Finance 117 530 m Lotte World Tower One World Trade Center CTF Finance Centre Numbers 17 PNC_G5_Maths_WB_T3.indb 17 12/16/19 8:50 PM

  Chapter 3: Measurements Think Very Short Answer Questions 1) R uchi’s colour box can hold 15 sketch pens, each of volume 1 cubic unit. What is the capacity of Ruchi’s colour box? Solution: ................................................................................................................................. 2) 18 books have been kept in 3 identical boxes. What is the capacity of a single box? Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) (D) school bag [    ] 1) Which of the following objects has the highest capacity? [    ] (A) pencil box (B) refrigerator (C) truck 2) What is the height of the building given below? (A) 15 m (B) 13 m (C) 28 m (D) 22 m 3) 12 fruits are kept in a grocery bag. What is the capacity of 1 fruit? [    ] (A) 1 of the grocery bag (B) 5 of the grocery bag 12/16/19 8:51 PM 2 9 (C) 7 of the grocery bag (D) 1 of the grocery bag 20 12 18 PNC_G5_Maths_WB_T3.indb 18

Fill in the Blanks (1M per question) 4) A watermelon has __________________ volume than an orange. 5) __________________ of a solid is the space occupied by the solid. 6) Volume of a cube is given as __________________ × breadth × height. Very Short Answer Questions (1M per question) 7) Tick the item which has more volume. a) b) 8) Write the order of the given objects when arranged in the increasing order of their volume. bottle water tank firsh tank school bag Solution: ................................................................................................................................. Measurements 19 PNC_G5_Maths_WB_T3.indb 19 12/16/19 8:51 PM

9) Find the volume of the given object. Solution: ................................................................................................................................. .............................................................................................................................................. 10) What is the volume of the given structure, if the volume of each cube is 4 cubic cm? Solution: ................................................................................................................................. .............................................................................................................................................. 11) Are the given objects arranged in decreasing order of capacity? Wardrobe Carton box Pencil holder Solution: ................................................................................................................................. 20 PNC_G5_Maths_WB_T3.indb 20 12/16/19 8:51 PM

Short Answer Questions (3M per question) 12) A brick has dimensions 12 cm × 10 cm × 8 cm. It is broken into 4 equal parts. What will be the volume of each smaller brick? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 13) H ow many sacks of dimension 15 cm × 45 cm × 90 cm filled with rice can be kept in a room of dimension 3 m × 18 m × 9 m?  (Textbook, Pg. 27) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 14) Complete the following table. Object Length (I) Breadth (b) Height (h) Volume Fisish tank 80 cm 35 cm 50 cm Library 15 m 8m 840 cubic m Pencil box 6 cm 4 cm 432 cubic cm Cooler 60 cm 80 cm 192000 cubic cm Tram 8m 5m 6 m 12500 cubic m Swimming pool 50 m 25 m 12500 cubic m Measurements 21 PNC_G5_Maths_WB_T3.indb 21 12/16/19 8:51 PM

Application Short Answer Questions (3M per question) 15) Hamid has a cupboard of length 150 cm, breadth 60 cm and height 100 cm. He fills it with chocolate boxes of dimensions 50 cm × 20 cm × 25 cm. a) What is the volume of the cupboard? b) What is the volume of a chocolate box? c) How many chocolate boxes can Hamid put in the cupboard? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 16) Find the number of bricks of dimension 20 cm × 5 cm × 10 cm required to construct a wall of dimension 300 cm × 200 cm × 20 cm. (Textbook, Pg. 27) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 22 PNC_G5_Maths_WB_T3.indb 22 12/16/19 8:51 PM

Long Answer Question (6M) 17) D imple has a fish tank of length 50 cm, width 30 cm and height 40 cm. Twinkle has a fish tank which is 10 cm longer and 15 cm higher than Dimple’s fish tank but has the same width. a) What is the volume of Dimple’s fish tank? b)What is the volume of Twinkle’s fish tank? c) Who has a fish tank of greater volume? d) What is the total volume of the two fish tanks? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 18) A n ice cube of dimensions 3 m × 1 m × 2 m is melted from which smaller cubes of dimensions 10 cm × 20 cm × 40 cm are formed. How many cubes will be formed? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Measurements 23 PNC_G5_Maths_WB_T3.indb 23 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 19) A n empty water storage tank of dimensions 8 m × 4 m × 2 m is filled using small water containers. After using 16 water containers the bigger water tank is half filled. a) What is the storage capacity of the storage tank? b) How many more water containers will be needed to completely fill the storage tank? c) What is the volume of water carried by each water container? d) If each water container costs ` 200, what is the total cost of filling the storage tank? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 24 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 24

Activity Measure the height the water level by put the object into the beaker. Mark millimeter and centimeter with a scale in a glass. Then fill the  water at zero level. Put a marble into the glass and note the height of the water level. Similarly, put the items given in the table into the glass and note the height of the water level. (Textbook, Pg. 23)  Name of the objects Water level (mm) Marble Eraser Coin Stone Potato Tomato Measurements 25 PNC_G5_Maths_WB_T3.indb 25 12/16/19 8:51 PM

  Chapter 4: Algebra Think Very Short Answer Questions 1) How many pairs of 1-digit numbers add up, to get the number 12? List them. Solution: ................................................................................................................................. 2) F orm an inequality using the numbers 6, 8 and 5. Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following correctly represents an equality? [    ] (A) 16 = (60 – 12) (B) (18 + 22) = (40 – 15) [    ] [    ] (C) (61 – 30) = (15 + 16) (D) (89 – 45) = 41 2) Which of the following expression gives the number 34? (A) (26 – 11) (B) (21 + 13) (C) (75 – 22) (D) (16 + 27) 3) Which of the following correctly represents an inequality? (A) (41 – 22) > (29 + 37) (B) (10 + 40) = 60 (C) (90 + 13) > (100 + 2) (D) (84 – 48) < (14 + 13) Fill in the Blanks (1M per question) 4) Two expressions with ‘=’ sign in between form an __________________. 5) (35 + 91) < (233 – 20) is an example of an __________________. 6) Multiplying a number by __________________ gives the same number. 26 PNC_G5_Maths_WB_T3.indb 26 12/16/19 8:51 PM

Very Short Answer Questions (1M per question) 7) Find the missing number in the following equalities. a) (66 + 25) = (50 + _________________ ) b) (105 ÷ _________________) = (18 + 3) 8) Write the correct comparison sign. ( <, > or =) a) (61 + 17) _________________ (22 + 10) b) (35 + 35) _________________ (100 – 3 9) Complete the following inequality with a suitable expression. a) (71 × 2) < _________________ b) _________________ > (100 ÷ 5) 10) Fill in the blanks in the expressions with the suitable number. a) (_________________ × 5) = (24 + 11) b) (202 – 110) = ( 77 + _________________) 11) Are the following examples of inequalities? (yes/no) a) (1 + 4) > (5 – 3) b) (12 + 11) = (30 – 7) Solution: ................................................................................................................................. Short Answer Questions (3M per question) 12) S olve.  (Textbook, Pg. 29) a ) Using brackets, write three pairs of numbers whose sum is 12. Use them to write three equalities. b) Find four pairs of numbers, one for each of addition, subtraction, multiplication and division that make the number 16. Write the equalities for each of them. Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 13) W rite three pairs of numbers, one for each of addition, subtraction and multiplication that makes the number 50. Use them to write three equalities. Algebra 27 PNC_G5_Maths_WB_T3.indb 27 12/16/19 8:51 PM

Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 14) C omplete the following table. Expression 1 Expression 2 Combined expressions as equality/inequality 22 + 52 71 + 4 (22 + 52) = 71 + 4 240 - 130 120 ÷ 6 35 + 28 70 – 7 55 × 5 81 ÷ 3 150 + 130 64 + 36 64 ÷ 4 24 × 8 30 + 70 66 – 24 Application Short Answer Question (3M) 15) In a school, there are 25 boys and 27 girls in Class 4 and 30 boys and 22 girls in Class 5. a) What is the total number of students in class 4? b) What is the total number of students in class 5? c) Are the total number of students in Class 4 and Class 5 the same? Write an expression to relate the total number of students in Class 4 and Class 5. Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 28 PNC_G5_Maths_WB_T3.indb 28 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 16) A fruit seller has 13 pineapples, 10 oranges, 5 watermelons and 18 guavas. Out of these, he sold 4 pineapples and 6 oranges. a) Write an expression to relate the total number of fruits sold and the number of guavas. Does it form an inequality? b) Write an expression to relate the total number of watermelons and guavas and the number of pineapples and oranges left. Does it form an equality? c) Write an expression to relate the total number of pineapples and oranges with the total number of watermelon and guavas. Does it form an equality? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 17) Tushar picked 4 random chits from a bag which had chits of numbers till 100. He got the numbers 24, 55, 71 and 40. a) Write an equality using these numbers. b) Write an equality using these numbers. Algebra 29 PNC_G5_Maths_WB_T3.indb 29 12/16/19 8:51 PM

c) Write an equality using these number with their digits reversed: 42, 55, 17, 4. Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 18) Look at the information given below and answer the questions that follow. Team A Match 1 Match 2 Match 3 Team B 140 190 212 Team C 181 166 190 153 145 187 a) Write an expression to relate the total runs of Team A in first two matches with the total of Team B in the first two matches. Which team scored more runs? b) Which team scored the most runs in all the matches combined? c) Write an expression to relate the difference of runs of Team C in last two matches with the difference of runs of Team B in the last two matches. Which team had a higher difference of runs? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 30 PNC_G5_Maths_WB_T3.indb 30 12/16/19 8:51 PM

.............................................................................................................................................. Activity Use a letter for “any number” and write the following properties in short. a) The sum of a number and zero is the number itself. b) The product of any two numbers and the product obtained after changing the order of those numbers is the same. c) The product of a number and zero is zero. d) Write the following properties in words. a) n – 0 = n b) m ÷ 1 = m (Textbook, Pg. 33) Algebra 31 PNC_G5_Maths_WB_T3.indb 31 12/16/19 8:51 PM

  Chapter 5: Money Think Very Short Answer Questions 1) How much is 3500 paise in terms of ` Solution: ................................................................................................................................. 2) Anuj gave Leena 10 notes of ` 100 and 7 coins of ` 5. How much money did Leena get? Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following conversions is incorrect? [    ] (A) 6635 p = ` 663.35 (B) 580 p = ` 5.80 (C) 78900 p = ` 789 (D) ` 94 = 9400 p 2) A bottle of honey costs ` 375. Which of the following currency notes is enough for purchasing it? [    ] (A) ` 100 note (B) ` 50 note (C) ` 500 note (D) ` 200 note 3) 15 oranges cost ` 225. How much does 1 orange cost? [    ] (A) ` 10 (B) ` 15 (C) ` 20 (D) ` 25 Fill in the Blanks (1M per question) 4) Eight notes of ` 200 and three notes of ` 500 constitute the amount __________________. 5) A n apple costs ` 25, whereas a watermelon costs ` 32. So, an apple is __________________ than a watermelon. 32 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 32

6) T he cost of 6 pens selling at ` 12 per pen is same as the cost of __________________ pencils selling at ` 8 per pencil. Very Short Answer Questions (1M per question) 7) The cost of 1 kg of tomato is ` 15. Find the cost of 5 kg of tomatoes?  (Textbook, Pg. 42) Solution: ................................................................................................................................. .............................................................................................................................................. 8) The cost of one egg is ` 4.50. Find the cost of 20 eggs.  (Textbook, Pg. 42) Solution: ................................................................................................................................. .............................................................................................................................................. 9) 13 cupboards cost ` 65000. How much does a single cupboard cost? Solution: ................................................................................................................................. .............................................................................................................................................. 10) How many 50 p coins make ` 500? Solution: ................................................................................................................................. .............................................................................................................................................. 11) ` 11000 is equally divided among 4 friends. Does each friend receive more than ` 3000? Solution: ................................................................................................................................. .............................................................................................................................................. 12) 24 notebooks costs ` 6000. What is the cost of 1 notebook? Solution: ................................................................................................................................. .............................................................................................................................................. 13) Sheena buys 1 sticker for ` 55. How much does she spend in order to buy 16 stickers? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Money 33 PNC_G5_Maths_WB_T3.indb 33 12/16/19 8:51 PM

Short Answer Questions (3M per question) 14) Arun purchased gold coins in different weights in a Jewellery shop. The price of the gold coins were ` 18965.75, ` 26998.00 and ` 3589.50 respectively. Find the total price of the gold coins. (Textbook, Pg. 38) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 15) a) A fruit seller buys 8 boxes of grapes for ` 2,000. What is the cost of one box? b) In a sweet stall, the cost of 18 kg of sweets is ` 2,520. What is the cost of 1 kg of sweet?  (Textbook, Pg. 38) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 16) In a textiles shop, father, mother, son and daughter were purchasing clothes. The price of each of their clothes were ` 8950, ` 14875, ` 7895 and ` 9780 respectively. Find the total cost of their clothes. (Textbook, Pg. 38) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 34 PNC_G5_Maths_WB_T3.indb 34 12/16/19 8:51 PM

17) Sania bought 4 kg pineapples for ` 240, 3 kg grapes for ` 135 and 5 kg apples for ` 450. She gave the shopkeeper ` 1000. a) How much money would the shopkeeper return? b) What is the cost of 1 kg of pineapples? c) Which fruit is the most expensive? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 18) Inside a factory, Machine A and Machine B produce toy cars. Machine A can produce 520 cars in a day. Machine B can produce 40 fewer toys than Machine A in a day. Each toy is sold for ` 450. A customer asks for an order of 7000 toy cars. He gives ` 8,00,000 as advance and agrees to pay the remaining amount after completion of the order. a) How many cars do both the machines produce in a day? b) How long will it take to make the required number of cars requested by the customer? c) What is the total cost of the order? d) How much money does the customer pay after completion of the order? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Money 35 PNC_G5_Maths_WB_T3.indb 35 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Application Short Answer Questions (3M per question) 19) A farmer wanted to buy a tractor. The price of the tractor was ` 6,72,598, but he had only ` 2, 86,760. How much more amount was required to buy the tractor?  (Textbook, Pg. 39) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 20) A man had ` 17,246 in his savings account. If he had taken ` 8,891 to pay for house rent, then how much amount was left in his savings account?  (Textbook, Pg. 39) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 21) T he school management has decided to give a pen for all children participating in the Children’s day celebration. The cost of a pen is ` 18. How much money do they need to buy pens for 256 children?  (Textbook, Pg. 42) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 36 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 36

22) T hree friends bought 30 identical toys for ` 7200. They sold each toy for ` 350 and split the extra money that they earned equally. a) What was the cost of a single toy that the friends bought? b) What was the amount that they sold all the toys for? c) How much money did each friend get after splitting the extra money equally? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 23) A nu and Bani plan for a 4-day trip to Colombo. They have a budget of ` 75000 for the entire trip. Anu contributes ` 40000 for the trip. Bani contributes the remaining amount. Tickets cost ` 15000 for the total trip. Food and accommodation costs ` 4000 per day for both of them. They spend ` 25000 in the first three days of their trip on shopping and exploring the city. a) How much money does Bani contribute? b) How much is the cost of food and accommodation for the entire duration of their trip? c) How much money do they have left for the last day of the trip? d) If they spend ` 8000 on the last day and split the remaining amount equally, how much money does each get? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Money 37 PNC_G5_Maths_WB_T3.indb 37 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 24) S uraj is given ` 29500 for his expenditure every month. Each month, he spends ` 8000 on rent, ` 6200 on groceries, ` 2400 on fuel and saves the rest. a) What is the amount that Suraj saves every month? b) How much does he spend on rent in 5 months? c) By how much does his expenditure on groceries exceed his expenditure on fuel each month? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 25) Raju, Tara and Piku go to a café. The menu of the café is given below. MENU ITEM PRICE Tea ` 25 Coffee ` 50 Samosa ` 35 Sandwich ` 70 Soft Drink ` 110 Cold Coffee ` 80 38 PNC_G5_Maths_WB_T3.indb 38 12/16/19 8:51 PM

R aju and Piku order a coffee each while Tara orders a soft drink. In addition, Raju and Tara order a sandwich each. Piku orders 2 samosas and a sandwich. a) How much does Raju pay for his order? b) How much does Tara pay for her order? c) How much does Piku pay for her order? d) What is the total bill? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Activity a) O bserve at the vegetables shop nearby your house and find out the cost of items sold over there. Compare it with the cost of vegetables sold at the supermarket nearby to your house. (Textbook, Pg. 43) b) F ruit seller-1, uses her bike to sell her fruits for ` 150 and spends ` 170 for petrol. But fruit seller-2 sitting outside of an office and sells her fruits for ` 250. Make the students to sit in groups to discuss about this situation on which is costlier and which is cheaper?  (Textbook, Pg. 45) Money 39 PNC_G5_Maths_WB_T3.indb 39 12/16/19 8:51 PM

  Chapter 6: Fractions Think Very Short Answer Questions 1) Ruby eats 1 of a pizza. What fraction of pizza is left? 4 Solution: ................................................................................................................................. 2) Neeta has 10 red cards and Sameer has 13 blue cards. Who has a greater fraction of the total cards? Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following is a pair of like fractions? [    ] (A) 7 and 3 (B) 44 and 4 4 55 5 (C) 5 and 24 (D) 3 and 12 97 13 13 2) W hich of the following numbers should come in the box for the fractions given below to be equivalent? 11 and 44 [    ] 56 (A) 7 (B) 11 (C) 14 (D) 22 3) What fraction of the given figure is shaded? [    ] 40 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 40

(A) 10 (B) 11 (C) 12 (D) 13 20 20 20 20 Fill in the Blanks (1M per question) 4) In a fraction, if the numerator is greater than the denominator, then it is called a/an __________________. 5) Fractions 2 and 11 are examples of __________________. 5 19 6) In the fraction 5 , 17 is the __________________. 17 Very Short Answer Questions (1M per question) 7) Solve the following: a) 13 - 5 b) 3 + 6 18 18 11 11 Solution: ................................................................................................................................. .............................................................................................................................................. 8) Convert the following fractions into decimals. a) 2 b) 3 5 12 Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 9) Find an equivalent fraction with denominator 24 for each of the following fractions. 2, 1, 5, 7 3648 Solution: ................................................................................................................................. .............................................................................................................................................. Fractions 41 PNC_G5_Maths_WB_T3.indb 41 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. 10) What is the sum of the fractions shaded below? Solution: ................................................................................................................................. 11) Which of the following fractions is the smallest? 2, 3, 5 666 Solution: ................................................................................................................................. Short Answer Questions (3M per question) 12) Mother gave 2 of guava to Meena and 3 of guava to Geetha. How many 88 parts of the guava did she give them altogether? (Textbook, Pg. 59) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 13) T he girls of Std V cleaned 3 of a field, while the boys cleaned 1 part of the field. 55 What part of the field was cleaned altogether? (Textbook, Pg. 59) Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 14) Hamid got 18 pages of homework in Science. He completed 1 of the homework on 6 Friday. He completed 6 more pages on Saturday and finished the remaining work on Sunday. 42 PNC_G5_Maths_WB_T3.indb 42 12/16/19 8:51 PM

a) What fraction of the homework did he complete on Saturday? b) How many pages did he completed on Sunday? c) On which day did he complete the most part of the homework? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 15) C omplete the following table. Fractions Addition Subtraction 5 and 2 5+2=7 99 999 5-2=3 99 9 4 and 1 77 11 and 7 88 13 and 11 66 Fractions 43 PNC_G5_Maths_WB_T3.indb 43 12/16/19 8:51 PM

Application Short Answer Question (3M) 16) L ara has some marbles. She gives 1 of her marbles to Nancy and 35 marbles to Ishan. 2 She now has 10 marbles left. How much money did Lara originally have? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 17) T here are three baskets in a store. Each of them has fruits, vegetables and groceries. Look at the information about the baskets given below and answer the questions that follow. Basket Fruits Vegetables Groceries A 500 g 600 g 800 g B 700 g 400 g 300 g C 300 g 400 g 900 g a) What is the fraction of fruits in Basket A? b) By how much the fraction of groceries exceeds the fraction of vegetables in Basket C? c) What is the fraction of vegetables in Basket B? d) Which item takes the biggest share of the overall weight in Basket A? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. 44 PNC_G5_Maths_WB_T3.indb 44 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 18) J uhi made a fruit salad. She mixed 150 g of apples, 100 g of bananas, 50 g of watermelon and 100 g of guava. Her friend ate 40 g of guava and 60 g of apples from the salad. What is the change in the fraction of guava in the salad? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Long Answer Question (6M) 19) Aman earns ` 100 per day in the first week of April. In the second and third weeks, he earns ` 200 per day and ` 300 per day respectively. At the end of each week he spends ` 400 from the money he has saved that week. a) What fraction of money earned does Aman save in the second week? b) In which week(s) is the fraction of spending more than the fraction of savings? c) What fraction of total money has been saved at the end of 3 weeks? d) What fraction of total money has been spent at the end of 2 weeks? Solution: ................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Fractions 45 PNC_G5_Maths_WB_T3.indb 45 12/16/19 8:51 PM

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Activity Take four paper plates and represent the following fractions. a) 3 4 b) 2 6 c) 5 10 d) 2 8 46 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 46

  Chapter 7: Information Processing Think Very Short Answer Questions 1) How many steps are required to multiply a 2-digit number by a 2-digit number? Solution: ................................................................................................................................. 2) W rite all the factors of 28. Solution: ................................................................................................................................. & Remembering and Understanding Multiple Choice Questions (1M per question) [    ] 1) Which of the following shows the first step in the multiplication of 227 and 154? 227 × 154 227 × 154 (B) (A) 908 227 227 × 154 227 × 154 (C) (D) 1135 1589 2) R ishabh wants to arrange his books in his cupboard. Which of the following would not help him in this task? [    ] (A) Sorting his books (B) Making space in the cupboard (C) Playing with his friends (D) Putting his books inside cupboard PNC_G5_Maths_WB_T3.indb 47 47 12/16/19 8:51 PM

3) Which of the following numbers has all of its factors circled in the given figure? [    ] 1 12 3 6 2 5 4 13 7 18 15 11 25 54 63 75 (A) 50 (B) 100 (C) 85 (D) 75 Fill in the Blanks (1M per question) 4) Solving a multiplication involving two 3-digit numbers requires __________________ steps. 5) T he factors of 27 are 1, 3, 9 and __________________. 6) T he task of organising a birthday party can be split into __________________ (smaller/bigger) tasks. Very Short Answer Questions (1M per question) 7) Write the number which is not a factor of 52 from the following set of numbers. 1, 2, 4, 5, 13, 26, 52 Solution: ................................................................................................................................. 8) Monica wants to arrange 20 glasses in a cupboard. She can hold up to 4 glasses at a time. Choose the arrangement which will take her lesser time to complete her task. Arrangement 1 Arrangement 2 Solution: ................................................................................................................................. 48 12/16/19 8:51 PM PNC_G5_Maths_WB_T3.indb 48