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# 202110640-PINNACLE-STUDENT-WORKBOOK-MATHEMATICS-G05-TERM2

## Description: 202110640-PINNACLE-STUDENT-WORKBOOK-MATHEMATICS-G05-TERM2

by classklap MATHEMATICS WORKBOOK - TERM 2 ALPINE SERIES L 5 Name: ___________________________________ Section: ________________ Roll No.: _________ School: __________________________________

Table of Contents Chapter Name Page No. 1) Geometry – – – – – – – – – – – – – – – – – – – – – – – 1 2) Numbers – – – – – – – – – – – – – – – – – – – – – – – 8 3) Patterns – – – – – – – – – – – – – – – – – – – – – – – – 14 4) Measurements – – – – – – – – – – – – – – – – – – – 21 5) Interconcept – – – – – – – – – – – – – – – – – – – – 28 6) Information Processing – – – – – – – – – – – – – – 34 Term Project – – – – – – – – – – – – – – – – – – – – – 41

Chapter 1: Geometry Think Very Short Answer Questions 1) Name the types of angles represented below. a) b) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) What is the sum of 2 complementary angles? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & Remembering and Understanding Multiple Choice Questions (1M per question) 1) What is the supplementary angle of 105°? [    ] [    ] (A) 105° (B) 90° (C) 180° (D) 75° 2) Select the pair of complementary angles. (A) 120° and 60° (B) 110° and 90° (C) 55° and 35° (D) 50° and 60° 1

3) Which of the following represents a fractal pattern? [    ] (A) (B) (C) (D) Fill in the Blanks (1M per question) 4) The sum of two supplementary angles is the same as a __________________ angle. 5) A __________________ is a never-ending pattern that repeats itself at different scales. 6) 30° and 50° form a pair of ________________________ angles. Very Short Answer Questions (1M per question) 7) Angles AOC and COB are supplementary angles. What is the measure of angle AOC in the following figure? C 50º AOB Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8) Find the complementary angles of the following. a) 45° b) 68° Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

9) Find angle CAD in the given figure. B A 55º C D Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10) Name the types of the angles shown below. a) b) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the supplementary angles of the following. a) 130° b) 75° Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question (3M) 12) Represent the angles given below and also draw their complementary angles. a) 20° b) 75° c) 55° Geometry 3

Long Answer Question (6M) 13) Look at the figure given below. Angles PQS and RQS are complementary angles. Angles PSQ and RSQ are supplementary angles. P S 50º 30º Q R a) Find the value of angle PQS. b) Find the value of angle QPS. c) Find the value of angle PSQ. d) What type of triangle is triangle PQR? e) What is the sum of angles PQS and RSQ? f) What is the sum of angles QPS and QRS? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Application Short Answer Question (3M) 14) Complete the missing step of the given fractal image. 4

Step 1 Step 2 Step 3 Long Answer Question (6M) 15) In the figure given below, angle ABC and angle DBF are complementary angles. Angles ACB, ACD and angles BFE, BFG are supplementary. B 35º E 120º C 55º A F D G a) What is the value of angle BAC? b) What is the value of angle BFG? c) What is the value of angle ACD? d) What is the value of angle DBF? e) Are angles ACB and BFG equal? f) What is the sum of angle BAC and angle BFG? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Geometry 5

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) In the figure given below, angles ABD and CBD are complementary angles. Angles CDB and CDE are complementary as well. AD 60º E 50º C B a) Find the value of angle ABD. b) Find the value of angle CDE. c) Find the value of angle BCD. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 17) Complete the following table. Step 1 Step 2 Step 3 6

Activity Look at the steps shown below to create a fractal pattern. Extend the fractal pattern by completing the next steps in a similar manner and colour the pattern you have created. Step 1 Step 2 Sample answer Geometry 7

Chapter 2: Numbers Think Very Short Answer Questions 1) What happens when you add the same number repeatedly? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) When you write a number as the product of two numbers, what are the two numbers called? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & Remembering and Understanding Multiple Choice Questions (1M per question) 1) Which of the following is a factor of 35? [    ] [    ] (A) 3 (B) 4 (C) 5 (D) 6 [    ] (D) 3 2) Which of the following is factor of every number? (A) 0 (B) 1 (C) 2 3) Which of the following numbers are the factors of 8? (A) 1, 2, 4, 8 (B) 2, 3, 4, 5 (C) 1, 2, 3, 6 (D) 4, 5, 6, 8 Fill in the Blanks (1M per question) 4) The greatest factor of a number is the _________________________. 8

5) If a number can be written as the product of two or more numbers, then those numbers are called its __________________. 6) Complete the pattern: 13, 26, 39, 52, 65, __________________. Very Short Answer Questions (1M per question) 7) Write the first two multiples of 7. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8) What are the factors of 45? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9) Which is the first multiple of a number? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10) Which of the following are the multiples of 6? 96, 108, 100, 49, 56 Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) How many factors does 55 have? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question (3M) 12) Ramya visits the gym once every five days and Kavitha visits the gym once every six days. On which day will they meet each other? (Textbook, pg. 14) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................ ................................................................................................... ................................................................................................... ................................................................................................... ................................................................................................... ................................................................................................... Numbers 9

Long Answer Question (6M) 9× ×6 13) Complete the following. 90 18 × 3× 45 × 90 × Application Short Answer Question (3M) 14) Arun and Shahjahan go for walking on a circular path of a park in the same direction. Arun takes 6 minutes to complete one round, while Shahjahan takes 8 minutes to complete one round. In how many minutes will they meet each other? (Textbook, pg. 14) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ 10

Long Answer Question (6M) 15) Bus A goes to Goa every 15 days, Bus B goes every 20 days and Bus C goes to Goa every 30 days. Bus A can accommodate 80 passengers, Bus B can accommodate 120 passengers and Bus C can accommodate 60 passengers. All the buses are in Goa today. a) When will all these buses be in Goa again at the same time? b) How many trips to Goa will Bus B make in 120 days? c) How many passengers are in Goa today? d) If 140 passengers need to travel to Goa, which buses should be used for the trip, without wasting any seats? e) How many trips will Bus A and Bus C make in 90 days altogether? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) Rinu takes 6 minutes to complete a round of a circular track, Minu takes 10 minutes to complete a round and Sonu takes 8 minutes to complete a round. All of them start running together in the same direction. a) When will all of them meet again for the first time after starting to run? b) When will Rinu and Minu meet again for the first time? Numbers 11

c) After 72 minutes, how many times will Rinu and Sonu have met? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 17) A cardboard box can contain 16 identical balls. A wooden box can contain 12 identical balls and a plastic box can contain 24 identical balls. A metal box can contain multiple boxes at a time but it must be filled with the boxes of the same type. (E.g. It can be filled using wooden boxes but cannot be filled using some wooden boxes and some plastic boxes.) In addition, the number of balls contained in the metal box remains the same in each case, regardless of the type of box used to fill it. a) Which box can hold the highest number of balls? b) If 60 balls must be stored in the cardboard boxes and the wooden boxes, completely filling the boxes, what is the least number of boxes of each type that will be needed? c) How many balls can be put in the metal box such that it is completely filled? d) Which box can be put in the plastic box such that it completely fills the plastic box – cardboard box or wooden box? e) How many total balls can 2 cardboard boxes, 3 wooden boxes and 1 plastic box contain? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ ............................................................................................................ 12

Activity Play the following game based on multiples and factors with your friends. 96 2 3 5 7 84 Using the numbers in the given box, find pairs of factors that form the following products. Each number can be used only once. a) 24 b) 63 c) 8 d) 30 (Hint: a) 8 × 3 b) 9 × 7 c) 4 × 2 d) 6 × 5 ) Numbers 13

Chapter 3: Patterns Think Very Short Answer Questions 1) Find the pattern in the following words. CARD, WARD, BOARD, HARD, SWORD, HERD Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) Draw a time when the hands of the clock given below make an obtuse angle. 11 12 1 10 2 93 84 765 & Remembering and Understanding Multiple Choice Questions (1M per question) 1) How many right angles does a clock form between 12 o’clock and 2 o’clock? [    ] [    ] (A) 2 (B) 3 (C) 4 (D) 5 2) Which of the following words will continue the pattern given below? HOT, POT, NOT, ROT, _____ (A) HAT (B) TIN (C) FORT (D) DOT 14

3) Which type of pattern is shown below? [    ] (A) tile pattern (B) rangoli pattern (C) rotating pattern (D) word pattern Fill in the Blanks (1M per question) 4) The hands of the clock make a __________________ angle at 12 o’clock. 5) The number of equilateral triangles that can fit inside a regular hexagon is _______________. 6) The angle at the corners of a square is a __________________ angle. Very Short Answer Questions (1M per question) 7) Complete the pattern. 8) Form the words ending with -ng to form a pattern using the clues given below. Ri Si ng Thi Ki Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Patterns 15

9) Choose the odd one out from the following set of words. HIDE, SLIDE, WIDE, CHILD, RIDE Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10) Draw the shape that completes the following pattern. 11) Which type of angle is formed by the hands of the following clock? 11 12 1 10 2 93 84 765 Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question (3M) 12) How many equilateral triangles can fit inside the following figures? a) b) c) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. 16

Long Answer Question (6M) 13) Colour the shapes to complete each pattern. Also, draw the basic shape used in the pattern. a) b) c) Application Short Answer Question (3M) 14) Create two patterns using the letter ‘U’. Patterns 17

Long Answer Question (6M) 15) Identify the basic shape of the patterns given below. Draw another pattern using the same shape. Pattern Basic Shape Alternate Pattern 18

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) A giant wheel has several compartments. In each compartment, a child is sitting for the ride. Each compartment has a unique number written on top. When the ride has started, a man looks at the top to see the number of the top compartment. He looks at the top after every 10 seconds and observes a different number. From 120 seconds onwards, the numbers start to repeat. a) How many compartments are there in the giant wheel? b) If the man observes the number 5 at 30 seconds, when will he see the same number again? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. Long Answer Question (6M) 17) Use the vowels a, e, i, o and u to complete the patterns by making the correct words. a) H _ T , C _ T , B L _ T , N _ T , S H _ T b) K _ N G , S T _ N G , R _ N G , S P R _ N G c) C _ N , F _ N , P _ N , M _ N , V _ N d) T _ B , H _ B , S C R _ B , C _ B , R _ B e) S _ T , B _ T , J _ T , N _ T , P _ T f) H _ L _ , S _ L _ , S T _ L _ , R _ L _ , P _ L _ Patterns 19

Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Activity The border strip given below is made by giving half a turn to the Tamil letter ‘ ’. Similarly create simple border strips using the Tamil letters and the English alphabet. 20

Chapter 4: Measurements Think Very Short Answer Questions 1) Write the result of 500 mℓ + 1 ℓ 700 mℓ. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) A sack can hold 30 kg. Can this sack hold a total of 12 kg of apples, 7 kg of mangoes and 9 kg of oranges? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & Remembering and Understanding Multiple Choice Questions (1M per question) 1) 15 kg 350 g = __________________ g. (Textbook, pg. 31) [    ] (A) 1535 (B) 1600 (C) 15350 (D) 16000 2) 52 ℓ – 18 ℓ 800 mℓ = __________________ mℓ. [    ] (A) 33800 (B) 33200 (C) 34800 (D) 34200 3) Which of the following units is used to measure the weight of a person? [    ] (A) g (B) mg (C) kg (D) none of the above 21

Fill in the Blanks (1M per question) 4) A packet of milk contains 1500 mℓ of milk. 5 such packets will contain __________________ mℓ of milk. 5) 180 kg of apples are packed in 9 identical boxes. Each box will have ______________ kg of apples. 6) 250 g of sugar weighs __________________ kg. Very Short Answer Questions (1M per question) 7) 11 kg 300 g of rice, 7 kg of wheat and 6 kg 600 g of sugar are kept on a weighing scale. What is the total weight of the items? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8) Solve. a) Convert 62350 g into kg. b) Convert 17 ℓ 45 mℓ into mℓ. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9) Solve. a) 75 g 430 mg + 750 g (Textbook, pg. 31) b) 130 ℓ 120 mℓ + 760 mℓ + 84 ℓ Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10) Solve. a) 17 kg 750 g × 8 (Textbook, pg. 32) b) 4 kg 300 g × 7 (Textbook, pg. 32) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Solve. a) 147 g 630 mg ÷ 7 (Textbook, pg. 32) b) Convert 3250 mℓ into ℓ. (Textbook, pg. 38) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

Short Answer Question (3M) 12) Solve. a) What is the total weight of 7 kg 500 g of cashew nut and 3 kg 350 g of pista? (Textbook, pg. 32) b) 75 kg 750 g of groundnut seed is filled in five bags, how much groundnut seed can a bag contain? (Textbook, pg. 32) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 13) Solve. (Textbook, pg. 39) a) Kalaiyarasi bought 5 ℓ 500 mℓ of groundnut oil and 750 mℓ of sesame oil. How much oil did she buy in all? b) A pot contains 9 ℓ 500 mℓ of water, how much amount of water will 7 such pots contain? c) 25 ℓ 500 mℓ of milk is filled in 5 milk cans, how much milk is filled in one can? d) In a fuel station there was 70 ℓ 500 mℓ of fuel. How much amount of fuel will be left after selling 35 ℓ 700 mℓ of fuel? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. Measurements 23

............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Application Short Answer Question (3M) 14) 2075 g of chocolate powder is used in the preparation of cake. After the cake is baked, it weighs 4 kg 240 g. It is cut into 8 equal slices and each slice is packed in a box. a) Express the quantity of chocolate powder used in kilograms. b) What is the weight of the slice of cake in each box? c) If 50 g of a sweet is also added to each box, how much will each box weigh? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 15) A shop has various items that need to be sorted into Baskets A, B and C based on the weight of each item. Basket A – should be used to keep items weighing more than 5 kg. Basket B – should be used to keep items weighing less than 5 kg but more than 1 kg. Basket C – should be used to keep items weighing less than 1 kg. Look at the information provided below and answer the questions that follow. 24

Item Weight Toys 3 kg 600 g Books 12 kg 500 g Cricket bats 4 kg 200 g Light bulbs Umbrellas 750 g Sketch pens 7 kg 300 g 450 g a) Which items would be kept in Basket C? b) W hat would be the total weight of the items in Basket B? What would the items be? c) In which basket would the books be kept? d) What would be the total weight of the items kept in Basket A and Basket C? e) If cricket balls weighing 900 g were added to Basket C, what would the basket’s weight be? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) A gift box containing various chocolates weighs 1 kg 700 g. Milk chocolates weigh 450 g, dark chocolates weigh 175 g, sweet chocolates weigh 325 g and coffee chocolates weigh 410 g. Measurements 25

a) Which two chocolates have a total weight of 500 g? b) What is the weight of the box without the chocolates? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 17) Wheat is packed in bags of 10500 g. Rice is packed in bags of 12500 g. Corn weighing 30 kg is packed in 6 bags such that each bag carries the same amount of corn. Sugar weighing 35 kg is packed in 2 bags such that 15 kg is kept in 1 bag and the remaining sugar is kept in the other bag. a) How much would 13 rice bags weigh? b) How much would 2 corn bags weigh? c) What would be the weight of 4 wheat bags and 6 rice bags? d) How much would the second bag of sugar weigh? e) If a bag each is selected from the groups of sugar bags, rice bags, wheat bags and corn bags, which one will be the heaviest bag? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. 26

Activity 1) Find out from your doctor the quantity of water you should drink every day. For a week, measure the amount of water you drink. At the end of the week, compare your water consumption on each day with the recommended amount and find out on how many days you have consumed the recommended amount of water. 2) Find a grocery list in your home. (You can also use a bill from the grocery store to get a list of items and their respective quantities.) From the grocery list, note down the weights of all the items (food items, vegetables, etc.) and convert them into their lower units. Measurements 27

Chapter 5: Interconcept Think Very Short Answer Questions 1) An airplane is travelling from India to Australia. The flight distance is 7800 km between the two countries. How many hours does the plane take to reach Australia if it travels at a speed of 300 km/h? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) A taxi charges ` 10 per km for the first 5 km. After the first 5 km, it charges ` 8 per km. How much does a passenger pay for travelling 8 km? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & Remembering and Understanding Multiple Choice Questions (1M per question) 1) 3 of ` 1200? [    ] 5 (B) ` 720 (C) ` 740 (D) ` 760 (A) ` 700 2) Ramanuj is travelling at a speed of 18 km/h. How much distance will he travel in 90 minutes? [    ] (A) 9 km (B) 18 km (C) 27 km (D) 36 km 3) Anuja paid ` 144 for a ride at ` 12 per km. What is the distance that she travelled? [    ] (A) 11 km (B) 12 km (C) 13 km (D) 14 km Fill in the Blanks (1M per question) 4) If Sangeetha travelled 4 km in a bus at 40 km/h and 6 km in an autorickshaw at 30 km/h, her travel took __________________ minutes altogether. 28

5) 3 of 2 km is __________________ m. 4 6) 36 mins is __________________ of an hour. Very Short Answer Questions (1M per question) 7) Prabhu spent ` 9 per km for a trip and he travelled 580 km. How much is the total cost of the trip? (Textbook, pg. 45) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8) Anbarasan travelled 350 km at the speed of 70 km/h. Find the time taken for his travel. (Textbook, pg. 44) Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9) Write the 1 , 1 and 3 parts of ` 16400. 4 2 4 Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10) Nagarjuna rode his bike at 40 km/h for 30 minutes and at 60 km/h for the next 10 minutes. How much distance did he cover in all? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Mina travelled 8 km for ` 40 and Fiza travelled 6 km for ` 36. Who travelled at a lower cost per km? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question (3M) 12) Narayana is travelling from Mumbai to Indore. The two places are 300 km apart. He takes 240 minutes to cover the first 160 km and 5 hours to cover the next 140 km. a) How much time does he take to complete the journey? b) Find out his speed in the two parts of the trip. c) By how much does his speed in the first part of the journey exceed his speed in the second part? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. Interconcept 29

............................................................................................................. Long Answer Question (6M) 13) David, John and Amir take part in a biathlon event, which consists of two sporting events. The following table shows the time taken by the participants in each event. The person who takes the least time overall is the winner. Participant Event 1 Event 2 David 1 h 20 min 2 h 10 min John 1 h 19 min 2 h 14 min Amir 1 h 5 min 2 h 23 min a) Who won the biathlon event? b) By how much time did the winner defeat the runner up? c) What was the total time taken by David? d) What was the difference in total time between John and Amir? e) If David covered 70 km altogether in the biathlon, what was his speed? f) Who took the most time to complete Event 2? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Application Short Answer Question (3M) 14) Create a word problem based on the following information. Distance between Rahul’s and Priya’s houses = 12 km 30

Distance between Mani’s and Priya’s houses = 4 km Distance between Rahul’s and Mani’s houses = 8 km Rahul, Priya and Mani’s houses fall in a straight line. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 15) Bus A and Bus B are both travelling to Pune from Nashik. The distance between the two cities is 150 km. Bus A leaves at 12:30 p.m. and reaches Pune at 5:30 p.m. Bus B leaves at 1:30 p.m. and takes 6 hours to reach Pune. The ticket for Bus A costs ` 300, while it costs ` 450 for Bus B. a) What is the speed of Bus A during the journey? b) At what time does Bus B reach Pune? c) What is the speed of Bus B during the journey? d) What is the cost per km for Bus A? e) What is the cost per km for Bus B? f) If 50 passengers travel by Bus A, what will be the total cost of the tickets for them? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Interconcept 31

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) A train arrives at the platform of a railway station at 12:15 p.m. and stops for 15 minutes before leaving for the next station. Naina takes 40 minutes to reach the platform from her home, if she travels at 45 km/h. a) At what time should Naina leave to catch the train just in time? b) How far is her home from the railway station? c) Based on her speed, which is the likely mode of transport she used – riding a bicycle or taking a car? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 17) Jim, Mona and Dinesh participate in a 200 m race. All of them maintain a uniform speed throughout the race. Jim completes the race in 30 seconds, Mona completes it in 40 seconds and Dinesh completes it in 50 seconds. a) How much time will Mona take to complete 3 of the race? 5 b) How much distance will Dinesh have run when Mona is at the halfway mark? c) If Dinesh runs 2 1 times as fast as his normal speed, how long will he take to finish the race? 2 d) If Jim runs 1 as fast as his normal speed, how long will he take to complete the 2 race? e) How long does Jim take to complete 100 m in the race? f) What is the total time taken by them to complete the race? 32

Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. Activity Write your diary for a day and from that, find out how much time you spend for breakfast and dinner, for playing, for watching TV and for studying. Interconcept 33

Chapter 6: Information Processing Think Very Short Answer Questions Look at the figure given below and answer the questions. 1) What is the number of triangles? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2) What is the number of rectangles? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . & Remembering and Understanding Multiple Choice Questions (1M per question) If = 2, = 5, = 3 and = 7, then answer the questions given below. 1) What is the value of + + ? [    ] [    ] (A) 15 (B) 14 (C) 10 (D) 9 2) What is the value of – ? (A) 4 (B) 21 (C) 8 (D) 15 34

3) Which of the following will give the answer ‘0’? [    ] (A) + (B) – – (C) + (D) + – Fill in the Blanks (1M per question) Look at the image given below and fill in the blanks. 4) The number of squares in the given image is _________________. 5) The number of triangles in the given image is _________________. 6) The number of circles in the given image is _________________. Very Short Answer Questions (1M per question) 7) If the length of a rectangle is 3 times its breadth, then what will be the length? [Hint: Assume the breadth as b.] Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8) If + = 15, where = 9, then what will the value of be? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9) The value of + + = 27 and value of + = 16. Then, what is the value of ? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Information Processing 35

10) Give two examples of modelling. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. 11) How many rectangular faces are there in this 3D figure given below? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question (3M) 12) Look at the necklace given below and answer the following questions. a) How many circular beads are there in total? b) After how many circular beads does a different shape come? c) How many square beads are there? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 13) Answer the following by observing the given patterns. a) 4, 4, 2, 3, 4, 4, ______, _______, _______, _______ b) 2, 5, 9, 14, 20, ______, _______, ________, ________ c) 1, 5, 5, 1, 5, 5, _______, ______, _______, _______ 36

Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Application Short Answer Question (3M) 14) H elp Neha answer the questions that she has been practising for her monthly tests. Look at the images given below and answer the following questions. image 1 image 2 a) Which image has the maximum number of beads? b) Which image has triangles in it? c) How many squares are there in total? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Long Answer Question (6M) 15) Chinu practises yoga 6 days in a week. The following symbols represent the duration of a practice session in minutes. = 4 = 3 = 1 = 10 The duration of a session is represented using a combination of these symbols. For example, a practice session of 7 minutes is represented by Information Processing 37

Look at the information given below and answer the questions. MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY a) How long did Chinu practise yoga on Thursday? b) On which day did she practise for the longest duration? c) What was the total duration of practice on Monday and Saturday? d) Represent the practice session on Tuesday using another combination of symbols. e) If a practice session of 29 minutes has to be represented using a minimum number of symbols, how many symbols will be required? Draw the corresponding combinations possible. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. ............................................................................................................. 38

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question (3M) 16) Raanu has a rectangular piece of cloth. The cloth has small teddy bears designed all over it. She wants to make handkerchiefs out of it. Find the two different ways in which the cloth can be divided so that there are 2 teddy bears in each part. Mark the two different ways using different coloured pencils. Long Answer Question (6M) 17) If 8 ♣ 1 = 9, 9 ♣ 2 = 20 and 10 ♣ 3 = 33, find the values of the following. a) 11 ♣ 4 b) 12 ♣ 5 c) 13 ♣ 6 Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. Information Processing 39

Activity Count the total number of students in the class. Ask the aim of each student, i.e., what they want to become when they grow up. Represent the above data using some basic geometric shapes. Form a rule to govern which symbol represent what number and possible combinations for representing the numbers. 40

Term Project A puzzle is a problem that challenges one’s ability to think out of the box and find a solution. A puzzle, in a sense, models what all scientists are doing – solving puzzles about the nature of the universe. Moreover, puzzles can lead you to almost every branch of mathematics. Let us have a look at some types of math puzzles. Form groups of 3-4 members and try to solve each puzzle. Discuss with your group in order to reach a solution. 1) Suresh has 2 cans with him, one with a capacity of 3 ℓ and the other with a capacity of 5 ℓ. He also has a big bucket of water with him. Without using any measuring device, can he exactly measure 4 ℓ of water using the cans? Explain. Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. 2) There are 9 identical weights of 1 kg, each labelled using the numbers 1 to 9. One of the weights is defective and measures slightly less than a kg. Using these weights and a weighing scale, what is the minimum number of measurements required to find out which one is the defective weight? 1 2345 67 89 Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. 41

3) How many numbers are there till 200 that have at least 1 pair of squares as their factor? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. 4) Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all the people take the same time to cross the bridge. The time taken by each person is 1 min, 2 mins, 7 mins and 10 mins respectively. What is the shortest time needed for all four of them to cross the bridge? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. 5) There are two candles. Both will only burn exactly for an hour. How can you use these two candles to measure forty-five minutes? Solution:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................. ............................................................................................................. ............................................................................................................. 42