MPL_G3_Maths_WB AK_All Terms

Chapter 1 Shapes Concept 1.1: Vertices and Diagonals of Two-dimensional Shapes Recall Multiple Choice Questions 1) The shape of is a _________. [A] (A) circle (B) square (C) rectangle (D) triangle (C) both (A) and (B) [ C] 2) A triangle is a _________ figure. (D) open (A) 2D (B) closed [ B] 3) The shape of is a _________. (D) circle (A) square (B) rectangle (C) triangle & Remembering and Understanding Multiple Choice Questions 4) The point where at least two sides of a figure meet is called a/an _____. [ C ] (A) line (B) diagonal (C) vertex (D) edge 5) A straight line that joins the opposite vertices of a closed figure is called a/an _________. [B] (A) vertex (B) diagonal (C) line (D) edge 1

DC 6) The diagonals in are _________. [C] (D) AB, DC AB Diagonals (A) AB, BC (B) AD, CB (C) AC, BD PR, QS Fill in the Blanks Diagonals 7) A triangle has no diagonals. 8) A circle has no vertices. 9) A square and a rectangle have four vertices. Very Short Answer Questions 10) What is the unique feature of a square? Solution: It has 4 equal sides. 11) How many vertices does a triangle have? Solution: 3 12) How many diagonals does a circle have? Solution: 0 Short Answer Questions 13) Complete the following table. Shape Vertices PQ P, Q, S, R SR 14) Complete the following table. Shape Vertices A DB A, B, C, D AC, BD C 2

Long Answer Questions A B D C 15) Look at the figure and answer the following questions. a) How many vertices does it have? Name them. b) Name the diagonal from A. Solution: a) It has 4 vertices: A, B, C, and D. b) The diagonals from A is AC. 16) Draw a square WXYZ and answer the following questions. a) Name the vertices. b) Name the diagonals. Solution: a) The vertices are W, X, Y and Z. W X b) The diagonals are WY and XZ. Application ZY Short Answer Questions Number of diagonals 2 17) Complete the following table. Shapes Number of vertices 4 42 WB: Shapes 3

18) Complete the following table. Shapes Number of vertices Number of diagonals 5 5 42 Long Answer Questions 19) Look at the picture given and answer the following questions. a) What is the shape of this object? b) How many sides does it have? c) How many diagonals does it have? d) How many vertices does it have? Solution: a) Rectangle b) 4 c) 2 d) 4 20) What is the shape of the given picture? Find the number of: a) sides b) diagonals c) vertices Solution: The shape of the given picture is a triangle. a) 3 b) 0 c) 3 4

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Name a 3-dimensional figure that has the following: a) a circular base b) a rectangular base Solution: a) Cone/Cylinder b) Cuboid Long Answer Question G F E 22) Look at the figure and answer the following questions. D C a) What is the shape? b) Name the vertices. H c) Name the edges. d) Name the faces. AB Solution: a) The shape is a cuboid. b) The vertices are A, B, C, D, E, F, G and H. c) The edges are AB, BC, CD, DA, EF, FG, GH, HE, BE, CF, AH and DG. d) The faces are ABCD, BCFE, EFGH, ADGH, ABEH and CDGF. WB: Shapes 5

Chapter 2 Patterns Concept 2.1: Patterns in Shapes and Numbers [B] Recall Multiple Choice Questions 1) Which of the following is a pattern that is usually found on carpets? (A) (B) (C) (D) [B] 2) Which of the following is a pattern of window grills? 7 (A) (B) (C) (D)

3) Which of the following is a pattern that is found in nature? [D ] (A) (B) (C) (D) & Remembering and Understanding Multiple Choice Questions 4) Which of the following patterns shows alternate circle (O) and triangle ( )? [A] (A) (B) AABBAABB EE(C) (D) 5) What is the set of basic shape(s) in the pattern ? [D] (A) (B) (C) (D) 6) Which number will come next in the pattern: 4, 10, 16, 22? [C ] (A) 20 (B) 26 (C) 28 (D) 30 Fill in the Blanks 7) 2, 4, ___6___, ___8___, 10, 12, 14 8) 20, 30, __4_0___, __5_0___, 60, 70, 80 9) A pattern using two squares and one triangle can be __a_p__a_t_te__rn__u_s_i_n_g__sh__a_p_e__s_. 8

Very Short Answer Questions 10) Draw the set of basic shape(s) in the pattern given. Solution: 11) Create a pattern using the given three shapes: Solution: Learner’s response 12) Complete the given growing pattern. 110,120 __, _1_3_0___, ___1_4_0___, 150,160,170… Short Answer Questions 13) What is a pattern? Draw a pattern using the given two figures. Solution: A pattern is an arrangement of shapes or numbers that follow a certain rule One of the patterns that we can create using the given shapes is shown here. 14) Do number patterns follow the rules? If yes, name any two types of number patterns? Solution: Yes, patterns in numbers follow some rules. The two types of number patterns are the pattern with even numbers and the pattern with odd numbers. Long Answer Questions 15) Complete the next four terms in the following patterns. a) 4, 8, 12, __1_6___, ___2_0__, __2_4___, __2__8__. b) 6, 9, 12, __1_5___, __1_8___, __2_1___, __2__4__. c) 11, 22, 33, _4__4___, __5_5___, _6_6____, _7_7____. d) 21, 24, 27, __3_0___, __3_3___, __3_6___, _3_9____. WB: Patterns 9

16) Complete the following patterns by writing the next four numbers in each. a) 8, 16, 24, __3__2__, ___4_0__, ___4_8__, __5__6__. b) 7, 14, 21, __2__8__, ___3_5__, __4_2___, __4__9__. c) 12, 24, 36, __4_8___, ___6_0__, ___7__2_, ___8_4__. d) 13, 26, 39, ___5_2__, ___6_5__, ___7_8__, __9__1__. Application Short Answer Questions 17) Find and draw the basic tile in the following tile patterns. a) b) Solution: a) b) 18) Look at these tile patterns. Draw the shapes used in these patterns. a) b) Solution: a) b) Long Answer Questions 19) What is the shape of the basic tile in the following patterns? a) b) 10

c) d) Solution: a) b) c) d) 20) What is tiling? Where do we see tiling? Do we see tiling patterns in parking areas? Solution: Covering a surface with flat shapes such as tiles so that there are no gaps or overlaps is called tiling. We see tiling of floors and roofs in many places such as office buildings, houses, hospitals and so on. Yes, we see tiling patterns in parking areas. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Complete the following patterns. a) 1A, 6B, 11C, __1_6_D___, __2_1__E__, __2_6_F___. b) 1A, 5C, 9E, _1_3__G___, ___1_7_I__, ___2_1_K__. Long Answer Question 22) Form patterns by following the given rule. a) Rule: Repeat each shape twice. Basic shapes: b) Rule: Begin with 2, add 2 and subtract 1 alternately. WB: Patterns 11

Solution: a) b) 2, 4, 3, 5, 4, 6, 5 and so on. 12

Chapter 3 Numbers Concept 3.1: Count by Thousands Recall Multiple Choice Questions 1) The smallest 3-digit number is ______________. [ A] (A) 100 (B) 999 (C) 101 (D) 900 2) The number name for 425 is ______________. [ C] (A) four hundred and fifty-two (B) four hundred and five (C) four hundred and twenty-five (D) four hundred and fifty-five 3) The digit in the tens place of the number 482 is ______________. [ D] (A) 6 (B) 0 (C) 4 (D) 8 & Remembering and Understanding Multiple Choice Questions 4) The standard form of 4000 + 400 + 40 + 4 is ______________. [C] (A) 4004 (B) 4040 (C) 4444 (D) 4440 5) If one represents 100, then represent ___________. [ B ] (A) 250 (B) 300 (C) 350 (D) 200 6) The smallest 4-digit number is ______________. [B] (A) 9999 (B) 1000 (C) 100 (D) 999 13

Fill in the blanks 7) The form in which a number is written as the sum of the place values of its digits is called its ___________e_x_p_a__n_d_e_d__f_o_r_m__________. 8) The place value of 9 in 9320 is _______________9_0_0_0_____________. 9) The number name of 5060 is _____________f_iv__e_t_h_o__u_s_a_n_d__a_n__d_s_i_x_ty_______________ ____________________________________________________________________________. Very Short Answer Questions 10) Expand 4378. Solution: 4000 + 300 + 70 + 8 11) Write the standard form of 6000 + 300 + 1. Solution: 6301 12) Write the number name of 3852. Solution: Three thousand eight hundred and fifty-two. Short Answer Questions 13) Write the expanded form and the number name of 1798. Solution: Expanded form of 1798 = 1000 + 700 + 90 + 8 Number name of 1798 is one thousand seven hundred and ninety-eight. 14) Write the expanded form of 8136. Write the number in words. Solution: To write the given number in its expanded form, write the digits in the correct places of the place value chart: Th H T O 8136 = 8000 + 100 + 30 + 6 8136 8136 in words is eight thousand one hundred and thirty-six. 14

Long Answer Questions 15) Write 3000 + 400 + 60 + 5 in its standard form. Show the number on abacus and write its number name. Solution: To write a number in its standard form, write the digits in the correct places in the place value chart. Then write the digits one beside the other starting from the thousands place. 3000 + 400 + 60 + 5 Thousands Hundreds Tens Ones Th H T O 5 346 So, the standard form of 3000 + 400 + 60 + 5 is written as 3465. Number name of 3465 is three thousand four hundred and sixty-five. 16) Write the expanded forms of the following numbers. Write their number names. a) 6021 b) 2138 Solution: To expand the given numbers, write their digits in the correct places in the place value chart. The expanded forms are: Thousands Hundreds Tens Ones a) 6000 + 0 + 20 + 1 = 6021 a) 6 0 21 b) 2000 + 100 + 30 + 8 = 2138 b) 2 1 38 The number names are: a) 6021 = Six thousand and twenty-one b) 2138 = Two thousand one hundred and thirty-eight Application Short Answer Questions 17) Form a number with 8 in the thousands place, 3 in the hundreds place, 7 in the tens place and 4 in the ones place and write its number name. Solution: Write the given digits in the place value Th H T O chart according to their places. 8374 WB: Numbers 15

The required number is 8374. Number name: Eight thousand three hundred and seventy-four. 18) Form a number with 6 in the thousands place, 1 in the hundreds place, 4 in the tens place and 9 in the ones place and write its number name. Solution: Write the given digits in the place value chart according to their places. Thousands Hundreds Tens Ones 6149 The required number is 6149. Number name: Six thousand one hundred and forty-nine. Long Answer Questions 19) Mona has four notes of ` 2000, five notes of ` 100, one note of ` 10 and four coins of ` 1. How much money does she have? Write the amount in figures and words. Solution: Four notes of ` 2000 = ` 2000 + ` 2000 + ` 2000 + ` 2000 = ` 8000 Five notes of ` 100 = `100 + ` 100 + ` 100 + ` 100 + ` 100 = ` 500 One note of ` 10 = ` 10 Four coins of ` 1 = ` 1 + ` 1 + ` 1 + ` 1 = ` 4 So, the total money that Mona has = ` 8000 + ` 500 + ` 10 + ` 4 = ` 8514 Therefore, the amount in words is eight thousand five hundred and fourteen rupees. 20) The number of students in different schools is given below: St. Anns: 4621 Global: 3275 Akshara: 6485 Balaji: 8216 Narayana: 2120 a) How many students are there in Akshara school? Write the number in words. b) How many students are there in Balaji school? Write the number in words. Solution: a) The number of students in Akshara school is 6485. In words, it is six thousand four hundred and eighty-five. b) The number of students in Balaji school is 8216. In words, it is eight thousand two hundred and sixteen. 16

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Show these numbers on the abacus by drawing beads. a) 1725 b) 1003 Solution: a) b) Th H T O Th H T O Long Answer Question 22) A 4-digit number has 6 in the thousands place and 4 in the hundreds place. The digit in the tens place is 2 less than the digit in the thousands place. The digit in the ones place is 1 less than that in the hundreds place. Find the number. Solution: The digit in the thousands place = 6 The digit in the hundreds place = 4 The digit in the tens place is 2 less than the digit in the thousands place = 6 – 2 = 4 The digit in the ones place is 1 less than the digit in the hundreds place = 4 – 1 = 3 So, the required number is 6443. WB: Numbers 17

Higher Order Thinking Skills (H.O.T.S.) TShort Answer Question P21) Show these numbers on the abacus by drawing beads. Ea) 1725 CSolution: a)b) 1003 CONTh H T O b) SLong Answer Question Th H T O U22) A 4-digit number has 6 in the thousands place and 4 in the hundreds place. The IOdigit in the tens place is 2 less than the digit in the thousands place. The digit in the ones place is 1 less than that in the hundreds place. Find the number. VSolution: The digit in the thousands place = 6 EThe digit in the hundreds place = 4 PRThe digit in the tens place is 2 less than the digit in the thousands place = 6 – 2 = 4 The digit in the ones place is 1 less than the digit in the hundreds place = 4 – 1 = 3 So, the required number is 6443. Concept 3.2: Compare 4-digit Numbers Recall Multiple Choice Questions 1) The largest number among the following is ____________. [D] [A] (A) 3165 (B) 169 (C) 68 (D) 7204 2) The smallest number among the following is ___________. (A) 3 (B) 302 (C) 30 (D) 320 WB: Numbers 17

3) Choose the correct symbol to complete the statement: 346 ______ 3046 [ A ] (A) < (B) > (C) = (D) + & Remembering and Understanding Multiple Choice Questions 4) The greater among the following numbers is ____________. [ B] [ B] (A) 215 (B) 3610 (C) 0631 (D) 512 [ A] 5) The smallest 4-digit number is ____________. (A) 1001 (B) 1000 (C) 1100 (D) 1010 6) The greatest 4-digit number is ____________. (A) 9999 (B) 9000 (C) 999 (D) 1000 Fill in the Blanks 7) The smallest number among 3150, 5013, 5130, 5031 is _____3_1_5_0____. 8) The greatest number among 3150, 5013, 5130, 5031 is ____5_1_3_0_____. 9) Fill in the blank with <, > (or) = symbol. 6512 ___>_____ 5261 Very Short Answer Questions 10) Which is the greater of the numbers 5265 and 5652? Solution: 5652 11) Compare the numbers using the symbols <, > (or) =. 4612 ___<___ 4626 12) Which is the greater number? six thousand three hundred and ninety-two, six thousand three hundred and ninety-eight Solution: six thousand three hundred and ninety-eight 18

Short Answer Questions 13) Write the smallest and the largest 4-digit numbers among 2400, 4200, 2200 and 4400. Solution: The smallest 4-digit number is 2200 and the largest 4-digit number is 4400. 14) Write the smallest and the largest numbers among 1478, 9240, 2584, 8362 and 1024. Solution: Smallest number = 1024 Largest number = 9240 Long Answer Questions 15) Write the smallest and the largest numbers in: a) 863, 3972, 183 and 748 b) 462, 2973, 324 and 268 Solution: a) Smallest = 183 b) Smallest = 268 Largest = 3972 Largest = 2973 16) Write the smallest and the largest of the given numbers. Compare them using the symbols <, > or =. a) 7021, 7822, 7321, 7429 and 7676 b) 1468, 1486, 1386, 1368 and 1485 Solution: a) Smallest = 7021 b) Smallest = 1368 Largest = 7822 Largest = 1486 7822 > 7021 or 7021 < 7822 1368 < 1486 or 1486 > 1368 Application Short Answer Questions 17) Arrange 4305, 4906, 4005 and 4126 in ascending order and write the smallest number. WB: Numbers 19

Solution: The ascending order of the given numbers is 4005 < 4126 < 4305 < 4906. The smallest number is 4005. 18) 4732 people visited a park on Friday and 6382 people visited it on Sunday. On which day did fewer people visit the park? Solution: Number of people who visited the park on Friday = 4732 Number of people who visited the park on Sunday = 6382 As 4732 < 6382, fewer people visited the park on Friday. Long Answer Questions 19) Form 4-digit numbers using 4, 5, 2 and 3, by repeating the two smallest digits. Find the largest and the smallest among them. Solution: The two smallest digits are 2 and 3. When they are repeated, the different 4-digit numbers that can be formed are 2233, 2323, 2332, 3223, 3232 and 3322. The greatest of them is 3322 and the smallest is 2233. 20) Arrange the following numbers in ascending and descending orders. a) 2061, 2160, 2601, 1620, 1260 b) 8139, 8913, 8391, 8816, 8618 Solution: a) Ascending order: 1260, 1620, 2061, 2160, 2601 Descending order: 2601, 2160, 2061, 1620, 1260 b) Ascending order: 8139, 8391, 8618, 8816, 8913 Descending order: 8913, 8816, 8618, 8391, 8139 20

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Emma arranged the numbers 6523, 1642, 1872 and 3219 in the ascending order as 1872 < 1642 < 3219 < 6523. Harsha arranged them as 1642 < 1872 < 3219 < 6523. Find out who is correct and explain why. Solution: Harsha’s arrangement is correct. Reason: When we compare the hundreds place, 6 hundreds < 8 hundreds. So, 1642 is the smallest number. As ascending order starts with the smallest number, Harsha’s arrangement is correct. Long Answer Question 22) A 4-digit number lies between 9990 and the largest 4-digit number has the sum of its digits as 33. Find the number. Solution: The numbers that lie between 9990 and the largest four digit number, 9999, are 9991, 9992, 9993, 9994, 9995, 9996, 9997 and 9998. Of these, the number whose sum of the digits is 33 is 9996 (9 + 9 + 9 + 6 = 33). WB: Numbers 21

Chapter 4 Addition Concept 4.1: Estimate the Sum of Two Numbers Recall Multiple Choice Questions 1) Write the missing number: 24 + 42 = __6 [C] [A] (A) 5 (B) 9 (C) 6 (D) 7 [D ] (D) 100 2) The sum of 200 and 300 is ___________. (D) 820 (A) 500 (B) 300 (C) 600 3) 800 + 20 = ________ (A) 800 (B) 802 (C) 280 & Remembering and Understanding Multiple Choice Questions 4) The value of 37 rounded off to the nearest tens is ________________. [B] (A) 30 (B) 40 (C) 3 (D) 10 5) The value of 82 rounded off to the nearest tens is ________________. [ D] (A) 90 (B) 85 (C) 100 (D) 80 6) The value of 165 rounded off to the nearest tens is ________________. [ C ] (A) 160 (B) 150 (C) 170 (D) both (A) and (C) Fill in the Blanks 7) The estimated sum of 45 and 27 is ____8_0____. 23

8) The value of 78 rounded off to the nearest tens is ___8_0___. 9) The value of 51 rounded off to the nearest tens is ___5_0___. Very Short Answer Questions 10) Estimate the sum of 15 and 21. Solution: The estimated sum is 20 + 20 = 40 11) Estimate the sum of 26 and 24. Solution: The estimated sum is 30 + 20 = 50 12) Estimate the sum of 81 and 11. Solution: The estimated sum is 80 + 10 = 90 Short Answer Questions 13) Estimate the sum of 354 and 235. Solution: Rounding off 354 to the nearest tens gives 350 (as 4 < 5). Rounding off 235 to the nearest tens gives 240 (as 5 = 5). Adding 350 and 240 we get 590. Therefore, the estimated of 354 and 235 is 590. 14) Estimate the sum of 567 and 312. Solution: Rounding off 567 to the nearest tens gives 570 (as 7 > 5). Rounding off 312 to the nearest tens gives 310 (as 2 < 5). Adding 570 and 310 we get 880. Therefore, the estimated sum of 567 and 312 is 880. Long Answer Questions 15) Estimate the sums of the following: a) 384 + 297 b) 416 + 261 Solution: a) Rounding off 384 to the nearest tens gives 380 (as 4 < 5). Rounding off 297 to the nearest tens gives 300 (as 7 > 5). Adding 380 and 300 we get 680. Therefore, the estimated sum of 384 and 297 is 680. 24

b) Rounding off 416 to the nearest tens gives 420 (as 6 > 5). Rounding off 261 to the nearest tens gives 260 (as 1 < 5). Adding 420 and 260 we get 680. Therefore, the estimated sum of 416 and 261 is 680. 16) Estimate: a) 224 + 567 b) 623 + 327 Solution: a) Rounding off 224 to the nearest tens gives 220 (as 4 < 5). Rounding off 567 to the nearest tens gives 570 (as 7 > 5). Adding 220 and 570 we get 790. Therefore, the estimated sum of 224 and 567 is 790. b)Rounding off 623 to the nearest tens gives 620 (as 3 < 5). Rounding off 327 to the nearest tens gives 330 (as 7 > 5). Adding 620 and 330 we get 950. Therefore, the estimated sum of 623 and 327 is 950. Application Short Answer Questions 17) Zeenat has 46 red roses and Kittu has 22 yellow roses. Estimate the total number of roses they have. Solution: 46 (red roses with Zeenat) rounded to the nearest tens is 50. 22 (yellow roses with Kittu) rounded to the nearest tens is 20. The sum of 50 and 20 is 70. Therefore, the estimated total number of roses they have is 70. 18) Appu has 57 pencils and Rahmat has 43 pencils. Estimate the total number of pencils they have. Solution: 57 (pencils with Appu) rounded to the nearest tens is 60. 43 (pencils with Rahmat) rounded to the nearest tens is 40. The sum of 60 and 40 is 100. Therefore, the estimated total number of pencils they have altogether is 100 WB: Addition 25

Long Answer Questions 19) Andy found 48 white seashells and 54 pink seashells. He put them in Basket A. Nargis found 23 white seashells and 57 pink seashells. She put them in Basket B. Estimate the total number of seashells in each basket. Solution: In the basket A, number of white seashells = 48 and pink seashells = 54 Rounding off 48 and 54 to the nearest tens, we get 50 and 50 respectively. Their sum is 50 + 50 = 100 In the basket B, number of white seashells = 23 and pink seashells = 57 Rounding off 23 and 57 to the nearest tens, we get 20 and 60 respectively. Their sum is 20 + 60 = 80. Therefore, there are about 100 seashells in basket A and 80 seashells in basket B. 20) In a fair, Sarah sold 39 orange cotton candies and 27 purple cotton candies. Sakshi sold 17 orange cotton candies and 46 purple cotton candies. Estimate the total number of candies that each of them sold. Solution: Number of orange cotton candies sold by Sarah = 39 Rounding off 39 to the nearest tens, we get 40. Number of purple cotton candies sold by Sarah = 27 Rounding off 27 to the nearest tens, we get 30. Their sum = 40 + 30 = 70 Number of orange cotton candies sold by Sakshi = 17 Rounding off 17 to the nearest tens, we get 20. Number of purple cotton candies sold by Sakshi = 46 Rounding off 46 to the nearest tens, we get 50. Their sum = 20 + 50 = 70 Therefore, Sarah and Sakshi sold about 70 candies each . Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Priya collected 456 stamps and Riya collected 289 stamps. Estimate the total number of stamps they collected. 26

Solution: Number of stamps collected by Priya = 456 Rounding off 456 to the nearest tens, we get 460. Number of stamps collected by Riya = 289 Rounding off 289 to the nearest tens, we get 290. The sum of 460 and 290 is 750. Therefore, the estimated total number of stamps that Priya and Riya have is 750. Long Answer Question 22) Manish has 381 game tickets and 215 movie tickets. Karthik has 472 game tickets and 328 movie tickets. Estimate the total number of game and movie tickets. Solution: Number of game tickets and movie tickets with Manish = 381 and 215 Rounding off 381 and 215 to the nearest tens, we get 380 and 220 respectively. Number of game tickets and movie tickets with Karthik = 472 and 328 Rounding off 472 and 328 to the nearest tens, we get 470 and 330 respectively. The sum of number of game tickets = 380 + 470 = 850 And the sum of number of movie tickets = 220 + 330 = 550 Therefore, there are 850 game tickets and 550 movie tickets in all with them. WB: Addition 27

Solution: Number of stamps collected by Priya = 456 Rounding off 456 to the nearest tens, we get 460. Number of stamps collected by Riya = 289 TRounding off 289 to the nearest tens, we get 290. PThe sum of 460 and 290 is 750. ETherefore, the estimated total number of stamps that Priya and Riya have is 750. CLong Answer Question N22) Manish has 381 game tickets and 215 movie tickets. Karthik has 472 game Otickets and 328 movie tickets. Estimate the total number of game and movie tickets. CSolution: Number of game tickets and movie tickets with Manish = 381 and 215 SRounding off 381 and 215 to the nearest tens, we get 380 and 220 respectively. UNumber of game tickets and movie tickets with Karthik = 472 and 328 IORounding off 472 and 328 to the nearest tens, we get 470 and 330 respectively. The sum of number of game tickets = 380 + 470 = 850 VAnd the sum of number of movie tickets = 220 + 330 = 550 PRETherefore, there are 850 game tickets and 550 movie tickets in all with them. Concept 4.2: Add 3-digit and 4-digit Numbers Recall Multiple Choice Questions 1) Addition of two or more numbers, by writing one below the other is called _________________________. [ B] (A) horizontal addition (B) vertical addition (C) vertical multiplication (D) vertical subtraction 2) The sum of 100 and 200 is ________________. [ B] (A) 400 (B) 300 (C) 600 (D) 200 WB: Addition 27

3) The sum when we carry forward the first digit while adding the ones digits would be ____________________. [D] (A) 10 (B) less than 10 (C) greater than 10 (D) both (A) and (C) & Remembering and Understanding Multiple Choice Questions 4) Which digit should we carry forward if the addition in the tens place is 13? [A] (A) 1 (B) 3 (C) 13 (D) 4 5) What do we first add while adding two 3-digit numbers? [A] (A) the digits in the ones place (B) the digits in the tens place (C) the digits in the hundreds place (D) all the digits 6) In addition, if the sum of the digits in the tens place is more than 9, we have to carry it forward to the ______________________. [C ] (A) ones place (B) thousands place (C) hundreds place (D) tens place Fill in the Blanks 7) The sum of the numbers 222 and 444 is _____6_6_6_____. 8) The sum of 1100 and 2200 is ____3_3__0_0____. 9) If the sum of the digits in the hundreds place is more than 9, we have to carry forward to the _______t_h_o_u__sa__n_d_s______ place. Very Short Answer Questions 10) Add 1111 and 1002. Solution: 2113 11) Add 4100 and 4200. Solution: 8300 28

12) What is the sum of 200 and 800? b) 1282 and 1117 O Solution: 1000 b) Th H T 2 7 Short Answer Questions 128 9 13) Find the sum of: a) 5375 and 2103 +11 1 Solution: a) Th H T O 239 5375 +2103 7478 14) Add: a) 2543 and 6345 b) 1463 and 2336 b) Th H T Solution: a) Th H T O O 25 4 3 146 3 6 +6345 +233 9 8888 379 Long Answer Questions 15) Solve: a) 569 + 483 b) 7728 + 2036 b) Th H T Solution: a) Th H T O O 11 1 1 9 8 56 3 772 6 2 4 + 48 +203 976 105 WB: Addition 29

16) Solve the following: a) 7866 + 1684 b) 3898 + 5783 b) Th H T Solution: a) Th H T O O 11 1 111 6 389 8 786 4 +5 7 8 3 +1 6 8 0 968 1 955 Application Short Answer Questions 17) Noah has 269 pens and Ali has 832 pens. How many pens do they both have? Solution: Number of pens Noah has = 269 H TO Number of pens Ali has = 832 11 Total number of pens = 269 + 832 269 + 832 1101 Therefore, they have 1101 pens in all. 18) Maya’s garden has 673 roses. Mia’s garden has 978 roses. How many roses are there in the two gardens? Solution: Number of roses in Maya’s garden = 673 H TO Number of roses in Mia’s garden = 978 11 Total number of roses = 673 + 978 673 Therefore, there are 1651 roses in the two + 978 gardens. 1651 30

Long Answer Questions 19) Jhansi gave ` 3609 to his daughter and ` 2630 to his son to buy books. How much money do they have altogether? Th H T O Solution: Amount that Jhansi’s daughter has = ` 3609 1 Amount that Jhansi’s son has = ` 2630 Total amount of money given = 3609 + 2630 3609 Therefore, they have ` 6239 altogether. +2 6 3 0 6239 20) Fazila has 2668 marbles and Sukhman has 5651 marbles. How many marbles do they both have together? Solution: Number of marbles with Fazila = 2668 Number of marbles with Sukhman = 5651 Th H T O Total number of marbles = 2668 + 5651 11 2668 +5 6 5 1 Therefore, they have 8319 marbles altogether. 8319 WB: Addition 31

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Frame a word problem from the given addition fact: 168 + 172 Solution: Learner’s response; For example: Sunita scored 168 runs in a cricket match and Anita scored 172 runs. How many runs did Sunita and Anita score in all? Long Answer Question 22) School A has 1205 students. School B and School C have 2211 and 1671 students respectively. What is the total number of students in the three schools? Solution: Number of students in School A = 1205 Number of students in School B = 2211 Th H T O Number of students in School C = 1671 1 Total number of students in the three schools 1205 = 1205 + 2211 + 1671 +2 2 1 1 Therefore, there are 5087 students in the +1 6 7 1 three schools. 5087 32

Concept 4.3: Add 2-digit Numbers Mentally Recall Multiple Choice Questions 1) The sum of 2 and 3 is _____________. [ D] [C ] (A) 2 (B) 3 (C) 4 (D) 5 [ A] (D) 7 2) The sum of 7 and 1 is _____________. (D) 12 (A) 5 (B) 6 (C) 8 3) The sum of 8 and 3 is _____________. (A) 11 (B) 10 (C) 9 & Remembering and Understanding Multiple Choice Questions 4) The sum of the ones digits of 21 and 35 is _____________. [ C] [B] (A) 4 (B) 5 (C) 6 (D) 7 [ A] 5) The sum of the tens digits of 23 and 52 is _____________. (A) 6 (B) 7 (C) 5 (D) 4 6) The sum of 22 and 11 is _____________. (A) 33 (B) 43 (C) 53 (D) 11 Fill in the Blanks 7) While adding mentally, first we add the digits in the ____o_n_e__s____ place. 8) The sum of 21 and 11 is ____3_2____. 9) The sum of 31 and 13 is ____4_4____. Very Short Answer Questions 10) Find the sum of 22 and 44 mentally. Solution: 66 WB: Addition 33

11) Find the sum of 45 and 42 mentally. Solution: 87 12) Find the sum of 54 and 41 mentally. Solution: 95 Short Answer Questions 13) Add mentally: a) 11 and 80 b) 43 and 53 Solution: a) 11 + 80 = 91 b) 43 + 53 = 96 14) Add mentally: a) 42 and 31 b) 36 and 43 Solution: a) 42 + 31 = 73 b) 36 + 43 = 79 Long Answer Questions 15) Add the following mentally. a) 64 and 65 b) 85 and 52 c) 56 and 52 d) 88 and 77 Solution: a) 64 + 65 =129 b) 85 + 52 = 137 c) 56 + 52 = 108 d) 88 + 77 = 165 16) Add the following mentally. a) 92 and 45 b) 75 and 53 c) 64 and 46 d) 35 and 77 Solution: a) 92 + 45 =137 b) 75 + 53 = 128 c) 64 + 46 = 110 d) 35 + 77 = 112 Application Short Answer Questions 17) Ziri scored 37 marks in Term 1 and 51 marks in Term 2 in Mathematics. What is his total score in both the terms? Solve mentally. Solution: Ziri’s score in term 1 = 37 Ziri’s score in term 2 = 51 So, total score in both the terms = 37 + 51 = 88 34

18) Section A of Class 3 has 41 students and Section B has 43 students. What is the total number of students in Class 3? Solve mentally. Solution: Number of students in section A = 41, Number of students in section B = 43 So, total number of students in class 3 = 41 + 43 = 84 Long Answer Questions 19) Sugatha has 22 red roses and 39 pink roses. How many roses does she have in all? Solve mentally. Solution: Number of red roses = 22, Number pink roses = 39 So, total number of roses = 22 + 39 = 61 20) Manju has 63 white sheets and 42 yellow sheets of papers. How many sheets of paper does she have in all? Solve mentally. Solution: Number of white sheets = 63, Number yellow sheets = 42 So, total number of sheets = 63 + 42 = 105 Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Add mentally: 17, 26 and 37 Solution: Sum of 17 and 26 = 17 + 26 = 43 Sum of 43 and 37 = 43 + 37 = 80 Therefore, sum of 17, 26 and 37 is 80 Long Answer Question 22) Add mentally: a) 52, 12 and 31 b) 65, 48, and 27 Solution: a) Sum of 52 and 12 = 52 + 12 = 64, Sum of 64 and 31 = 64 + 31 = 95 Therefore, sum of 52, 12 and 31 is 95 b) Sum of 65 and 48 = 65 + 48 = 113, Sum of 113 and 27 = 113 + 27 = 140 Therefore, sum of 65, 48, and 27 is 140 WB: Addition 35

Chapter 5 Subtraction Concept 5.1: Estimate the Difference between Two Numbers Recall Multiple Choice Questions 1) Rounding off 42 to the nearest 10s, we get ____________. [B] [B] (A) 50 (B) 40 (C) 45 (D) 55 [ C] 2) Rounding off 91 to the nearest 10s, we get ____________. [B] [A] (A) 100 (B) 90 (C) 95 (D) 99 [C] 3) Rounding off 60 to the nearest 10s, we get ____________. (A) 50 (B) 40 (C) 60 (D) 65 & Remembering and Understanding Multiple Choice Questions 4) The difference between 77 and 23 is about ____________. (A) 50 (B) 60 (C) 70 (D) 40 5) The estimated difference between 69 and 24 is ____________. (A) 50 (B) 40 (C) 45 (D) 55 6) The estimated difference between 21 and 11 is ____________. (A) 5 (B) 15 (C) 10 (D) 20 Fill in the Blanks 7) The estimated difference between 75 and 45 is ____3_0___. 38

8) The estimated difference between 65 and 45 is ___2_0____. 9) The estimated difference between 92 and 43 is ___5__0___. Very Short Answer Questions 10) Estimate the difference between 64 and 37. Solution: 60 – 40 = 20 11) Estimate the difference between 37 and 31. Solution: 40 – 30 = 10 12) Estimate the difference between 92 and 77. Solution: 90 – 80 = 10 Short Answer Questions 13) Estimate the difference between 527 and 236. Solution: Rounding off 527 to the nearest tens = 530 Rounding off 236 to the nearest tens = 240 Estimated difference = 530 – 240 = 290 14) Estimate the difference between 458 and 274. Solution: Rounding off 458 to the nearest tens = 460 Rounding off 274 to the nearest tens = 270 Estimated difference = 460 – 270 = 190 Long Answer Questions 15) Estimate the difference between the following numbers. a) 707 and 263 b) 549 and 296 Solution: a) 707 – 263 Rounding off 707 to the nearest tens = 710 WB: Subtraction 39

Rounding off 263 to the nearest tens = 260 Estimated difference = 710 – 260 = 450 b) 549 – 296 Rounding off 549 to the nearest tens = 550 Rounding off 296 to the nearest tens = 300 Estimated difference = 550 – 300 = 250 16) Estimate the difference between the following numbers. a) 870 and 648 b) 743 and 378 Solution: a) 870 – 648 Rounding off 870 to the nearest tens = 870 Rounding off 648 to the nearest tens = 650 Estimated difference = 870 – 650 = 220 b) 743 – 378 Rounding off 743 to the nearest tens = 740 Rounding off 378 to the nearest tens = 380 Estimated difference = 740 – 380 = 360 Application Short Answer Questions 17) Ramu had 56 green balloons. He gave 25 balloons to Sandy. Estimate how many balloons were left. Solution: Rounding off 56 (balloons with Ramu) to the nearest tens = 60 Rounding off 25 (balloons given to Sandy) to the nearest tens = 30 Estimated difference = 60 – 30 = 30 Therefore, around 30 balloons were left with Ramu. 40

18) Mumbai has 83 bridges and Delhi has 68 bridges. Estimate how many more bridges are there in Mumbai than in Delhi. Solution: Rounding off 83 (bridges in Mumbai) to the nearest tens = 80 Rounding off 68 (bridges in Delhi) to the nearest tens = 70 Estimated difference = 80 – 70 = 10 Therefore, about 10 more bridges are there in Mumbai than in Delhi. Long Answer Questions 19) A team of 589 students is divided in red and blue groups. About how many students are in the blue group if 376 students are in the red group? Solution: Rounding off 589 (total number of students) to the nearest tens = 590 Rounding off 376 (students in red group) to the nearest tens = 380 Estimated difference = 590 – 380 = 210 Therefore, around 210 students are from the blue group. 20) Simran has 276 balloons. Ammu has 237 balloons. About how many balloons does Simran have more than Ammu? Solution: Rounding off 276 (balloons with Simran) to the nearest tens = 280 Rounding off 237 (balloons with Ammu) to the nearest tens = 240 Estimated difference = 280 – 240 = 40 Therefore, Simran has about 40 more balloons than Ammu. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) There are 98 students in Divisions A, B and C of Class 3. 32 students are from Division A and 28 students are from Division B. How many students are in Division C? WB: Subtraction 41

Solution: Rounding off the total number of students in divisions A, B and C to the nearest 10 = 100 Rounding off the number of students in division A to the nearest 10 = 30 Rounding off the number of students in division B to the nearest 10 = 30 Total estimated number of students in Divisions A and B = 30 + 30 = 60 The estimated number of students in Division C = 100 – 60 = 40 Long Answer Question 22) There are 432 students in Class 3. Of them, 122 students like Mathematics and 210 students like Science. The remaining students like Social Studies. How many students like Social Studies? Solution: Rounding off the total number of students in Class 3 to the nearest 10 = 430 Rounding off the number of students who like Mathematics to the nearest 10 = 120 Rounding off the number of students who like Science to the nearest 10 = 210 An estimation of the total number of students who like Mathematics and Science = 120 + 210 = 330 Number of students who like Social Science = 430 – 330 = 100 Therefore, about 100 students like Social Studies. 42

Solution: Rounding off the total number of students in divisions A, B and C to the nearest 10 = 100 Rounding off the number of students in division A to the nearest 10 = 30 TRounding off the number of students in division B to the nearest 10 = 30 EPTotal estimated number of students in Divisions A and B = 30 + 30 = 60 CThe estimated number of students in Division C = 100 – 60 = 40 NLong Answer Question O22) There are 432 students in Class 3. Of them, 122 students like Mathematics and 210 students like Science. The remaining students like Social Studies. How many Cstudents like Social Studies? SSolution: Rounding off the total number of students in Class 3 to the nearest 10 = 430 URounding off the number of students who like Mathematics to the nearest 10 = 120 IORounding off the number of students who like Science to the nearest 10 = 210 VAn estimation of the total number of students who like Mathematics and EScience = 120 + 210 = 330 PRNumber of students who like Social Science = 430 – 330 = 100 Therefore, about 100 students like Social Studies. Concept 5.2: Subtract 3-digit and 4-digit Numbers Recall Multiple Choice Questions 1) We begin subtraction from the _________________ place. [ B] (A) tens (B) ones (C) hundreds (D) thousands 2) The difference when 55 is subtracted from 95 is ___________. [ C] (A) 70 (B) 60 (C) 40 (D) 50 42

3) The difference between 500 and 300 is __________. [ D] (A) 100 (B) 300 (C) 400 (D) 200 & Remembering and Understanding Multiple Choice Questions 4) The difference when 1 is subtracted from a number is ______________. [C ] [C] (A) the number itself (B) zero (C) the previous number (D) the next number 5) Find the missing number in the following. Th H T O 5835 −2 3 1 2 3 5 2 __ (A) 1 (B) 2 (C) 3 (D) 4 6) The difference when 3333 is subtracted from 6666 is _________________. [ B ] (A) 2222 (B) 3333 (C) 3330 (D) 3000 Fill in the Blanks 7) In the subtraction of 4-digit numbers, regrouping can be done in thousands, hundreds, tens and ________o_n_e_s_________ places. 8) 6000 − 6000 = _________0________ 9) 3333 − 1111 = _______2_2_2_2_______ Very Short Answer Questions 10) What is the difference between 9888 and 1000? Solution: 8888 11) What is the difference between 8888 and 8000? Solution: 888 WB: Subtraction 43

12) Subtract 2000 from 6000. b) 1487 from 3999 O Solution: 4000 b) Th H T 9 7 Short Answer Questions 399 2 −1 4 8 13) Subtract: a) 2148 from 3569 Solution: a) Th H T O 251 3569 −2 1 4 8 1421 14) Subtract: a) 4635 from 7676 b) 2710 from 8942 O Solution: a) Th H T O b) Th H T 2 0 7676 894 2 −4 6 3 5 −2 7 1 3041 623 Long Answer Questions 15) Solve the following: a) 631 – 444 b) 4461 – 3569 b) Th H T O Solution: a) H TO 5 12 11 3 13 15 11 4 4 61 6 31 –3 5 69 –4 44 0 8 92 1 87 44

16) Solve the following: a) 840 – 522 TO b) 6584 – 4485 Solution: a) H 3 10 b) Th H T O 8 40 4 17 14 6 5 84 –5 22 3 18 –4 4 85 2 0 99 Application Short Answer Questions 17) 312 birds were sitting on a tree. Some birds flew away. Now, there are 231 birds on the tree. How many birds flew away? Solution: Number of birds on the tree = 312 H TO Number of birds remaining after some flew 2 11 3 12 away = 231 –2 31 Number of birds that flew away = 312 – 231 Therefore, 81 birds flew away. 0 81 18) There is 850 g of sugar in a bowl. Akbar used 645 g of sugar for making halwa. How much sugar is left in the bowl? WB: Subtraction 45

Solution: Quantity of sugar in a bowl = 850 g H TO Quantity of sugar used by Akbar = 645 g 4 10 Quantity of sugar left in the bowl = 850 g – 645 g 8 50 Therefore, 205 g of sugar is left in the bowl. –6 45 2 05 Long Answer Questions 19) 6348 children went on a picnic. At a bus stop, some more children got into some of the buses. When they reached the picnic spot, there were 7821 children altogether. How many children got into the buses at the bus stop? Solution: Number of children who went on a picnic = 6348 Total number of children that reached the picnic spot = 7821 Th H T O Number of students who got into the buses at the 7 11 11 bus stop = 7821 – 6348 7821 –6 3 4 8 Therefore, 1473 students got into the buses at the 1473 bus stop. 20) Stephen makes 3975 bottles of apple juice and 9271 bottles of mango juice. How many more bottles of mango juice did he make? Solution: Number of bottles of apple juice = 3975 Number of bottles of mango juice = 9271 Number of bottles of mango juice more than apple juice = 9271 – 3975 46

Therefore, Stephen made 5296 more bottles Th H T O of mango juice than apple juice. 8 11 16 11 9 2 71 – 3 9 75 5 2 96 Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Frame a word problem using 842 – 422 = 420. Solution: Learner’s response; for example: Nisha has 842 marbles. She gave 422 marbles to her brother. How many marbles are left with Nisha? Long Answer Question 22) Frame word problems for the following. a) 184 – 127 b) 1246 – 1230 Solution: Learner’s response; for example: a) Sachin scored 184 runs. Sunil scored 127 runs. How many more runs did Sachin score than Sunil? b) Meena has ` 1246 and Reema has ` 1230. How much less money does Reema have than Meena? WB: Subtraction 47

Concept 5.3: Subtract 2-digit Numbers Mentally Recall Multiple Choice Questions 1) The difference when 6 is subtracted from 8 is ________. [ C] [ A] (A) 3 (B) 5 (C) 2 (D) 14 [ A] 2) The difference when 1 is subtracted from 4 is ________. (A) 3 (B) 4 (C) 5 (D) 6 3) The difference when 5 is subtracted from 5 is ________. (A) 0 (B) 4 (C) 5 (D) 6 & Remembering and Understanding Multiple Choice Questions 4) The difference between the ones digits of 45 and 32 is ________. [ C] [ A] (A) 1 (B) 2 (C) 3 (D) 4 [ D] 5) The difference between the tens digits of 27 and 15 is ________. (A) 1 (B) 2 (C) 3 (D) 0 6) The difference between 35 and 15 is ________. (A) 10 (B) 30 (C) 40 (D) 20 Fill in the Blanks 7) While subtracting mentally, we first subtract the digits in the ____o_n__e_s___ place. 8) The difference between 22 and 11 is ___1_1___. 9) The difference between 40 and 30 is ___1_0___. Very Short Answer Questions 10) Subtract 12 from 22 mentally. Solution: 10 48

11) Subtract 42 from 62 mentally. b) 87 – 57 Solution: 20 b) 87 – 57 = 30 12) Subtract 50 from 60 mentally. Solution: 10 b) 78 – 51 b) 78 – 51 = 27 Short Answer Questions 13) Solve mentally: a) 43 – 32 Solution: a) 43 – 32 = 11 14) Solve mentally: a) 57 – 12 Solution: a) 57 – 12 = 45 Long Answer Questions 15) Solve the following mentally. a) 73 – 51 b) 77 – 66 c) 54 – 22 d) 82 – 21 b) 77 – 66 = 11 Solution: a) 73 – 51 = 22 d) 82 – 21 = 61 c) 54 – 22 = 32 16) Subtract the following mentally. a) 96 – 64 b) 85 – 23 c) 77 – 36 d) 68 – 46 b) 85 – 23 = 62 Solution: a) 96 – 64 = 32 d) 68 – 46 = 22 c) 77 – 36 = 41 WB: Subtraction 49

Application Short Answer Questions 17) Veena has to attend 75 Maths classes in a term. She attended 24 of them. How many more classes must she attend? Solve mentally. Solution: 75 – 24 = 51 Therefore, Veena must attend 51 more classes. 18) Aparajita got 87 marks in Maths and 73 marks in Science. How much more marks did she score in Maths than in Science? Solve mentally. Solution: 87 – 73 = 14 Therefore, Aparajita scored 14 marks more in Maths than in Science. Long Answer Questions 19) There are 18 white roses and 42 yellow roses in a bunch. How many more yellow roses are there in the bunch? Solve mentally. Solution: 42 – 18 = 24 Therefore, 24 more yellow roses than the white roses are there in the bunch. 20) A rope is 95 cm long. Another rope is 38 cm smaller than it. How longer is the *first rope than the * second rope? Solve mentally. (*Note: interchange the word 'first' and 'second' in the question) Solution: 95 – 38 = 57 Therefore, the first rope is 57 cm longer than the second rope. 50

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Mohan has 29 storybooks. Ravi borrowed 20 storybooks from Mohan. How many storybooks remain with Mohan? Solve mentally. Solution: 29 – 20 = 9 So, 9 story books remain with Mohan. Long Answer Question 22) Hari has ` 95. He spent ` 37 and his father gave him ` 28. How much money does Hari have now? Solve mentally. Solution: ` 95 – ` 37 = ` 58 ` 58 + ` 28 = ` 86 So, Hari has ` 86 now. WB: Subtraction 51