NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 1 1/25/2018 10:50:27 AM
Preface IMAX partners with schools, supporting them with learning materials and processes that are all crafted to work together as an interconnected system to drive learning. IMAX presents the latest version of the Alpine series – updated and revised after considering the perceptive feedback and comments shared by our experienced reviewers and users. Designed specifically for state board schools, the Alpine series endeavours to be faithful to the spirit of State Curriculum Framework and the National Curriculum Framework (NCF) 2005. Therefore, our books strive to ensure inclusiveness in terms of gender and diversity in representation, catering to the heterogeneous Indian classroom. The aim of the NCF 2005 regarding Mathematics teaching is to develop the abilities of a student to think and reason mathematically, pursue assumptions to their logical conclusion and handle abstraction. The Alpine Mathematics textbooks and workbooks for state board schools offer the following features: Structured as per Bloom’s taxonomy to help organise the learning process according to the different levels involved Student engagement through simple, age-appropriate language Supported learning through visually appealing images, especially for grades 1 and 2 Increasing rigour in sub-questions for every question in order to scaffold learning for students Word problems based on real-life scenarios, which help students to relate Mathematics to their everyday experiences Mental Maths to inculcate level-appropriate mental calculation skills S tepwise breakdown of solutions to provide an easier premise for learning of problem-solving skills Overall, the IMAX Alpine Mathematics textbooks, workbooks and teacher companion books aim to enhance logical reasoning and critical thinking skills that are at the heart of Mathematics teaching and learning. – The Authors NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 2 1/25/2018 10:50:27 AM
Recall Aims at revising the prerequisite knowledge for the concept from the previous year/chapter/concept/term Remembering and Understanding Provides opportunities for practising the basic elements involved in the learning of the concept Application Applies the understanding of the concept to questions related to real-life scenarios Higher Order Thinking Skills (H.O.T.S.) Extends the concept to more advanced and challenging questions that meet the criteria of higher order thinking skills NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 3 1/25/2018 10:50:27 AM
1 Shapes 1 1.1 Vertices and Diagonals of Two-dimensional Shapes 6 2 Patterns 12 16 2.1 Patterns in Shapes and Numbers 21 3 Numbers 26 31 3.1 Count by Thousands 3.2 Compare 4-digit Numbers 34 39 4 Addition 44 4.1 Add 3-digit and 4-digit Numbers 48 4.2 Estimate the Sum of Two Numbers 53 4.3 Add 2-digit Numbers Mentally 58 5 Subtraction 5.1 Subtract 3-digit and 4-digit Numbers 5.2 Estimate the Difference between Two Numbers 5.3 Subtract 2-digit Numbers Mentally 6 Multiplication 6.1 Multiply 2-digit Numbers 6.2 Multiply 3-digit Numbers by 1-digit and 2-digit Numbers 6.3 Double 2-digit and 3-digit Numbers Mentally NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text_Corrected pages done TOC.pdf 1 2/2/2018 4:15:31 PM
Chapter 1 Shapes Concept 1.1: Vertices and Diagonals of Two-dimensional Shapes Recall Multiple Choice Questions 1) The shape of is a _________________________. [] (A) circle (B) square (C) rectangle (D) triangle ] 2) A triangle is a _________ figure. (C) both (A) and (B) [ (A) 2D (B) closed (D) open 3) The shape of is a _________________________. [] (A) square (B) rectangle (C) triangle (D) circle & Remembering and Understanding Multiple Choice Questions 4) The point where at least two sides of a figure meet is called a/an _____. [ ] (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 _________. [] (A) vertex (B) diagonal (C) line (D) edge NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 5 1 1/25/2018 10:50:27 AM
DC 6) The diagonals in are _________________________. [ ] AB (A) AB, BC (B) AD, CB (C) AC, BD (D) AB, DC Fill in the Blanks 7) A triangle has diagonals. 8) A circle has vertices. 9) A square and a rectangle have vertices. Very Short Answer Questions 10) What is the unique feature of a square? Solution: 11) How many vertices does a triangle have? Solution: 12) How many diagonals does a circle have? Solution: Short Answer Questions 13) Complete the following table. Shape Vertices Diagonals PQ SR 14) Complete the following table. Shape Vertices Diagonals A DB C 1/25/2018 10:50:27 AM 2 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 6
Long Answer Questions A B 15) Look at the figure and answer the following questions. D C a) How many vertices does it have? Name them. b) Name the diagonal from A. Solution: 16) Draw a square WXYZ and answer the following questions. a) Name the vertices. b) Name the diagonals. S olution: Application Short Answer Questions 17) Complete the following table. Shapes Number of vertices Number of diagonals Shapes 3 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 7 1/25/2018 10:50:27 AM
18) Complete the following table. Shapes Number of vertices Number of diagonals 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: 20) What is the shape of the given picture? Find the number of: a) sides b) diagonals c) vertices Solution: 4 1/25/2018 10:50:27 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 8
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: Long Answer Question GF 22) Look at the figure and answer the following questions. D CH E a) What is the shape? b) Name the vertices. AB c) Name the edges. d) Name the faces. Solution: Shapes 5 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 9 1/25/2018 10:50:27 AM
Chapter 2 Patterns Concept 2.1: Patterns in Shapes and Numbers [] Recall Multiple Choice Questions 1) Which of the following is a pattern that is usually found on carpets? (A) (B) (C) (D) 2) Which of the following is a pattern of window grills? [] (A) (B) 1/25/2018 10:50:28 AM (C) (D) 6 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 10
3) Which of the following is a pattern that is found in nature? [] (A) (B) (C) (D) & Remembering and Understanding Multiple Choice Questions 4) Which of the following patterns shows alternate circle (O) and triangle ( )? [ ] ] (A) (B) AABBAABB EE (C) (D) 5) What is the set of basic shape(s) in the pattern ? [ (A) (B) (C) (D) 6) Which number will come next in the pattern: 4, 10, 16, 22? [] (A) 20 (B) 26 (C) 28 (D) 30 Patterns 7 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 11 1/25/2018 10:50:28 AM
Fill in the Blanks 7) 2, 4, ______ , ______ , 10, 12, 14 8) 20, 30, ______ , ______ , 60, 70, 80 9) A pattern using two squares and one triangle is ______________________. 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: 12) Complete the given growing pattern. 110,120 ________, ________, 150,160,170 … Short Answer Questions 13) What is a pattern? Draw a pattern using the given two figures. Solution: 14) Do number patterns follow the rules? If yes, name any two types of number patterns? Solution: 8 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 12
Long Answer Questions 15) Complete the next four terms of the following patterns. a) 4, 8, 12, ______, ______, ______, ______. b) 6, 9, 12, ______, ______, ______, ______. c) 11, 22, 33, ______, ______, ______, ______. d) 21, 24, 27, ______, ______, ______, ______. 16) Complete the following patterns by writing the next four numbers in each. a) 8, 16, 24, ______, ______, ______, ______. b) 7, 14, 21, ______, ______, ______, ______. c) 12, 24, 36, ______, ______, ______, ______. d) 13, 26, 39, ______, ______, ______, ______. Application Short Answer Questions 17) Find the basic tile in the following tile patterns. Mark it on the tile. a) b) Solution: 18) Look at these tile patterns. Draw the shapes used in these patterns. a) b) Patterns 9 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 13 1/25/2018 10:50:28 AM
Solution: Long Answer Questions 19) What is the shape of the basic tile in the following patterns? a) b) c) d) Solution: 20) What is tiling? Where do we see tiling? Do we see tiling patterns in parking areas? Solution: 10 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 14
Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Complete the following patterns. a) 1A, 6B, 11C, _______, _______, _______. b) 1A, 5C, 9E, _______, _______, _______. 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. Solution: Patterns 11 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 15 1/25/2018 10:50:28 AM
Chapter 3 Numbers Concept 3.1: Count by Thousands Recall Multiple Choice Questions 1) The smallest 3-digit number is ______________. [ ] ] (A) 100 (B) 999 (C) 101 (D) 900 ] 2) The number name for 425 is ______________. [ (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 ______________. [ (A) 6 (B) 0 (C) 4 (D) 8 & Remembering and Understanding Multiple Choice Questions 4) The standard form of 4000 + 400 + 40 + 4 is ______________. [ ] (A) 4004 (B) 4040 (C) 4444 (D) 4440 5) One represents 100, then represents _____________.[ ] ] (A) 250 (B) 300 (C) 350 (D) 200 6) The smallest 4-digit number is ______________. [ (A) 9999 (B) 1000 (C) 100 (D) 999 12 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 16
Fill in the blanks 7) T he form in which a number is written as the sum of the place values of its digits is called its ____________________________. 8) The place value of 9 in 9320 is ____________. 9) The number name of 5060 is __________________________________. Very Short Answer Questions 10) Expand 4378. Solution: 11) Write the standard form of 6000 + 300 + 1. Solution: 12) Write the number name of 3852. Solution: Short Answer Questions 13) Write the expanded form and the number name of 1798. Solution: 14) Write the expanded form of 8136. Write the number in words. Solution: Numbers 13 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 17 1/25/2018 10:50:28 AM
Long Answer Questions 15) Write 3000 + 400 + 60 + 5 in its standard form. Show the number on abacus and write its number name. Solution: Th H T O 16) Write the expanded forms of the following numbers. Write their number names. a) 6021 b) 2138 Solution: 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: 14 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 18
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: 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: 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: Numbers 15 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 19 1/25/2018 10:50:28 AM
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: Concept 3.2: Compare 4-digit Numbers [ ] [] Recall 1/25/2018 10:50:28 AM Multiple Choice Questions 1) The largest number among the following is ____________. (A) 3165 (B) 169 (C) 68 (D) 7204 2) The smallest number among 302, 30 and 3 is ___________. (A) 3 (B) 302 (C) 30 (D) 320 16 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 20
3) Write the correct symbol in the blank: 346 ______ 3046 [ ] (A) < (B) > (C) = (D) all of these & Remembering and Understanding Multiple Choice Questions 4) The greater of the numbers 215 and 3610 is ____________. [] (A) 215 (B) 3610 (C) both are equal (D) cannot be said 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 ________. 8) The greatest number among 3150, 5013, 5130, 5031 is ________. 9) Fill in following with <, > (or) = symbol. 6512 ________ 5261 Very Short Answer Questions 10) Which is the greater of the numbers 5265 and 5652? Solution: 11) Compare the numbers using the symbols <, > (or) =. a) 4612 ______ 4626 12) Which is the greater number? six thousand three hundred and ninety-two, six thousand three hundred and ninety-eight Solution: Numbers 17 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 21 1/25/2018 10:50:28 AM
Short Answer Questions 13) Write the smallest and the largest 4-digit numbers among 2400, 4200, 2200 and 4400. Solution: 14) Write the smallest and the largest numbers among 1478, 9240, 2584, 8362 and 1024. Solution: Long Answer Questions 15) Write the smallest and the largest numbers among a) 863, 3972, 183 and 748 b) 462, 2973, 324 and 268 Solution: 16) W rite 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: Application Short Answer Questions 17) Arrange 4305, 4906, 4005 and 4126 in ascending order and write the smallest number. 18 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 22
Solution: 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: 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: 20) Arrange the following numbers in ascending and descending orders. a) 2061, 2160, 2601, 1620, 1260 b) 8139, 8913, 8391, 8816, 8618 Solution: Numbers 19 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 23 1/25/2018 10:50:28 AM
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: Long Answer Question 22) A 4-digit number that lies between 9990 and the largest 4-digit number has the sum of its digits as 33. Find the number. Solution: 20 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 24
Chapter 4 Addition Concept 4.1: 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 ] _________________________.[ ] (A) horizontal addition (B) vertical addition (C) vertical multiplication (D) vertical subtraction 2) The sum of 100 and 200 is ________________. [ (A) 400 (B) 300 (C) 600 (D) 200 3) The sum when we carry forward the first digit while adding the ones digits would be ____________________. [] (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) 1 (B) 3 (C) 13 (D) Both (A) and (B) 5) What do we first add while adding two 3-digit numbers? [ (A) The digits in the ones place (B) The digits in the tens place (C) The digits in the hundreds place (D) All of the above NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 25 21 1/25/2018 10:50:28 AM
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 ______________________. [] (A) ones place (B) thousands place (C) hundreds place (D) all of the above Fill in the Blanks 7) The sum of the numbers 222 and 444 is _________. 8) The sum of 1100 and 2200 is __________. 9 ) If the sum of the digits in the hundreds place is more than 9, we have to carry forward to the ___________________ place. Very Short Answer Questions 10) Add 1111 and 1002. Solution: 11) Add 4100 and 4200. Solution: 12) What is the sum of 200 and 800? Solution: Short Answer Questions 13) Find the sum of: a) 5375 and 2103 b) 1282 and 1117 Solution: 22 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 26
14) Add: a) 2543 and 6345 b) 1463 and 2336 Solution: Long Answer Questions b) 7728 + 2036 15) Solve the following: a) 569 + 483 Solution: 16) Solve the following: b) 3898 + 5783 a) 786 + 168 Solution: Addition 23 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 27 1/25/2018 10:50:28 AM
Application Short Answer Questions 17) Noah has 269 pens and Ali has 832 pens. How many pens do they both have? Solution: 18) Maya’s garden has 673 roses. Mia’s garden has 978 roses. How many roses are there in the two gardens? Solution: 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? Solution: 24 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 28
20) Fazila has 2668 marbles and Sukhman has 5651 marbles. How many marbles do they both have together? Solution: Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Frame a question from the given information. Sunita scored 168 runs in cricket and Anita scored 172 runs. Solution: Addition 25 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 29 1/25/2018 10:50:28 AM
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: Concept 4.2: Estimate the Sum of Two Numbers Recall Multiple Choice Questions [] [] 1) Write the missing number: 24 + 42 = __6 [] (A) 5 (B) 9 (C) 6 (D) 7 2) The sum of 200 and 300 is ___________. (A) 500 (B) 300 (C) 600 (D) 100 3) 800 + 20 = ________ (A) 800 (B) 802 (C) 280 (D) 820 26 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 30
& Remembering and Understanding Multiple Choice Questions 4) The value of 37 rounded off to the nearest tens is ________________. [ ] ] (A) 30 (B) 40 (C) 3 (D) 10 ] 5) The value of 82 rounded off to the nearest tens is ________________. [ (A) 90 (B) 85 (C) 100 (D) 80 6) The value of 165 rounded off to the nearest tens is ________________. [ (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) The value of 78 rounded off to the nearest tens is _______. 9) The value of 51 rounded off to the nearest tens is _______. Very Short Answer Questions 10) Estimate the sum of 15 and 21. Solution: 11) Estimate the sum of 26 and 24. Solution: 12) Estimate the sum of 81 and 11. Solution: Short Answer Questions 13) Estimate the sum of: 354 + 235 Solution: Addition 27 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 31 1/25/2018 10:50:28 AM
14) Estimate the sum of: 567 + 312 Solution: Long Answer Questions 15) Estimate the sums of the following: a) 384 + 297 b) 416 + 261 Solution: 16) Estimate: a) 224 + 567 b) 623 + 327 Solution: 28 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 32
Application Short Answer Questions 17) Zeenat has 46 red roses and Kittu has 22 yellow roses. Estimate the total number of roses that they have. Solution: 18) Appu has 57 pencils and Rahmat has 43 pencils. Estimate the total number of pencils that they have. Solution: 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: 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. Addition 29 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 33 1/25/2018 10:50:28 AM
Solution: 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 that they collected. Solution: 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 with them. Solution: 30 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 34
Concept 4.3: Add 2-digit Numbers Mentally Recall Multiple Choice Questions (D) 5 [] 1) The sum of 2 and 3 is _____________. (D) 7 [] (A) 2 (B) 3 (C) 4 (D) 12 [] 2) The sum of 7 and 1 is _____________. (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 _____________. [ ] (A) 4 (B) 5 (C) 6 (D) 7 [ ] 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 ____________ place. 8) The sum of 21 and 11 is _________. 9) The sum of 31 and 13 is _________. Very Short Answer Questions 10) Find the sum of 22 and 44 mentally. Solution: Addition 31 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 35 1/25/2018 10:50:28 AM
11) Find the sum of 45 and 42 mentally. Solution: 12) Find the sum of 54 and 41 mentally. Solution: Short Answer Questions 13) Add mentally: a) 11 and 80 b) 43 and 53 Solution: 14) Add mentally: a) 42 and 31 b) 36 and 43 Solution: 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: 16) Add the following mentally. c) 64 and 46 d) 35 and 77 a) 92 and 45 b) 75 and 53 Solution: Application Short Answer Questions 17) Ziri scored 37 marks in Term 1 and 51 marks in Term 2 in Mathematics. What is her total score in both the terms? Solve mentally. Solution: 32 1/25/2018 10:50:28 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 36
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: Long Answer Questions 19) Sugatha has 22 red roses and 39 pink roses. How many roses does she have in all? Solve mentally. Solution: 20) Manju has 63 white sheets and 42 yellow sheets of papers. How many sheets of paper does she have in all? Solution: Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Add mentally: 17, 26 and 37 Solution: Long Answer Question b) 65, 48, and 27 22) Add mentally: a) 52, 12 and 31 Solution: Addition 33 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 37 1/25/2018 10:50:29 AM
Chapter 5 Subtraction Concept 5.1: Subtract 3-digit and 4-digit Numbers Recall Multiple Choice Questions 1) We begin subtraction from the _________________. [] (A) tens place (B) ones place (C) hundreds place (D) thousands place 2) The difference when 55 is subtracted from 95 is___________. [] (A) 70 (B) 60 (C) 40 (D) 50 3) The difference between 500 and 300 is __________. [] (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 ______________. [ ] (A) the number itself (B) zero (C) the previous number (D) the next number 5) Find the missing number in the following. [] Th H TO 5 8 35 −2 3 12 3 5 2 __ (A) 1 (B) 2 (C) 3 (D) 4 34 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 38
6) The difference when 3333 is subtracted from 6666 is_________________. [ ] (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 ____________________ places. 8) 6000 − 6000 = _________________ 9) 3333 − 1111 = _________________ Very Short Answer Questions 10) What is the difference between 9888 and 1000? Solution: 11) What is the difference between 8888 and 8000? Solution: 12) Subtract 2000 from 6000. Solution: Short Answer Questions 13) Subtract: a) 2148 from 3569 b) 1487 from 3999 Solution: 14) Subtract: a) 4635 from 7676 b) 2710 from 8942 Solution: Subtraction 35 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 39 1/25/2018 10:50:29 AM
Long Answer Questions b) 4461 – 3569 15) Solve the following. a) 631 – 444 Solution: 16) Solve the following. b) 6584 – 4485 a) 840 – 522 Solution: 36 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 40
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: 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? Solution: 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? Subtraction 37 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 41 1/25/2018 10:50:29 AM
Solution: 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: Higher Order Thinking Skills (H.O.T.S.) 1/25/2018 10:50:29 AM Short Answer Question 21) Frame a word problem using 842 – 422 = 420. Solution: 38 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 42
Long Answer Question 22) Frame word problems for the following. a) 184 – 127 b) 1246 – 1230 Solution: Concept 5.2: Estimate the Difference between Two Numbers Recall [] [] Multiple Choice Questions [] 1) Rounding off 42 to the nearest 10s, we get ____________. (A) 50 (B) 40 (C) 45 (D) 55 2) Rounding off 91 to the nearest 10s, we get ____________. (A) 100 (B) 90 (C) 95 (D) 99 3) Rounding off 60 to the nearest 10s, we get ____________. (A) 50 (B) 40 (C) 60 (D) 65 Subtraction 39 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 43 1/25/2018 10:50:29 AM
& 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 ________. 8) The estimated difference between 65 and 45 is ________. 9) The estimated difference between 92 and 43 is ________. Very Short Answer Questions 10) Estimate the difference between 64 and 37. Solution: 11) Estimate the difference between 37 and 31. Solution: 12) Estimate the difference between 92 and 77. Solution: Short Answer Questions 13) Estimate the difference between 527 and 236. Solution: 40 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 44
14) Estimate the difference between 458 and 274. Solution: Long Answer Questions 15) Estimate the difference between the following numbers. a) 707 and 263 b) 549 and 296 Solution: 16) Estimate the difference between the following numbers. a) 870 and 648 b) 743 and 378 Solution: Subtraction 41 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 45 1/25/2018 10:50:29 AM
Application Short Answer Questions 17) R amu has 56 green balloons. He gave 25 balloons to Sandy. Estimate how many balloons were left with Ramu. Solution: 18) Mumbai has 83 bridges and Delhi has 68 bridges. Estimate how many more bridges are there in Mumbai than in Delhi. Solution: Long Answer Questions 19) In a team of 589 students, 376 are from the red group. About how many students are there from the blue group? Solution: 42 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 46
20) Simran has 276 balloons. Ammu has 237 balloons. About how many balloons does Simran have more than Ammu? Solution: 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 there in Division C? Solution: 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: Subtraction 43 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 47 1/25/2018 10:50:29 AM
Concept 5.3: Subtract 2-digit Numbers Mentally [] [] Recall [] Multiple Choice Questions 1) The difference when 6 is subtracted from 8 is ________. (A) 3 (B) 5 (C) 2 (D) 14 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 ________. [] (A) 1 (B) 2 (C) 3 (D) 4 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 ________. (D) 20 (A) 10 (B) 30 (C) 40 Fill in the Blanks 7) While subtracting mentally, we first subtract the digits in the ___________ place. 8) The difference between 22 and 11 is _______. 9) The difference between 40 and 30 is _______. 44 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 48
Very Short Answer Questions 10) Subtract 12 from 22 mentally. Solution: 11) Subtract 42 from 62 mentally. Solution: 12) Subtract 50 from 60 mentally. Solution: Short Answer Questions 13) Solve mentally: a) 43 – 32 b) 87 – 57 Solution: 14) Solve mentally: a) 57 – 12 b) 78 – 51 Solution: Long Answer Questions c) 54 – 22 d) 82 – 21 15) Solve the following mentally. a) 73 – 51 b) 77 – 66 Solution: 16) Subtract the following mentally. c) 77 – 36 d) 68 – 46 a) 96 – 64 b) 85 – 23 Solution: Subtraction 45 NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 49 1/25/2018 10:50:29 AM
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: 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: 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: 20) A rope is 95 cm long. Another rope is 38 cm smaller than it. How longer is the second rope than the first rope? Solve mentally. Solution: 46 1/25/2018 10:50:29 AM NR_BGM_181010024-Alpine-G3-Workbook-Maths-Part1_Text.pdf 50
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