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9789387653795_Alpine-G2 Workbook-Maths-Part1

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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  S tudent 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  W ord 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 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___2 / 32 23-01-2018 19:29:02

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 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___3 / 32 23-01-2018 19:29:03

1 Shapes 1 1.1 Identify the Geometrical Features of Objects  4 2 Patterns 9 12 2.1 Patterns Using Shapes  15 3 Numbers 19 3.1 Count by Hundreds  23 3.2 Ordinal Numbers  26 3.3 Compare 3-digit Numbers  4 Addition 4.1 Add 2-digit and 3-digit Numbers  5 Subtraction 5.1 Subtract 2-digit and 3-digit Numbers  5.2 Subtract Two 1-digit Numbers Mentally  51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___4 / 32 02-02-2018 11:19:59

Chapter 1 Shapes Concept 1.1: Identify the Geometrical Features of Objects Recall Multiple Choice Questions [ ] 1) This shape is a ____________. (D) square ] ] (A) rectangle (B) circle (C) triangle [ (D) circle 2) This shape is a ____________. [ (A) rectangle (B) triangle (C) square (D) circle 3) This shape is a ____________.  (A) rectangle (B) triangle (C) square & Remembering and Understanding Multiple Choice Questions 4) A point is a ________________. [] (A) dot (B) line (C) curved line (D) straight line 5) A line has ______________ end points. [] (A) three (B) one (C) two (D) no 6) A ray is a part of a _________________. [] (A) curved line (B) line segment (C) straight line (D) point 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___5 / 32 1 23-01-2018 19:29:03

Fill in the Blanks 7) Sleeping lines drawn from left to right or from right to left are called _______________________. 8) A straight line or a curved line is a __________________ figure. 9) A ________ has a starting point but no end point. Very Short Answer Questions 10) Is a line segment a part of a line? Solution: 11) Which figure can be extended only on one side? Solution: 12) Does a line have a breadth? Solution: Short Answer Questions 13) How many types of straight lines are there? Name them. Solution: 14) State whether the following figures are open or closed. a) b) Solution: 23-01-2018 19:29:04 Application Very Short Answer Question 15) How many equal sides does a square have? Solution: 2 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___6 / 32

Short Answer Questions 16) Identify the shape which has: a) no sides and no corners. b) three sides and three corners. Solution: 17) Observe the following shapes and tick the type of lines used to form them: S. No. Shape Straight lines Curved lines a) b) Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Draw the base of each of the following objects. Name the shapes formed. Object Base Name of the shape a) b) Shapes 3 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___7 / 32 23-01-2018 19:29:04

Chapter 2 Patterns Concept 2.1: Patterns Using Shapes Recall Multiple Choice Questions 1) This shape is a __________. [] (A) rectangle (B) cube (C) circle (D) oval 2) This shape is a __________. [] (A) cylinder (B) cone (C) cube (D) rectangle 3) This shape is a __________. [] (A) cone (B) cuboid (C) cube (D) sphere 4 23-01-2018 19:29:05 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___8 / 32

& Remembering and Understanding Multiple Choice Questions will be _______. 4) The next two shapes after [ ] (A) (B) (C) (D) 5) The next two shapes after will be _______. [ ] (A) (B) (C) (D) 6) The next two shapes after will be _______. [ ] (A) (B) (C) (D) Fill in the Blanks Complete the pattern for questions from 7 to 9. 7) Patterns 5 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___9 / 32 23-01-2018 19:29:05

8) 9) Very Short Answer Questions 10) What are the repeated parts of patterns called? Solution: 11) Can we arrange different colours of the same shape to get a pattern? Solution: 12) Can we pick a basic shape from a pattern? Solution: Short Answer Questions 13) Draw and colour the next two shapes in the given pattern. Solution: 14) Find, draw and colour the basic shapes in the given pattern? Solution: 6 23-01-2018 19:29:05 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___10 / 32

Application Very Short Answer Question 15) What is the basic shape in the given pattern? Solution: Short Answer Questions 16) Draw the basic shapes in the following patterns. a) b) Solution: Patterns 7 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___11 / 32 23-01-2018 19:29:05

17) Complete the following patterns. a) b) Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Complete the following patterns. a) 2A 4C 6E b) 15 13 11 8 23-01-2018 19:29:05 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___12 / 32

Chapter 3 Numbers Concept 3.1: Count by Hundreds Recall Multiple Choice Questions [ ] 1) The smallest 2-digit number is ___________. [ ] (A) 11 (B) 10 (C) 99 (D) 21 [ ] 2) The largest 2-digit number is __________. (A) 01 (B) 10 (C) 90 (D) 99 3) The number name of 19 is __________. (A) nineteen (B) eighteen (C) nine (D) ninteen & Remembering and Understanding Multiple Choice Questions 4) 10 tens = _______ hundred [] (A) 10 (B) 1 (C) 0 (D) 100 5) The place value of 4 in 243 is ____________. [] (A) three (B) four (C) forty (D) thirty 6) 50 tens = _____________ hundreds [] (A) 50 (B) 5 (C) 500 (D) 1 Fill in the Blanks 7) The number name of 346 is three hundred ____________________________. 8) 706 = 700 + ______________ + 6. 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___13 / 32 9 23-01-2018 19:29:06

9) The expanded form of the number 626 is _______________ + 20 + 6. Very Short Answer Questions 10) What is the place value of the digit 9 in the number 269? Solution: 11) Write the number name of the number shown by the following blocks. Solution: 12) Write the expanded form of 673? Solution: Short Answer Questions 13) Write the expanded form of the number shown by the following blocks. Also, write its number name. Solution: b) 698 14) Write the number names of: a) 425 Solution: 10 23-01-2018 19:29:07 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___14 / 32

Application Very Short Answer Question 15) Write the number which has 1 in the tens place, 2 in the hundreds place and 0 in the ones place. Solution: Short Answer Questions 16) In a test, Sohan got four hundred and twenty-five marks, Reema got two hundred and fifty-six marks. Isha got nine hundred and seventy-eight marks. Write their marks in numerals. Solution: 17) Ram has 1 note of ` 100 and 1 note of ` 10. How much money does he have in all? Write the amount in words. Solution: Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Show the sum of 3 tens and 1 ten on an abacus. Which spikes will be empty? Solution: Numbers 11 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___15 / 32 23-01-2018 19:29:07

TO Concept 3.2: Ordinal Numbers Recall Multiple Choice Questions Look at the given colours and answers the questions from 1 to 3. Blue Yellow Red Green 1) The ________ rectangle is before the red rectangle. [] (A) black (B) blue (C) yellow (D) green [] 2) The ________ rectangle is after the yellow rectangle. [] (A) blue (B) green (C) yellow (D) red 3) The ________ rectangle is before the yellow rectangle. (A) green (B) blue (C) yellow (D) red & Remembering and Understanding Multiple Choice Questions 4) The short form of the ordinal number sixth is _______. [ ] (A) 6th (B) six (C) 6 (D) all of these 12 23-01-2018 19:29:07 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___16 / 32

5) The ordinal number of 9 is ________. [] (A) nine (B) ninth (C) 9 (D) all of these 6) The ordinal number of 7 is ___________. [] (A) 7 (B) seven (C) seventh (D) all of these Fill in the Blanks 7) The black star is in the ____________ position. 8) The blue star is in the ___________ position. 9) The white star is in the ____________ position. Very Short Answer Questions 10) What is the short form of the ordinal number ‘eighth’? Solution: 11) What is the ordinal number of 10? Solution: 12) What is the cardinal number of the ordinal number ‘second’? Solution: Short Answer Questions 13) Write the ordinal numbers from one to five. Solution: 14) Write the ordinal number and the short form of each of these numbers. a) 6 b) 9 Solution: Numbers 13 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___17 / 32 23-01-2018 19:29:07

Application Very Short Answer Question 15) Which is the first letter in the word ‘India’? Solution: Short Answer Questions 16) Kannan, Amin and Mithun participated in a gymnastic Amin competition. Kannan Mithun They stood on the positions as given in the picture. a) At which position is Kannan? b) What is Mithun’s position? Solution: 17) The bags of different students are kept in a line. Red bag Yellow bag Green bag Blue bag Orange bag a) What is the colour of the fourth bag from the left? 23-01-2018 19:29:08 b) What is the position of the green bag from the right? Solution: 14 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___18 / 32

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) In a running race, Rohan was behind Sanah. Pooja was in front of Sanah. Jeet was behind Rohan. Who came third in the race? Solution: Concept 3.3: Compare 3-digit Numbers Recall Multiple Choice Questions Compare and choose the proper sign. 1) [] [] (A) > (B) < (C) = (D) || [] (B) < (C) = (D) || 2) 5 ______ 5 (B) < (C) = (D) || (A) > 3) 8 ______ 7 (A) > Numbers 15 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___19 / 32 23-01-2018 19:29:08

& Remembering and Understanding Multiple Choice Questions 4) A 2-digit number is always __________ a 3-digit number. [] (A) less than (B) greater than (C) equal to (D) the same as 5) While comparing two 3-digit numbers, compare the tens when the digits in the _________ place are equal. [] (A) ones (B) tens (C) hundreds (D) all of these 6) While comparing 312 and 323, we compare the tens place because _________. [ ] (A) 1 ten is less than 2 tens (B) 2 ones are less than 3 ones. (C) the digits in the hundreds place of both the numbers are the same. (D) the digits in the ones place of both numbers are different. Fill in the Blanks Compare and choose the correct sign (<, >, =). 7) 524 ___________ 542 8) 9) 353 _______ 228 Very Short Answer Questions 10) Which of the numbers is greater: 565 or 456? Solution: 16 23-01-2018 19:29:09 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___20 / 32

11) Which of the numbers is smaller: 412 or 214? Solution: 12) To compare 237 and 437, the digits in which place have to be considered? Solution: Short Answer Questions 13) Compare: a) 329 and 325 b) 901 and 899 Solution: 14) Find the smaller number in the following pairs of number: a) 576 or 367 b) 892 and186 Solution: Application Very Short Answer Question 15) Write the given numbers in ascending order: 200, 100, 300, 400 Solution: Short Answer Questions 16) Sania has 3 books, Harry Potter, Quidditch and Percy Jackson. The number of pages for each book are given below: Harry Potter: 353 pages; Quidditch: 144 pages; Percy Jackson: 400 pages She wants to start reading a book with the least number of pages. Which book will she start reading with? Numbers 17 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___21 / 32 23-01-2018 19:29:09

Solution: 17) Form the largest and smallest 3-digit numbers using the digits 2, 6 and 4 only once. Solution: Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Form the greatest and the smallest 3-digit numbers using only two digits. You can repeat the digits. Solution: 18 23-01-2018 19:29:09 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___22 / 32

Chapter 4 Addition Concept 4.1: Add 2-digit and 3-digit Numbers Recall Multiple Choice Questions Add and choose the correct number for the sum. 1) is _______. [ ] (A) 31 (B) 27 (C) 28 (D) 7 2) (B) 12 (C) 0 is _______. [ ] (A) 24 (D) 23 3) is _______. [ ] (A) 10 (B) 23 (C) 22 (D) 36 19 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___23 / 32 23-01-2018 19:29:10

& Remembering and Understanding Multiple Choice Questions 4) The sum of 25 and 25 is __________. [] (A) 50 (B) 25 (C) 0 (D) 75 [] 5) Which is the missing digit in: 45 + 48 = ______3? [] (A) 4 (B) 8 (C) 0 (D) 9 6) The sum of 300 and 500 is __________. (A) 500 (B) 280 (C) 520 (D) 800 Fill in the Blanks 7) 22 + 38 = 38 + __________ 8) We regroup the sum if the sum of the digits is equal to or more than _________. 9) While adding two numbers, always start from the _______________ place. Very Short Answer Questions 10) Should we regroup if the sum of the digits is 9? Solution: 11) What is the sum of 78 and 0? Solution: 12) 16 + 13 = 13 + 16 = 29. What property does this addition statement show? Solution: Short Answer Questions 13) Add vertically: a) 28 and 18 b) 14 and 16 TO Solution: TO 28 + +1 8 20 23-01-2018 19:29:10 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___24 / 32

14) Solve using vertical addition. Solution: H TO + Application Very Short Answer Question 15) There are 11 cows on a farm. The owner moves 19 more cows to the farm. How many cows are there on the farm? Solution: TO  + So, there are ____________ cows on the farm. Addition 21 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___25 / 32 23-01-2018 19:29:11

Short Answer Questions 16) T eam A scored 413 runs in the first innings. Team B scored 222 runs. How many runs did they score in all? Solution: H TO  + So, Team A and Team B scored __________ runs in all. 17) A parking lot had 215 cars parked. Another parking lot had 214 cars. How many cars were parked in both the parking lots? Solution: H TO  + So, _________ cars were parked in both the parking lots. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Given 46 + 45 = 91, frame a question. Solution: 22 23-01-2018 19:29:11 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___26 / 32

Chapter 5 Subtraction Concept 5.1: Subtract 2-digit and 3-digit Numbers Recall [] [] Multiple Choice Questions 1) The difference between 45 and 5 is _______. (A) 45 (B) 50 (C) 5 (D) 40 2) is _______. (A) 7 (B) 1 (C) 0 (D) 23 [] 3) The difference between 11 and 11 is _________. (A) 22 (B) 1 (C) 0 (D) 11 [] [] & Remembering and Understanding Multiple Choice Questions 4) While subtracting, we always begin from the ______ place. (A) left (B) hundreds (C) tens (D) ones 5) Write the missing number: 35 – 17 = __8 (A) 2 (B) 3 (C) 0 (D) 1 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___27 / 32 23 23-01-2018 19:29:12

6) Find the missing number in the following: [] H TO 441 –1 1 1 3 3 ––– (A) 1 (B) 2 (C) 3 (D) 0 Fill in the Blanks 7) While subtracting the digits in the ones place, we write its difference in the ___________ place. 8) 1 ten = ______ ones 9) When we subtract 1 from a number, we get the number that is ________ it. Very Short Answer Questions 10) What is zero property of subtraction? Solution: 11) Subtract: 27 – 27 Solution: 12) Subtract: 46 – 1 Solution: Short Answer Questions 13) Subtract: a) 26 from 73 b) 235 from 589 Solution: TO H TO –– 24 23-01-2018 19:29:12 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___28 / 32

14) Solve: a) 46 – 28 b) 382 – 119 H TO Solution: TO –– Application Very Short Answer Question 15) There are 50 cones in a jar. 30 cones were removed. How many cones are left in the jar? Solution: Short Answer Questions 16) There are 420 sticks in one box and 256 sticks in another box. How many fewer sticks does the second box have? Solution: 17) A tailor had 854 dresses to stitch, out of which he stitched 243 dresses. How many dresses remain to be stitched? Solution: Subtraction 25 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___29 / 32 23-01-2018 19:29:12

Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) There were 123 ants in an anthill out of which 112 ants went out in search of food. How many ants were remaining in the anthill? Solution: Concept 5.2: Subtract Two 1-digit Numbers Mentally Recall Multiple Choice Questions [] 1) Write the missing number: ___, 18, 19, 20 [] (A) 16 (B) 15 (C) 21 (D) 17 [] 2) Write the missing number: 33, 34, ____, 36, 37 (A) 30 (B) 32 (C) 35 (D) 39 3) Write the missing number: 55, 56, 57, ____  (A) 58 (B) 59 (C) 62 (D) 57 26 23-01-2018 19:29:13 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___30 / 32

& Remembering and Understanding [] [] Multiple Choice Questions [] 4) The difference between 9 and 2 is _________. (A) 8 (B) 5 (C) 7 (D) 6 5) The difference between 8 and 3 is _________. (A) 5 (B) 8 (C) 3 (D) 2 6) The difference between 7 and 6 is _________. (A) 0 (B) 1 (C) 3 (D) 9 Fill in the Blanks 7) The difference between 3 and 2 is ______. 8) The difference between 5 and 3 is ______. 9) The difference between 3 and 3 is ______. Very Short Answer Questions 10) Solve mentally: 6 – 6 Solution: 11) Solve mentally: 0 – 0 Solution: 12) Solve mentally: 5 – 2 Solution: Short Answer Questions 13) Solve mentally: a) 8 – 8 b) 9 – 7 Solution: 14) Solve mentally: a) 5 – 1 b) 7 – 2 Solution: Subtraction 27 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___31 / 32 23-01-2018 19:29:13

Application Very Short Answer Question 15) Buddha has 6 chocolates. He did not distribute any chocolates among his friends. How many chocolates are left with him? Solution: Short Answer Questions 16) Out of 7 days in a week, Ramya studied for 2 days. For how many days she did not study? Solution: 17) Chanda has 4 jars out of which she filled 1 jar with coins. How many jars are empty? Solution: Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 18) Seema had 2 sticks in one hand and 3 sticks in the other. She gave 4 sticks to Meena. How many sticks are remaining with her? Solution: 28 23-01-2018 19:29:13 51704906_BGM Policy_9789387653795_Alpine-G2 Workbook-Maths-Part1_Text.pdf___32 / 32


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