Cambridge Primary Ready to Go Lessons for Maths Stage 2 Answers to photocopiable pages Unit 1A: Number and problem solving g) 52 61 62 63 Page 9: Number lines The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 11: Lots of straws The learners do the activity as explained on the photocopiable page. Page 13: Hundred square and 0 to 9 digit cards 72 2. Answers will vary, but should be similar to question 1. Page 16: Space counting The learners do the activity as explained on the photocopiable page. Page 18: Round it! 1. a) 40 c) 10 Page 14: More and less 67 70 100 c) 10 d) 70 33 56 57 58 20 b) 90 13 47 14 2. a) 40 22 23 24 c) 90 e) 90 91 15 16 17 b) 88 d) 60 6 26 50 b) 80 The learners do the activity as explained on page 12 under ‘Main activities’. 1. a) 43 3. e) 90 70 20 77 25 80 30 67 d) Page 20: Ordering 75 84 85 86 e) 95 Page 22: Odd or even 61 The learners do the activity as explained on the photocopiable page. 70 71 72 81 f) The learners do the activities as explained on the photocopiable page. 39 Page 24: Making 20 game The learners do the activity as explained on the photocopiable page. 48 49 50 59 1 9781444177596 RTG Maths 2 answers.indd 1 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 26: Piles of money! 1. Pile 1 1 2 3 4 5 6 7 8 9 4×3 Pile 2 9 8 7 6 5 4 3 2 1 4+4+4 Answer = 12 5×5 5+5+5+5+5 Answer = 25 3×8 2. Pile 1: 1 Pile 2: 9 Or the other way around. Page 28: Place value cards The learners do the activity as explained on page 27 under ‘Main activities’. Page 30: Partition those numbers! 30 + 17 20 + 27 Answer = 24 2. Answers will vary, but should be similar to question 1. Page 40: Hooray arrays! Answers will vary, for example: 47 40 + 7 3+3+3+3+3+3+3+3 2 2×7 10 + 37 Page 32: 2s, 5s and 10s game The learners do the activity as explained on the photocopiable page. 7 Page 34: Adding lots of numbers The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 36: Adding and taking away 14 5×8 The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. 5 8 Page 38: Adding and adding again 1. 40 2×6 4×5 4 2+2+2+2+2+2 Answer = 12 2×8 5 2+2+2+2+2+2+2+2 Answer = 16 20 2 9781444177596 RTG Maths 2 answers.indd 2 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages 3 × 10 Unit 1B: Geometry and problem solving 3 Page 44: Shape information Shape name: cube 10 Drawing of one face: Number of faces: 6 Number of edges: 12 Number of corners: 8 30 7 × 10 What shape is it? square Shape name: cuboid 7 Drawing of one face: Number of faces: 6 Number of edges: 12 Number of corners: 8 10 What shape is it? rectangle / square Shape name: pyramid 70 Number of faces: 5 2 Number of corners: 5 2×8 Drawing of one face: Number of edges: 8 What shape is it? triangle / square Shape name: cylinder 8 Drawing of one face: Number of faces: 3 Number of edges: 2 Number of corners: 0 16 What shape is it? circle / rectangle Page 42: Numbers 1. Ensure numbers are in the correct order and roughly in the correct position on the number line: 25 35 50 60 75 Page 46: Spot the shapes 1. 97 2. Any two from: a) 70 + 6 60 + 16 50 + 26 40 + 36 30 + 46 20 + 56 10 + 66 b) 40 + 5 30 + 15 20 + 25 10 + 35 c) 20 + 8 10 + 18 3. 8, 10, 12, 14, 16, 18, 20 4. 20, 30, 100 5. 0 + 5 1+4 6. $31 2+3 3+2 4+1 5+0 2. 5 3. Answers will vary, but should be similar to question 1. 7. 14 toys 3 9781444177596 RTG Maths 2 answers.indd 3 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 48: Sort them Eight corners Circular faces No circular faces Not eight corners Page 50: 2D shapes All flat faces Not all flat faces The learners do the activity as explained on pages 49 and 51 under ‘Main activities’. Page 52: Symmetrical patterns a) line of symmetry b) c) At least one square face No square faces d) Page 54: Things to do with shape 1. a) Name: cube Number of faces: 6 Number of edges: 12 Number of corners: 8 b) Name: cuboid Number of faces: 6 Number of edges: 12 Number of corners: 8 4 9781444177596 RTG Maths 2 answers.indd 4 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages c) Name: pyramid Number of faces: 5 Number of edges: 8 Page 66: Telling the time 1. a) 11 b) 1 10 Number of corners: 5 Number of edges: 0 c) 11 6 12 d) 1 e) 11 12 Unit 1C: Measure and problem solving Page 56: Lots of coins Answers will vary, for example: 15 cents can be exchanged for three 5c coins; 20 cents can be exchanged for two 10c coins. Page 58: Money problems 1. a) 5c 8 11 8 d) 7:30 12 1 2 9 3 8 4 2. a) 3:00 6 5 10 3 6 4 f) 1 2 7 2 7 9 1 3 5 10 12 9 4 6 6 5 10 3 7 4 11 2 8 line of symmetry 8 7 9 3. 2 3 5 10 1 9 4 7 12 10 3 8 Number of faces: 1 11 2 9 d) Name: sphere Number of corners: 0 b) c) 2. a) 12 4 7 5 b) 11:30 c) 9:00 e) 1:00 f) 5:30 6 5 3. Answers will vary, but should be similar to questions 1 and 2. Page 68: Time vocabulary cards The learners do the activities as explained on page 67 under ‘Main activities’. Page 70: Lots of measuring! b) Answers will vary, for example: 2 × 10c coins and 1 × 5c coin 1. 95c; for example: 9 × 10c coins and 1 × 5c coin c) 20c 2. 5c d) $1.20; answers will vary, for example: 1 × $1 coin and 2 × 10c coins 3. centimetres 2. Answers will vary, but should be similar to question 1. Page 60: Measures vocabulary cards The learners do the activity as explained on page 59 under ‘Main activities’. Page 62: Practical measuring The learners do the activities as explained on the photocopiable page. Page 64: Time investigations The learners do the activities as explained on the photocopiable page. metres kilometres 4. 300 g 5. Freddie 6. Ensure the learners draw a line 10 cm long. 7. 12 11 1 10 2 9 3 8 11:30 4 7 6 5 Unit 2A: Number and problem solving Page 72: Counting dots 4. Groups of 10: 6 60 + 2 = 62 Single circles: 2 5 9781444177596 RTG Maths 2 answers.indd 5 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 74: Twos, fives and tens Page 93: Addition The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 76: Multiples Page 95: Finding the difference 1. Answers will vary, for example: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 2. Answers will vary, for example: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 3. Answers will vary, for example: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 Page 78: Partitioning The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 97: Which way is best? Answers will vary, for example: Counting on: 37 – 21: 21 + 9 + 7 9 + 7 = 16 2. 46: 40 + 6 = 46 37: 30 + 7 = 37 Counting back: 53: 50 + 3 = 53 98: 90 + 8 = 98 48 – 26: 48 – 20 – 6 = 22 75: 70 + 5 = 75 3. 37 46 53 75 98 4. Answers will vary, but should be similar to question 2. Page 80: Greater or less? The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 81: 1 to 50 number cards The learners do the activities as explained on page 79 under ‘Main activities’. Page 99: Ways to add, ways to subtract Answers will vary, for example: Numbers chosen: 26 and 57 Addition: 26 + 57: 26 + 50 + 7 = 76 + 7 = 83 Subtraction: 57 – 26: 57 – 20 – 6 = 31 Page 101: Arrays 1. a) 3 × 5 = 15 5 × 3 = 15 b) 8 × 3 = 24 3 × 8 = 24 Page 83: How many shapes? c) 8 × 2 = 16 2 × 8 = 16 squares: 21 d) 4 × 4 = 16 4 × 4 = 16 e) 7 × 3 = 21 3 × 7 = 21 circles: 23 triangles: 10 Page 85: Sorting numbers Answers will vary, for example: Even numbers: 8, 12, 24, 26 2. Answers will vary, but should be similar to question 1. Page 103: Grouping Odd numbers: 5, 7, 23, 31 Page 87: Doubling game 1. a) How many groups? 3 Number sentence: 15 ÷ 5 = 3 The learners do the activity as explained on the photocopiable page. b) How many groups? 7 Number sentence: 14 ÷ 2 = 7 Page 89: Adding and subtracting c) How many groups? 5 Number sentence: 20 ÷ 4 = 5 The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 91: Ten more, ten less 1. a) 33 b) 67 c) 94 d) 71 2. a) 85 b) 38 c) 6 d) 22 3. a) 37 b) 48 c) 56 d) 74 4. a) 61 b) 14 c) 53 d) 32 5. 72 6. 27 d) How many groups? 8 Number sentence: 24 ÷ 3 = 8 2. Answers will vary, but should be similar to question 1. Page 105: Opposites! 1. Jumps of 2 to 12 and back. 2 × 6 = 12 12 ÷ 2 = 6 2. Jumps of 5 to 25 and back. 5 × 5 = 25 25 ÷ 5 = 5 3. Jumps of 2 to 16 and back. 2 × 8 = 16 16 ÷ 2 = 8 6 9781444177596 RTG Maths 2 answers.indd 6 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 117: Carroll diagrams 4. Jumps of 3 to 12 and back. 3 × 4 = 12 12 ÷ 3 = 4 Answers will vary, for example: 5. Jumps of 10 to 30 and back. 10 × 3 = 30 30 ÷ 10 = 3 Six faces Not six faces 6. Jumps of 4 to 20 and back. 4 × 5 = 20 20 ÷ 4 = 5 Page 107: Remainders Groups Remainder 1 group of 8 1 group of 7, remainder 1 1 group of 6, remainder 2 1 group of 5, remainder 3 2 groups of 4 2 groups of 3, remainder 2 4 groups of 2 8 groups of 1 Page 119: Venn diagram Page 109: More numbers Multiples of 2 1. 58 2. 50 + 4 40 + 14 30 + 24 20 + 34 10 + 44 2 3. 7, 5, 3, 1 4. 25 45 Multiples of 5 60 12 5. 5 8 6. 30 15 10 25 20 35 Unit 2B: Handling data and problem solving Page 111: Favourite vegetables The learners do the activity as explained on the photocopiable page. Page 113: Pictograms Ensure the learners draw a pictogram showing the information in the table, with the correct number of symbols for each hobby. Also ensure they include a title such as ‘Favourite hobbies’ and labels ‘Swimming’, ‘Reading’, ‘Football’, ‘Computer games’, ‘Playing with their pets’ and ‘Tennis’. Page 115: Block graphs Ensure the learners draw a block graph showing the information in the table, with the correct number of blocks for each flavour. Also ensure they include a title such as ‘Favourite juice flavours’, labels on the x axis ‘orange’, ‘banana’, ‘grape’, ‘cherry’ and ‘lemon’ and numbers for each flavour on the y axis. Page 121: Lots of graphs 1. Clothes in Zoe’s cupboard jackets jeans shirts skirts Tally Total IIII II III IIII IIII IIII IIII 7 3 14 4 2. Ensure the learners draw a pictogram showing the information in the table, with the correct number of symbols for each sport. 3. Even numbers Not even numbers 10 17 6 3 26 23 38 31 7 9781444177596 RTG Maths 2 answers.indd 7 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Unit 2C: Measure and problem solving c) 11 12 d) 1 10 11 2 9 Page 123: Money Page 124: Changing money The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. Page 126: How much? 6 2 9 4 7 1 10 3 8 The learners do the activities as explained on page 122 under ‘Main activities’. 12 3 8 5 4 7 6 5 Unit 3A: Number and problem solving Page 140: Groups of three and four Answers will vary, for example: 1. 30 1st pair: car and puppet: $40 2. Ensure the learners draw loops around groups of three dots. 2nd pair: tractor and scooter: $56 3. 10 groups of 3 = 30 3rd pair: scooter and ball: $37 4. 36 4th pair: puppet and ball: $32 5. Ensure the learners draw loops around groups of four dots. Page 128: Measuring lengths 1. a) 5 cm d) 4 cm b) 10 cm e) 8 cm 6. 9 groups of 4 = 36 c) 12 cm 2. Ensure the learners draw lines of the correct length. Page 142: Fractions 1. Page 130: Weighing scales 2. The learners do the activities as explained on page 129 under ‘Main activities’. 3. Page 132: Estimating capacities The learners do the activity as explained on the photocopiable page. Page 134: Time me! The learners do the activity as explained on the photocopiable page. Page 146: What are the fractions? pentagon: The learners do the activity as explained on the photocopiable page. Page 136: Time problems a) 5:30 b) 2 12 hours cross: 1 4 rectangle: rectangle: no equal fractions cross: 1 2 pentagon: no equal fractions hexagon: no equal fractions hexagon: no triangle: no equal fractions equal fractions 1 2 1 4 Page 148: Multiples c) 5:30 1. Tick 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100 d) 12:30 Page 138: More numbers 1. $32 2. $13 3. 3 cm Page 144: Treasure game 2. Cross 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 6 cm 3. Circle 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 4. 75 g 5. a) 11 12 b) 11 1 10 3 8 4 7 6 5 4. Multiples of 10 are also multiples of 2 and 5. 1 10 2 9 12 2 9 3 8 4 7 6 5 Page 150: Greater than or less than? The learners do the activity as explained on the photocopiable page; see the photocopiable page for an example. 8 9781444177596 RTG Maths 2 answers.indd 8 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 152: Adding and taking away 2. Answers will vary, but should be similar to question 1. The learners do the activity as explained on the photocopiable page, for example: 34 Number chosen: 9 Add: 43 Subtract: 25 Page 154: Problems, problems! 1. Latifa bakes 26 biscuits. Fowzia bakes 29. How many do they bake altogether? Ebrahim has 54 football cards. Jassim has 38. How many do they have altogether? Khulood and Maha each have 36 stickers. How many do they have altogether? Sultan scores 35 points in his test. Nasser scores 21 more points. How many points does Nasser score? 55 92 72 56 2. Answers will vary, but should be similar to question 1. Page 156: More problems 1. Page 162: Grouping 1. Harry puts 15 building blocks in towers of five. How many towers does he have? Suzie makes 24 cakes. She puts them in boxes of four. How many boxes does she have? Paulo has 30 toy cars. He puts them in groups of ten. How many groups does he make? Rosie has 50 buttons. She puts them in piles of ten. How many piles does she make? Sofia bakes 45 bread rolls. She wants to put them in baskets. Five go in each basket. How many baskets does she need? 37 10 5 30 5 20 10 60 10 c) 3+4=7 4+3=7 5+2=7 6+1=7 7+0=7 9 70 d) 65 75 60 5 70 5 120 10 140 10 Page 158: Missing numbers 2+5=7 5 35 30 2. Answers will vary, but should be similar to question 1. 1+6=7 b) 15 26 1. 0 + 7 = 7 3 Page 164: Double that number $6 16 6 2. Answers will vary, but should be similar to question 1. 1. a) Sameer has $32. He spends $26 on a toy. How much does he have left? Jameela bakes 50 cakes. She gives 13 to her sister. How many does she have left? Mansoor has 24 stickers. He needs 50 to fill his sticker book. How many more does he need? Hessa has 9 braids. She needs 25 for her hair. How many more does she need? 3 150 130 e) f) 55 85 2. Answers will vary, for example: 10 – 5 = 5 11 – 6 = 5 12 – 7 = 5 13 – 8 = 5 14 – 9 = 5 15 – 10 = 5 16 – 11 = 5 17 – 12 = 5 18 – 13 = 5 19 – 14 = 5 3. a) 8 b) 12 c) 27 d) 18 e) 32 Page 160: Number patterns 1. a) 18 20 22 b) 25 20 15 c) 10 30 50 d) 28 24 20 e) 100 70 60 f) 20 28 32 36 g) 18 27 30 36 h) 28 24 20 16 50 5 80 5 100 10 160 10 f) 56 110 170 2. Answers will vary, but should be similar to question 1. Page 166: All about numbers 70 1. a) 12 2. b) 4 c) 6 40 9 9781444177596 RTG Maths 2 answers.indd 9 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 176: More shape and space 3. a) Any number greater than 23. b) Any number greater than 43. c) Any number less than 10. 4. $45 5. 18 6. 6 1. Answers will vary, for example: 2. Answers will vary, for example: Unit 3B: Geometry and problem solving Page 168: Properties of shapes 3. a) 4 Name: cylinder 4. b) 6 c) 8 circle curved surface edge Name: cone 5. clockwise anticlockwise quarter turn Unit 3C: Measure and problem solving curved surface edge circle Name: cuboid vertex line of symmetry rectangular face Page 178: Ways to pay Answers will vary, for example: 1. 2 × 10c coins 2. 4 × 10c coins and 1 × 5c coin 3. 7 × 10c coins and 1 × 5c coin 4. 8 × 10c coins square face Page 180: Shopping edge Answers will vary, for example: Page 170: Name the shape! a) rectangle b) triangle (regular) c) pentagon (regular) d) square (regular) e) hexagon (regular) f) hexagon g) pentagon h) triangle i) octagon (regular) j) octagon Page 172: Symmetrical patterns The learners do the activity as explained on the photocopiable page. Page 174: Pirates ahoy Up 2 squares Right 6 squares Down 1 square Right 1 square Down 5 squares 5. 10 × 10c coins Windmill and marble run; Total: $21; How much do you have left?: $29 Jack-in-a-box and spinning top; Total: $39; How much do you have left?: $11 Spinning top and garage; Total: $42; How much do you have left?: $8 Page 182: About how long? The learners do the activity as explained on the photocopiable page. Page 184: About how heavy? The learners do the activity as explained on the photocopiable page. Page 186: About how much? The learners do the activity as explained on the photocopiable page. 10 9781444177596 RTG Maths 2 answers.indd 10 1/28/14 7:50 PM Cambridge Primary Ready to Go Lessons for Maths Stage 2: Answers to photocopiable pages Page 188: Time investigation Page 192: More about measures The learners do the activity as explained on the photocopiable page. 1. $4 Page 190: Time problems 3. 850 g Problem Charlie went to play with his friend. He left home at half past six. He stayed with his friend for three hours. When did he go home? Sameera read her book for 1 12 hours. She finished reading at 5:00. When did she begin? Sammy went swimming at half past seven. She swam for 2 12 hours. When did she finish swimming? Yaseen played football with his friends for three hours. He finished playing at 4:30. When did he begin? Jamal went shopping with his family. They left home at 5:30 and got back 2 12 hours later. What time did they get home? Digital time Clock 2. $6 4. metres 5. a) centimetres 11 12 1 10 11 12 9 1 10 8 2 9 3 8 6 b) 11 5 6 12 10 10:30 3 2:00 3 9:30 2 4 7 1 3 1 10 8 12 5:00 5 9 11 3 4 7 9:30 4 7 2 6 5 2 9 3 8 3:30 c) 11 4 7 6 12 1 10 5 2 9 8 11 12 1 10 4 7 6 5 2 9 3 8 10:00 d) 11 6 1 10 4 7 12 5 2 9 8 4 7 11 12 6 5 1 10 2 9 8 3 1:30 3 8:00 4 7 11 6 12 5 1 10 2 9 8 4 7 6 5 11 9781444177596 RTG Maths 2 answers.indd 11 1/28/14 7:50 PM