Cambridge Primary Ready to Go Lessons for Maths Stage 4 Answers to photocopiable pages Unit 1A: Number and problem solving Page 9: 0 to 1000 number lines The learners do the activity as described in the Main activities on page 8, positioning three-digit numbers on the number line. Page 10: True or false cards false true true false true true true true false true false true true false false false true false true true false false false false true false false false false true true true There are six different ways of making a total of 20 by throwing three darts (counting combinations only, not permutations): 8, 7, 5 8, 6, 6 7, 7, 6 Page 16: 0 to 9 number fans The learners do the activity as described in the Starter on page 15, giving answers to additions. Page 18: Template for ten-sided dice The learners do the activity as described in the Main activities on page 17, adding two three-digit numbers. Page 20: 0 to 100 number line Give the number line to the learners who need support to help them find the difference between two two-digit numbers, as explained on page 19. Page 22: Subtraction strategies 2 Methods may be personal choice. 4. 544 Page 24: Multiplying and dividing by 10 1. 3070 2. 1440 3. 2510 4. 1200 5. 318 6. 234 7. 409 8. 756 Mira and Amina should choose option 2, because they will receive more than twice the amount of money (a total of $10.24). Page 14: Dartboard investigation 8, 8, 4 3. 8 Page 26: Doubling puzzle The learners do the activity as described in the Main activities on page 11, positioning four-digit numbers on a number line. 9, 5, 6 2. 117 9. Personal response. Look for the learners making up questions that involve multiplying or dividing by 10. Page 12: Number cards 9, 4, 7 1. 473 Page 28: Multiplication cards 0 14 3 18 0 30 4 16 9 21 15 35 8 18 12 24 20 40 12 20 15 27 25 50 Page 30: Multiplying multiples of 10 Section A 1. 160 2. 150 4. 240 m 5. 140 kg 3. $150 Section B Answers will vary, but should be similar to the questions in Section A. Page 32: Multiplication grids The learners do the activity as described in the Main activities on page 31, multiplying a two-digit number by a single-digit number. Page 34: Division cards 6 10 4 9 7 2 6 10 25 2 5 5 1 Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages 5 3 2 8 4 7 5 7 9 8 4 2 Pages 47–48: Time cards 1 & 2 2 3 6 9 Page 35: Division problems The learners do the activity as described in the Main activities on page 46, sorting the cards into groups that show the same time. The correct groups are shown in rows on photocopiable pages 47 and 48, before they are cut out. 1. 21 2. 15 3. $39.50 4. 18 5. 14 6. 14 1. 7:35p.m. 2. 9:05p.m. 7. 7 8. 8 3. October 2011 4. 36 years from 2014 5. 1989 6. 5 minutes 50 seconds Page 50: Time problems 1 Page 37: Number problems 1. a) > b) > c) < 2. a) 2000 + 600 + 90 c) 700 + 80 + 4 d) > b) 1000 + 200 + 10 + 5 d) 4000 + 20 + 8 3. a) sum: 68; difference: 42 b) sum: 126; difference: 52 c) sum: 95; difference: 39 d) sum: 116; difference: 48 4. 452 5. 112 6. 180 7. 98 km 8. 16 7. Answers will vary, but should be similar to questions 1–6. Page 52: TV schedule problems 1. Lambs’ Tails. 10 minutes. 2. 25 minutes 3. 1 hour 15 minutes 4. 35 minutes 5. Animal Emergency. 15 minutes. 6. 35 minutes 9. 15 7. 1 hour 25 minutes Unit 1B: Measure and problem solving Page 39: Interpreting length scales 8. 2 hours 50 minutes 9. Answers will vary, but should be similar to questions 1–8. Page 54: Measure problems The learners do the activity as described in the Main activities on page 38, estimating dimensions. 1. 1.5 kg Page 41: Which shape is the largest? 3. Months, weeks and days. Shapes A, B, C, D, E, F and H are 9 cm2. Shape G is 10 cm2. Shape G is the largest. 5. Personal response. Page 43: Equivalent mass cards 7. Answers will vary, for example: How long is it between the end of Register and the start of Morning break? 1 hour 30 minutes. 100 g = 101 kg 500 g = 12 kg 200 g = 15 kg 6. 2500 Pages 56–57: Data handling cards 1&2 750 g = 34 kg 1500 g = 1 12 kg 250 g = 14 kg The learners do the activity as described in the Starter on page 55, matching each diagram with its name. The correct pairs are shown on photocopiable pages 56 and 57, before they are cut out. 1000 g = 1kg 2000 g = 2kg Page 45: Reading volumes 2 4. 8:23a.m. Unit 1C: Handling data and problem solving 1250 g = 1 14 kg 1750 ml / 1 litre 750 ml / 1 34 litres / 1.75 litres 250 ml 830 ml 2. Personal response. 650 ml 180 ml Example questions requiring the learners to interpret the data in the diagrams are on page 55. Page 59: Comparing scales 85 ml 350 ml 190 ml 1425 ml / 1 litre 425 ml / 1.425 litres Example questions requiring the learners to interpret the data in the bar charts are on page 58. Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages Page 61: Venn and Carroll diagrams Example questions requiring the learners to interpret the data in the diagrams are on page 60. Page 63: Collecting data The learners do the activity as described in the Main activities on page 62, answering questions by collecting numerical data. Page 65: Bar charts Answers to Questions to ask on page 64: • Yes. They show the same scores for the same weeks. • Bar chart 2. There is a greater difference in the heights of the bars. Page 76: –20 to 20 number lines The learners do the activity as described in the Main activities on page 75, counting on and back through positive and negative numbers. Page 78: Complements to 100 and 1000 Section A 1. 79 2. 16 3. 71 4. 44 5. 67 6. 53 Answers will vary, but should be similar to questions 1–6. Section B 1. 750 2. 600 3. 50 4. 300 5. 650 6. 250 • Week 2 and week 3. Answers will vary, but should be similar to questions 1–6. • 15 points. Page 80: Doubling and halving cards • Week 3 and week 4. • Answers will vary, but should be similar to the questions already asked. Unit 2A: Number and problem solving Page 67: Function machine The learners do the activity as described in the Main activities on page 66, multiplying and dividing by 10. Page 69: Multiples of 10, 100 and 1000 cards The learners do the activity as described in the Main activities on page 68, adding and subtracting multiples of 10, 100 and 1000. Page 71: Number cards The learners do the activity as described in the Main activities on page 70, predicting whether products will be odd or even. Page 73: Positive and negative numbers The learners do the activity as described in the Starter on page 72, placing positive and negative numbers on a number line. Page 74: Some uses of negative numbers Temperatures below 0° C. Floors below ground level (basement). Depth of water below sea level. Weight net of the container. 46 46 300 110 3400 2400 29 38 240 580 1300 8200 94 43 720 180 4600 1200 38 86 160 940 1600 5800 78 32 840 90 7600 800 Page 82: Addition and subtraction cards Card 1 Card 2 94 Card 3 51 Card 4 24 Card 5 44 Card 6 87 Card 7 47 Card 8 35 93 Page 84: Addition and subtraction strategies 2 1. 299 2. 12 3. 294 4. 275 5. 797 6. 6 7. 834 8. 289 Page 86: Number story calculation cards Answers will vary; see page 85 for an example. 3 Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages Page 88: Subtraction wall 465 244 319 263 71 Give the labels to the learners who need support to give them ideas for sorting shapes into a Carroll diagram, as explained on page 101. 803 221 338 75 146 582 Page 101: Pairs of labels 117 Pages 103–04: 3D shape cards 1 & 2 146 192 The learners do the activity as described in the Main activities on page 102, organising shapes into groups with a common property. 46 Pages 90–91: Times table follow-me cards 1 & 2 The learners play the game as described in the Starter on page 89, answering the questions. Page 93: Multiplication grid Pages 106–07: Nets of 3D shapes 1&2 The learners do the activity as described in the Starter on page 105, matching nets to the shapes they make. The learners do the activity as described in the Starter on page 92, looking for patterns in the grid. Page 109: Symmetrical patterns in art Page 95: Round up or round down? The learners do the activity as described in the Main activities on page 108, identifying lines of symmetry. 1. a) 12 r4 b) 13 c) 12 2. a) 11 r2 b) 12 c) 11 Page 111: Rocket to the moon 3. a) 18 r1 b) 18 c) 19 Answers will vary, for example: Right 1, up 6, right 3, up 2, right 2. Page 97: Find the answers 1. –9° C –4° C 2. a) 290 –1° C 0° C 7° C 12° C 23° C 300 b) 4040 4000 c) 530 500 Page 113: How many degrees? Less than 90° a c Greater than 90° but less than 180° d 90° 3. a) 2450 24 500 b k h b) 6710 67 100 f n l c) 3040 30 400 4. a) 59 c) 82.4 5. a) 94 b) 34 d) 73.9 b) 39 c) 720 d) 210 e) 5000 f) 1900 6. 256 7. 11 Unit 2B: Geometry and problem solving Page 99: Polygon matching cards The learners do the activity as described in the Main activities on page 98, matching each picture with its name and list of properties. The correct groups are shown in rows on photocopiable page 99, before they are cut out. 4 g 180° e i p j m o Page 115: Looking at shapes 1. a) octagon b) rhombus c) parallelogram d) kite 2. The third shape is the odd one out because it is not a prism. 3. Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages 4. the same length. The correct groups are shown in rows on photocopiable page 121, before they are cut out. 9 8 Pages 123–24: Ordering areas 1 & 2 7 Order of shapes according to area: 6 C&D 5 Page 126: Time problems 2 1. 4 3 F A 8 1 2. 0 1 2 3 4 5 6 7 8 Unit 2C: Measure and problem solving 3. 7 6 5 The learners do the activity as described in the Starter on page 117, sorting the cards into groups that show the same mass. The correct groups are shown in rows on photocopiable page 117, before they are cut out. 5 3 7 6 5 8 5. 3. 450 ml 3 7 6 5 8 b) 3 6. 14 litres 6. 7. Answers will vary, but should be similar to questions 1–6. Page 121: Equivalent length cards The learners do the activity as described in the Starter on page 121, sorting the cards into groups that show 4 11 12 1 10 2 9 4. 1015 ml / 1 litre 15 ml 4 11 12 1 10 2 1. 1120 ml / 1 litre 120 ml 5. a) 11 6 9 Page 119: Capacity problems 2. 3000 ml / 3 litres 7 4 11 12 1 10 2 8 4. 4 3 9 Page 117: Mass matching cards B 11 12 1 10 2 8 9 G 3 9 0 E 11 12 1 10 2 9 2 H 3 7 6 5 4 11 12 1 10 2 9 8 3 7 6 5 4 7. Answers will vary, but should be similar to questions 1–6. Pages 128–29: How long does it take? cards 1 & 2 Seconds running a sprint race pouring a glass of water writing your name Minutes calling the register travelling to school singing a song dialling a phone getting dressed Hours Days Weeks Months Years watching a having a Ramadan the rainy a child becoming football match cold season an adult reading a decorating the season the football learning book a room for fresh figs season Mathematics taking a flight taking a growing learning to play holiday rice a musical instrument watching a growing an olive film tree from a seed drying dates celebrating a wedding 5 Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages Page 131: Calendar problems 1. Answers will vary depending on the year. In 2014 it is 21 August. 2. 23 June The correct pairs are shown on photocopiable page 135, before they are cut out. Page 137: Converting between dollars and cents 3. April 1. $3.26 4. 25 August 2. a) 270c 5. Answers will vary depending on the year. In 2014 it is 3 March. 3. 1550 6. 26 June 4. a) 117c b) 90c b) $1.17 7. 7 weeks 5. $0.50 54c $0.85 89c $1.87 195c 208c $2.13 8. Answers will vary, but should be similar to questions 1–7. 6. Answers will vary, but should be similar to questions 1–5. Page 133: All sorts of measures 1. a) 900 g 2. b) 0.9 kg Eli Alfie Sámi Jake 130 cm 125 cm 143 cm 150 cm Height in cm Height in m Height in m and cm 1.3 m 1.25 m 1.43 m 1.5 m 1m 30 cm 1m 25 cm 1m 43 cm 1m 50 cm Page 139: Calculations with negative numbers 1. 3 2. –4 3. –3 4. –2 5. 4 6. –7 7. –1 8. –5 9. 2 10. –6 Page 141: Odd and even cards b) hours, minutes and seconds Odd 81 Even 50 c) years 323 812 8575 3354 27 76 499 498 7201 7260 63 22 135 834 2697 6076 19 80 611 910 4703 9402 55 14 387 546 9549 1268 3. a) days / weeks / weeks and days 4. a) 12 m 5. a) b) 48 m 11 12 1 10 2 9 8 b) 3 7 6 5 4 11 12 1 10 2 9 8 c) 3 7 6 5 4 11 12 1 10 2 9 8 3 7 6 5 6. a) 8:25p.m. 4 b) 12:45p.m. c) 6:50a.m. Unit 3A: Number and problem solving Page 135: Multiplying and dividing by 100 cards The learners do the activity as described in the Main activities on page 134, finding pairs of cards 100 times larger or smaller than each other. 6 Page 143: Continuing number sequences 1. a) 3 5 7 9 b) –4 0 4 8 c) –10 –5 0 5 d) –2 –5 –8 –11 e) –2 –12 –22 –32 f) –8 –13 –18 –23 Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages 2. Answers will vary, but should be similar to question 1. Page 158: Subtraction problems 1. 395 km 2. 7 ml Page 145: Fraction match cards 3. 494 4. 13 The learners do the activity as described in the Starter on page 144, sorting the cards into groups that show the same fraction. The correct groups are shown in rows on photocopiable page 145, before they are cut out. 5. 11 6. $8 7. 197 8. 397 Page 146: Fraction chart The learners do the activity as described in the Main activities on page 144, finding equivalent fractions. Page 148: Tenths in fractions and decimals Page 160: Doubling puzzle 1. 200 goes in the central circle. 420 and 340 go across (in either order). 120 and 160 go down (in either order). 2. Answers will vary, but should be similar to question 1. Page 162: Multiplication and division problems 1 10 = 0.1 2 10 = 0.2 3 10 = 0.3 4 10 = 0.4 5 10 = 0.5 6 10 = 0.6 7 10 = 0.7 8 10 = 0.8 9 10 = 0.9 2. –13° C 10 10 =1 3. a) 11, 14, 17 1. 21 2. 180 cm 3. 150 g 4. 102 years old 5. Page 164: Solve the problems 1. 1.28 m b) 258 cm Page 152: Finding fractions of numbers 2. 9 figs 4. 5 litres 5. 4 cupcakes 6. 8 pages 7. 7 kg 8. $5 900 700 500 350 150 c) 2.58 m c) 188, 198, 208 4. a) 101 , 102 , 104 , 105 , 107 , 109 b) 28 , 38 , 48 , 58 , 68 , c) 16 , 15 , 14 , 13 , 5. 1 2 – 0.5 3 4 – 0.75 1 4 – 0.25 1 10 – 0.1 1 5 – 0.2 7 8 1 2 6. 159 Page 154: Multiples of 50 cards 950 750 550 400 200 a) 130 cm b) –1, –3, –5 The learners do the activity as described in the Main activities on page 149, ordering the fractions from smallest to largest. The correct order is shown on photocopiable page 150, before the cards are cut out. 3. 6 children 6. 9 7. 9 Page 150: Fraction cards 1. 7 children 8 m2 850 650 500 300 100 800 600 450 250 50 Page 156: Near multiples of 10 and 100 The learners do the activity as described in the Main activities on page 155, adding three-digit numbers to the numbers on the photocopiable page. Unit 3B: Measure and problem solving Page 166: Time: a.m. and p.m. The learners do the activity as described in the Main activities on page 165, indicating times on the circle. Page 168: Cinema timetable problems 1. Dinosaur Dreams and The Detective Club 2. 1 hour 55 minutes 3. 6:24p.m. 4. No (it will finish at 4:17p.m.) 7 Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages 5. 7:35p.m. c) 6. Answers will vary, but should be similar to questions 1–5. 11 12 1 10 2 9 8 Page 170: Units of time cards 3 7 6 5 4 The learners do the activity as described in the Starter on page 169, ordering the units of time from shortest to longest. The correct order is shown on photocopiable page 170, before the cards are cut out. 2. 700 ml Pages 172–73: Length follow-me cards 1& 2 6. 1650 ml / 1.65 litres / 1 litre 650 ml The learners play the game as described in the Starter on page 171, answering the questions. Page 175: Rectangles A: A = 30 cm2 P = 22 cm B: A = 18 cm2 P = 22 cm C: A = 32 cm2 P = 24 cm D: A = 12 cm2 P = 14 cm E: A = 60 cm2 P = 32 cm F: A = 30 cm2 P = 26 cm G: A = 48 cm2 P = 32 cm Page 177: Maximum loads Answers will vary, depending on the mass of the learners. Page 179: Capacity problems 2 3. a) 40 cm2 4. 2000 cm 5. 6:03p.m. Unit 3C: Handling data and problem solving Page 183: Same data, different diagrams Example questions requiring the learners to interpret the data in the diagrams are on page 182. Page 185: Same data, different scales 80 60 40 20 0 1. 950 ml 2. a) The blue jug b) 26 cm September November January March May July September November January March May July b) 150 ml 3. 2250 ml / 2.25 litres / 2 litres 250 ml 4. 6250 ml / 6.25 litres / 6 litres 250 ml 80 70 5. 97 12 litres 6. Answers will vary, but should be similar to questions 1–5. The answers are: a) 3200 ml / 3.2 litres / 3 litres 200 ml b) 3750 ml / 3.75 litres / 3 litres 750 ml c) 16.5 litres Page 181: Looking at measures 1. a) 11 12 1 10 2 9 8 b) 3 7 6 5 11 12 1 10 2 9 8 8 4 3 7 6 5 4 60 50 40 Page 187: Carroll and Venn diagrams Example questions requiring the learners to interpret the data in the diagrams are on page 186. Page 189: Data diagram cards The learners do the activity as described in the Starter on page 188, sketching diagrams. Page 190: Data handling questions Personal response. Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages Page 192: Looking at data 1. Answers will vary, but should show the data provided. 2. Answers will vary, for example: How many more sunglasses were sold on Monday than Tuesday? How many sunglasses were sold in total during the week? On which day were the fewest sunglasses sold? How many sunglasses were sold on the weekend? 9