· Web viewThe remainders are in order from 1 to 9 and all the remainders are one less than the divisor

RSM Year 5 Practice Book Answers

Unit 1 Numbers in real life1a. DistancesQuestion number

Answer Additional information

1 a) 8766b) 5440c) 1123d) 20 267e) 39 041f) 89 327g) 55 645h) 32 045i) 73 829j) 10 320

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RSM Maths Year 5 Answers © Rising Stars UK Ltd 2017


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7 For example: River Nile, Egypt, 6695km, 6700km Table completed, with rivers in order of length, longest first

1b. Converting units of measureQuestion number


1 a) 14.6



b) 146c) 1460d) 14 600e) 847 000f) 84 700g) 8470h) 847

2 a) 10b) 100c) 10d) 100e) 10f) 100g) 10h) 100

3 a) 37 500b) 8300c) 690d) 1680e) 2020f) 415g) 706h) 924

4 a) 57 000b) 6800c) 13 300d) 9470e) 18 220f) 20 990g) 3006h) 4185



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6 a) 240b) 540c) 600d) 210e) 150f) 330

7 a) 660b) 1200c) 390d) 310e) 168f) 445

8 Check times are accurate and intervals are correct1c. Fraction and decimal equivalencesQuestion number


1 a) 6/10b) 1/10c) 7/10d) 25/100e) 38/100f) 85/100

Also accept equivalent fractions

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5 a) 3.002b) 3.102c) 3.2d) 3.12e) 3.02f) 3.012

1d. Reading, writing and ordering decimal numbersQuestion number


1 a) <b) >c) >d) <e) >f) >

2

3 a) 38.2b) 77.4c) 90.3d) 119.3e) 245.8



4 a) 15b) 108c) 273d) 34e) 320f) 860

5 a) 28.5b) 32.1c) 811.7d) 7.9e) 40.4f) 29.2

6 a) 3.9lb) 4.7lc) 4.1ld) 2.9le) 3.2lf) 5.2l

7 a) 4.81b) 3.98c) 5.27d) 4.921e) 5.237f) 5.014

Unit 2 Methods for addition and subtraction2a. Mental calculation strategiesQuestion number


1 a) 7503b) 8504c) 6001d) 8505

Working needs to be shown

2 a) 67b) 40c) 102d) 59e) 254

3 a) 7858kmb) 1892kmc) 6839kmd) 5978kme) 8581km




f) 6447km4 a) 500km

b) 40kmc) 4700kmd) 142kme) 140km


5 a) £76.15b) £50.47c) £37.16d) £95.70

6 a) £13.92b) £60.75c) £42.49d) £33.82

7 a) £17.25b) £152.43c) Dd) Ce) A = £52.42 B = £35.17 C = £39.65 D = £59.87 E = £46.12

2b. Written methods for addition and subtractionQuestion number


1 a) 6071b) 7770c) 9313d) 74 412e) 22 944f) 62 902g) 91 412h) 73 035i) 94 716

2 a) 3826b) 5727c) 3724d) 68 810e) 20 398f) 20 708



f) 38 508h) 5268i) 41 527

3a) £756.75b) £595.73c) £799.01d) £182.52e) £234.82f) £174.43

Working must been shown.

4 a) 2363kmb) £948.47c) 73680ld) 757e) £755.23f) 11 718km

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6 a) 34 484 (17 512 + 16 972)b) 17 704 (9156 + 8548)c) 17 512 and 16 972d) 17 512 and 8548e) 12 334 and 9156

Unit 3 Methods for multiplication and division3a. Exploring multiples, factors, squares and cubesQuestion Answer Additional RSM Maths Year 5 Answers © Rising Stars UK Ltd 2017


number information1

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5 a) 30, 60, 90



b) 20, 40, 60, 80c) 18, 36, 54, 72, 90d) 21, 42, 63, 84

6 a) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48b) 1, 2, 5, 7, 10, 14, 35, 70c) 1, 2, 3,4, 6, 8, 12, 24d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60e) 1, 2, 4, 6, 8, 12, 16, 24, 48, 96

7 For example, 64 and 7293b. Mental calculation strategies for multiplication and divisionQuestion number


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5 a) 6800b) 1700c) 17d) 68e) 134f) 13 400g) 53 600h) 536



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7 Check all the multiplication facts.8 Check all the multiplication fact answers.3c. Written methods for multiplication and divisionQuestion number


1 a) 1468b) 2016c) 7320d) 1377e) 6534f) 3498

2 a) 1468b) 2016c) 7320d) 1377e) 6534f) 3498

3 a) £776b) 1335kmc) 1980mld) 1295g

Working must be shown.



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5 a) 244mb) 123mlc) £36d) 145g

Working must be shown.

6 Check the answers match the digits placed in the multiplication.7 Check the answers match the digits placed in the multiplication.Unit 4 Triangles – and other polygons4a. Regular or irregular?Question number


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2 Six red triangles drawn, including one regular triangle.



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4 Check each shape is a quadrilateral.4b. AnglesQuestion number


1 A = 60°B = 35°C = 85°D = 23°E = 114°F = 48°

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3 a) 42°b) 45°, 45°c) 60°, 60°, 60°d) 37°

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4c. Drawing anglesQuestion number


1 Check angles are drawn accurately.

2 Check triangles are drawn accurately.

3 Check triangles are drawn accurately.

Unit 5 Different types of number5a. Place holders and comparingQuestion number


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2 a) 1750gb) 1175gc) 1025gd) 3200ge) 2075gf) 4950g

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4 a) >b) =c) >d) <e) =f) <

5b. Positive and negative numbers



Question number


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2 a) 3b) -8c) 6d) -11

Number lines used to show each calculation

3 a)b) 18°C

4 a) Floor -1b) Floor 3c) Floor -1d) Floor -5e) Check lift problem questions and answers

5c. Roman numeralsQuestion number


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2

3 a) 21b) 63c) 84d) 199e) 384f) 756

4 a) XXVIIIb) XXIXc) LXXIVd) XCIIe) CLXXXVf) CCCLXX

5 Check each Roman numeral is placed correctly on the chart.Unit 6 Mental and written methods for addition and subtraction6a. Adding 3-digit numbersQuestion number


1 a) 1506b) 4387c) 3033d) 4590e) 9001f) 7529g) 5259h) 9933

2 a) 2316b) 3320c) 6511d) 4616



e) 412f) 3041g) 5469h) 3542

3 a) 9.642kgb) 11.558kgc) 7.85kgd) 7.987kge) 3.19kgf) 9.52kgg) 3.87kg

4 Check the calculations are correct and the methods used.5 a) 9000

b) 5400c) 8192d) 6456e) 3005f) 1999g) 7308h) 5927

6b. Don’t forget to check!Question number


1 a) 3 hours 20 minutesb) 1 hour 41 minutesc) 1 hour 29 minutesd) 4 hours 38 minutese) 2 hours 6 minutesf) 2 hours 52 minutes

Number lines must be used.

2 a) Grey and Minkeb) 35631kgc) Minked) 7608kge) Humpbackf) 30432kg

3 a) 2750b) 2000c) cheese and hamd) 4400 (egg and cheese)e) 450f) 1700 (cheese minus ham)g) tuna



h) 34004

Unit 7 Fractions, decimals and percentages7a. Comparing and ordering fractionsQuestion number


1 a) 1/12b) 1/10c) 1/5d) 1/8e) 1/6f) 1/12

2 Check the fractions belong in each equivalent family.3 a) >

b) <c) =d) <e) <f) >g) <h) =i) <

4 Check the fraction sentences are true.RSM Maths Year 5 Answers © Rising Stars UK Ltd 2017


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6 SOMETIMES true – followed by reasonable explanation.

7b. Improper fractions and mixed numbersQuestion number


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2 Pizzas also coloured accurately.

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6 a) 2 ¼ litresb) 1 2/5 (1.4m)c) ½d) 30

7c. EquivalencesQuestion number


1 a) 4/5b) 3/4c) 7/20d) 2/5e) 1/4



f) 1/4g) 1/2h) 11/25i) 3/5

2 a) 3/5b) 3/10c) 4/5d) 1/2e) 3/4f) 1/25g) 93/100h) 16/50 or 8/25i) 507/1000j) 87/200k) 59/500l) 4/250

3 a) 4.7b) 13.1c) 9.59d) 35.42e) 8.04f) 6.807g) 20.353h) 1.061i) 14.009

4 a) 5 2/5b) 33 1/2c) 8 16/25d) 10 3/4e) 7 1/50f) 14 239/1000g) 9 47/200h) 2 4/250i) 17 3/500



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7d. PercentagesQuestion number


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5 a) 1.45kgb) 0.9kgc) 0.8l



d) 0.36kge) 0.145kgf) 0.16l

6 Check that three different and correct methods are used.Unit 8 Special numbers, operators and scaling8a. Primes, squares and cubesQuestion number


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2

3 Square numbers always have an odd number of factors.4 a) 9

b) 25c) 100d) 16e) 64f) 81f) 4



h) 49i) 121j) 36

5 a) 8b) 1000c) 27d) 64e) 1f) 343g) 216h) 125

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7 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

8b. Using fractions as operators for multiplication and divisionQuestion number


1 a) 1425cmb) 11m 10cmc) 8m 52cmd) 1386cme) 2960cmf) 23m 80cm

2 a) 0.7l



b) 1.8kgc) 1.7md) 1.3le) 1.1kgf) 0.5kg

3 a) 22.4mb) 27.3lc) 9.54kgd) 50.4kme) 11.25lf) 27.3kg

4 a) 160gb) 365c) 13d) 144e) 5.8mf) 70.2mph

5 32 stickers8c. Using scaling for multiplication and divisionQuestion number


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4 a) 2162 m²b) 3534 m²c) 3960 m²d) 2964 m²

5 Check answers and methods for predicting the remainder.Unit 9 2-D and 3-D shapes9a. Reflecting and translating 2-D shapesQuestion number


1 a) c)

b) d)



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3 Check four correctly reflected shapes have been drawn, and coordinates entered in question 4.4

5 a) 1 square right, 2 squares upb) 3 squares left, 2 squares down

6 Check shape and translation9b. Identifying 3-D ShapesQuestion number


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2 a)

b) Faces + vertices -2 = number of edgesCheck other things noticed apply to all the shapes or types of shapes.

3 Check the shapes are accurately drawn.4 a) square-based pyramid

b) cubec) triangular prismd) cuboid

5 Check nets are correctly drawn.9c. AnglesQuestion number


1 a) 40°b) 175°c) 15°d) 83°e) 98°f) 136°

2 a) 330°b) 235°c) 190°d) 306°e) 263°f) 198°



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4 Check the triangles are drawn accurately.5 a) Angle a = 120°

Angle b = 120°Angle c = 120°

b) Angle d = 60 °Angle e = 60°Angle f = 60°

c) All the central angle total 360°.All the angles of the triangle total 180°.The central angles are double the size of the angles of the triangle.

d) Check the number of spokes on each wheel and check the angle sizes are correct.

Unit 10 Negative numbers, fractions and decimals10a. Negative numbers and millionsQuestion number


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2 a)

b) 159°Cc) 600°C

3 a) -7b) -13c) 4d) -3e) 0f) 2g) 3h) 3i) 9j) 6

4 For a to e, check the numbers entered make each sentence true.5 a) -4

b) -8c) 0



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10b. All about fractionsQuestion number


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2

3



4 Check the fraction statement is correct.10c. All about decimal fractionsQuestion number


1 a) 2.475b) 4.219c) 3.661d) 1.832e) 3.347f) 2.156

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3 a) 2/100b) 2c) 2/10



d) 200e) 2/1000f) 20g) 2/100h) 2/1000

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Unit 11 Addition and subtraction using measurement11a. Applying addition and subtractionQuestion number


1 a) 5.75b) 11.65c) 0.13d) 3.7e) 9.12



f) 3.242 a) 25.725

b) 56.287c) 62.444d) 31.819e) 15.506f) 73.99

3 a) 1.66mb) 0.31mc) 0.55md) 2.6m 1.947m

4 a) 906mlb) 742mlc) 875mld) 6017mle) 6118mlf) 3854ml

5 a) 10.33b) 12.53c) 23.58kgd) 22.81kme) 10.58f) 33.11

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Unit 11b. Adding and subtracting fractionsQuestion number


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Unit 12 Exploring fractions, decimals and percentages12a. Exploring fractionsQuestion number


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4 a) <b) <c) =d) <e) >f) <

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6 Check each grid and fraction.12b. Working with decimalsQuestion number


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2 a)

b)

3 a) 3.402b) 0.575c) 11.839d) 0.084e) 6.21f) 0.009g) 25.7h) 3.005

4 a) 2015b) 14 755c) 3500d) 8962e) 7000f) 23019g) 9450h) 6008

5 a) 56.7mb) 4.375kmc) 311.25cmd) 79 928.5kme) 6.8cmf) 17.625cm



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12c. Calculating and converting percentagesQuestion number


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2 a) 75%b) 30%c) 80%d) 90%e) 60%f) 80%g) 95%h) 88%i) 76%

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4 a) £9.50b) £3.50c) £84d) £560e) £27f) £27g) £44.80h) £99.43i) £99.79

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Unit 13 Factors, scaling and long multiplication and division



13a. All about factorsQuestion number


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6 Her grandparents see her in a competition every 12 weeks. With reasonable explanation.

7 ALWAYS With reasonable explanation.

13b. Mental calculation and scalingQuestion number


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2 a) 948b) 870c) 8760d) 1728e) 63 750f) 62 900

Working to be included.

3 a) 64b) 148c) 46d) 202e) 214f) 635



4 a) £1200b) £3500c) £1200d) £450e) £720f) £2000

5 a) 39b) £760c) 411d) 224ge) 8.1km

13c. 4-digit and long multiplicationQuestion number


1 a) 672b) 1080c) 2025d) 1764e) 4096f) 3024

2 a) 2304b) 3800c) 6273d) 4180e) 22 288f) 24 648

3 a) 8322b) 9620c) 31 424d) 21 588e) 51 678f) 56 768

4 a) 1512, 1512b) 1008, 1008c) The answers are the same. Check calculations

5 a) 9082b) 10 780c) 28 332d) 37 100e) 141 236f) 228 510

6 a) 9082



b) 10 780c) 28 332d) 37 100e) 141 236f) 228 510

7 a) 341 523b) 31 928c) 54 756

13d. Division with remaindersQuestion number


1 a) 1/5b) 1/3c) 3/4d) 2/3

2

3 a) 222.5b) 142.8c) 174.6d) 277.2e) 1051.25f) 464.75

4 a) 94b) 18c) 41d) 10

5 a) 1259 r1b) 839 r2c) 629 r3d) 503 r4e) 419 r5f) 359 r6g) 314 r7h) 279 r8i) 251 r9

The remainders are in order from 1 to 9 and all the remainders are one less than the divisor.



Unit 14 Perimeter, area and volume14a. Finding perimetersQuestion number


1 a) 30cmb) 42cmc) 70cmd) 62cm

2 a) 26cmb) 26cmc) 34cmd) 21cme) 35cmf) 25cm

3 a) 7cmb) 10cmc) 12cmd) 4cme) 6cmf) 7.5cm

4 Check four shapes have been drawn with correct lengths and areas labelled.

14b. Areas and perimetersQuestion number


1 a) perimeter = 28cm, area = 29cm²b) perimeter = 30cm, area = 26cm²c) perimeter = 28cm, area = 33cm²d) perimeter = 34cm, area = 29cm²

2

a) b) perimeter = 2 x (a+b)area = a x b

3 a) 6cmb) 24cm²c) 36cmd) 144cm²



e) 44cm4 SOMETIMES – with reasonable explanation5 Check that each shape has an area of 15cm²6 a) perimeter = 14cm, area = 12cm²

b) perimeter = 28cm, area = 48cm²c) 2d) 4

14c. Volume and capacityQuestion number


1 a) A = 12cm³, B = 14cm³, C = 11cm³, D = 13cm³b) C and D

2 a) 6, 4, 24cm³b) 15, 5, 75cm³c) 16, 4, 64cm³d) 7, 5, 35cm³e) 24, 5, 120cm³

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4) The volume of the container is 125cm³The volume of the box is 7500cm³


Documents

· Web viewThe remainders are in order from 1 to 9 and all the remainders are one less than the divisor