Answers to Scholastic National Curriculum Maths Practice Book for Year 6 Page number Question number Answers 6–7 1a 601 1b 4009 1c 20,603 1d 1,620,491 1e 407,107 1f 26,300 1g 300,000 1h 4900 1i 2,407,583 1j 53,724 1k 80,005 1l 610 1m 80,500 1n 20,630 1o 4090 2a Three thousand and twenty 2b Eight thousand, two hundred 2c Twenty-seven thousand, five hundred and six 2d Seven hundred and eight thousand and ninety 2e Four million, seven hundred and eighty thousand, nine hundred and nine 3a 1275 3b 40,089 3c 269,700 4a 0.3 4b 0.05 4c 0.012 4d 0.8 4e 0.2 4f 0.23 4g 0.2 4h 0.4 The answers are given below. They are referenced by page number and where applicable, question number. The answers usually only include the information the children are expected to give. There may be some places where the answers vary or multiple answers are acceptable, these are marked as such. Page 1 of 28 Maths Year 6 Practice Book Answers
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Answers to Scholastic National Curriculum Maths Practice Book for Year 6
Page number
Question number Answers
6–7 1a 601
1b 4009
1c 20,603
1d 1,620,491
1e 407,107
1f 26,300
1g 300,000
1h 4900
1i 2,407,583
1j 53,724
1k 80,005
1l 610
1m 80,500
1n 20,630
1o 4090
2a Three thousand and twenty
2b Eight thousand, two hundred
2c Twenty-seven thousand, five hundred and six
2d Seven hundred and eight thousand and ninety2e Four million, seven hundred and eighty thousand, nine hundred and nine
3a 1275
3b 40,089
3c 269,700
4a 0.3
4b 0.05
4c 0.012
4d 0.8
4e 0.2
4f 0.23
4g 0.2
4h 0.4
The answers are given below. They are referenced by page number and where applicable, question number.
The answers usually only include the information the children are expected to give.
There may be some places where the answers vary or multiple answers are acceptable, these are marked as such.
4b 85 fruit juices, 62 pots of raisins54 1 Word problems will vary. Answer is 224
2 Word problems will vary. Answer is 3.35
3 Word problems will vary. Answer is £30.3155 1 189
2 1245km
3 5730g
4 11 tanks, £506
Page 12 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
56 1a 253 + 647 900
3 + 7 = 10 so the sum must end in 0
1b 3476 + 1885 5361
added too many carries on to the 100s column
1c 471.3 + 526.4 997.7
has forgotten to add the carried over 100
1d 732 − 329 403
has forgotten that you will have exchanged one 10 into ten 1s to make it 12 – 9 = 3 and leave 2 in the 10s column.
1e 89.52 − 16.68 72.84
due to exchanging, you should do 8 – 6 in the units/ones column = 2 and 80 – 10 = 70 not 60
1f £50.00 − £29.99 £20.01
they have forgotten that they would have to exchange 1 tenth to 10 hundredths in order to subtract 9 from it, meaning that the tenths column is 9 – 9 = 0
57 1a 8
1b 5
1c 7
1d 6
1e 2
1f 558 1 5% of £13 = £0.65 each
2 £52.00 – 35.10 = £16.90
3a £10.50
3b £22.8559 1 £280
2 £168
3 £160
4 £190
Page 13 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
60–61 1a 1, 2
1b 1, 2, 4
1c 1, 2,
1d 1, 2, 3, 4, 6, 12
1e 1, 2, 4
1f 1, 3, 5, 15
1g 1, 2
1h 1, 2, 5, 10
2a 3
2b 10
2c 5
2d 14
2e 4
2f 16
2g 6
2h 20
3a34
3b12
3c13
3d35
3e23
3f35
3g13
3h56
3i13
3j9
10
3k49
3l1920
4a 6
4b 1 19
4c 1 15 or
65
4d 4 15
4e 9 12 or
192
4f 2 35 or
135
4g 4 13 or
133
4h 4 14 or
174
Page 14 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
62 1a12 <
58
1b35 <
23
1c23 <
34
1d45 >
34
1e56 >
79
1f45 >
920
1g7
10 > 9
20
1h78 <
1112
2a16 ,
23 ,
34
2b59 ,
1118 ,
23
2c12 ,
712 ,
56
2d14 ,
512 ,
23
63 36 =
510
14 =
416
34 =
68
25 =
1025
88 =
1010
78 =
3540
616 =
1232
35 =
915
64 1a8
10 + 7
10 = 1510 =
32
1b48 −
38 = =
18
1c5
10 − 3
10 = 2
10 = 15
1d8
10 + 5
10 = 1310
1e7
12 + 9
12 = 1612 or
43
1f58 −
28 =
38
1g7
10 − 6
10 = 1
10
1h8
12 + 9
12 = 1712
1i5
10 + 6
10 = 1110
1j1524 +
1424 =
2924
1k36 −
26 =
16
1l78 −
68 =
18
1m1112 −
312 =
812 or
23
Page 15 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
65 1a 5 38 or
438
1b 5
1c 5 78 or
398
1d 2 14
1e 4 1
20 or 8120
1f 1 38 or
118
1g 8 1324 or
20524
1h 2 18 or
178
1i 4 1320 or
9320
1j 2 9
20 or 4920
1k 8 1118 or
11518
1l 2 2
15 or 3215
66–67 1a2
10 = 15
1b3
48 = 1
16
1c6
36 = 16
1d2080 =
14
1e1272 =
16
1f2060 =
13
1g9
30 = 3
10
1h6
20 = 3
10
1i1020 =
12
1j1510 =
32 or 1
12
1k2828 = 1
1l7744 =
74 or 1
34
1m 3
1n246 = 4
1o92 or 4
12
1p7212 = 6
1q7928 = 2
12
1r6324 = 2
58
1s4520 or
94 or 2
14
1t4210 or 4
210 or 4
15
Page 16 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
68 1a16
1b17
1c1
12
1d1
10
1e1
28
1f1
16
1g5
81
1h18
1i1
16
1j1
18
1k1
14
1l1148
69 Check the matches that children have drawn.1 It should be 2
416 not 3
416 as 3
416 is equivalent to
5216 not
3616
2 1 37 &
107 , 2
17 &
157 ,
3616 , 2
616 &
3816 , 3
410 , 3
59 &
329 , 4
112 &
4912 , 5
29 &
479 ,
5 3
12 & 6312 , 5
45 &
295 , 7
25 &
375
70 1 56 of:
240m = 200m
15kg = 12.5kg
£63 = £52.50
23 of:
1m 23cm = 82cm
£156 = £104
174kg = 116kg
2a £50
2b 75cm
2c 2.5kg
3a £36.50
3b 35cm
3c 650g or 0.65kg71 1a 3
37m
1b 3.43m (to 2 dp)
2a 8 27 , 8.3
2b 17 34 , 17.8
2c 5 38 , 5.4
72 Mrs Bonus
Page 17 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
73 A = 7 (195cm)
B = 4 (196cm)
C = 9 (£10)
D = 6 (£10.20)
E = 3 (£9.90)
F = 10 (187.5cm)
G = 8 (£10.30)
H = 2 (191.25cm)
I = 5 (£9.60)
J = 1 (192.5cm)
74 1
2
3
4
75 1 £345
2 £343.75, Superstore
3 It doesn’t matter – it’s the same price in both.
3f 47104 1 Check children’s chart, for example, 30 × 2 = 64m, 20 × 3 = 46m
Biggest perimeter = 60 × 1 = 122m
2 124m
Page 24 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
105 1 1 = 1
2 = 4
3 = 9
4 = 16
5 = 25
6 = 36
7 = 49
8 = 64
9 = 81
10 = 100
11 = 121
12 = 144
2a 3200cm²
2b 770,000cm² or 7700m²
2c £847
2d 1440 minutes106 1 Room 1 = 36m²
Room 2 = 42m²
Room 3 = 52m²
Room 4 = 52m²
Room 5 = 39m²
Room 6 = 57m²107 1 27cm²
24cm²
27.5cm²
36cm²
2 98cm²
78cm²
88cm²108–109 1a 64cm³
1b 343cm³
1c 216cm³
1d 160cm³
1e 8750mm³
1f 15m³2 120cm³
2cm
2cm
13cm
3 a and b have the same volume = 360cm³
c = 320cm³
d = 280cm³
4 All have the same volume.
Page 25 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
110-111 1a circumference
1b diameter
1c radius
2a Check children’s drawings.
2b Check children’s drawings.
2c Check children’s drawings.
3 The radius is half the diameter.
4a Check children’s drawings.
4b Check children’s drawings.
4c Check children’s drawings.
5 The circumference is roughly 3× the diameter.6
112 1a 30°
1b 72°
1c 94°
1d 22°
1e 109°
1f 127°
2a–c Check children’s measurements – allow 2° margin of error.113 1a Right angle
1b Acute angle
1c Obtuse angle
1d Reflex angle
2a 40°
2b 128°
2c 95°
2d 322°
2e 60°
2f 52°
Page 26 of 28Maths Year 6 Practice Book Answers
sector
arc
semicircle
chord
segment Quadrant
Page number
Question number Answers
114 1a Check children’s drawings.
1b Check children’s drawings.
1c Check children’s drawings.
1d Check children’s drawings.
1e Check children’s drawings.1f A - Parallelogram
B – Irregular pentagon
115 1 Check children’s drawings.
2 Check children’s drawings.
3 The longest side is always opposite the largest angle.
4 They always add up to 180°.116 1 Check children’s drawings.
2 Check children’s drawings.
3 Check children’s drawings.117 1 4
2 23 Tetrahedron, Sphere, Square-based pyramid, Cone, Triangular and
hexagonal prism
4 Cylinder
5 Triangular prism
6 Answers will vary.118 Check children’s drawings.119 1 Answers will vary.
2 Answers will vary.
3 Answers will vary.120 1 Southwick: Won – 10, Drew – 6, Lost – 4
Northport: Won – 14, Drew – 4, Lost - 10
2 No because Northport played more games so half of their pie chart is worth 14 matches. This means they won more than Southwick whose half is only representing 10 matches.
121 1–3 Answers will vary.122 1 Red – Highest : 8000, Lowest: 1500
Blue – Highest: 5000, Lowest: 1500
2 9000
3 5000
4 2004, 2008
5 1992, 2000
6 Red party
7 It has increased year on year.123 1 Check children’s drawings.
2 Answers will vary.
Page 27 of 28Maths Year 6 Practice Book Answers
Page number
Question number Answers
124 1 It cannot be the mean because it is lower than every bar on the chart. The mean is adding up all the totals and dividing by the number of items, so it should be above some of the bars.
2 13
3 Answers will vary.
4 6
5 Answers will vary. For example, 4, 7, 11, 11, 15125 1 Week 1: 26, 26