# Maths Answers - Hamilton Trust

```Maths Answers
Autumn Year 3
Week 1:
Writing amounts using &pound; and p
&pound;2.50
&pound;2.05
&pound;6.07
&pound;3.55
&pound;4.40
&pound;6.20
&pound;7.35
&pound;6.02
Writing and comparing amounts of money
&pound;2.35
&pound;2.45
&pound;4.45
&pound;4.05
&pound;9.99
&pound;8.99
&pound;8.06
&pound;8.60
&pound;3.75
&pound;3.70
&pound;6.08
&pound;6.80
&pound;1.10
&pound;1.01
&pound;2.11
&pound;2.12
Week 2:
Part A
21 + 9 = 30
45 + 5 = 50
73 + 7 = 80
&copy; Hamilton Trust
83 + 3 = 86
21 + 7 = 28
47 + 2 = 49
Part B
39 + 5 = 44
28 + 4 = 32
36 + 6 = 42
12 + 9 = 21
46 + 8 = 54
87 + 4 = 91
14 + 6 = 20
68 + 2 = 70
33 + 5 = 38
25 + 3 = 28
62 + 4 = 66
13 + 6 = 19
114 + 6 = 120
123 + 5 = 128
154 + 3 = 157
194 + 5 = 199
45 + 7 = 52
78 + 8 = 86
33 + 9 = 42
27 + 5 = 32
18 + 6 = 24
34 + 8 = 42
128 + 4 = 132
144 + 6 = 150
119 + 6 = 125
175 + 6 = 181
54 + 7 = 61
55 + 7 = 62
56 + 7 = 63
57 + 7 = 64
58 + 7 = 65
58 + 7 = 66
Subtracting 1-digit from 2-digit numbers
Part A
88 - 8 = 80
75 - 5 = 70
62 - 2 = 60
78 - 5 = 73
45 - 2 = 43
48 - 6 = 42
69 - 6 = 63
76 - 4 = 72
Part B
55 - 3 = 52
39 - 5 = 34
15 - 4 = 11
46 - 5 = 41
117 - 5 = 112
146 - 4 = 142
187 - 3 = 184
135 - 2 = 133
21 - 9 = 12
45 - 6 = 39
73 - 7 = 66
14 - 6 = 8
61 - 2 = 59
33 - 5 = 28
25 - 8 = 17
62 - 4 = 58
83 - 7 = 76
21 - 7 = 14
42 - 7 = 35
13 - 6 = 7
142 - 6 = 136
161 - 4 = 157
115 - 8 = 107
133 - 5 = 128
Splitting the 7 to subtract
41 - 7 = 34
42 - 7 = 35
43 - 7 = 36
44 - 7 = 37
45 - 7 = 38
46 - 7 = 39
Week 3:
Adding pairs of 2-digit numbers (E)
14 + 34 = 48
24 + 34 = 58
32 + 34 = 66
41 + 34 = 75
53 + 34 = 87
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14 + 21 = 35
24 + 21 = 45
32 + 21 = 53
41 + 21 = 62
53 + 21 = 74
14 + 32 = 46
24 + 32 = 56
32 + 32 = 64
41 + 32 = 73
53 + 32 = 85
14 + 23 = 37
24 + 23 = 47
32 + 23 = 55
41 + 23 = 64
53 + 23 = 76
14 + 12 = 26
24 + 12 = 36
32 + 12 = 44
41 + 12 = 53
53 + 12 = 65
Adding pairs of 2-digit numbers (M)
14 + 23 = 37
24 + 23 = 47
32 + 23 = 55
41 + 23 = 64
43 + 23 = 66
14 + 39 = 53
24 + 39 = 63
32 + 39 = 71
41 + 39 = 80
43 + 39 = 82
14 + 32 = 46
24 + 32 = 56
32 + 32 = 64
41 + 32 = 73
43 + 32 = 75
14 + 48 = 62
24 + 48 = 72
32 + 48 = 80
41 + 48 = 89
43 + 48 = 91
14 + 12 = 26
24 + 12 = 36
32 + 12 = 44
41 + 12 = 53
43 + 12 = 55
Adding pairs of 2-digit numbers (H)
14 + 63 = 77
54 + 63 = 117
36 + 63 = 99
81 + 63 = 144
49 + 63 = 112
14 + 89 = 103
54 + 89 = 143
36 + 89 = 125
81 + 89 = 170
49 + 89 = 138
14 + 32 = 46
54 + 32 = 86
36 + 32 = 68
81 + 32 = 113
49 + 32 = 81
14 + 78 = 92
54 + 78 = 132
36 + 78 = 114
81 + 78 = 159
49 + 78 = 127
14 + 67 = 81
54 + 67 = 121
36 + 67 = 103
81 + 67 = 148
49 + 67 = 116
Subtraction number bonds to 10
10 – 3 = 7
10 – 6 = 4
10 – 5 = 5
10 – 2 = 8
10 – 4 = 6
10 – 1 = 9
10 – 7 = 3
10 – 9 = 1
10 – 0 = 10
10 – 5 = 5
10 – 8 = 2
10 – 6 = 4
10 – 9 = 1
10 – 3 = 7
10 – 1 = 9
10 – 10 = 0
Whole Class Practice
Part A
30 – 18 = 12
80 – 66 = 14
40 – 23 = 17
90 – 75 = 15
60 – 43 = 17
70 – 54 = 16
72 – 60 = 12
34 – 20 = 14
85 – 70 = 15
53 – 40 = 13
39 – 20 = 19
25 – 10 = 15
Part B
67 – 45 = 22
83 – 65 = 18
94 – 78 = 16
33 – 14 = 19
65 – 46 = 19
44 – 27 = 17
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91 – 76 = 15
45 – 29 = 16
84 – 67 = 17
32 – 15 = 17
78 – 54 = 24
42 – 24 = 18
Part C
88 – 45 = 43
65 – 32 = 33
77 – 46 = 31
86 – 54 = 32
44 – 12 = 32
68 – 37 = 31
How much change?
&pound;1 – 78p = 22p
&pound;1 – 34p = 66p
&pound;1 – 55p = 45p
&pound;1 – 63p = 37p
&pound;1 – 26p = 74p
How much change?
&pound;1 – 34p = 66p
&pound;1 – 68p = 32p
&pound;1 – 17p = 83p
&pound;1 – 72p = 28p
&pound;1 – 59p = 41p
&pound;1 – 65p = 35p
&pound;1 – 26p = 74p
&pound;1 – 44p = 56p
&pound;1 – 81p = 19p
&pound;1 – 86p = 14p
Week 4:
Pentagons, hexagons and octagons
Pentagon, Hexagon, Hexagon, Hexagon
Octagon, Octagon, Pentagon, Octagon
Odd one out
Bottom left; the others are regular polygons
Top left; the others all have at least one right angle (Also top right; the only shape
with both curved and straight sides)
Top left; the others all have at least one straight side
Bottom right; the others are all octagons (Also top right; the only regular polygon)
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Describing 3D shapes
Name: Cylinder
Faces: 3
Name: Sphere
Faces: 1
Name: Cone
Faces: 2
Name: Square-based Pyramid
Faces: 5
Name: Cuboid
Faces: 6
Name: Cube
Faces: 4
Name: Octahedron
Faces: 8
Week 5:
Double the following numbers:
Part A
1. 15 x 2 = 30
2. 22 x 2 = 44
3. 34 x 2 = 68
4. 43 x 2 = 86
5. 12 x 2 = 24
6. 41 x 2 = 82
7. 32 x 2 = 64
8. 23 x 2 = 46
9. 14 x 2 = 28
10. 21 x 2 = 42
Part B
1. 18 x 2 = 36
2. 26 x 2 = 52
3. 35 x 2 = 70
4. 48 x 2 = 96
5. 47 x 2 = 94
6. 36 x 2 = 72
7. 27 x 2 = 54
8. 19 x 2 = 38
9. 16 x 2 = 32
10. 38 x 2 = 76
Chocolate bars – half price sale!
24p &divide; 2 = 12p
28p &divide; 2 = 14p
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42p &divide; 2 = 21p
54p &divide; 2 = 27p
48p &divide; 2 = 24p
82p &divide; 2 = 41p
72p &divide; 2 = 36p
94p &divide; 2 = 47p
38p &divide; 2 = 19p
74p &divide; 2 = 37p
66p &divide; 2 = 33p
56p &divide; 2 = 28p
Halving even numbers (MH)
30 &divide; 2 = 15
32 &divide; 2 = 16
34 &divide; 2 = 17
36 &divide; 2 = 18
38 &divide; 2 = 19
40 &divide; 2 = 20
42 &divide; 2 = 21
44 &divide; 2 = 22
46 &divide; 2 = 23
48 &divide; 2 = 24
50 &divide; 2 = 25
Halving even numbers (E)
10 &divide; 2 = 5
12 &divide; 2 = 6
14 &divide; 2 = 7
16 &divide; 2 = 8
18 &divide; 2 = 9
20 &divide; 2 = 10
22 &divide; 2 = 11
24 &divide; 2 = 12
26 &divide; 2 = 13
28 &divide; 2 = 14
30 &divide; 2 = 15
Week 6:
300 + 70 + 6 = 376
400 + 90 + 3 = 493
700 + 5 = 705
500 + 30 = 530
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200 + 30 + 4 = 234
400 + 10 + 7 = 417
200 + 40 + 3 = 243
200 + 70 = 270
600 + 32 = 632
804 + 50 = 854
909 + 90 = 999
400 + 8 = 408
500 + 10 + 3 = 513
700 + 30 + 4 = 734
Place Vale &amp; Money Addition and Subtraction
&pound;2 + 45p = &pound;2.45
&pound;3 + 20p = &pound;3.20
&pound;5 + 55p = &pound;5.55
&pound;3.20 – 20p = &pound;3
&pound;2.45 – 45p = &pound;2
&pound;5.55 – 55p = &pound;5
&pound;1.70 + 5p = &pound;1.75
&pound;9.90 + 9p = &pound;9.99
&pound;5.25 – 5p = &pound;5.20
&pound;7.99 - &pound;7 = 99p
&pound;6.45 – 5p = &pound;6.40
&pound;5 + 9p = &pound;5.09
Place Value &amp; Money Addition and Subtraction Word Problems
&pound;2 + 50p + 5p = &pound;2.55
&pound;3 + 60p + 7p = &pound;3.67
80p + 6p + &pound;2 = &pound;2.86
2p + &pound;5 + 20p = &pound;5.22
&pound;6.72 – 2p = &pound;6.70
&pound;5.58 – 50p = &pound;5.08
&pound;9.68 – 60p = &pound;9.08
&pound;7.49 – 9p = &pound;7.40
&pound;5.25 – 20p = &pound;5.05
&pound;9.82 – 80p = &pound;9.02
&pound;3.49 – 9p = &pound;3.40
&pound;3.67 - &pound;3.07 = 60p so Liam should put the drink back
457 + 1 = 458
239 + 10 = 249
562 + 100 = 662
429 + 10 = 439
863 + 100 = 963
299 + 1 = 300
Week 7:
300 + 234 = 534
300 + 351 = 651
300 + 465 = 765
300 + 516 = 816
300 + 646 = 946
300 + 254 = 554
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2 + 234 = 236
2 + 351 = 353
2 + 465 = 467
2 + 516 = 518
2 + 646 = 648
2 + 254 = 256
3 + 234 = 237
3 + 351 = 354
3 + 465 = 468
3 + 516 = 519
3 + 646 = 649
3 + 254 = 257
200 + 234 = 434
200 + 351 = 551
200 + 465 = 665
200 + 516 = 716
200 + 646 = 846
200 + 254 = 454
20 + 234 = 254
20 + 351 = 371
20 + 465 = 485
20 + 516 = 536
20 + 646 = 666
20 + 254 = 274
30 + 234 = 264
30 + 351 = 381
30 + 465 = 495
30 + 516 = 546
30 + 646 = 676
30 + 254 = 284
300 + 234 = 534
300 + 351 = 651
300 + 465 = 765
300 + 516 = 816
300 + 646 = 946
300 + 254 = 554
8 + 234 = 242
8 + 351 = 359
8 + 465 = 473
8 + 516 = 524
8 + 646 = 654
8 + 254 = 262
3 + 234 = 237
3 + 351 = 354
3 + 465 = 468
3 + 516 = 519
3 + 646 = 649
3 + 254 = 257
200 + 234 = 434
200 + 351 = 551
200 + 465 = 665
200 + 516 = 716
200 + 646 = 846
200 + 254 = 454
20 + 234 = 254
20 + 351 = 371
20 + 465 = 485
20 + 516 = 536
20 + 646 = 666
20 + 254 = 274
80 + 234 = 314
80 + 351 = 431
80 + 465 = 545
80 + 516 = 596
80 + 646 = 726
80 + 254 = 334
Subtracting 1s, 10s, 100 from 2 and 3-digit numbers A
1. 45 - 2 = 43
2. 45 - 20 = 25
3. 74 - 3 = 71
4. 74 - 30 = 44
5. 56 - 4 = 52
6. 56 - 40 = 16
7. 78 - 6 = 72
8. 78 - 60 = 18
Subtracting 1s, 10s, 100s from 2 and 3-digit numbers B
1. 432 - 1 = 431
2. 432 - 10 = 422
3. 432 - 100 = 332
4. 546 - 2 = 544
5. 546 - 20 = 526
6. 546 - 200 = 346
7. 658 - 4 = 654
8. 658 - 40 = 618
9. 658 - 400 = 258
10. 979 - 6 = 973
11. 979 - 60 = 919
12. 979 - 600 = 379
Subtracting 1s, 10s, 100s from 2 and 3-digit numbers C
1. 84 - 20 = 64 people left on the coach.
2. 76 - 4 = 72 people left on the coach.
3. 367 - 200 = 167 people left on the aeroplane.
4. 453 - 40 = 413 people left on the aeroplane.
5. 569 - 8 = 561 people left on the aeroplane.
6. 625 - 30 = 595 people left on the aeroplane.
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Adding and subtracting multiples of 10
45 + 20 = 65
45 + 21 = 66
45 + 19 = 64
62 - 20 = 42
62 - 21 = 41
62 - 19 = 43
Adding Multiples and Multiples + 1
1. 56 + 20 = 76
56 + 21 = 77
2. 47 + 40 = 87
47 + 41 = 88
3. 61 + 30 = 91
61 + 31 = 92
4. 346 + 20 = 366 346 + 21 = 367
5. 257 + 20 = 277
6. 935 + 30 = 965
7. 726 + 30 = 756
8. 412 + 40 = 452
257 + 21 = 278
935 + 31 = 966
726 + 31 = 757
412 + 41 = 453
Adding Multiples and Multiples + 1, - 1
1. 346 + 20 = 366
2. 257 + 20 = 277
3. 935 + 30 = 965
4. 726 + 30 = 756
5. 412 + 40 = 452
346 + 21 = 367
257 + 21 = 278
935 + 31 = 966
726 + 31 = 757
412 + 41 = 453
346 + 19 = 365
257 + 19 = 276
935 + 29 = 964
726 + 29 = 755
412 + 39 = 451
Subtracting Multiples and Multiples + 1
1. 75 - 20 = 55
75 - 21 = 54
2. 87 - 30 = 57
87 - 31 = 56
3. 94 - 40 = 54
94 - 41 = 53
4. 346 - 20 = 326 346 - 21 = 325
5. 257 - 20 = 237
6. 955 - 30 = 925
7. 786 - 30 = 756
8. 432 - 20 = 412
257 - 21 = 236
955 - 31 = 924
786 - 31 = 755
432 – 21 = 411
Subtracting Multiples and Multiples + 1, - 1
1. 346 - 20 = 326
2. 257 - 20 = 237
3. 935 - 30 = 905
4. 776 - 30 = 746
5. 492 - 40 = 452
346 - 19 = 327
257 - 19 = 238
935 - 29 = 906
776 - 29 = 747
492 - 39 = 453
346 - 21 = 325
257 - 21 = 236
935 - 31 = 904
776 - 31 = 745
492 - 41 = 451
Subtracting Multiples and Multiples + 1, - 1 (MH)
1. 346 - 20 = 326
2. 257 - 20 = 237
3. 935 - 30 = 905
4. 716 - 30 = 686
5. 419 - 40 = 379
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346 - 19 = 327
257 - 19 = 238
935 - 29 = 906
716 - 29 = 687
419 - 39 = 380
346 - 21 = 325
257 - 21 = 236
935 - 31 = 904
776 - 31 = 685
419 - 41 = 378
Week 8:
Subtract by counting up
100 - 95 = 5
100 - 93 = 7
102 - 98 = 4
104 - 95 = 9
105 - 97 = 8
108 - 98 = 10
105 - 90 = 15
110 - 96 = 14
Subtract by counting up
100 - 87 = 13
100 - 81 = 19
112 - 90 = 22
114 - 97 = 17
113 - 95 = 18
115 - 98 = 17
108 - 86 = 22
105 - 81 = 24
103 - 85 = 18
104 - 89 = 15
Subtract by counting up
109 - 74 = 35
105 - 72 = 33
134 - 99 = 35
129 - 96 = 33
123 - 91 = 32
118 - 88 = 30
116 - 82 = 34
113 - 79 = 34
111 - 76 = 35
133 - 97 = 36
128 - 95 = 33
121 - 81 = 40
Change from &pound;1
&pound;1 - 34p = 66p
&pound;1 - 48p = 52p
&pound;1 - 49p = 51p
&pound;1 - 56p = 44p
&pound;1 - 71p = 29p
&pound;1 - 10p = 90p
&pound;1 - 12p = 88p
&pound;1 - 63p = 37p
&pound;1 - 87p = 13p
&pound;1 - 55p = 45p
&pound;1 - 65p = 35p
&pound;1 - 80p = 20p
&pound;1 - 19p = 81p
&pound;1 - 21p = 79p
&pound;1 - 73p = 27p
&pound;1 - 96p = 4p
&pound;1 - 64p = 36p
114 - 87 = 27
114 - 82 = 32
114 - 79 = 35
114 - 72 = 42
114 - 75 = 39
114 - 94 = 20
125 - 87 = 38
125 - 82 = 43
125 - 79 = 46
125 - 72 = 53
125 - 75 = 50
125 - 94 = 31
Change from &pound;1
&pound;1 - 43p = 57p
&pound;1 - 57p = 43p
&pound;1 - 56p = 44p
Choose one number
108 - 87 = 21
108 - 82 = 26
108 - 79 = 29
108 - 72 = 36
108 - 75 = 33
108 - 94 = 14
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118 - 87 = 31
118 - 82 = 36
118 - 79 = 39
118 - 72 = 46
118 - 75 = 43
118 - 94 = 24
112 - 87 = 25
112 - 82 = 30
112 - 79 = 33
112 - 72 = 40
112 - 75 = 37
112 - 94 = 18
123 - 87 = 36
123 - 82 = 41
123 - 79 = 44
123 - 72 = 51
123 - 75 = 48
123 - 94 = 29
Week 9:
&copy; Hamilton Trust
&copy; Hamilton Trust
&copy; Hamilton Trust
Week 10:
Dividing by 3, 4, 5 and 10
11 &divide; 3 = 3 r2
16 &divide; 5 = 3 r1
13 &divide; 5 = 2 r3
12 &divide; 5 = 2 r2
11 &divide; 4 = 2 r3
16 &divide; 4 = 4
14 &divide; 3 = 4 r2
14 &divide; 4 = 3 r2
14 &divide; 5 = 2 r4
21 &divide; 10 = 2 r1
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Dividing by 2, 3, 4, 5 and 10
Section A:
11 &divide; 2 = 5 r1
17 &divide; 2 = 8 r1
13 &divide; 2 = 6 r1
9 &divide; 2 = 4 r1
11 &divide; 5 = 2 r1
17 &divide; 5 = 3 r2
13 &divide; 5 = 2 r3
9 &divide; 5 = 1 r4
11 &divide; 10 = 1 r1
17 &divide; 10 = 1 r7
13 &divide; 10 = 1 r3
9 &divide; 10 = 0 r9
12 &divide; 4 = 3
16 &divide; 4 = 4
15 &divide; 4 = 3 r3
20 &divide; 4 = 5
14 &divide; 4 = 3 r2
12 &divide; 5 = 2 r2
16 &divide; 5 = 3 r1
15 &divide; 5 = 3
20 &divide; 5 = 4
14 &divide; 5 = 2 r4
Section B:
12 &divide; 3 = 4
16 &divide; 3 = 5 r1
15 &divide; 3 = 5
20 &divide; 3 = 6 r2
14 &divide; 3 = 4 r2
Week 11:
Part A
Finding 1/3 and 2/3s
1/3 of 9 = 3
1/3 of 6 = 2
1/3 of 12 = 4
1/3 of 18 = 6
1/3 of 24 = 8
2/3 of 9 = 6
2/3 of 6 = 4
2/3 of 12 = 8
2/3 of 18 = 12
2/3 of 24 = 16
Part B
Use cubes or number facts to help work out 1/3 and 2/3 of these numbers
1/3 of 21 = 7
1/3 of 27 = 9
1/3 of 33 = 11
1/3 of 39 = 13
1/3 of 30 = 10
1/3 of 36 = 12
2/3 of 21 = 14
2/3 of 27 = 18
2/3 of 33 = 22
2/3 of 39 = 26
2/3 of 30 = 20
2/3 of 36 = 24
Part C
Use number facts and place value to help work out 1/3 and 2/3 of these numbers
1/3 of 30 = 10
1/3 of 300 = 100
1/3 of 3000 = 1000
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2/3 of 30 = 20
2/3 of 300 = 200
2/3 of 3000 = 2000