Maths Answers - Hamilton Trust

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Maths Answers

Autumn Year 4

Week 1

Place value

2000 + 450 = 2450 4520 + 3 = 4523

3000 + 273 = 3273 5100 + 72 = 5172

4000 + 444 = 4444 7704 + 73 = 7777

3270 – 270 = 3000 6523 – 3 = 6520

2452 – 50 = 2402 2726 – 720 = 2006

4444 – 400 = 4044 6453 – 6000 = 453

 Locating four-digit numbers

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10 000

1750 3250 7250

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10 000

2490 4260 6740

0

100

0

1000

1000

2000

2000

3000 4000

3400

3000 4000

5000 6000 7000 8000 9000

5000 6000 7000 8000 9000

9900

10 000

1098

2910

6385

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

10 000

0 1000 2000 3000 4000

2368 3871

Week 2

Round up or round down?

1.

5 chews

2.

6 packs

3.

8 cards

4.

5 cars

5.

6 boxes

6.

6 coins

7.

8 packs

8.

9 tables

Word problems

1. 7 packs

2. 8 packs

3. £7.50 each

4. 7.5cm long

5. 7.5 mini-donuts each

5000 6000 7000 8000 9000

7003

10 000

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Week 3

Regular polygons

Symmetrical patterns

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Week 4

J10 or splits? (possible methods)

J10: Splits:

85 + 31 = 116 57 + 57 = 114

76 + 19 = 95 (add 20 - 1) 65 + 45 = 110

22 + 76 = 98 87 + 24 = 111

29 + 35 = 64 (add 30 – 1) 58 + 24 = 82

54 + 42 = 96

92 + 17 = 109

23 + 86 = 109

62 + 38 = 100

J10 or splits? (possible methods)

143 + 25 = 168 155 + 35 = 190

152 + 44 = 196 135 + 41 = 176

42 + 134 = 176 157 + 41 = 198

197 + 21 = 218 (+ 20 + 1) 137 + 23 = 160

129 + 71 = 180 (+ 70 + 1) 136 + 36 = 172

42 + 184 = 226

117 + 46 = 163

Week 5

 Targeting 100s

304 – 297 = 7

402 – 395 = 7

905 – 896 = 9

504 – 493 = 11

605 – 595 = 10

809 – 792 = 17

903 – 8 = 895

205 - 7 = 198

401 – 6 = 395

503 – 8 = 495

304 – 297 = 7

905 – 896 = 9

605 – 595 = 10

903 – 8 = 895

401 – 6 = 395

710 – 12 = 698

709 – 12 = 697

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

708 – 12 = 696

707 – 12 = 695

706 – 12 = 694

705 - 12 = 693

704 – 12 = 692

703 – 12 = 691

702 – 12 = 690

 Finding a difference

123 – 89 = 34

125 – 78 = 47

115 – 86 = 29

145 – 88 = 57

134 – 69 = 65

125 – 67 = 58

154 – 95 = 59

133 – 75 = 58

142 – 68 = 74

123 – 89 = 34

115 – 86 = 29

134 – 69 = 65

154 – 95 = 59

126 – 82 = 44

137 – 73 = 64

119 – 71 = 48

148 – 83 = 65

126 – 82 = 44

137 – 73 = 64

119 – 71 = 48

148 – 83 = 65

145 – 93 = 52

138 – 82 = 56

129 – 75 = 54

136 – 84 = 52

117 – 54 = 63

 J10 OR T100?

J10: T100:

145 – 31 = 114 135 – 78 = 57

132 – 41 = 91 143 – 65 = 78

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

134 – 92 = 42 124 – 35 = 89

133 – 41 = 92 147 – 89 = 58

127 – 75 = 52 112 – 59 = 53

137 – 62 = 75

116 – 23 = 93

Week 6

 Sequences

2578, 3578, 4578, 5578, 6578, 7578, 8578

9542, 8542, 7542, 6542, 5542, 4542, 3542

3997, 3998, 3999, 4000, 4001, 4002, 4003

7403, 7402, 7401, 7400, 3999, 7398, 7397

3658, 3758, 3858, 3958, 4058, 4158, 4258, 4358

4235, 4135, 4035, 3935, 3835, 3735, 3635

2355, 2365, 2375, 2385, 2395, 2405, 2415

9742, 9732, 9722, 9712, 9702, 9692, 9682

 Sequences

2578, 3578, 4578, 5578, 6578, 7578

3542, 4542, 5542, 6542, 7542, 8542, 9542

3658, 3758, 3858, 3958, 4058, 4158, 4258, 4358

 Sequences

3635, 3735, 3835, 3935, 4035, 4135, 4235

2355, 2365, 2375, 2385, 2395, 2405, 2415

9682, 9692, 9702, 9712, 9722, 9732, 9742

Addition grid

+ 80 55

20

15

100

95

75

70

Addition grid

+

75

21

96

11

86

25 46 36

40

60

55

9

84

34

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

+

19

40

Addition grid

+

75

25

+

19

40

Addition grid

+

75

25

+

19

40

30

49

70

21

96

46

30

49

70

21

96

46

30

49

70

25

44

65

11

86

36

25

44

65

11

86

36

25

44

65

I’m thinking of a number between 1 and 10…

1.

6

2.

4

3.

4

4.

8

5.

9

6.

6

35

54

75

9

84

34

35

54

75

9

84

34

35

54

75

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Week 8

Using number dials to work out division

70 ÷ 5 = 14 48 ÷ 4 = 12

80 ÷ 5 = 16 60 ÷ 4 = 15

39 ÷ 3 = 13 52 ÷ 4 = 13

42 ÷ 3 = 14 48 ÷ 3 = 16

68 ÷ 4 = 17 45 ÷ 3 = 15

85 ÷ 5 = 17 95 ÷ 5 = 19

Week 9

Linking division and fractions

There would be 5 cherries on each piece if it was cut into four equal pieces.

¼ of 20 = 5, ¾ of 20 = 15

There would be 4 cherries on each piece if it was cut into five equal pieces.

1/5 of 20 = 4, 2/5 of 20 = 8, 3/5 of 20 = 12, 4/5 of 20 = 16

24 ÷ 6 = 4, so ¼ of 24 = 6, ¾ of 24 = 18

30 ÷ 3 = 10, so 1/3 of 30 = 10, 2/3 of 30 = 20

30 ÷ 10 = 3, so 1/10 of 30 = 3, 3/10 of 30 = 9, 7/10 of 30 = 21

25 ÷ 5 = 5, so 1/5 of 25 = 5, 2/5 of 25 = 10

Week 10

Reading the time on analogue and digital clicks

1.

5 past 6

2.

8:20

3.

4.

4:15

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

5.

Reading the time on analogue and digital clicks

1.

2.

6:40 20 to 7

12:45

3.

2:55

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

4.

6:27

5.

4:47

Reading the time on analogue and digital clicks

1.

2.

8:20 20 past 8

5 past 6

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

3.

4.

½ past 12

4:15

5.

8:35

Reading the time on analogue and digital clicks H

1.

12:45

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

2.

6:40 20 to 7

3.

4.

2:55

6:27

5.

Time intervals

1.

35 min

2.

45 min

3.

40 min

4.

20 min

5.

30 min

6.

45 min

7.

8 :15pm

8.

7 :10pm

9.

10 :15pm

13 minutes to 5

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Time intervals H

1.

1 hr 10 min

2.

1 hr 25 min

3.

2 hrs 15 min

4.

1 hr 40 min

5.

1 hr 45 min

6.

1 hr 15 min

7.

9:10pm

8.

4:25pm

9.

11:05pm

Pictograms

House Sparrow

Blackbird

Starling

Song thrush

Robin

House Sparrow (15)

Blackbird (12)

Starling (34)

Song thrush (11)

Robin (15)

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Pictograms E

House Sparrow

Blackbird

Starling

Song thrush

Robin

House Sparrow (9)

Blackbird (4)

Starling (13)

Song thrush (5)

Robin (10)

Week 11

Two-step word problems

1.

24 cars

2.

£240

3.

£160

4.

96 cups

5.

Normal week: 5 days x 7 hours = 35 hours per week, new week: 4 days x 9 hours = 36 hours per week.

It would cut down the amount of travel of each employee each week, but would mean they would have to work an extra hour during the week.

6. £120 is cost of new bulbs for 5 years

£120 ÷ 6 = £20 for old bulbs per 6 months

x 2 = £40 per year for old bulbs

x 5 years = £200 for old bulbs altogether

Therefore the new light bulbs are £80 cheaper than the old light bulbs.

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

Which coins?

50p, 5p, 2p, 1p, 2p = 60p

20p, 10p, 5p, 10p, 20p =65p

How much has been saved?

£16

£30

How much has been saved?

£12

£20

Week 12

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

1

Dividing by 3 and 4

Divisible by 3?

42

45

48

50

52

54

56

60

Divisible by 4? Neither?

© Hamilton Trust Year 4 Autumn Maths Answers for Weekly Plans

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