Number Worksheets - Free Printable
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Step-by-step solution for: Number Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Number Worksheets
Let’s solve each section step by step.
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Section A: Multiplication and Division with Money
We’ll do each problem one at a time.
1) £3.25 × 2
→ 3.25 + 3.25 = 6.50 → £6.50
2) £6.97 × 4
→ 6.97 × 4:
First, 7 × 4 = 28 → write down 8, carry 2
Then, 9 × 4 = 36 + 2 = 38 → write down 8, carry 3
Then, 6 × 4 = 24 + 3 = 27 → so 27.88
→ £27.88
3) £17.48 × 9
→ Let’s break it:
17 × 9 = 153
0.48 × 9 = 4.32
Total = 153 + 4.32 = £157.32
4) £7.92 ÷ 3
→ 7.92 ÷ 3:
3 goes into 7 twice (6), remainder 1 → bring down 9 → 19
3 goes into 19 six times (18), remainder 1 → bring down 2 → 12
3 goes into 12 four times → so 2.64
→ £2.64
5) £61.36 ÷ 4
→ 61.36 ÷ 4:
4 into 6 is 1 (remainder 2) → 21 → 4×5=20 → rem 1 → 13 → 4×3=12 → rem 1 → 16 → 4×4=16
So: 15.34
→ £15.34
6) £391.92 ÷ 8
→ 391.92 ÷ 8:
8 into 39 → 4×8=32 → rem 7 → 71 → 8×8=64 → rem 7 → 79 → 8×9=72 → rem 7 → 72 → 8×9=72 → then .92 → 92÷8=11.5? Wait — better to do decimal division carefully.
Actually:
391.92 ÷ 8
= (392 - 0.08) ÷ 8 = 49 - 0.01 = 48.99? No — let's compute directly:
8 × 48 = 384 → subtract from 391 → 7.92 left
8 × 0.99 = 7.92 → so total 48.99
Wait — 8 × 48.99 = 8×48 + 8×0.99 = 384 + 7.92 = 391.92 → YES
→ £48.99
But wait — let me double-check:
391.92 ÷ 8
Divide step by step:
8 | 391.92
8 into 39 → 4 → 32 → rem 7
Bring down 1 → 71 → 8×8=64 → rem 7
Bring down 9 → 79 → 8×9=72 → rem 7
Bring down 2 → 72 → 8×9=72 → rem 0
Decimal point after 391 → so answer is 48.99
Yes → £48.99
7) £1.56 × 7
→ 1.56 × 7:
6×7=42 → write 2, carry 4
5×7=35+4=39 → write 9, carry 3
1×7=7+3=10 → so 10.92
→ £10.92
8) £42.18 ÷ 3
→ 42.18 ÷ 3:
3 into 42 = 14 → then .18 ÷ 3 = 0.06 → so 14.06
Check: 14.06 × 3 = 42.18 → yes
→ £14.06
9) £719.46 ÷ 9
→ 719.46 ÷ 9:
9 into 71 → 7×9=63 → rem 8 → 89 → 9×9=81 → rem 8 → 84 → 9×9=81 → rem 3 → 36 → 9×4=36 → then .46? Wait — we have 719.46
Better:
9 × 79 = 711 → 719.46 - 711 = 8.46
8.46 ÷ 9 = 0.94 → so 79 + 0.94 = 79.94
Check: 79.94 × 9 = ?
80×9=720 → minus 0.06×9=0.54 → 720 - 0.54 = 719.46 → YES
→ £79.94
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Section B: How many items can you buy?
Left table: Item cost vs Quantity with £1 and £2
Remember: £1 = 100p, £2 = 200p
Item cost 35p:
With £1 (100p): 100 ÷ 35 = 2.85… → only whole items → 2
With £2 (200p): 200 ÷ 35 ≈ 5.71 → 5
Item cost 23p:
£1: 100 ÷ 23 ≈ 4.34 → 4
£2: 200 ÷ 23 ≈ 8.69 → 8
Item cost 8p:
£1: 100 ÷ 8 = 12.5 → 12
£2: 200 ÷ 8 = 25 → 25
Item cost £1.15 = 115p:
£1: 100 ÷ 115 < 1 → 0
£2: 200 ÷ 115 ≈ 1.73 → 1
Right table: Item cost vs Quantity with £5 and £10
£5 = 500p, £10 = 1000p
Item cost £1.99:
£5: 500 ÷ 199 ≈ 2.51 → 2
£10: 1000 ÷ 199 ≈ 5.02 → 5
Item cost £2.25:
£5: 500 ÷ 225 ≈ 2.22 → 2
£10: 1000 ÷ 225 ≈ 4.44 → 4
Item cost 44p:
£5: 500 ÷ 44 ≈ 11.36 → 11
£10: 1000 ÷ 44 ≈ 22.72 → 22
Item cost 13p:
£5: 500 ÷ 13 ≈ 38.46 → 38
£10: 1000 ÷ 13 ≈ 76.92 → 76
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Section C: Word Problems
1) Yemi has £100. Plants are 95p each, trees are £17 each. She needs 25 plants and 4 trees.
Cost of plants: 25 × 95p = 25 × 0.95 = £23.75
Cost of trees: 4 × £17 = £68
Total = 23.75 + 68 = £91.75
She has £100 → £100 > £91.75 → Yes, she has enough money.
2) Cinema tickets: Adult £6.40, Child £4.80. Family: 2 adults, 2 children on Monday.
a) Total price on Monday:
2 × 6.40 = £12.80
2 × 4.80 = £9.60
Total = 12.80 + 9.60 = £22.40
b) Friday deal: Kids half price → child ticket = 4.80 ÷ 2 = £2.40
New total:
Adults still 2 × 6.40 = £12.80
Children: 2 × 2.40 = £4.80
Total = 12.80 + 4.80 = £17.60
Difference: 22.40 - 17.60 = £4.80 less
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Extension
1) Minicab: £2.20 per mile. Journey is 12 miles. Students share equally. Each pays £4.40.
a) Total cost = 12 × 2.20 = £26.40
b) If each paid £4.40, number of students = total cost ÷ each payment = 26.40 ÷ 4.40
→ 26.40 ÷ 4.40 = 2640 ÷ 440 = 6
→ 6 students
2) Car park: 15p for 8 minutes.
a) Cost for 40 minutes:
How many 8-minute blocks in 40 min? 40 ÷ 8 = 5
Each block 15p → 5 × 15 = 75p → 75p
b) Neil spends £3.75 = 375p
Number of 8-min blocks: 375 ÷ 15 = 25
Time = 25 × 8 = 200 minutes → 200 minutes
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Final Answer:
Section A:
1) £6.50
2) £27.88
3) £157.32
4) £2.64
5) £15.34
6) £48.99
7) £10.92
8) £14.06
9) £79.94
Section B:
Left Table:
35p → 2, 5
23p → 4, 8
8p → 12, 25
£1.15 → 0, 1
Right Table:
£1.99 → 2, 5
£2.25 → 2, 4
44p → 11, 22
13p → 38, 76
Section C:
1) Yes
2a) £22.40
2b) £4.80
Extension:
1a) £26.40
1b) 6
2a) 75p
2b) 200 minutes
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Section A: Multiplication and Division with Money
We’ll do each problem one at a time.
1) £3.25 × 2
→ 3.25 + 3.25 = 6.50 → £6.50
2) £6.97 × 4
→ 6.97 × 4:
First, 7 × 4 = 28 → write down 8, carry 2
Then, 9 × 4 = 36 + 2 = 38 → write down 8, carry 3
Then, 6 × 4 = 24 + 3 = 27 → so 27.88
→ £27.88
3) £17.48 × 9
→ Let’s break it:
17 × 9 = 153
0.48 × 9 = 4.32
Total = 153 + 4.32 = £157.32
4) £7.92 ÷ 3
→ 7.92 ÷ 3:
3 goes into 7 twice (6), remainder 1 → bring down 9 → 19
3 goes into 19 six times (18), remainder 1 → bring down 2 → 12
3 goes into 12 four times → so 2.64
→ £2.64
5) £61.36 ÷ 4
→ 61.36 ÷ 4:
4 into 6 is 1 (remainder 2) → 21 → 4×5=20 → rem 1 → 13 → 4×3=12 → rem 1 → 16 → 4×4=16
So: 15.34
→ £15.34
6) £391.92 ÷ 8
→ 391.92 ÷ 8:
8 into 39 → 4×8=32 → rem 7 → 71 → 8×8=64 → rem 7 → 79 → 8×9=72 → rem 7 → 72 → 8×9=72 → then .92 → 92÷8=11.5? Wait — better to do decimal division carefully.
Actually:
391.92 ÷ 8
= (392 - 0.08) ÷ 8 = 49 - 0.01 = 48.99? No — let's compute directly:
8 × 48 = 384 → subtract from 391 → 7.92 left
8 × 0.99 = 7.92 → so total 48.99
Wait — 8 × 48.99 = 8×48 + 8×0.99 = 384 + 7.92 = 391.92 → YES
→ £48.99
But wait — let me double-check:
391.92 ÷ 8
Divide step by step:
8 | 391.92
8 into 39 → 4 → 32 → rem 7
Bring down 1 → 71 → 8×8=64 → rem 7
Bring down 9 → 79 → 8×9=72 → rem 7
Bring down 2 → 72 → 8×9=72 → rem 0
Decimal point after 391 → so answer is 48.99
Yes → £48.99
7) £1.56 × 7
→ 1.56 × 7:
6×7=42 → write 2, carry 4
5×7=35+4=39 → write 9, carry 3
1×7=7+3=10 → so 10.92
→ £10.92
8) £42.18 ÷ 3
→ 42.18 ÷ 3:
3 into 42 = 14 → then .18 ÷ 3 = 0.06 → so 14.06
Check: 14.06 × 3 = 42.18 → yes
→ £14.06
9) £719.46 ÷ 9
→ 719.46 ÷ 9:
9 into 71 → 7×9=63 → rem 8 → 89 → 9×9=81 → rem 8 → 84 → 9×9=81 → rem 3 → 36 → 9×4=36 → then .46? Wait — we have 719.46
Better:
9 × 79 = 711 → 719.46 - 711 = 8.46
8.46 ÷ 9 = 0.94 → so 79 + 0.94 = 79.94
Check: 79.94 × 9 = ?
80×9=720 → minus 0.06×9=0.54 → 720 - 0.54 = 719.46 → YES
→ £79.94
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Section B: How many items can you buy?
Left table: Item cost vs Quantity with £1 and £2
Remember: £1 = 100p, £2 = 200p
Item cost 35p:
With £1 (100p): 100 ÷ 35 = 2.85… → only whole items → 2
With £2 (200p): 200 ÷ 35 ≈ 5.71 → 5
Item cost 23p:
£1: 100 ÷ 23 ≈ 4.34 → 4
£2: 200 ÷ 23 ≈ 8.69 → 8
Item cost 8p:
£1: 100 ÷ 8 = 12.5 → 12
£2: 200 ÷ 8 = 25 → 25
Item cost £1.15 = 115p:
£1: 100 ÷ 115 < 1 → 0
£2: 200 ÷ 115 ≈ 1.73 → 1
Right table: Item cost vs Quantity with £5 and £10
£5 = 500p, £10 = 1000p
Item cost £1.99:
£5: 500 ÷ 199 ≈ 2.51 → 2
£10: 1000 ÷ 199 ≈ 5.02 → 5
Item cost £2.25:
£5: 500 ÷ 225 ≈ 2.22 → 2
£10: 1000 ÷ 225 ≈ 4.44 → 4
Item cost 44p:
£5: 500 ÷ 44 ≈ 11.36 → 11
£10: 1000 ÷ 44 ≈ 22.72 → 22
Item cost 13p:
£5: 500 ÷ 13 ≈ 38.46 → 38
£10: 1000 ÷ 13 ≈ 76.92 → 76
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Section C: Word Problems
1) Yemi has £100. Plants are 95p each, trees are £17 each. She needs 25 plants and 4 trees.
Cost of plants: 25 × 95p = 25 × 0.95 = £23.75
Cost of trees: 4 × £17 = £68
Total = 23.75 + 68 = £91.75
She has £100 → £100 > £91.75 → Yes, she has enough money.
2) Cinema tickets: Adult £6.40, Child £4.80. Family: 2 adults, 2 children on Monday.
a) Total price on Monday:
2 × 6.40 = £12.80
2 × 4.80 = £9.60
Total = 12.80 + 9.60 = £22.40
b) Friday deal: Kids half price → child ticket = 4.80 ÷ 2 = £2.40
New total:
Adults still 2 × 6.40 = £12.80
Children: 2 × 2.40 = £4.80
Total = 12.80 + 4.80 = £17.60
Difference: 22.40 - 17.60 = £4.80 less
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Extension
1) Minicab: £2.20 per mile. Journey is 12 miles. Students share equally. Each pays £4.40.
a) Total cost = 12 × 2.20 = £26.40
b) If each paid £4.40, number of students = total cost ÷ each payment = 26.40 ÷ 4.40
→ 26.40 ÷ 4.40 = 2640 ÷ 440 = 6
→ 6 students
2) Car park: 15p for 8 minutes.
a) Cost for 40 minutes:
How many 8-minute blocks in 40 min? 40 ÷ 8 = 5
Each block 15p → 5 × 15 = 75p → 75p
b) Neil spends £3.75 = 375p
Number of 8-min blocks: 375 ÷ 15 = 25
Time = 25 × 8 = 200 minutes → 200 minutes
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Final Answer:
Section A:
1) £6.50
2) £27.88
3) £157.32
4) £2.64
5) £15.34
6) £48.99
7) £10.92
8) £14.06
9) £79.94
Section B:
Left Table:
35p → 2, 5
23p → 4, 8
8p → 12, 25
£1.15 → 0, 1
Right Table:
£1.99 → 2, 5
£2.25 → 2, 4
44p → 11, 22
13p → 38, 76
Section C:
1) Yes
2a) £22.40
2b) £4.80
Extension:
1a) £26.40
1b) 6
2a) 75p
2b) 200 minutes
Parent Tip: Review the logic above to help your child master the concept of printable worksheets ks3 maths.
