Here's the step-by-step solution to each word problem on the worksheet. All problems involve multiplying a single-digit decimal by a whole number.
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Problem 1:
> Pencils cost a school £0.05 each. A box holds 12 pencils. How much does one box cost the school?
Solution:
Multiply the cost per pencil by the number of pencils in a box:
£0.05 × 12
You can think of this as:
5 pence × 12 = 60 pence =
£0.60
Or calculate directly:
0.05 × 12 = 0.60
✔ Answer: £0.60
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Problem 2:
> A set of miniature gauge railway track contains 10 pieces that are 0.3m long. How long would the railway be when all the pieces of track are put together?
Solution:
Multiply the length of one piece by the number of pieces:
0.3 m × 10
When you multiply a decimal by 10, move the decimal point one place to the right:
0.3 →
3.0 m
✔ Answer: 3.0 m
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Problem 3:
> A shop buys a box of 50 mini chocolate bars from a wholesaler for £0.02 each. How much does the box cost?
Solution:
Multiply the cost per bar by the number of bars:
£0.02 × 50
Think of it as:
2 pence × 50 = 100 pence =
£1.00
Or calculate:
0.02 × 50 = 1.00
✔ Answer: £1.00
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Problem 4:
> Small boxes of sultanas weigh 0.06kg each. How much will 20 boxes weigh?
Solution:
Multiply the weight per box by the number of boxes:
0.06 kg × 20
Calculate:
0.06 × 20 = 1.20 kg
✔ Answer: 1.20 kg
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Problem 5:
> A stationery shop makes £0.04 profit on every rubber sold. If the shop sells 35 in a month, what profit is made on the rubbers?
Solution:
Multiply profit per rubber by number sold:
£0.04 × 35
Break it down:
0.04 × 35 = (4/100) × 35 = (4 × 35) / 100 = 140 / 100 =
£1.40
✔ Answer: £1.40
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Problem 6:
> A hospital buys bottles of a medicine. Each bottle contains 0.5 litres of medicine. How much medicine will be in a case of 8 bottles?
Solution:
Multiply volume per bottle by number of bottles:
0.5 L × 8
0.5 × 8 = 4.0 litres
✔ Answer: 4.0 litres
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✔ Final Answers Summary:
1.
£0.60
2.
3.0 m
3.
£1.00
4.
1.20 kg
5.
£1.40
6.
4.0 litres
These problems reinforce multiplying decimals (with one decimal place) by whole numbers — a key skill in real-life math involving money, measurements, and quantities.
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals word problems worksheet.