Percentage word problems worksheet for UK students, featuring six real-life math scenarios involving percentages.

Let’s solve each percentage word problem step by step.

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Problem 1:
> Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

Solution:
- 10% of 120 = 0.10 × 120 = 12
- Tyger’s score = Captain’s score + 10% more = 120 + 12 = 132

✔ Answer: 132 points

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Problem 2:
> Frazer is saving up for a new laptop. He has saved 60% of the amount so far. If the laptop costs £320, how much more does he need to save?

Solution:
- He has saved 60% of £320 = 0.60 × 320 = £192
- Amount still needed = Total cost – Amount saved = 320 – 192 = £128

✔ Answer: £128

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Problem 3:
> Sally sprints 300 metres in a minute. Quadra runs 20% further than Sally in the same time. How far did Quadra sprint?

Solution:
- 20% of 300 = 0.20 × 300 = 60
- Quadra’s distance = 300 + 60 = 360 metres

✔ Answer: 360 metres

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Problem 4:
> Newton spends 25% of his free time each day reading. If he spends 40 minutes reading, how much free time does he have in hours and minutes?

Solution:
- Let total free time = *x* minutes.
- 25% of *x* = 40 → 0.25*x* = 40
- *x* = 40 ÷ 0.25 = 160 minutes
- Convert 160 minutes to hours and minutes:
- 160 ÷ 60 = 2 hours and 40 minutes (since 2×60=120, 160–120=40)

✔ Answer: 2 hours and 40 minutes

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Problem 5:
> There are some fish in an aquarium. 40% of the fish are angelfish. If there are 12 angelfish in the aquarium, how many fish altogether?

Solution:
- Let total number of fish = *x*
- 40% of *x* = 12 → 0.40*x* = 12
- *x* = 12 ÷ 0.40 = 30

✔ Answer: 30 fish

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Problem 6:
> Sally buys a tin of chocolates. She gives a quarter of the chocolates to Tyger, 10% to Newton, and 15% to Frazer. She keeps the remaining 15 chocolates for herself. How many chocolates were in the tin?

Solution:
First, convert all given portions to percentages:

- Quarter = 25%
- To Newton = 10%
- To Frazer = 15%
- Total given away = 25% + 10% + 15% = 50%
- So she keeps 100% – 50% = 50% for herself

She keeps 15 chocolates, which is 50% of the total.

So, 50% of total = 15 → 0.50 × total = 15
→ total = 15 ÷ 0.50 = 30 chocolates

✔ Answer: 30 chocolates

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## ✔ Final Answers:

1) 132 points
2) £128
3) 360 metres
4) 2 hours and 40 minutes
5) 30 fish
6) 30 chocolates

All answers are rounded to the nearest whole number where appropriate — and none required rounding beyond what was already whole.