Worksheet with math problems on complements and percentages.

It looks like you've uploaded a list of math word problems, but I can't see the image. However, based on your text, I’ll solve each problem step by step and explain the reasoning clearly.

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1) 16% of a class are girls. What percentage were boys?

Solution:
If 16% are girls, then the rest must be boys.

Total = 100%
Boys = 100% - 16% = 84%

✔ Answer: 84%

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2) A pair of trousers was 30% wool, 20% acrylic, and the rest mohair. What percentage was mohair?

Solution:
Add the percentages of wool and acrylic:
30% + 20% = 50%

Remaining = 100% - 50% = 50%

✔ Answer: 50%

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3) Jamie has a rope that is 10 m long. He cuts off 3.5m. How much rope is left?

Solution:
Subtract the cut length from total:
10 m - 3.5 m = 6.5 m

✔ Answer: 6.5 meters

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4) Kerry has a snake that is 7m long. She shuts it in the box for mistake and it grows 2.3m. How long is the remaining snake?

This sentence seems to have a typo or confusion. "Shuts it in the box for mistake" doesn’t make sense. But if we interpret it as: *The snake grows 2.3m*, then:

Original length = 7 m
Growth = 2.3 m
New length = 7 + 2.3 = 9.3 m

But “remaining snake” suggests something is removed — maybe a misstatement?

Alternatively, if she "shuts it in the box" and it grows, the snake becomes longer. So likely:

✔ Answer: 9.3 meters

(If the question meant something else, please clarify.)

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5) Sean spends £2.40 on socks and 56p on a hairband. How much change should he have from £2.00?

Wait — he spends more than £2.00?

£2.40 + 56p = £2.40 + £0.56 = £2.96

But he only has £2.00 → he can’t afford it.

So this is impossible unless there’s a typo.

Possibility: Maybe he spent £1.40 on socks?

Let’s assume he spent £1.40 on socks, not £2.40.

Then:
£1.40 + £0.56 = £1.96
Change from £2.00 = £2.00 - £1.96 = 4p

But since the original says £2.40, which exceeds £2.00, it's impossible.

✔ Conclusion: There's an error in the problem. With £2.40 + 56p = £2.96 > £2.00 → No change; he needs 96p more.

But if the intended amount was £1.40, then change = 4p

Please verify the numbers.

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6) Steven jumps 3.45m in the long jump. Emily jumps 5m. How far further does Emily jump than Steven?

Solution:
Emily – Steven = 5.00 - 3.45 = 1.55 m

✔ Answer: 1.55 meters

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7) A car travels 100m in 10s. A second car travels 100m in 10s faster. What time does Jenny run? (Be careful!)

This sentence is confusing. Let’s parse it.

- First car: 100m in 10s → speed = 10 m/s
- Second car: "travels 100m in 10s faster" → ambiguous

Does it mean:
- It takes 10 seconds less to go 100m? Then time = 10s - 10s = 0s → impossible.
- Or it means it travels 10 seconds faster than the first? That would be 0s again.

But “in 10s faster” is awkward.

Alternative interpretation: Perhaps it means the second car goes 100m in 10 seconds less than the first.

But first car takes 10s → second would take 0s → invalid.

So likely a typo.

Perhaps: “A second car travels 100m in 10s. It is 10s faster.” → no.

Wait — maybe: "A second car travels 100m in 10s faster than the first." → still problematic.

Another possibility: Maybe the second car travels 100m in 10s, and the first took more time, so the second is faster.

But the wording is unclear.

Also, “What time does Jenny run?” — who is Jenny?

Possibly a mix-up. Maybe it's asking: “How much faster is the second car?”

Or perhaps: “Jenny runs 100m in 10s. Another person runs 100m in 10s faster.” → again, nonsense.

Best guess: Typo. Likely meant:

> A car travels 100m in 10s. Another car travels 100m in 8s. How much faster is the second car?

But as written, it's flawed.

✔ Answer: Problem is ambiguous or contains errors. Cannot determine.

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8) Paige has 25 goloboppers and 30 lemon shermers. She eats 1/5 of the goloboppers and one third of the lemon shermers. How many sweets does she have left?

Solution:

- Goloboppers: 25
Eats 1/5 → 25 × 1/5 = 5 eaten
Left: 25 - 5 = 20

- Lemon shermers: 30
Eats 1/3 → 30 × 1/3 = 10 eaten
Left: 30 - 10 = 20

Total left: 20 + 20 = 40 sweets

✔ Answer: 40 sweets

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9) Natalie has 24 pairs of socks and 50 pairs of yellow socks. She eats one third of the red socks and 10% of the yellow socks. How many socks does she have left?

Wait — “24 pairs of socks” and “50 pairs of yellow socks” — inconsistent.

If she has 24 pairs total, and 50 pairs are yellow, that’s impossible.

Likely: She has 24 pairs of red socks and 50 pairs of yellow socks.

Assume that.

So:
- Red socks: 24 pairs → 24 × 2 = 48 individual socks
Eats 1/3 → 48 × 1/3 = 16 eaten
Left: 48 - 16 = 32

- Yellow socks: 50 pairs → 50 × 2 = 100 individual socks
Eats 10% → 100 × 0.10 = 10 eaten
Left: 100 - 10 = 90

Total left: 32 + 90 = 122 socks

✔ Answer: 122 socks

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10) Ashley has 230 bananas. She feeds 50% to Sam and 25% to Ben. How many does she have left?

Solution:

- Total: 230
- Feeds 50% to Sam: 230 × 0.50 = 115
- Feeds 25% to Ben: 230 × 0.25 = 57.5 → but bananas can’t be half

Problem: 25% of 230 = 57.5 → not possible.

Unless it’s acceptable to have half a banana.

But typically, we expect whole numbers.

Check: 50% + 25% = 75% given away
Left: 25% → 230 × 0.25 = 57.5

So either:
- Accept fractional banana: 57.5
- Or there’s a typo.

But let’s assume it’s okay.

✔ Answer: 57.5 bananas

Alternatively, maybe the numbers are wrong.

But with given data: