Math worksheet with word problems on percentages and complements.

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 modal. What percentage was modal?

Solution:
Add up known percentages:
- Wool: 30%
- Acrylic: 20%
- Total so far: 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 4.35 m. How much rope does he have left?

Solution:
Subtract the cut portion from total:

10.00 m - 4.35 m = 5.65 m

✔ Answer: 5.65 meters

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4) Kerry has a snake that is 17m long. She shuts it in the box for mistake and it grows 2.34 m. How long is the remaining snake?

Wait — this seems confusing. Let's interpret carefully.

It says she "shuts it in the box for mistake" — possibly a typo or misphrasing. But it says the snake grows 2.34 m.

So if it was 17 m and grows 2.34 m, then:

New length = 17 + 2.34 = 19.34 m

But the question asks: "How long is the remaining snake?" — which implies something was removed?

Possibly a typo: maybe the snake was cut, not grown?

But it says "grows". So unless there's a mistake in wording, we assume growth.

But “remaining” suggests subtraction.

Let’s re-read: “She shuts it in the box for mistake and it grows 2.34 m.” — likely a mistranslation.

Assuming it means: She puts it in a box (maybe to keep it safe), and it grows 2.34 m.

Then the new length is:

17 + 2.34 = 19.34 m

But if it says “how long is the remaining snake”, and no part was removed, then the whole snake is still there.

So remaining = 19.34 m

✔ Answer: 19.34 m

> ⚠️ Note: The phrasing is odd. If it's a trick question, perhaps “mistake” implies she cut it? But no indication of cutting. So assuming growth.

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

Wait — he spends more than £2.00?

£2.40 + £0.56 = £2.96

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

But the question asks: “How much change would he have from £2.00?”

That doesn’t make sense — he doesn’t have enough money.

Unless the amounts are wrong.

Wait — could it be he spends £2.40 on socks, and 56p on chocolate, but he paid with £2.00?

Then he can’t pay.

So either:
- The amounts are switched
- Or the amount he paid is more

But as written:
Socks: £2.40
Chocolate: £0.56
Total spent: £2.96
He only has £2.00 → He can't buy both

So no change — he needs £0.96 more.

But that contradicts the question asking for change.

Possibility: Typo — maybe socks cost £1.40?

Or perhaps he spends £2.40 total?

Wait — let's check again:

“Sean spends £2.40 on socks and 56p on a chocolate bar.”

So two separate purchases.

Total cost = £2.40 + £0.56 = £2.96

Paid with £2.00 → Not possible

So no change, but he is short by £0.96

But since the question assumes he pays and gets change, likely a typo.

Alternative interpretation: Maybe he spends £2.40 total, including both items?

But it says “spends £2.40 on socks” and “56p on chocolate”.

So unless it's a different setup.

Another possibility: He paid with £5.00? But it says £2.00.

Wait — perhaps it's £2.00 total spent?

But no.

Let’s suppose the sock price is £1.40 instead of £2.40?

Then:
- Socks: £1.40
- Chocolate: £0.56
- Total: £1.96
- Paid: £2.00
- Change: £0.04

That makes sense.

But as written: £2.40 is too much.

Alternatively, maybe he only buys one item?

No — it says he spends on both.

So likely a typo.

But assuming the numbers are correct, he cannot afford it, so no change, or negative change.

But that’s not standard.

Wait — maybe “spends £2.40” is the total?

But it says “on socks” — so socks are £2.40, chocolate 56p.

So unless the payment is more than £2.96, he can't get change.

But the question says “from £2.00” — so he paid £2.00.

So impossible.

Therefore, likely a typo — perhaps socks are £1.40?

Let’s assume that.

Then:
- Socks: £1.40
- Chocolate: £0.56
- Total: £1.96
- Paid: £2.00
- Change: £2.00 - £1.96 = £0.04

✔ Answer: 4p

But strictly speaking, as written: not possible.

But given context, likely intended: socks = £1.40

So I'll go with 4p change.

✔ Answer: 4p (assuming typo)

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6) Steven jumps 2.45m in the long jump. Emily jumps 5m. How much further does Emily jump than Steven?

Solution:
Emily: 5.00 m
Steven: 2.45 m
Difference: 5.00 - 2.45 = 2.55 m

✔ Answer: 2.55 meters

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

Wait — who is Jenny? Not mentioned.

Possibly typo: maybe “the second car” is Jenny’s?

Assume: First car: 100m in 10s → speed = 100 / 10 = 10 m/s

Second car is 10% faster → speed = 10 × 1.10 = 11 m/s

Now, distance = 100 m

Time = distance / speed = 100 / 11 ≈ 9.09 seconds

But the question says “What time does Jenny take?” — so probably Jenny drives the second car.

✔ Answer: Approximately 9.09 seconds

> ⚠️ Note: “Be careful!” — because 10% faster means speed increases, not distance or time.

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

Solution:

Goldtoppers:
- Total: 25
- Eats 1/5 → 25 ÷ 5 = 5 eaten
- Left: 25 - 5 = 20

Lemon shermits:
- Total: 30
- Eats 1/3 → 30 ÷ 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 — “red socks”? But she has 24 pairs of socks and 50 pairs of yellow socks.

This is ambiguous.

Possibly: She has 24 pairs of red socks and 50 pairs of yellow socks?

But it says “24 pairs of socks and 50 pairs of yellow socks” — so maybe 24 pairs are not specified color?

But then it mentions “red socks” — contradiction.

Perhaps: She has 24 pairs of red socks and 50 pairs of yellow socks?

Let’s assume that.

So:
- Red socks: 24 pairs = 48 individual socks
- Yellow socks: 50 pairs = 100 individual socks

Eats:
- 1/3 of red socks → 1/3 × 48 = 16 eaten → 32 left
- 10% of yellow socks → 10% of 100 = 10 eaten → 90 left

Total left: 32 + 90 = 122 socks

But the question asks “how many socks” — not pairs.

So total individual socks left: 122

✔ Answer: 122 socks

> ⚠️ Assumption: 24 pairs = red socks, 50 pairs = yellow socks.

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10) Ashley has 230 bananas. She feeds 50% to Sam and 30% to Dan. How many bananas does she have left?

Solution:

Total: 230

Feeds to Sam: 50% of 230 = 0.5 × 230 = 115

Feeds to Dan: 30% of 230 = 0.3 × 230 = 69

Total fed = 115 + 69 = 184

Left: 230 - 184 = 46

Alternatively: Percentage left = 100% - 50% - 30% = 20%

20% of 230 = 0.2 × 230 = 46

✔ Answer: 46 bananas

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## ✔ Final Answers Summary:

1. 84%
2. 50%
3. 5.65 m
4. 19.34 m (assuming growth)
5. 4p (assuming typo: socks = £1.40)
6. 2.55 m
7. 9.09 seconds (approx)
8. 40 sweets
9. 122 socks (assuming 24 pairs red, 50 pairs yellow)
10. 46 bananas

Let me know if you'd like these formatted differently or if there's a specific image you want interpreted!