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11+ Maths Guide · Year 5–6 · Free lesson

Percentage Decrease

Sales, discounts and shrinking cereal boxes — percentage decrease is the mirror of increase: find the percentage of the original, then take it away. This lesson pairs with P5 so the two never get muddled.

P6Percentage Decrease
Make it smaller by a percentage.
A percentage decrease takes a percentage of the original away.
A £60 jacket is reduced by 25% in a sale. New price?
25% of £60 = £15
£60 − £15 = £45
You pay 75% of the original.
Decrease = original − (percentage of original).
1

Learn the 3-Step Method

1Find the percentage of the original.

25% of £60: half is 30, half again is 15.

25% → £15

2Take it away.

New price = original − decrease: 60 − 15 = 45.

60 − 15 = 45

3Sense-check.

A decrease means the answer must be LESS than the original.

£45 < £60 ✓
💡 Key IdeaDecreasing by 25% means paying 75% of the original — what's left after the cut.
2

Worked Example

A 240 g cereal box shrinks by 10%. What's the new weight?

Find 10%
240 ÷ 10 = 24
10% = 24 g
Subtract
240 − 24 = 216
✓ Answer
216 g
216 < 240 ✓
3

Watch Out! Common Mistakes

Giving the discount as the answer.
£60 − 25% = £15 ✕

Wrong! £15 is the discount. The sale price is 60 − 15 = £45.

Subtracting the percentage as pounds.
£60 − 25% = 60 − 25 = £35 ✕

Wrong! 25% of £60 is £15, not £25. Sale price: £45.

Adding instead of subtracting.
reduced by 10% → 240 + 24 = 264 g ✕

Wrong! ‘Reduced’ means smaller: 240 − 24 = 216 g.

Cheat Sheet

PERCENTAGE DECREASE
  1. Find the percentage of the original amount.
  2. SUBTRACT it from the original.
  3. Decrease by 25% = keep 75% of the original.
  4. Check: the answer must be smaller than you started with.
Example: £60 − 25% → 25% of £60 = £15 → £45
📄 Free printable: Download the Percentage Decrease cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

How do you decrease an amount by a percentage?

Find that percentage of the original and subtract it. £60 reduced by 25%: 25% of £60 is £15, so the sale price is £45.

What does '25% off' mean in a sale?

The price drops by a quarter of the original — you pay the remaining 75%. A £60 jacket at 25% off costs £45.

How can children check a percentage decrease answer?

Two ways: the answer must be smaller than the original, and discount + sale price must add back to the original (£15 + £45 = £60).

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