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Percentage Increase & Decrease; Unitary Method

Quiz · Maths · Y8 Fractions & Percentages · Year 8
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

Progress: 0 / 9 correct
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Level 1 · Warm-up

1 What multiplier decreases an amount by 25%?
Show worked solution
Keep 75% → ×0.75.
2 Increase $50 by 20%.
Show worked solution
1.2 × 50 = $60.
3 Decrease 90 by 10%.
Show worked solution
0.9 × 90 = 81.

Level 2 · Core

4 Increase 260 by 15%.
Show worked solution
1.15 × 260 = 299.
5 A price changed from $40 to $46. Percentage increase?
Show worked solution
6/40 × 100 = 15%.
6 20% of an amount is $13. What is the full amount?
Show worked solution
1% = 0.65 → 100% = $65.

Level 3 · Challenge

7 A $400 item rises 25% then falls 20%. Final price?
Show worked solution
1.25 × 0.8 = 1.0 → exactly $400 — the changes cancel perfectly here!
8 A bag costs $102 after a 15% discount. Original price?
Show worked solution
102 ÷ 0.85 = $120.
9 Rent rose 8% to $324 per week. What was it before?
Show worked solution
324 is 108%: ÷1.08 = $300.