Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 percentages worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · PercentagesYear 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.After a 75% increase, a price is $385. What was the original price?
Answer: $220
- New price = 175% of the original
- Original = 385 ÷ 1.75
- = $220
2.After a 75% decrease, a price is $55. What was the original price?
Answer: $220
- New price = 25% of the original
- Original = 55 ÷ 0.25
- = $220
3.After a 40% decrease, a price is $396. What was the original price?
Answer: $660
- New price = 60% of the original
- Original = 396 ÷ 0.6
- = $660
4.A price changes from $800 to $704. Find the percentage decrease.
Answer: 12%
- Change = 800 − 704 = 96
- 96 ÷ 800 × 100 = 12%
5.A price changes from $660 to $693. Find the percentage increase.
Answer: 5%
- Change = 693 − 660 = 33
- 33 ÷ 660 × 100 = 5%
6.A price changes from $320 to $272. Find the percentage decrease.
Answer: 15%
- Change = 320 − 272 = 48
- 48 ÷ 320 × 100 = 15%
7.A price changes from $200 to $50. Find the percentage decrease.
Answer: 75%
- Change = 200 − 50 = 150
- 150 ÷ 200 × 100 = 75%
8.A price changes from $660 to $759. Find the percentage increase.
Answer: 15%
- Change = 759 − 660 = 99
- 99 ÷ 660 × 100 = 15%
9.A price changes from $100 to $105. Find the percentage increase.
Answer: 5%
- Change = 105 − 100 = 5
- 5 ÷ 100 × 100 = 5%
10.A price changes from $520 to $572. Find the percentage increase.
Answer: 10%
- Change = 572 − 520 = 52
- 52 ÷ 520 × 100 = 10%
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.