Success TutoringWorksheets

Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 percentages worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

Percentage change = change ÷ original amount × 100. Always divide by the original amount.

1.A price changes from $180 to $108. Find the percentage decrease.

Answer: 40%

  1. Change = 180 − 108 = 72
  2. 72 ÷ 180 × 100 = 40%
2.After a 40% decrease, a price is $432. What was the original price?

Answer: $720

  1. New price = 60% of the original
  2. Original = 432 ÷ 0.6
  3. = $720
3.A price changes from $300 to $255. Find the percentage decrease.

Answer: 15%

  1. Change = 300 − 255 = 45
  2. 45 ÷ 300 × 100 = 15%
4.After a 30% increase, a price is $52. What was the original price?

Answer: $40

  1. New price = 130% of the original
  2. Original = 52 ÷ 1.3
  3. = $40
5.After a 30% increase, a price is $546. What was the original price?

Answer: $420

  1. New price = 130% of the original
  2. Original = 546 ÷ 1.3
  3. = $420
6.A price changes from $740 to $185. Find the percentage decrease.

Answer: 75%

  1. Change = 740 − 185 = 555
  2. 555 ÷ 740 × 100 = 75%
7.A price changes from $200 to $240. Find the percentage increase.

Answer: 20%

  1. Change = 240 − 200 = 40
  2. 40 ÷ 200 × 100 = 20%
8.A price changes from $780 to $897. Find the percentage increase.

Answer: 15%

  1. Change = 897 − 780 = 117
  2. 117 ÷ 780 × 100 = 15%
9.A price changes from $460 to $345. Find the percentage decrease.

Answer: 25%

  1. Change = 460 − 345 = 115
  2. 115 ÷ 460 × 100 = 25%
10.A price changes from $760 to $570. Find the percentage decrease.

Answer: 25%

  1. Change = 760 − 570 = 190
  2. 190 ÷ 760 × 100 = 25%
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.

Great work. Here's what to try next: