Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 percentages worksheet.
Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $80 to $76. Find the percentage decrease.
Answer: 5%
- Change = 80 − 76 = 4
- 4 ÷ 80 × 100 = 5%
2.After a 40% increase, a price is $1064. What was the original price?
Answer: $760
- New price = 140% of the original
- Original = 1064 ÷ 1.4
- = $760
3.A price changes from $400 to $460. Find the percentage increase.
Answer: 15%
- Change = 460 − 400 = 60
- 60 ÷ 400 × 100 = 15%
4.A price changes from $180 to $225. Find the percentage increase.
Answer: 25%
- Change = 225 − 180 = 45
- 45 ÷ 180 × 100 = 25%
5.After a 75% increase, a price is $70. What was the original price?
Answer: $40
- New price = 175% of the original
- Original = 70 ÷ 1.75
- = $40
6.A price changes from $780 to $1365. Find the percentage increase.
Answer: 75%
- Change = 1365 − 780 = 585
- 585 ÷ 780 × 100 = 75%
7.A price changes from $400 to $420. Find the percentage increase.
Answer: 5%
- Change = 420 − 400 = 20
- 20 ÷ 400 × 100 = 5%
8.A price changes from $560 to $448. Find the percentage decrease.
Answer: 20%
- Change = 560 − 448 = 112
- 112 ÷ 560 × 100 = 20%
9.A price changes from $640 to $544. Find the percentage decrease.
Answer: 15%
- Change = 640 − 544 = 96
- 96 ÷ 640 × 100 = 15%
10.A price changes from $160 to $64. Find the percentage decrease.
Answer: 60%
- Change = 160 − 64 = 96
- 96 ÷ 160 × 100 = 60%
Marking tips
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- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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