Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 percentages worksheet.
Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.After a 25% increase, a price is $975. What was the original price?
Answer: $780
- New price = 125% of the original
- Original = 975 ÷ 1.25
- = $780
2.A price changes from $60 to $63. Find the percentage increase.
Answer: 5%
- Change = 63 − 60 = 3
- 3 ÷ 60 × 100 = 5%
3.After a 15% increase, a price is $46. What was the original price?
Answer: $40
- New price = 115% of the original
- Original = 46 ÷ 1.15
- = $40
4.After a 20% increase, a price is $504. What was the original price?
Answer: $420
- New price = 120% of the original
- Original = 504 ÷ 1.2
- = $420
5.A price changes from $500 to $450. Find the percentage decrease.
Answer: 10%
- Change = 500 − 450 = 50
- 50 ÷ 500 × 100 = 10%
6.After a 10% increase, a price is $132. What was the original price?
Answer: $120
- New price = 110% of the original
- Original = 132 ÷ 1.1
- = $120
7.After a 60% increase, a price is $64. What was the original price?
Answer: $40
- New price = 160% of the original
- Original = 64 ÷ 1.6
- = $40
8.A price changes from $680 to $782. Find the percentage increase.
Answer: 15%
- Change = 782 − 680 = 102
- 102 ÷ 680 × 100 = 15%
9.After a 25% increase, a price is $125. What was the original price?
Answer: $100
- New price = 125% of the original
- Original = 125 ÷ 1.25
- = $100
10.A price changes from $60 to $15. Find the percentage decrease.
Answer: 75%
- Change = 60 − 15 = 45
- 45 ÷ 60 × 100 = 75%
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: