Percentages and ratio · Ages 12–13

Percentage increase and decrease worksheet

Part of: Percentages (I)

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Percentages and ratio · Ages 12–13

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.20 increased by 50%: the increase is 20 × 50% = , and the new value = .
Fill in each blank
Answer:
2.220 decreased by 25%: the new value =
Answer:
3.280 increased by 50%: the increase is 280 × 50% = , and the new value = .
Fill in each blank
Answer:
4.Each box in the picture stands for the same amount, and the top row is 96. The bottom row is % more than the top, and it is .
Fill in each blank
Answer:
5.From 150 up to 240: the percentage increase = %
Answer:
6.Each box in the picture stands for the same amount, and the top row is 108. The bottom row is % more than the top, and it is .
Fill in each blank
Answer:
7.From 150 up to 195: the percentage increase = %
Answer:
8.A price goes up from $500 to $612. By what percentage did it increase?
Answer:

13.Tsz-hin gets $700 a month, and it rose 5% this year. Tsz-hin spends $170 a month and saves the rest. How much is saved a month now?
Working:
Answer:
14.May's weight went from 40 kg up to 44 kg. By what percentage did it increase?
Working:
Answer:
15.A hall had 2000 seats; with extra seats it has 2600. That is more, a % increase.
Fill in each blank
Working:
Answer:
16.A club had 1820 members last year and 35% more this year. That is more, members in all.
Fill in each blank
Working:
Answer:
17.An item sold for $60 last month and $120 this month. Which sentence is right?
- A. This month's price is 50% higher
- B. Last month's price was 50% lower
- C. Last month's price was 100% lower
- D. This month's price is 100% higher
Choose the right answer
Working:
Answer:
18.From 120 up to 144: what is the percentage increase? Put the steps in order.
- A. 0.2 × 100% = 20%
- B. 24 ÷ 120 = 0.2
- C. Increase = 144 − 120 = 24
Write the letters in the right order
Working:
Answer:

Show the answers and working

Percentage increase and decrease worksheet: Answers and working

1. 10, 30
50% is 50100: 20 × 50100 = 10, and 20 + 10 = 30.
2. 165
220 × 25% = 55, and 220 − 55 = 165; or in one step: down 25% leaves 0.75 of it, 220 × 0.75 = 165.
3. 140, 420
50% is 50100: 280 × 50100 = 140, and 280 + 140 = 420.
4. 100, 192
The top has 4 boxes and the bottom 8, 4 more: 4 ÷ 4 × 100% = 100%. A box is 96 ÷ 4 = 24, so the bottom row is 8 × 24 = 192.
5. 60
It went up by 240 − 150 = 90, and 90 ÷ 150 × 100% = 60%. The base is the original, 150.
6. 100, 216
The top has 4 boxes and the bottom 8, 4 more: 4 ÷ 4 × 100% = 100%. A box is 108 ÷ 4 = 27, so the bottom row is 8 × 27 = 216.
7. 30
It went up by 195 − 150 = 45, and 45 ÷ 150 × 100% = 30%. The base is the original, 150.
8. 22.4%
It went up by 612 − 500 = 112, and 112 ÷ 500 × 100% = 22.4%. A percentage can be a decimal.

9. C. 420
300 × 40% = 120, and 300 + 120 = 420. Or in one step: 300 × 1.4 = 420.
10. False
The increase is 10% of 300: 300 × 10% = 30, so the new value is 300 + 30 = 330.
11. D. 40%
It fell by 300 − 180 = 120, and 120 ÷ 300 × 100% = 40%.
12. C. 20%
The gap is 60. Going down from 300 to 240, the base is 300: 60 ÷ 300 × 100% = 20%.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 565 dollars
Now 700 × (1 + 5%) = 735 a month, so 735 − 170 = 565 is saved.
14. 10%
It rose 44 − 40 = 4 kg, taken on the original 40 kg: 4 ÷ 40 × 100% = 10%.
15. 600, 30
2600 − 2000 = 600, and 600 ÷ 2000 × 100% = 30%.
16. 637, 2457
1820 × 35% = 637 more, so 1820 + 637 = 2457 in all.
17. D. This month's price is 100% higher
The gap is 120 − 60. Higher than last month is on last month's price: 100%; lower than this month is on this month's: 50%.
18. C → B → A
First the increase, then divide by the original, 120, then turn it into a percentage.

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