Decimals and percentages · Ages 11–12
Percentages worksheet
Covers: What a percentage is, Percentages, fractions and decimals, Ordering fractions, decimals and percentages, Percentages of an amount, Percentage increase and decrease, Discounts, Using percentages together, Service charges, Simple interest
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Percentages worksheet
Decimals and percentages · Ages 11–12
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.The big square is split into 100 equal squares. The shaded part is % of the whole.
Answer:
2.127% = ?
Answer as a decimal
Answer:
3.0.35 = ?%
Answer:
4.10% of 240
Answer:
5.Increase 170 by 50%. The result is .
Answer:
6.An item's price is $380, and it is sold at 25% off. What is the sale price?
Answer:
7.$800, 5% off: $?
Answer:
8.A bill comes to $160, and the service charge on it is $24. What is the rate, as a percentage?
Answer:
9.$200 is put in a bank at 1% a year. How much interest does it earn in one year?
Answer:
Part B: Choose, or true or false (2 marks each)
10.What does “49%” mean?
- A. 100 out of every 49
- B. 49 out of every 100
- C. 49 out of every 10
- D. 1 out of 49
Choose the right answer
Answer:
11.Which number is the smallest?
- A. 45%
- B. 0.53
- C. 0.47
- D. 1225
Choose the right answer
Answer:
12.1125 is greater than 0.4.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.On a sheet of 100 squares, Ka-yan colours 19 squares red and 16 blue, and leaves the rest white. What percentage of the sheet is white?
Working:
Answer:
14.Of a sports club's members, 1325 like swimming, 0.59 like running and 60% like cycling (some like more than one). The most liked and the least liked differ by what percentage of all members?
Working:
Answer:
15.Tsz-ching's dad earns $33,000 a month, and this year he gets a 2% pay rise. How much more does he earn each month?
Working:
Answer:
16.A computer is priced at $3,300. It is 10% off, and members get a further 10% off the reduced price. How much does a member pay?
Working:
Answer:
17.A Chinese restaurant raises its service charge from 5% to 8%. The bill for Ka-yan's family banquet is $8,000. How much more does it cost with the new charge?
Working:
Answer:
18.Chi-keung's grandpa wants $1,120 of interest a year from the bank. At 4% a year, simple interest, how much must he put in?
Working:
Answer:
Show the answers and working
Percentages worksheet: Answers and working
Part A: Working out and filling in
1. 65
Count the shaded squares. However many out of 100, that's the percentage.
65 of the 100 squares are shaded: 65100 = 65%.
2. 127% = 1.27
127%: move the point two places left, 127 ÷ 100 = 1.27
3. 0.35 = 35%
0.35: move the point two places right, 0.35 × 100 = 35 → 35%
4. 10% of 240 = 24
10% of 240: 10% is 240 ÷ 10 = 24
5. 255
After going up 50%, what percentage of the number is it? 100% + 50%.
Up 50% means 150% of the number: 170 × 150100 = 255.
6. 285 dollars
At 25% off, what percentage of 380 do you pay? Then work it out.
25% off means paying 75%: 380 × 75100 = 285.
7. $800, 5% off: $760
5% off leaves 95% of the price: 800 × 95 = 76000, 76000 ÷ 100 = 760
8. 15%
Rate = charge ÷ bill. Work out 24 ÷ 160, then turn it into a percentage.
Rate = charge ÷ bill: 24 ÷ 160 × 100 = 15, so 15%.
9. 2 dollars
A year's interest is 1% of 200. First think what 1% of 200 is.
Interest = money × yearly rate: 200 × 1100 = 2, so a year's interest is $2.
Part B: Choose, or true or false
10. B. 49 out of every 100
The % sign means “out of every 100”.
49% = 49100: the whole in 100 equal parts, 49 of them.
11. A. 45%
Make them all percentages: turn the fraction into hundredths, and multiply the decimals by 100.
All as percentages: 1225 = 48%, 0.47 = 47%, 0.53 = 53%, and 45%. The smallest is 45%.
12. True
Turn 1125 and 0.4 both into percentages, then compare.
1125 = 44100 = 44% and 0.4 = 40%: compare 44 with 40.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 65%
Find the coloured squares first, 19 + 16. How many of the 100 are left?
19 + 16 = 35 are coloured; 100 − 35 = 65, so 65%.
14. 8%
Turn 1325 and 0.59 into percentages, then find the biggest and smallest along with 60%.
1325 = 52%, 0.59 = 59%, and 60%: 60% − 52% = 8%.
15. 660 dollars
The question asks how much more, not the new pay. Find 2% of 33000.
The rise is 2% of the old pay: 33000 × 2100 = 660.
16. 2,673 dollars
First find the price at 10% off.
The members' 10% off is taken from that reduced price, not the original.
First 10% off: 3300 × 100 − 10100 = 2970; then 10% off 2970: 2970 × 100 − 10100 = 2673.
17. 240 dollars
How many percentage points higher is the rate? Work out 8% − 5%, then apply it to 8000.
The rate is 8% − 5% = 3% higher: 8000 × 3100 = 240.
18. 28,000 dollars
The $1,120 a year is 4% of the money put in. Work back from there.
A year's interest is 4% of the money: money = 1120 ÷ 4 × 100 = 28000.
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