Decimals and percentages · Ages 9–10

Starting percentages worksheet

Part of: Decimals

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Decimals and percentages · Ages 9–10

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.

1.65100 = %
Answer:
2.The big square is cut into 100 equal squares. What percentage is shaded?
Answer:
3.45100 = %
Answer:
4.25% of 120 is .
Answer:
5.50% of 108 is .
Answer:
6.50% of 360 is , 25% is and 10% is .
Fill in each blank
Answer:
7.50% of 200 is , 25% is and 10% is .
Fill in each blank
Answer:

8.What is 110 as a percentage?
- A. 50%
- B. 25%
- C. 10%
- D. 75%
Choose the right answer
Answer:
9.What is 34 as a percentage?
- A. 75%
- B. 50%
- C. 10%
- D. 25%
Choose the right answer
Answer:
10.The big square is cut into 100 equal squares. 45% of it is shaded.
True or false?
Answer:
11.Which hundred square has 20% shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
12.The big square is cut into 100 equal squares. 27% of it is shaded.
True or false?
Answer:

13.A rope is 450 m long, and 10% of it is cut off. How many metres are cut off?
Working:
Answer:
14.A box holds 52 chocolates, and Tsz-hin eats 25% of them. How many chocolates does Tsz-hin eat?
Working:
Answer:
15.A cinema has 100 seats, and 1 of them are taken. What percentage of the seats are taken?
Working:
Answer:
16.A T-shirt was $70, and now there is 10% off. How many dollars does it cost now?
Working:
Answer:
17.Tsz-hin's phone is fully charged at 100%. Watching videos uses 18% of the charge. What percentage is left?
Working:
Answer:
18.A T-shirt was $300, and now there is 10% off. How many dollars does it cost now?
Working:
Answer:

Show the answers and working

Starting percentages worksheet: Answers and working

1. 65
The denominator is already 100, so the percentage is how many parts of the 100. Look at the numerator.
65 out of every 100 is 65%.
2. 86%
A percentage is so many out of 100. Count how many of the 100 squares are shaded.
86 of the 100 squares are shaded: 86%.
3. 45
The denominator is already 100, so the percentage is how many parts of the 100. Look at the numerator.
45 out of every 100 is 45%.
4. 30
What fraction is 25%? Once you know, share 120 into that many equal parts.
25% is 14 of 120: 120 ÷ 4 = 30.
5. 54
What fraction is 50%? Once you know, share 108 into that many equal parts.
50% is 12 of 108: 108 ÷ 2 = 54.
6. 180, 90, 36
50% is a half, 25% a quarter, 10% a tenth. Start with half of 360.
50% is a half: 360 ÷ 2 = 180; 25% is half of that: 180 ÷ 2 = 90; 10% is a tenth: 360 ÷ 10 = 36.
7. 100, 50, 20
50% is a half, 25% a quarter, 10% a tenth. Start with half of 200.
50% is a half: 200 ÷ 2 = 100; 25% is half of that: 100 ÷ 2 = 50; 10% is a tenth: 200 ÷ 10 = 20.

8. C. 10%
A percentage is a fraction out of 100. What do you multiply the numerator and denominator of 110 by to make the denominator 100?
Write 110 out of 100: 110 = 10100 = 10%.
9. A. 75%
A percentage is a fraction out of 100. What do you multiply the numerator and denominator of 34 by to make the denominator 100?
Write 34 out of 100: 34 = 75100 = 75%.
10. False
Count the shaded squares out of the 100, then compare with 45%.
55 squares are shaded, 55%; the 45 unshaded are 45%.
11. A
20% means 20 of the 100 squares shaded. Count the shaded squares in each picture.
20% is 20 of the 100 squares shaded.
12. True
Count the shaded squares out of the 100, then compare with 27%.
27 squares are shaded, 27%; the 73 unshaded are 73%.

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

13. 45 m
What fraction is 10%? Then share the 450 m into that many equal parts.
10% is 110: 450 ÷ 10 = 45 m.
14. 13 chocolates
25% is a quarter. Share the 52 chocolates into 4 equal parts: Tsz-hin eats one part.
25% is a quarter: 52 ÷ 4 = 13.
15. 1%
There are exactly 100 seats, so the percentage is how many out of the 100.
1 out of 100 is 1%.
16. 63 dollars
First find the discount: 10% is a tenth, so what is a tenth of 70?
Then take the discount off the $70.
10% is a tenth: 70 ÷ 10 = 7 off, so it costs 70 − 7 = $63.
17. 82%
Full is 100%. 18% has been used, so take that away from 100%.
The whole is 100%: 100 − 18 = 82.
18. 270 dollars
First find the discount: 10% is a tenth, so what is a tenth of 300?
Then take the discount off the $300.
10% is a tenth: 300 ÷ 10 = 30 off, so it costs 300 − 30 = $270.

Numsprite · numsprite.com/en/worksheets/decimals/introduction-to-percentages