Decimals and percentages · Ages 11–12

Percentages, fractions and decimals worksheet

Part of: Percentages

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Decimals and percentages · Ages 11–12

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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.

13.Ka-yan got 56% of the questions right in a quiz game. Written as a decimal, what part of the questions did she get right?
Answer as a decimal
Working:
Answer:
14.Tsz-ching got 88% of the questions right in a quiz game. Written as a decimal, what part of the questions did she get right?
Answer as a decimal
Working:
Answer:
15.2425 of the pupils in a class wear glasses. What percentage of the class is that?
Working:
Answer:
16.50% of the people on a housing estate go to work by MTR. What fraction of the people is that?
Answer in simplest form
Working:
Answer:
17.10% of the people on a housing estate go to work by MTR. What fraction of the people is that?
Answer in simplest form
Working:
Answer:
18.825 of the pupils in a class wear glasses. What percentage of the class is that?
Working:
Answer:

Show the answers and working

Percentages, fractions and decimals worksheet: Answers and working

1. 113% = 1.13
113%: move the point two places left, 113 ÷ 100 = 1.13
2. 14 = 25%
14: scale it to a denominator of 100, multiplying the numerator and denominator by 25: 1 × 25 = 25, 4 × 25 = 100 → 25100 = 25%
3. 5% = 120
5% = 5100; simplify, dividing the numerator and denominator by their highest common factor 5: 5 ÷ 5 = 1, 100 ÷ 5 = 20 → 120
4. 8% = 0.08
8%: move the point two places left, filling in zeros at the front, 8 ÷ 100 = 0.08
5. 0.4 = 40%
0.4: move the point two places right, filling in a zero at the end, 0.4 × 100 = 40 → 40%
6. 82% = 0.82
82%: move the point two places left, 82 ÷ 100 = 0.82
7. 310 = 30%
310: scale it to a denominator of 100, multiplying the numerator and denominator by 10: 3 × 10 = 30, 10 × 10 = 100 → 30100 = 30%
8. 1920 = 95%
1920: scale it to a denominator of 100, multiplying the numerator and denominator by 5: 19 × 5 = 95, 20 × 5 = 100 → 95100 = 95%
9. 30% = 0.3
30%: move the point two places left, 30 ÷ 100 = 0.3
10. 15 = 20%
15: scale it to a denominator of 100, multiplying the numerator and denominator by 20: 1 × 20 = 20, 5 × 20 = 100 → 20100 = 20%
11. 12 = 50%
12: scale it to a denominator of 100, multiplying the numerator and denominator by 50: 1 × 50 = 50, 2 × 50 = 100 → 50100 = 50%
12. 141% = 1.41
141%: move the point two places left, 141 ÷ 100 = 1.41

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

13. Ka-yan got 56% of the questions right in a quiz game. Written as a decimal, what part of the questions did she get right? (Answer: 0.56)
56 ÷ 100 = 0.56
14. Tsz-ching got 88% of the questions right in a quiz game. Written as a decimal, what part of the questions did she get right? (Answer: 0.88)
88 ÷ 100 = 0.88
15. 2425 of the pupils in a class wear glasses. What percentage of the class is that? (Answer: 96%)
24 ÷ 25 × 100 = 96
16. 50% of the people on a housing estate go to work by MTR. What fraction of the people is that? (Answer: 12)
50 ÷ 100 = 12
17. 10% of the people on a housing estate go to work by MTR. What fraction of the people is that? (Answer: 110)
10 ÷ 100 = 110
18. 825 of the pupils in a class wear glasses. What percentage of the class is that? (Answer: 32%)
8 ÷ 25 × 100 = 32

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