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Fractions and Percentages Practice

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Fractions and Percentages Practice

Fractions and Percentages Practice

Fractions and percentages illustration

🔢 Part 1: Converting Fractions to Percentages

1. Convert these fractions to percentages:

a) 1/2 = _______%

b) 1/4 = _______%

c) 3/4 = _______%

d) 1/5 = _______%

e) 2/5 = _______%

f) 3/5 = _______%

2. Convert these fractions to percentages (show your working):

a) 7/10 = _______%

b) 3/10 = _______%

c) 9/10 = _______%

3. Convert these more challenging fractions to percentages:

a) 1/8 = _______%

b) 3/8 = _______%

c) 7/20 = _______%

d) 13/20 = _______%

📊 Part 2: Converting Percentages to Fractions

4. Convert these percentages to fractions in their simplest form:

a) 50% = _______

b) 25% = _______

c) 75% = _______

d) 20% = _______

e) 40% = _______

f) 60% = _______

5. Convert these percentages to fractions (show your working):

a) 30% = _______

b) 70% = _______

c) 90% = _______

6. Convert these trickier percentages to fractions:

a) 12.5% = _______

b) 37.5% = _______

c) 35% = _______

d) 65% = _______

🎯 Part 3: Multiple Choice Practice

7. Which fraction is equivalent to 80%?

8/10

4/5

8/100

Both A and B

8. What percentage is equivalent to 3/8?

38%

37.5%

35%

40%

9. Which of these are equivalent to 1/2? (Tick all that apply)

50%

0.5

5/10

25%

💰 Part 4: Finding Percentages of Amounts

10. Calculate these percentages:

a) 10% of 30 = _______

b) 10% of 50 = _______

c) 10% of 80 = _______

d) 20% of 40 = _______

e) 25% of 60 = _______

f) 50% of 24 = _______

11. Work out these percentage calculations (show your working):

a) 15% of 40 = _______

b) 30% of 70 = _______

c) 75% of 48 = _______

12. Real-life percentage problems:

a) In a class of 32 pupils, 25% wear glasses. How many pupils wear glasses? _______

b) A jumper costs £45. In a sale, it has 20% off. How much money is saved? £_______

c) A football team scored 18 goals out of 24 attempts. What percentage of their shots were goals? _______%

🧠 Part 5: Challenge Questions

13. Match the equivalent values:
1. 3/4
2. 2/5
3. 7/10
4. 1/8
A. 70%
B. 12.5%
C. 40%
D. 75%
14. Problem solving:

Sarah spent 3/5 of her pocket money on sweets and 25% on a magazine. What percentage of her money did she spend altogether?

15. Extension challenge:

If 40% of a number is 32, what is the whole number?

Answer: _______

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