Percentages, Ratios and Fractions

1. If a population grows from 100 to 125, what is the percentage increase?

• A. 20%
• B. 25% ✓
• C. 30%
• D. 35%

💡 The increase of 25 out of 100 represents a 25% increase.

2. What is 1/8 as a percentage?

• A. 8%
• B. 10%
• C. 12.5% ✓
• D. 15%

💡 One eighth equals 12.5%.

3. What is 25% of 200?

• A. 25
• B. 40
• C. 50 ✓
• D. 60

💡 25% of 200 is 0.25 x 200 = 50.

4. What is 10% of 250?

• A. 15
• B. 20
• C. 25 ✓
• D. 30

💡 10% of 250 is 0.10 x 250 = 25.

5. Express the ratio 15:25 in simplest form.

• A. 2:3
• B. 3:5 ✓
• C. 4:5
• D. 1:2

💡 Dividing both numbers by 5 gives the simplified ratio 3:5.

6. Convert 0.6 to a fraction.

• A. 1/2
• B. 3/5 ✓
• C. 2/3
• D. 3/4

💡 0.6 equals 6/10, which simplifies to 3/5.

7. What is 2/3 + 1/6?

• A. 1/2
• B. 3/6
• C. 5/6 ✓
• D. 1

💡 Converting 2/3 to 4/6 and adding 1/6 gives 5/6.

8. What is 75% of 80?

• A. 55
• B. 60 ✓
• C. 65
• D. 70

💡 75% of 80 is 0.75 x 80 = 60.

9. If a shirt costs $40 and is 20% off, what is the sale price?

• A. 30
• B. 32 ✓
• C. 34
• D. 36

💡 20% of 40 is 8, so the sale price is 40 - 8 = 32.

10. What is 30% of 90?

• A. 24
• B. 27 ✓
• C. 30
• D. 33

💡 30% of 90 is 0.30 x 90 = 27.

11. What is 5/10 simplified?

• A. 1/5
• B. 1/2 ✓
• C. 2/5
• D. 1/4

💡 5/10 simplifies to 1/2 by dividing both numbers by 5.

12. What is the ratio of 6 to 8 in simplest form?

• A. 2:3
• B. 3:4 ✓
• C. 4:5
• D. 5:6

💡 Dividing both numbers by 2 gives the simplified ratio 3:4.

13. If 40% of a number is 20, what is the number?

• A. 40
• B. 50 ✓
• C. 60
• D. 70

💡 Since 40% equals 20, the whole number is 20 / 0.40 = 50.

14. What is 3/4 as a percentage?

• A. 50%
• B. 65%
• C. 75% ✓
• D. 80%

💡 Three quarters equals 75%.

15. What is 150% of 60?

• A. 80
• B. 85
• C. 90 ✓
• D. 95

💡 150% of 60 is 1.5 x 60 = 90.