Direct Proportion & Indirect Proportion

1. What is the definition of direct proportion?

a) When two variables increase or decrease together in a constant ratio

b) When two variables increase or decrease together in an equal ratio

c) When two variables are inversely related

d) When two variables are not related at all

Answer: a) When two variables increase or decrease together in a constant ratio

2. What is the equation for direct proportion?

a) y = kx

b) y = k/x

c) y = kx^2

d) y = k√x

Answer: a) y = kx

3. What is the value of k in the equation y = kx when x = 3 and y = 15?

a) 2

b) 3

c) 4

d) 5

Answer: d) 5

4. If a car travels 150 miles in 3 hours, how long will it take to travel 300 miles?

a) 3 hours

b) 6 hours

c) 9 hours

d) 12 hours

Answer: b) 6 hours

5. If 6 workers can complete a project in 8 days, how many days will it take 12 workers to complete the same project?

a) 2 days

b) 4 days

c) 6 days

d) 8 days

Answer: b) 4 days

6. Which of the following is an example of direct proportion?

a) The faster you drive, the longer it takes to reach your destination.

b) The more you exercise, the less tired you feel.

c) The more money you make, the more taxes you pay.

d) The more hours you work, the more money you earn.

Answer: d) The more hours you work, the more money you earn.

7. What is the definition of inverse proportion?

a) When two variables increase or decrease together in a constant ratio

b) When two variables increase or decrease together in an equal ratio

c) When two variables are inversely related

d) When two variables are not related at all

Answer: c) When two variables are inversely related

8. What is the equation for inverse proportion?

a) y = kx

b) y = k/x

c) y = kx^2

d) y = k√x

Answer: b) y = k/x

9. What is the value of k in the equation y = k/x when x = 4 and y = 12?

a) 3

b) 4

c) 9

d) 12

Answer: c) 9

10. If 8 workers can complete a project in 12 days, how long will it take 6 workers to complete the same project?

a) 12 days

b) 16 days

c) 18 days

d) 24 days

Answer: b) 16 days

11. If it takes 2 hours to fill a swimming pool with a 4-inch hose, how long will it take to fill the same pool with a 2-inch hose?

a) 1 hour

b) 2 hours

c) 4 hours

d) 8 hours

Answer: d) 8 hours

12. Which of the following is an example of inverse proportion?

a) The more you eat, the more you weigh.

b) The more you study, the better your grades.

c) The more people in a room, the louder the noise.

d) The more you exercise, the less body fat you have.

Answer: d) The more you exercise, the less body fat you have.