# Unit Quiz: Direct and Inverse Proportion

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## Q1.

### Options:

- A
- B
- C

### Correct Answer:

- B

## Q2.

### Options:

- A
- B
- C

### Correct Answer:

- A

## Q3.

### Options:

- x = 60 and z = 3
- x = 160 and z = 9
- x = 10 and z = 81

### Correct Answer:

- x = 160 and z = 9

## Q4. An orange costs 40 pence. How much do 8 oranges cost?

### Options:

- 5 pence
- 20 pence
- £3.20
- £4.80

### Correct Answer:

- £3.20

## Q5.

### Options:

- A
- B
- C

### Correct Answer:

- B

## Q6.

### Options:

- A
- B
- C

### Correct Answer:

- C

## Q7. 1. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for y in terms of x.

### Options:

- A
- B
- C
- D

### Correct Answer:

- B

## Q8. 2. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for x in terms of z²

### Options:

- A
- B
- C
- D

### Correct Answer:

- C

## Q9. 3. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find the value of y when z = 4

### Options:

- A
- B
- C
- D

### Correct Answer:

- A

## Q10. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.

### Options:

- A
- B
- C
- D

### Correct Answer:

- D

## Q11. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?

### Options:

- A
- B
- C
- D

### Correct Answer:

- A

## Q12. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?

### Options:

- A
- B
- C
- D

### Correct Answer:

- C

## Q13. y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?

### Options:

- A
- B
- C
- D

### Correct Answer:

- D