Core Mathematics

Question 1

1If y varies directly as x and inversely as z, then

Medium

A. y = kx/z B. y = k/(xz) C. y = kxz D. y = kz/x

Question 2

2y varies directly as x. When x = 2, y = 6. Find y when x = 9.

Easy

A. 54 B. 27 C. 0.67 D. 12

Question 3

3y varies directly as x. When x = 4, y = 44. Find y when x = 7.

Easy

A. 308 B. 77 C. 6.29 D. 18

Question 4

4Partial variation is of the form

Hard

A. y = k/x B. y = kx C. y = kx² D. y = a + bx

Question 5

5y varies directly as x. When x = 5, y = 30. Find y when x = 12.

Easy

A. 72 B. 18 C. 360 D. 2.5

Question 6

6y varies as the square of x. When x = 3, y = 27. Find y when x = 3.

Medium

A. 9 B. 54 C. 27 D. 28

Question 7

7If y = kx and y = 48 when x = 8, the constant k = ___.

Easy

Your answer (fill in the blank)

Question 8

8y varies directly as x. When x = 5, y = 50. Find y when x = 11.

Easy

A. 21 B. 110 C. 550 D. 4.55

Question 9

9y varies as the square of x. When x = 5, y = 225. Find y when x = 3.

Medium

A. 27 B. 162 C. 135 D. 81

Question 10

10If y varies as x², doubling x doubles y.

Medium

A. True B. False