Core Mathematics

1y varies inversely as the square of x. When x = 2, y = 9. Find y when x = 3.

2If p is "It is hot" and q is "I swim", p ∧ q means

3y = a + bx. When x = 1, y = 5, and when x = 3, y = 9. Find y when x = 5.

4R varies directly as S and inversely as √T. If R = 6 when S = 3 and T = 16, find R when S = 5 and T = 25.

5p varies directly as the square of q, and p = 18 when q = 3. Find p when q = 5.

6If y ∝ x² and y = 18 when x = 3, find y when x = 4.

7y varies inversely as x, and y = 6 when x = 4. Find y when x = 3.

8A statement that is always true, whatever the truth values of its parts, is a

9The converse of "If it rains, the ground is wet" is

10The time to complete a job varies inversely as the number of workers. 12 workers take 15 days. How many workers are needed to finish in 9 days?