Logical reasoning and variation

Question 1 of 10

R 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.

Question 2 of 10

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

Question 3 of 10

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

Question 4 of 10

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

Question 5 of 10

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

Question 6 of 10

The cost of a party varies partly as the number of guests. With 20 guests it costs GH¢700 and with 30 guests GH¢900. What is the fixed part of the cost?

Question 7 of 10

x varies jointly as y and z. x = 24 when y = 2 and z = 3. Find x when y = 5 and z = 4.

Question 8 of 10

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

Question 9 of 10

x varies inversely as the square of y, and x = 4 when y = 3. Find x when y = 2.

Question 10 of 10

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