Variation - Jamb Mathematics Past Questions and Answers

Question 16:

• JAMB 1980

If x varies inversely as y, and y varies directly as the square root of z, and z varies directly \(\frac{1}{w^2}\) write down in words how x varies with w

A. X varies inversely as w²
B. X varies directly as w²
C. X varies directly as w
D. X varies inversely as w
E. X varies directly as square root of w

Question 17:

• JAMB 1981

Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).

A. 81
B. 27
C. \(\frac{1}{9}\)
D. \(\frac{1}{27}\)
E. \(\frac{1}{81}\)

Question 18:

• JAMB 1981

Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).

A. 81
B. 27
C. \(\frac{1}{9}\)
D. \(\frac{1}{27}\)
E. \(\frac{1}{81}\)

Question 19:

• JAMB 1982

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

A. Y = Q + \(\frac{P}{x^2}\)
B. Y = Q + px
C. Y = \(\frac{PQ}{x^2}\)
D. Y = Q - \(\frac{P}{x^2}\)

Question 20:

• JAMB 1982

A variable y is inversely proportional to x², when y = 10, x = 2. What is y when x = 10?

A. 2
B. 4
C. 100
D. 0.4
E. 0.1