JAMB and WAEC Mathematics questions: Variation

42 questions with answers and explanations. Tap an option to check yourself.

All JAMB WAEC

Question 21· Variation· JAMB
z varies directly as x and inversely as y. If z = 6 when x = 3 and y = 2, find z when x = 4 and y = 8.
Explanation and discussion
Question 22· Variation· JAMB
P varies jointly as Q and R. If P = 24 when Q = 2 and R = 3, find P when Q = 5 and R = 4.
Explanation and discussion
Question 23· Variation· JAMB
The area of a circle varies as the square of its radius. If the radius is tripled, the area is multiplied by
Explanation and discussion
Question 24· Variation· JAMB
y varies inversely as x, and y = 3 when x = 4. Find x when y = 6.
Explanation and discussion
Question 25· Variation· JAMB
y varies as the square root of x, and y = 6 when x = 9. Find y when x = 25.
Explanation and discussion
Question 26· Variation· WAEC
M is inversely proportional to N. When N = 10, M = 3. Find M when N = 5.
Explanation and discussion
Question 27· Variation· JAMB
P varies directly as Q. If P = 20 when Q = 4, find P when Q = 7.
Explanation and discussion
Question 28· Variation· JAMB
The cost of a metal ball varies as the cube of its radius. A ball of radius 2 cm costs ₦400. Find the cost of one of radius 3 cm.
Explanation and discussion
Question 29· Variation· WAEC
z varies jointly as x and y, and z = 24 when x = 2 and y = 3. Find z when x = 4 and y = 5.
Explanation and discussion
Question 30· Variation· JAMB
y varies directly as x, and y = 2.5 when x = 10. Which equation connects y and x?
Explanation and discussion
Question 31· Variation· JAMB
y varies inversely as the square of x. If y = 4 when x = 3, find y when x = 6.
Explanation and discussion
Question 32· Variation· JAMB
V varies jointly as r² and h. V = 40 when r = 2 and h = 5. Find V when r = 3 and h = 4.
Explanation and discussion
Question 33· Variation· WAEC
T varies directly as the square root of L, and T = 6 when L = 9. Find T when L = 25.
Explanation and discussion
Question 34· Variation· JAMB
C is partly constant and partly varies as n. C = 500 when n = 10 and C = 800 when n = 20. Find the constant part.
Explanation and discussion
Question 35· Variation· JAMB
T varies as the square root of L. If T = 2 when L = 4, find T when L = 16.
Explanation and discussion
Question 36· Variation· WAEC
y varies directly as x. If y = 12 when x = 3, find y when x = 5.
Explanation and discussion
Question 37· Variation· WAEC
y varies directly as x, and y = 21 when x = 7. Find x when y = 33.
Explanation and discussion
Question 38· Variation· JAMB
y varies directly as x². If y = 12 when x = 2, find y when x = 3.
Explanation and discussion
Question 39· Variation· JAMB
The time to complete a job varies inversely as the number of workers. If 6 workers take 10 days, how long will 15 workers take?
Explanation and discussion
Question 40· Variation· WAEC
w varies jointly as u and the square of v. If w = 36 when u = 2 and v = 3, find w when u = 5 and v = 2.
Explanation and discussion

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JAMB and WAEC Mathematics questions: Variation

z varies directly as x and inversely as y. If z = 6 when x = 3 and y = 2, find z when x = 4 and y = 8.

P varies jointly as Q and R. If P = 24 when Q = 2 and R = 3, find P when Q = 5 and R = 4.

The area of a circle varies as the square of its radius. If the radius is tripled, the area is multiplied by

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

y varies as the square root of x, and y = 6 when x = 9. Find y when x = 25.

M is inversely proportional to N. When N = 10, M = 3. Find M when N = 5.

P varies directly as Q. If P = 20 when Q = 4, find P when Q = 7.

The cost of a metal ball varies as the cube of its radius. A ball of radius 2 cm costs ₦400. Find the cost of one of radius 3 cm.

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

y varies directly as x, and y = 2.5 when x = 10. Which equation connects y and x?

y varies inversely as the square of x. If y = 4 when x = 3, find y when x = 6.

V varies jointly as r² and h. V = 40 when r = 2 and h = 5. Find V when r = 3 and h = 4.

T varies directly as the square root of L, and T = 6 when L = 9. Find T when L = 25.

C is partly constant and partly varies as n. C = 500 when n = 10 and C = 800 when n = 20. Find the constant part.

T varies as the square root of L. If T = 2 when L = 4, find T when L = 16.

y varies directly as x. If y = 12 when x = 3, find y when x = 5.

y varies directly as x, and y = 21 when x = 7. Find x when y = 33.

y varies directly as x². If y = 12 when x = 2, find y when x = 3.

The time to complete a job varies inversely as the number of workers. If 6 workers take 10 days, how long will 15 workers take?

w varies jointly as u and the square of v. If w = 36 when u = 2 and v = 3, find w when u = 5 and v = 2.