WAEC Mathematics questions: Variation

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

All topics Binary operations · 13 Coordinate geometry · 20 Euclidean geometry · 26 Fractions, decimals, approximations and percentages · 29 Indices, logarithms and surds · 29 Inequalities · 17 Loci · 12 Mensuration · 27 Number bases · 24 Polynomials · 29 Probability · 23 Progressions · 22 Sets · 22 Statistics · 26 Trigonometry · 26 Variation · 19

Question 1· Variation· WAEC
The cost of feeding students varies directly as their number. It costs ₦45,000 to feed 30 students. Find the cost for 42 students.
Explanation and discussion
Question 2· Variation· WAEC
F varies inversely as the square of d, and F = 20 when d = 3. Find F when d = 6.
Explanation and discussion
Question 3· Variation· WAEC
If y varies inversely as x, what happens to y when x is doubled?
Explanation and discussion
Question 4· Variation· WAEC
y varies inversely as the square of x, and y = 4 when x = 3. Find y when x = 6.
Explanation and discussion
Question 5· Variation· WAEC
T varies inversely as the square root of L. If T = 6 when L = 16, find T when L = 36.
Explanation and discussion
Question 6· Variation· WAEC
P varies inversely as Q. If P = 6 when Q = 4, find P when Q = 8.
Explanation and discussion
Question 7· Variation· WAEC
If y ∝ x and y = 15 when x = 5, what is y when x = 8?
Explanation and discussion
Question 8· Variation· WAEC
y varies directly as x², and y = 18 when x = 3. Find y when x = 4.
Explanation and discussion
Question 9· Variation· WAEC
y varies as the square of x. If y = 18 when x = 3, find y when x = 5.
Explanation and discussion
Question 10· Variation· WAEC
A varies as the square of r, and A = 50 when r = 5. Find A when r = 8.
Explanation and discussion
Question 11· Variation· WAEC
y varies jointly as x and the square of z, and y = 48 when x = 3 and z = 2. Find y when x = 2 and z = 3.
Explanation and discussion
Question 12· Variation· WAEC
M is inversely proportional to N. When N = 10, M = 3. Find M when N = 5.
Explanation and discussion
Question 13· 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 14· 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 15· Variation· WAEC
y varies directly as x. If y = 12 when x = 3, find y when x = 5.
Explanation and discussion
Question 16· Variation· WAEC
y varies directly as x, and y = 21 when x = 7. Find x when y = 33.
Explanation and discussion
Question 17· 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
Question 18· Variation· WAEC
P varies inversely as V, and P = 9 when V = 4. Find V when P = 12.
Explanation and discussion
Question 19· Variation· WAEC
y varies directly as x, and y = 15 when x = 6. Find y when x = 10.
Explanation and discussion

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WAEC Mathematics questions: Variation

The cost of feeding students varies directly as their number. It costs ₦45,000 to feed 30 students. Find the cost for 42 students.

F varies inversely as the square of d, and F = 20 when d = 3. Find F when d = 6.

If y varies inversely as x, what happens to y when x is doubled?

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

T varies inversely as the square root of L. If T = 6 when L = 16, find T when L = 36.

P varies inversely as Q. If P = 6 when Q = 4, find P when Q = 8.

If y ∝ x and y = 15 when x = 5, what is y when x = 8?

y varies directly as x², and y = 18 when x = 3. Find y when x = 4.

y varies as the square of x. If y = 18 when x = 3, find y when x = 5.

A varies as the square of r, and A = 50 when r = 5. Find A when r = 8.

y varies jointly as x and the square of z, and y = 48 when x = 3 and z = 2. Find y when x = 2 and z = 3.

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

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

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

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.

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.

P varies inversely as V, and P = 9 when V = 4. Find V when P = 12.

y varies directly as x, and y = 15 when x = 6. Find y when x = 10.