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JAMB and WAEC Mathematics questions: Variation

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

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All topicsBinary operations · 35Coordinate geometry · 46Differentiation · 24Euclidean geometry · 51Fractions, decimals, approximations and percentages · 56Indices, logarithms and surds · 59Inequalities · 41Integration · 23Loci · 31Matrices and determinants · 25Mensuration · 53Number bases · 49Permutation and combination · 22Polynomials · 57Probability · 48Progressions · 48Sets · 46Statistics · 53Trigonometry · 52Variation · 42

  1. Question 1· Variation· JAMB

    F varies inversely as the square of d. If F = 36 when d = 2, find F when d = 3.

    Explanation and discussion

  2. Question 2· 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

  3. Question 3· Variation· WAEC

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

    Explanation and discussion

  4. Question 4· Variation· JAMB

    y varies inversely as x. If y = 6 when x = 4, find y when x = 8.

    Explanation and discussion

  5. Question 5· Variation· WAEC

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

    Explanation and discussion

  6. Question 6· Variation· WAEC

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

    Explanation and discussion

  7. Question 7· 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

  8. Question 8· Variation· JAMB

    The cost C of printing n copies is partly constant and partly varies as n. C = ₦500 when n = 10 and C = ₦800 when n = 20. Find C when n = 30.

    Explanation and discussion

  9. Question 9· Variation· WAEC

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

    Explanation and discussion

  10. Question 10· Variation· JAMB

    w varies inversely as the square of v. If v is doubled, w becomes

    Explanation and discussion

  11. Question 11· Variation· WAEC

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

    Explanation and discussion

  12. Question 12· Variation· JAMB

    y varies as the cube of x. If x is doubled, y is multiplied by

    Explanation and discussion

  13. Question 13· Variation· JAMB

    p varies inversely as the square root of q, and p = 10 when q = 16. Find p when q = 25.

    Explanation and discussion

  14. Question 14· Variation· WAEC

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

    Explanation and discussion

  15. Question 15· Variation· WAEC

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

    Explanation and discussion

  16. Question 16· Variation· WAEC

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

    Explanation and discussion

  17. Question 17· Variation· JAMB

    y varies directly as x, and y = 15 when x = 5. Find x when y = 24.

    Explanation and discussion

  18. Question 18· 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

  19. Question 19· Variation· JAMB

    x varies inversely as y. If y is doubled, x is

    Explanation and discussion

  20. Question 20· Variation· JAMB

    y varies directly as x and inversely as z. y = 6 when x = 4 and z = 2. Find y when x = 9 and z = 3.

    Explanation and discussion

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