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JAMB and WAEC Mathematics questions: Sets

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

AllJAMBWAEC
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· Sets· WAEC

    In a class of 45 students, 28 like Mathematics, 22 like English and 9 like both. How many like neither?

    Explanation and discussion

  2. Question 2· Sets· WAEC

    In a class of 40 students, 25 offer Biology and 20 offer Chemistry. If every student offers at least one of the two subjects, how many offer both?

    Explanation and discussion

  4. Question 4· Sets· JAMB

    If A is a subset of B, then A ∩ B is equal to

    Explanation and discussion

  5. Question 5· Sets· WAEC

    If U = {1, 2, …, 10} and P = {prime numbers in U}, then n(P′) is

    Explanation and discussion

  6. Question 6· Sets· JAMB

    In a class of 40 students, 25 offer Physics, 22 offer Chemistry and 5 offer neither. How many offer both?

    Explanation and discussion

  8. Question 8· Sets· JAMB

    If A ∪ B = A, then

    Explanation and discussion

  12. Question 12· Sets· WAEC

    If n(A) = 15, n(B) = 12 and n(A ∩ B) = 5, find n(A ∪ B).

    Explanation and discussion

  13. Question 13· Sets· JAMB

    U = {1, 2, ..., 12}, X is the set of even numbers and Y the set of multiples of 3. Find n(X ∩ Y).

    Explanation and discussion

  14. Question 14· Sets· WAEC

    In a class of 40 students, 25 offer Biology, 20 offer Chemistry and 8 offer neither. How many offer both subjects?

    Explanation and discussion

  15. Question 15· Sets· WAEC

    In a survey of 50 traders, 30 sell rice and 28 sell beans; every trader sells at least one. How many sell both?

    Explanation and discussion

  17. Question 17· Sets· JAMB

    If n(A) = 12, n(B) = 9 and n(A ∩ B) = 4, find n(A ∪ B).

    Explanation and discussion

  18. Question 18· Sets· JAMB

    The set {x : x² = −1, x is a real number} is

    Explanation and discussion

  19. Question 19· Sets· WAEC

    If A = {2, 4, 6, 8} and B = {4, 8, 12}, find A ∩ B.

    Explanation and discussion

  20. Question 20· Sets· WAEC

    If P = {a, b, c, d, e} and Q = {c, e, g, h}, find P ∪ Q.

    Explanation and discussion

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