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WAEC Mathematics questions: Sets

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

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

  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· WAEC

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

    Explanation and discussion

  7. Question 7· Sets· WAEC

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

    Explanation and discussion

  8. Question 8· 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

  9. Question 9· 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

  11. Question 11· Sets· WAEC

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

    Explanation and discussion

  12. Question 12· Sets· WAEC

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

    Explanation and discussion

  14. Question 14· Sets· WAEC

    Which of these sets is empty?

    Explanation and discussion

  15. Question 15· Sets· WAEC

    U = {1, 2, 3, ..., 10} and P is the set of multiples of 3 in U. Find n(P′).

    Explanation and discussion

  16. Question 16· Sets· WAEC

    If P = {1, 3, 5, 7} and Q = {3, 6, 9}, find P ∪ Q.

    Explanation and discussion

  17. Question 17· Sets· WAEC

    If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, find A ∩ B.

    Explanation and discussion

  18. Question 18· Sets· WAEC

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

    Explanation and discussion

  19. Question 19· Sets· WAEC

    In a Venn diagram of sets A and B, the region outside both circles represents

    Explanation and discussion

  20. Question 20· Sets· WAEC

    A set has 5 elements. How many proper subsets does it have?

    Explanation and discussion

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