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JAMB and WAEC Mathematics questions

861 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 681· 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).

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    Answer: A. 2

    Explanation and discussion

  2. Question 682· Sets· WAEC

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

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    Answer: B. 13

    Explanation and discussion

  3. Question 683· 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?

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    Answer: D. 8

    Explanation and discussion

  5. Question 685· Sets· JAMB

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

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    Answer: B. 17

    Explanation and discussion

  6. Question 686· Sets· JAMB

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

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    Answer: D. the empty set

    Explanation and discussion

  7. Question 687· Sets· WAEC

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

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    Answer: B. {4, 8}

    Explanation and discussion

  8. Question 688· Sets· WAEC

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

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    Answer: D. {a, b, c, d, e, g, h}

    Explanation and discussion

  9. Question 689· Sets· JAMB

    In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?

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    Answer: A. 5

    Explanation and discussion

  11. Question 691· Sets· JAMB

    Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?

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    Answer: A. 10

    Explanation and discussion

  12. Question 692· Sets· JAMB

    The complement of A′ (that is, (A′)′) is

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    Answer: C. A

    Explanation and discussion

  14. Question 694· Sets· JAMB

    If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).

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    Answer: A. 8

    Explanation and discussion

  15. Question 695· Sets· WAEC

    Which of these sets is empty?

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    Answer: C. {x : x is an even prime number greater than 2}

    Explanation and discussion

  16. Question 696· Sets· WAEC

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

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    Answer: A. 7

    Explanation and discussion

  17. Question 697· Sets· JAMB

    In a class, 18 students study French, 15 study Hausa, 6 study both and 3 study neither. How many students are in the class?

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    Answer: C. 30

    Explanation and discussion

  18. Question 698· Sets· JAMB

    How many proper subsets has a set with 5 elements?

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    Answer: D. 31

    Explanation and discussion

  19. Question 699· Sets· WAEC

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

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    Answer: C. {1, 3, 5, 6, 7, 9}

    Explanation and discussion

  20. Question 700· Sets· JAMB

    If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.

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    Answer: C. {4, 8}

    Explanation and discussion

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