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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 701· Sets· JAMB

    Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?

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    Answer: C. 7

    Explanation and discussion

  2. Question 702· Sets· JAMB

    U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).

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    Answer: D. 4

    Explanation and discussion

  3. Question 703· Sets· JAMB

    A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).

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    Answer: C. 8

    Explanation and discussion

  4. Question 704· Sets· WAEC

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

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    Answer: A. {2, 4}

    Explanation and discussion

  5. Question 705· Sets· JAMB

    n(U) = 40, n(A) = 24 and n(B) = 18. Every element of U is in A or B. Find n(A ∩ B).

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    Answer: A. 2

    Explanation and discussion

  6. Question 706· Sets· JAMB

    If A = {x : x is a prime number less than 10}, find n(A).

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    Answer: D. 4

    Explanation and discussion

  7. Question 707· Sets· JAMB

    U = {1, 2, 3, …, 10} and A is the set of even numbers in U. Find n(A′).

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    Answer: C. 5

    Explanation and discussion

  8. Question 708· Sets· WAEC

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

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    Answer: D. 3

    Explanation and discussion

  9. Question 709· Sets· WAEC

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

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    Answer: C. (A ∪ B)′

    Explanation and discussion

  10. Question 710· Sets· JAMB

    If P = {x : 2 < x ≤ 9, x is a prime number}, list the elements of P.

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    Answer: A. {3, 5, 7}

    Explanation and discussion

  11. Question 711· Sets· WAEC

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

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    Answer: C. 31

    Explanation and discussion

  12. Question 712· Sets· JAMB

    If A = {1, 2, 3, 4} and B = {3, 4, 5}, find A ∩ B′ (the elements of A that are not in B).

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    Answer: B. {1, 2}

    Explanation and discussion

  13. Question 713· Sets· WAEC

    A is a subset of B, n(A) = 7 and n(B) = 15. Find n(A ∪ B).

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    Answer: D. 15

    Explanation and discussion

  14. Question 714· Sets· WAEC

    If U = {a, b, c, d, e} and A = {a, c, e}, find A′.

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    Answer: A. {b, d}

    Explanation and discussion

  18. Question 718· Statistics· JAMB

    A cumulative frequency curve is called

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    Answer: A. an ogive

    Explanation and discussion

  19. Question 719· Statistics· JAMB

    The mean of five numbers is 8. Four of them are 6, 7, 9 and 10. Find the fifth number.

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    Answer: D. 8

    Explanation and discussion

  20. Question 720· Statistics· WAEC

    Find the range of the numbers 15, 9, 23, 11, 18.

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    Answer: C. 14

    Explanation and discussion

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