WAEC Mathematics questions

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

1. Question 281· Sets· WAEC

   How many elements has the power set of {x, y, z}?

   • A9
   • B6
   • C3
   • D8

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   Answer: D. 8

   Explanation and discussion

2. Question 282· Sets· WAEC

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

   • A{2, 4, 6, 8, 12}
   • B{4, 8}
   • C{2, 6}
   • D{12}

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   Answer: B. {4, 8}

   Explanation and discussion

3. Question 283· Sets· WAEC

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

   • A{g, h}
   • B{c, e}
   • C{a, b, d}
   • D{a, b, c, d, e, g, h}

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

   Explanation and discussion

4. Question 284· Sets· WAEC

   How many subsets has a set with 4 elements?

   • A8
   • B16
   • C4
   • D12

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   Answer: B. 16

   Explanation and discussion

5. Question 285· Sets· WAEC

   Which of these sets is empty?

   • A{x : x² = 4}
   • B{x : x is a prime number less than 3}
   • C{x : x is an even prime number greater than 2}
   • D{0}

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

   Explanation and discussion

6. Question 286· Sets· WAEC

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

   • A7
   • B3
   • C10
   • D6

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   Answer: A. 7

   Explanation and discussion

7. Question 287· Sets· WAEC

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

   • A{1, 5, 7}
   • B{3}
   • C{1, 3, 5, 6, 7, 9}
   • D{1, 3, 5, 7, 3, 6, 9}

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

   Explanation and discussion

8. Question 288· Sets· WAEC

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

   • A{2, 4}
   • B{1, 2, 3, 4, 6, 8}
   • C{6, 8}
   • D{1, 3}

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   Answer: A. {2, 4}

   Explanation and discussion

9. Question 289· Sets· WAEC

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

   • A13
   • B5
   • C7
   • D3

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   Answer: D. 3

   Explanation and discussion

10. Question 290· Sets· WAEC

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

    • AA ∪ B
    • BA ∩ B
    • C(A ∪ B)′
    • DA′ ∩ B

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    Answer: C. (A ∪ B)′

    Explanation and discussion

11. Question 291· Sets· WAEC

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

    • A25
    • B32
    • C31
    • D10

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    Answer: C. 31

    Explanation and discussion

12. Question 292· Sets· WAEC

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

    • A8
    • B22
    • C7
    • D15

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    Answer: D. 15

    Explanation and discussion

13. Question 293· Sets· WAEC

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

    • A{b, d}
    • B{a, c, e}
    • C{b, c, d}
    • D{ }

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    Answer: A. {b, d}

    Explanation and discussion

14. Question 294· Statistics· WAEC

    Find the median of 3, 9, 4, 7, 11 and 5.

    • A7
    • B5
    • C6
    • D6.5

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    Answer: C. 6

    Explanation and discussion

15. Question 295· Statistics· WAEC

    Find the variance of 2, 4, 6.

    • A2
    • B4
    • C8/3
    • D√(8/3)

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    Answer: C. 8/3

    Explanation and discussion

16. Question 296· Statistics· WAEC

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

    • A23
    • B9
    • C14
    • D8

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    Answer: C. 14

    Explanation and discussion

17. Question 297· Statistics· WAEC

    Find the mean of 3, 7, 8, 10 and 12.

    • A7
    • B8
    • C10
    • D9

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    Answer: B. 8

    Explanation and discussion

18. Question 298· Statistics· WAEC

    Find the range of 23, 41, 17, 35 and 29.

    • A24
    • B41
    • C17
    • D18

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    Answer: A. 24

    Explanation and discussion

19. Question 299· Statistics· WAEC

    In a pie chart showing 72 students, what angle represents a group of 18 students?

    • A18°
    • B72°
    • C90°
    • D45°

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    Answer: C. 90°

    Explanation and discussion

20. Question 300· Statistics· WAEC

    Calculate the variance of 1, 3, 5 and 7.

    • A√5
    • B20
    • C4
    • D5

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    Answer: D. 5

    Explanation and discussion