WAEC Mathematics questions

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

1. Question 221· Polynomials· WAEC

   Solve the equation x² − 5x + 6 = 0.

   • Ax = −1 or 6
   • Bx = −2 or −3
   • Cx = 1 or 6
   • Dx = 2 or 3

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2. Question 222· Polynomials· WAEC

   Expand (3x + 2)(x − 4).

   • A3x² − 10x − 8
   • B3x² + 10x − 8
   • C3x² − 14x − 8
   • D3x² − 10x + 8

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3. Question 223· Polynomials· WAEC

   Make r the subject of V = πr²h.

   • Ar = √(V/πh)
   • Br = V/πh
   • Cr = √(Vπh)
   • Dr = πh/V

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4. Question 224· Polynomials· WAEC

   Solve the equation 3x − 7 = 2x + 5.

   • A−12
   • B−2
   • C2
   • D12

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5. Question 225· Polynomials· WAEC

   Solve 5x + 3 = 2x − 9.

   • A2
   • B4
   • C−2
   • D−4

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6. Question 226· Polynomials· WAEC

   Expand (x + 3)(x − 2).

   • Ax² + 5x − 6
   • Bx² − x − 6
   • Cx² + x − 6
   • Dx² − x + 6

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7. Question 227· Probability· WAEC

   A fair die is thrown once. The probability of a number greater than 4 is

   • A1/3
   • B1/2
   • C2/3
   • D1/6

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8. Question 228· Probability· WAEC

   A number is chosen at random from 1 to 30. What is the probability that it is a multiple of 6?

   • A1/10
   • B1/5
   • C1/30
   • D1/6

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9. Question 229· Probability· WAEC

   A fair die is thrown once. What is the probability of getting a number less than 3?

   • A1/6
   • B1/2
   • C1/3
   • D2/3

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10. Question 230· Probability· WAEC

    The probability that it rains tomorrow is 0.35. The probability that it does not rain is

    • A0.5
    • B0.35
    • C1.35
    • D0.65

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11. Question 231· Probability· WAEC

    A bag contains 5 red, 3 green and 2 yellow balls. What is the probability that a ball picked at random is not red?

    • A1/5
    • B1/2
    • C3/10
    • D3/5

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12. Question 232· Probability· WAEC

    The probability that it will rain tomorrow is 0.35. What is the probability that it will not rain?

    • A0.70
    • B0.35
    • C0.65
    • D1.35

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13. Question 233· Probability· WAEC

    A box contains 4 white and 6 black balls. Two are drawn without replacement. The probability that both are white is

    • A2/15
    • B4/25
    • C1/5
    • D2/5

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14. Question 234· Probability· WAEC

    Two dice are thrown. The probability that the sum is 7 is

    • A7/36
    • B1/12
    • C1/6
    • D1/36

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15. Question 235· Probability· WAEC

    Two fair coins are tossed. The probability of two heads is

    • A1/4
    • B1/2
    • C3/4
    • D1/3

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16. Question 236· Probability· WAEC

    A fair die is thrown once. What is the probability of getting a number greater than 4?

    • A1/6
    • B1/2
    • C2/3
    • D1/3

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17. Question 237· Probability· WAEC

    A bag has 5 red and 3 blue balls. A ball is picked at random. P(blue) is

    • A3/8
    • B5/8
    • C3/5
    • D1/3

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18. Question 238· Probability· WAEC

    Two fair coins are tossed together. Find the probability of getting two heads.

    • A3/4
    • B1/2
    • C1/4
    • D1/3

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19. Question 239· Probability· WAEC

    Two fair dice are thrown. What is the probability that the sum is 10?

    • A1/6
    • B1/12
    • C5/36
    • D1/9

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20. Question 240· Probability· WAEC

    A fair coin is tossed three times. What is the probability of getting three tails?

    • A1/8
    • B1/4
    • C3/8
    • D1/2

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    Explanation and discussion