JAMB and WAEC Mathematics questions

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

1. Question 561· Polynomials· JAMB

   Factorise x² + 7x + 12.

   • A(x − 3)(x − 4)
   • B(x + 2)(x + 6)
   • C(x + 1)(x + 12)
   • D(x + 3)(x + 4)

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   Answer: D. (x + 3)(x + 4)

   Explanation and discussion

2. Question 562· Polynomials· JAMB

   Find the remainder when 2x³ + 3x² − x + 5 is divided by (x + 1).

   • A3
   • B9
   • C7
   • D−7

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   Answer: C. 7

   Explanation and discussion

3. Question 563· Polynomials· JAMB

   If (x − 1) is a factor of x³ + kx² − 4, find k.

   • A5
   • B−3
   • C4
   • D3

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   Answer: D. 3

   Explanation and discussion

4. Question 564· Polynomials· JAMB

   Factorise 10x² + 11x − 6.

   • A(5x + 2)(2x − 3)
   • B(5x − 2)(2x + 3)
   • C(10x − 3)(x + 2)
   • D(5x + 3)(2x − 2)

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   Answer: B. (5x − 2)(2x + 3)

   Explanation and discussion

5. Question 565· Polynomials· WAEC

   Expand (3x + 2)(x − 4).

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

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   Answer: A. 3x² − 10x − 8

   Explanation and discussion

6. Question 566· Polynomials· WAEC

   Make r the subject of V = πr²h.

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

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   Answer: A. r = √(V/πh)

   Explanation and discussion

7. Question 567· Polynomials· WAEC

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

   • A−12
   • B−2
   • C2
   • D12

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   Answer: D. 12

   Explanation and discussion

8. Question 568· Polynomials· WAEC

   Solve 5x + 3 = 2x − 9.

   • A2
   • B4
   • C−2
   • D−4

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   Answer: D. −4

   Explanation and discussion

9. Question 569· Polynomials· JAMB

   α and β are the roots of x² − 6x + 4 = 0. Find α² + β².

   • A32
   • B36
   • C44
   • D28

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   Answer: D. 28

   Explanation and discussion

10. Question 570· Polynomials· WAEC

    Expand (x + 3)(x − 2).

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

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    Answer: C. x² + x − 6

    Explanation and discussion

11. Question 571· Polynomials· JAMB

    Find the positive value of k for which x² + kx + 9 is a perfect square.

    • A6
    • B3
    • C9
    • D18

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    Answer: A. 6

    Explanation and discussion

12. Question 572· Polynomials· JAMB

    Find the sum of the roots of 3x² − 12x + 5 = 0.

    • A12
    • B−4
    • C5/3
    • D4

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    Answer: D. 4

    Explanation and discussion

13. Question 573· Probability· JAMB

    A fair die is thrown once. What is the probability of NOT getting a 6?

    • A5/6
    • B1/6
    • C1/2
    • D1

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    Answer: A. 5/6

    Explanation and discussion

14. Question 574· 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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    Answer: A. 1/3

    Explanation and discussion

15. Question 575· Probability· JAMB

    Two fair dice are thrown. What is the probability that the total is 7?

    • A5/36
    • B7/36
    • C1/12
    • D1/6

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    Answer: D. 1/6

    Explanation and discussion

16. Question 576· Probability· JAMB

    A fair die is thrown once. What is the probability of getting a prime number?

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

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    Answer: B. 1/2

    Explanation and discussion

17. Question 577· Probability· JAMB

    Two coins are tossed together. What is the probability of getting at least one head?

    • A1/4
    • B1/2
    • C1
    • D3/4

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    Answer: D. 3/4

    Explanation and discussion

18. Question 578· 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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    Answer: D. 1/6

    Explanation and discussion

19. Question 579· Probability· JAMB

    Two fair dice are thrown. What is the probability that the total score is 12?

    • A1/12
    • B1/36
    • C1/6
    • D2/36

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    Answer: B. 1/36

    Explanation and discussion

20. Question 580· Probability· JAMB

    Two fair dice are thrown. What is the probability that the total is less than 4?

    • A1/12
    • B1/6
    • C1/9
    • D1/36

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    Answer: A. 1/12

    Explanation and discussion