JAMB and WAEC Mathematics questions

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

1. Question 301· Inequalities· JAMB

   Which point satisfies all of x + y ≤ 4, x ≥ 0 and y ≥ 0?

   • A(3, 2)
   • B(1, 2)
   • C(−1, 1)
   • D(5, 0)

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   Explanation and discussion

2. Question 302· Inequalities· JAMB

   Find the range of values of x for which x² − x − 6 > 0.

   • A−2 < x < 3
   • Bx < −2 or x > 3
   • Cx > 3 only
   • Dx < −3 or x > 2

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3. Question 303· Inequalities· WAEC

   Solve the inequality 2x − 3 > 7.

   • Ax > 5
   • Bx < 5
   • Cx > 2
   • Dx > 10

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4. Question 304· Inequalities· WAEC

   Find the range of values of x for which 3 − 2x ≤ 9.

   • Ax ≥ 3
   • Bx ≤ −3
   • Cx ≥ −3
   • Dx ≤ 3

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5. Question 305· Inequalities· JAMB

   For what values of x is the expression x² + 2x − 15 negative?

   • A−3 < x < 5
   • Bx < −5 or x > 3
   • C−5 < x < 3
   • Dx > 3

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6. Question 306· Inequalities· JAMB

   Which of the following points lies in the region y > 2x?

   • A(2, 3)
   • B(1, 3)
   • C(3, 5)
   • D(1, 1)

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7. Question 307· Inequalities· JAMB

   Solve 2x² ≤ 8.

   • Ax ≥ 2 or x ≤ −2
   • Bx ≤ 2
   • C−2 ≤ x ≤ 2
   • D0 ≤ x ≤ 2

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8. Question 308· Inequalities· WAEC

   Solve 3 < 2x + 1 ≤ 9.

   • A1 ≤ x < 4
   • B2 < x ≤ 5
   • C1 < x ≤ 4
   • D1 < x < 4

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9. Question 309· Inequalities· JAMB

   Solve |2x + 1| ≤ 5.

   • A−6 ≤ x ≤ 4
   • B−2 ≤ x ≤ 3
   • Cx ≤ 2
   • D−3 ≤ x ≤ 2

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10. Question 310· Inequalities· WAEC

    Solve the inequality 5 − 3x < 14.

    • Ax < −3
    • Bx > −3
    • Cx > 3
    • Dx < 3

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11. Question 311· Inequalities· JAMB

    Solve (x + 3)/2 < (2x − 1)/3.

    • Ax < 11
    • Bx > 11
    • Cx > −11
    • Dx < 7

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12. Question 312· Inequalities· WAEC

    Solve (2x + 1)/3 ≥ 5.

    • Ax ≤ 7
    • Bx ≥ 8
    • Cx ≥ 7
    • Dx ≥ 2

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    Explanation and discussion

13. Question 313· Integration· JAMB

    Evaluate the integral of x³ from x = 1 to x = 2.

    • A15
    • B4
    • C7/4
    • D15/4

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14. Question 314· Integration· JAMB

    Find ∫ sin x dx.

    • Asin x + c
    • Bcos x + c
    • C−cos x + c
    • D−sin x + c

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15. Question 315· Integration· JAMB

    Find ∫ cos x dx.

    • A−sin x + c
    • Bsin x + c
    • Ccos x + c
    • D−cos x + c

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16. Question 316· Integration· JAMB

    Find ∫ x⁻² dx.

    • Ax⁻¹ + c
    • B1/x + c
    • C−2x⁻³ + c
    • D−1/x + c

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17. Question 317· Integration· JAMB

    Find the area between y = x² and the x-axis from x = 1 to x = 3.

    • A9
    • B8
    • C26/3
    • D28/3

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18. Question 318· Integration· JAMB

    Evaluate the integral of (3x² + 2x) from x = 0 to x = 1.

    • A1
    • B3
    • C5
    • D2

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19. Question 319· Integration· JAMB

    Find the area enclosed by the curve y = x², the x-axis and the lines x = 0 and x = 3.

    • A9 square units
    • B27 square units
    • C3 square units
    • D6 square units

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20. Question 320· Integration· JAMB

    Find the area under the line y = 2x + 1 between x = 0 and x = 2.

    • A6
    • B5
    • C4
    • D8

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    Explanation and discussion