JAMB Mathematics questions

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

1. Question 41· Coordinate geometry· JAMB

   Find the x-intercept of the line 3x − 4y = 12.

   • A4
   • B−3
   • C3
   • D12

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2. Question 42· Coordinate geometry· JAMB

   Find the midpoint of the line joining (2, −3) and (−4, 5).

   • A(−2, 2)
   • B(−1, 1)
   • C(3, −4)
   • D(1, −1)

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3. Question 43· Coordinate geometry· JAMB

   Find the midpoint of the line joining (−2, 5) and (4, −1).

   • A(2, 4)
   • B(1, 2)
   • C(3, 3)
   • D(−1, 2)

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4. Question 44· Coordinate geometry· JAMB

   Find the equation of the line through (2, 5) and (4, 9).

   • Ay = 2x + 1
   • By = 2x + 5
   • Cy = x + 3
   • Dy = 4x − 3

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5. Question 45· Coordinate geometry· JAMB

   Find the equation of the line with gradient 2 that passes through (1, 3).

   • Ay = 2x + 3
   • By = 2x + 1
   • Cy = 2x − 1
   • Dy = x + 2

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6. Question 46· Coordinate geometry· JAMB

   The lines y = 2x + 3 and 4x − 2y = 5 are

   • Aperpendicular
   • Bparallel
   • Cthe same line
   • Dintersecting at (0, 3)

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7. Question 47· Coordinate geometry· JAMB

   Find the distance between the points (−2, 3) and (4, −5).

   • A14
   • B8
   • C10
   • D√20

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8. Question 48· Coordinate geometry· JAMB

   The line y = 3x − 2 crosses the y-axis at

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

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9. Question 49· Differentiation· JAMB

   Find the gradient of the curve y = x² − 4x + 1 at the point where x = 3.

   • A6
   • B−2
   • C2
   • D4

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10. Question 50· Differentiation· JAMB

    Find the minimum point of the curve y = 2x² − 8x + 3.

    • A(2, 3)
    • B(2, −5)
    • C(−2, 27)
    • D(4, 3)

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11. Question 51· Differentiation· JAMB

    Find the gradient of the curve y = x³ at the point (2, 8).

    • A6
    • B8
    • C12
    • D4

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12. Question 52· Differentiation· JAMB

    Find dy/dx if y = 1/x².

    • A−2/x³
    • B2/x³
    • C−1/x
    • D2x

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13. Question 53· Differentiation· JAMB

    The displacement of a particle is s = 2t³ − 4t metres. Find its velocity when t = 2 s.

    • A24 m/s
    • B8 m/s
    • C20 m/s
    • D12 m/s

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14. Question 54· Differentiation· JAMB

    Differentiate y = 3x⁴ − 2x² + 7x.

    • A3x³ − 2x + 7
    • B12x³ − 4x
    • C12x³ − 4x + 7
    • D12x⁴ − 4x² + 7

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15. Question 55· Differentiation· JAMB

    Differentiate y = 1/x with respect to x.

    • A1/x²
    • B−1/x²
    • C−1/x
    • Dx²

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16. Question 56· Differentiation· JAMB

    Find the gradient of the curve y = x³ − 2x at x = 2.

    • A12
    • B4
    • C10
    • D6

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17. Question 57· Differentiation· JAMB

    The area of a circle is A = πr². Find the rate of change of A with respect to r when r = 7. (Take π = 22/7.)

    • A44
    • B154
    • C22
    • D14

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18. Question 58· Differentiation· JAMB

    Find the turning point of the curve y = x² − 2x + 5.

    • A(1, 4)
    • B(−1, 8)
    • C(2, 5)
    • D(1, 5)

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19. Question 59· Differentiation· JAMB

    Find the maximum value of y = 4x − x².

    • A4
    • B2
    • C8
    • D0

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20. Question 60· Differentiation· JAMB

    Find dy/dx for y = 3x² − 5x + 2 at x = 1.

    • A6
    • B1
    • C−5
    • D0

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