JAMB Mathematics questions

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

1. Question 61· Differentiation· JAMB

   Find the derivative of sin x with respect to x.

   • A−sin x
   • B−cos x
   • Ccos x
   • Dtan x

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2. Question 62· Differentiation· JAMB

   Find the derivative of cos x with respect to x.

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

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3. Question 63· Differentiation· JAMB

   Differentiate y = (2x + 1)³ with respect to x.

   • A3(2x + 1)²
   • B6(2x + 1)²
   • C2(2x + 1)³
   • D6(2x + 1)

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4. Question 64· Differentiation· JAMB

   Find the minimum value of y = x² − 6x + 10.

   • A3
   • B1
   • C10
   • D−1

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5. Question 65· Differentiation· JAMB

   Find the minimum value of y = x² − 4x + 7.

   • A3
   • B2
   • C7
   • D−3

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6. Question 66· Differentiation· JAMB

   Differentiate y = (x² + 1)² with respect to x.

   • A4x³
   • B2(x² + 1)
   • C2x(x² + 1)
   • D4x(x² + 1)

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7. Question 67· Differentiation· JAMB

   Find the values of x at the turning points of y = x³ − 3x.

   • Ax = 0 only
   • Bx = 1 or x = −1
   • Cx = 3 or x = −3
   • Dx = √3 or x = −√3

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8. Question 68· Differentiation· JAMB

   A particle moves so that s = 2t³ − 3t² metres. Find its acceleration at t = 2 s.

   • A6 m/s²
   • B12 m/s²
   • C24 m/s²
   • D18 m/s²

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9. Question 69· Differentiation· JAMB

   Differentiate y = 3x⁴ − 2x² + 5 with respect to x.

   • A12x⁴ − 4x
   • B12x³ − 2x
   • C4x³ − 4x
   • D12x³ − 4x

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10. Question 70· Differentiation· JAMB

    Find dy/dx if y = 7x.

    • A0
    • B7x
    • C7
    • Dx

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11. Question 71· Differentiation· JAMB

    Differentiate 4x³ − 2x + 7 with respect to x.

    • A12x² − 2x
    • B12x² − 2
    • C4x² − 2
    • D12x² + 7

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12. Question 72· Differentiation· JAMB

    Differentiate sin 2x with respect to x.

    • A−2 cos 2x
    • Bcos 2x
    • C2 cos 2x
    • D2 sin x

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13. Question 73· Euclidean geometry· JAMB

    Two chords AB and CD of a circle intersect at X inside the circle. AX = 4 cm, XB = 6 cm and CX = 3 cm. Find XD.

    • A8 cm
    • B4.5 cm
    • C2 cm
    • D7 cm

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14. Question 74· Euclidean geometry· JAMB

    

    In the diagram, the two horizontal lines are parallel. Find the angle marked x.

    • A25°
    • B65°
    • C115°
    • D125°

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15. Question 75· Euclidean geometry· JAMB

    The angle between a tangent and a chord at the point of contact equals

    • A90°
    • Bthe angle in the alternate segment
    • Cthe angle at the centre
    • D180° minus the angle at the centre

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16. Question 76· Euclidean geometry· JAMB

    The angles of a triangle are in the ratio 2 : 3 : 4. Find the largest angle.

    • A80°
    • B60°
    • C40°
    • D90°

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17. Question 77· Euclidean geometry· JAMB

    Find each interior angle of a regular pentagon.

    • A120°
    • B72°
    • C108°
    • D540°

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18. Question 78· Euclidean geometry· JAMB

    Two angles x and 2x lie on a straight line. Find x.

    • A30°
    • B45°
    • C90°
    • D60°

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19. Question 79· Euclidean geometry· JAMB

    The two shorter sides of a right-angled triangle are 9 cm and 12 cm. Find the hypotenuse.

    • A√63 cm
    • B21 cm
    • C13 cm
    • D15 cm

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20. Question 80· Euclidean geometry· JAMB

    The angle between a tangent to a circle and a chord drawn from the point of contact is 55°. Find the angle in the alternate segment.

    • A55°
    • B35°
    • C110°
    • D125°

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