JAMB and WAEC Mathematics questions

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

1. Question 101· 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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2. Question 102· Differentiation· JAMB

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

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

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3. Question 103· Differentiation· JAMB

   Find dy/dx if y = 7x.

   • A0
   • B7x
   • C7
   • Dx

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4. Question 104· Differentiation· JAMB

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

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

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5. Question 105· 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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6. Question 106· Euclidean geometry· WAEC

   A tangent to a circle meets the radius at the point of contact at

   • A45°
   • B90°
   • C60°
   • D180°

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7. Question 107· 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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8. Question 108· 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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9. Question 109· Euclidean geometry· WAEC

   The angles of a triangle are x°, 2x° and 3x°. The largest angle is

   • A60°
   • B90°
   • C30°
   • D120°

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10. Question 110· 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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11. Question 111· Euclidean geometry· WAEC

    Find the sum of the interior angles of a seven-sided polygon.

    • A1,260°
    • B900°
    • C720°
    • D1,080°

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12. Question 112· Euclidean geometry· WAEC

    A, B and C lie on a circle with centre O, and C is on the major arc AB. If angle AOB = 130°, find angle ACB.

    • A50°
    • B130°
    • C115°
    • D65°

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13. Question 113· 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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14. Question 114· Euclidean geometry· WAEC

    One angle of a cyclic quadrilateral is 72°. Find the angle opposite to it.

    • A72°
    • B108°
    • C118°
    • D18°

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15. Question 115· Euclidean geometry· WAEC

    A polygon has 8 sides. What is the total of its interior angles?

    • A720°
    • B1440°
    • C900°
    • D1080°

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16. Question 116· Euclidean geometry· WAEC

    The angle subtended by an arc at the centre of a circle is 110°. The angle it subtends at the circumference is

    • A220°
    • B110°
    • C55°
    • D70°

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17. Question 117· Euclidean geometry· JAMB

    Find each interior angle of a regular pentagon.

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

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18. Question 118· 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 119· 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 120· 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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