JAMB and WAEC Mathematics questions

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

1. Question 321· Integration· JAMB

   Find ∫ 5 dx.

   • A0
   • B5 + c
   • Cx⁵ + c
   • D5x + c

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   Explanation and discussion

2. Question 322· Integration· JAMB

   Find ∫ (3x² − 2x + 1) dx.

   • Ax³ − x² + x + c
   • B6x − 2 + c
   • C3x³ − 2x² + x + c
   • Dx³ − 2x² + x + c

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3. Question 323· Integration· JAMB

   Find ∫ (2x + 1)² dx.

   • A(4/3)x³ + 4x² + x + c
   • B(2x + 1)³/3 + c
   • C4x² + 4x + c
   • D(4/3)x³ + 2x² + x + c

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4. Question 324· Integration· JAMB

   Find ∫ 3x² dx.

   • A3x³ + c
   • B6x + c
   • Cx³ + c
   • Dx² + c

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   Explanation and discussion

5. Question 325· Integration· JAMB

   Evaluate ∫₀² 3x² dx.

   • A6
   • B4
   • C12
   • D8

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6. Question 326· Integration· JAMB

   Evaluate ∫(4x + 3) dx.

   • A4x² + 3x + c
   • B2x² + 3x + c
   • C2x² + c
   • Dx² + 3x + c

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7. Question 327· Integration· JAMB

   Find ∫ (x + 1) dx.

   • Ax² + x + c
   • Bx²/2 + x + c
   • C1 + c
   • Dx²/2 + c

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8. Question 328· Integration· JAMB

   Evaluate the integral of cos x from x = 0 to x = π/2.

   • A0
   • B1
   • Cπ/2
   • D−1

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9. Question 329· Integration· JAMB

   Find the integral of (6x² − 4x + 3) with respect to x.

   • A12x − 4 + c
   • B2x³ − 2x² + 3x + c
   • C6x³ − 4x² + 3x + c
   • D2x³ − 4x² + 3 + c

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10. Question 330· Integration· JAMB

    Evaluate the integral of 2x from x = 0 to x = 3.

    • A6
    • B9
    • C3
    • D18

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    Explanation and discussion

11. Question 331· Integration· JAMB

    Evaluate the integral of sin x from x = 0 to x = π.

    • A1
    • B0
    • C2
    • D−2

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12. Question 332· Integration· JAMB

    dy/dx = 4x − 3 and y = 5 when x = 1. Find y in terms of x.

    • Ay = 4x² − 3x + 4
    • By = 2x² − 3x + 5
    • Cy = 2x² − 3x + 6
    • Dy = 2x² − 3x

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13. Question 333· Integration· JAMB

    Find the area enclosed between the curve y = 4 − x² and the x-axis.

    • A8 square units
    • B16/3 square units
    • C32/3 square units
    • D16 square units

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14. Question 334· Integration· JAMB

    Evaluate the integral of 2x from x = 1 to x = 3.

    • A4
    • B9
    • C8
    • D6

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15. Question 335· Integration· JAMB

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

    • A18
    • B10
    • C9
    • D12

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16. Question 336· Loci· WAEC

    The locus of a point P that moves so that it is always 5 cm from a fixed point O is

    • Aa circle of radius 5 cm centred at O
    • Ba straight line
    • Ca square
    • Dan angle bisector

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17. Question 337· Loci· JAMB

    A goat is tied to a post by a rope 4 m long. The region it can graze is

    • Aa semicircle of radius 2 m
    • Ba square of side 4 m
    • Ca straight line 4 m long
    • Da circle of radius 4 m centred at the post

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18. Question 338· Loci· JAMB

    The locus of points equidistant from two parallel lines is

    • Aa line parallel to them, midway between them
    • Ba circle
    • Ca line perpendicular to them
    • Da single point

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19. Question 339· Loci· JAMB

    A circle of radius r rolls round the outside of a fixed circle of radius R. The locus of the centre of the rolling circle is

    • Aa circle of radius r
    • Ba circle of radius R − r
    • Ca straight line
    • Da circle of radius R + r with the same centre as the fixed circle

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20. Question 340· Loci· JAMB

    The locus of points at a fixed distance d from a straight line is

    • Athe line itself
    • Ba circle of radius d
    • Ca single line perpendicular to it
    • Da pair of lines parallel to it, each at distance d

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    Explanation and discussion