JAMB and WAEC Mathematics questions

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

1. Question 61· Coordinate geometry· WAEC

   Find the midpoint of the line joining (−4, 9) and (6, −3).

   • A(1, 3)
   • B(2, 6)
   • C(5, −6)
   • D(−5, 6)

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   Explanation and discussion

2. Question 62· Coordinate geometry· WAEC

   Find the midpoint of the line joining (3, −4) and (−7, 10).

   • A(5, −7)
   • B(−2, 3)
   • C(−4, 6)
   • D(2, −3)

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   Explanation and discussion

3. Question 63· Coordinate geometry· JAMB

   Find the point where the lines y = x + 1 and y = 3x − 5 meet.

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

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4. Question 64· Coordinate geometry· JAMB

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

   • A4
   • B−3
   • C3
   • D12

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5. Question 65· 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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6. Question 66· 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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   Explanation and discussion

7. Question 67· Coordinate geometry· WAEC

   Find the gradient of the line 5x − y + 2 = 0.

   • A−5
   • B5
   • C2
   • D1/5

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8. Question 68· 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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9. Question 69· Coordinate geometry· WAEC

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

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

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10. Question 70· Coordinate geometry· WAEC

    Find the distance between (1, 2) and (4, 6).

    • A25
    • B7
    • C5
    • D√7

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11. Question 71· Coordinate geometry· WAEC

    Find the distance between (1, −1) and (7, 7).

    • A8
    • B14
    • C10
    • D6

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12. Question 72· 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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    Explanation and discussion

13. Question 73· 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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14. Question 74· Coordinate geometry· WAEC

    Find the equation of the line with gradient −3 that passes through (0, 5).

    • Ay = −3x + 5
    • By = 3x + 5
    • Cy = −3x − 5
    • Dy = 5x − 3

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15. Question 75· Coordinate geometry· WAEC

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

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

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16. Question 76· Coordinate geometry· WAEC

    The line through (2, 3) and (2, 9) has equation

    • Ax = 2
    • By = 2
    • Cy = 3x
    • Dx = 9

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17. Question 77· Coordinate geometry· JAMB

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

    • A14
    • B8
    • C10
    • D√20

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18. Question 78· Coordinate geometry· WAEC

    Lines y = 2x + 1 and y = 2x − 5 are

    • Aintersecting at (1, 3)
    • Bperpendicular
    • Cthe same line
    • Dparallel

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19. Question 79· Coordinate geometry· WAEC

    Find the gradient of the straight line through (−1, 4) and (3, −8).

    • A−3
    • B3
    • C−1/3
    • D1/3

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20. Question 80· 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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    Explanation and discussion