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WAEC Mathematics questions

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

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All topicsBinary operations · 13Coordinate geometry · 20Euclidean geometry · 26Fractions, decimals, approximations and percentages · 29Indices, logarithms and surds · 29Inequalities · 17Loci · 12Mensuration · 27Number bases · 24Polynomials · 29Probability · 23Progressions · 22Sets · 22Statistics · 26Trigonometry · 26Variation · 19

  1. Question 21· Coordinate geometry· WAEC

    The point (k, 4) lies on the line y = 2x − 6. Find k.

    Explanation and discussion

  2. Question 22· Coordinate geometry· WAEC

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

    Explanation and discussion

  3. Question 23· Coordinate geometry· WAEC

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

    Explanation and discussion

  4. Question 24· Coordinate geometry· WAEC

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

    Explanation and discussion

  5. Question 25· Coordinate geometry· WAEC

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

    Explanation and discussion

  6. Question 26· Coordinate geometry· WAEC

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

    Explanation and discussion

  7. Question 27· Coordinate geometry· WAEC

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

    Explanation and discussion

  8. Question 28· Coordinate geometry· WAEC

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

    Explanation and discussion

  9. Question 29· Coordinate geometry· WAEC

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

    Explanation and discussion

  10. Question 30· Coordinate geometry· WAEC

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

    Explanation and discussion

  11. Question 31· Coordinate geometry· WAEC

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

    Explanation and discussion

  12. Question 32· Coordinate geometry· WAEC

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

    Explanation and discussion

  13. Question 33· Coordinate geometry· WAEC

    Find the equation of the line with gradient 2 that passes through the point (0, −3).

    Explanation and discussion

  14. Question 34· Euclidean geometry· WAEC

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

    Explanation and discussion

  15. Question 35· Euclidean geometry· WAEC

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

    Explanation and discussion

  16. Question 36· Euclidean geometry· WAEC

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

    Explanation and discussion

  17. Question 37· 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.

    Explanation and discussion

  18. Question 38· Euclidean geometry· WAEC

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

    Explanation and discussion

  19. Question 39· Euclidean geometry· WAEC

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

    Explanation and discussion

  20. Question 40· 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

    Explanation and discussion

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