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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

  2. Question 2· Binary operations· WAEC

    An operation △ is defined by p △ q = p² + q². Evaluate (1 △ 2) △ 1.

    Explanation and discussion

  4. Question 4· Binary operations· WAEC

    The operation x ∗ y = (x + y)/2 is defined on the real numbers. Which statement is true?

    Explanation and discussion

  5. Question 5· Binary operations· WAEC

    If x ∗ y = x raised to the power y, find 2 ∗ 3.

    Explanation and discussion

  6. Question 6· Binary operations· WAEC

    A binary operation * is defined on the real numbers by a * b = a + b − ab. Find 3 * 4.

    Explanation and discussion

  7. Question 7· Binary operations· WAEC

    Find the identity element of the operation a ∘ b = a + b − 2 on the real numbers.

    Explanation and discussion

  8. Question 8· Binary operations· WAEC

    A binary operation ⊕ is defined by a ⊕ b = 3a − b. Find 5 ⊕ 7.

    Explanation and discussion

  9. Question 9· Binary operations· WAEC

    An operation ⊙ is defined by m ⊙ n = m − n + mn. Find 2 ⊙ (−1).

    Explanation and discussion

  10. Question 10· Binary operations· WAEC

    On the set {1, 2, 3, 4}, a ⊗ b is the remainder when ab is divided by 5. Find 3 ⊗ 4.

    Explanation and discussion

  11. Question 11· Binary operations· WAEC

    A binary operation is defined by m ∘ n = m² − 2n. Evaluate (−3) ∘ 4.

    Explanation and discussion

  12. Question 12· Binary operations· WAEC

    Under the operation a ∘ b = a + b − 2, whose identity element is 2, find the inverse of 5.

    Explanation and discussion

  13. Question 13· Binary operations· WAEC

    Find the identity element of the operation a ∗ b = ab/2 on the non-zero real numbers.

    Explanation and discussion

  14. Question 14· Coordinate geometry· WAEC

    Find the midpoint of the line joining (3, −7) and (−5, 9).

    Explanation and discussion

  15. Question 15· Coordinate geometry· WAEC

    Find the distance between (−2, 1) and (4, 9).

    Explanation and discussion

  16. Question 16· Coordinate geometry· WAEC

    The equation of the line with gradient 3 passing through (0, −2) is

    Explanation and discussion

  17. Question 17· Coordinate geometry· WAEC

    Where does the line 4x + 2y = 10 cut the y-axis?

    Explanation and discussion

  18. Question 18· Coordinate geometry· WAEC

    Find the gradient of the line joining (3, −2) and (7, 6).

    Explanation and discussion

  19. Question 19· Coordinate geometry· WAEC

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

    Explanation and discussion

  20. Question 20· Coordinate geometry· WAEC

    Find the gradient of the line joining the points (1, 2) and (3, 8).

    Explanation and discussion

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