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JAMB and WAEC Mathematics questions

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

AllJAMBWAEC
All topicsBinary operations · 35Coordinate geometry · 46Differentiation · 24Euclidean geometry · 51Fractions, decimals, approximations and percentages · 56Indices, logarithms and surds · 59Inequalities · 41Integration · 23Loci · 31Matrices and determinants · 25Mensuration · 53Number bases · 49Permutation and combination · 22Polynomials · 57Probability · 48Progressions · 48Sets · 46Statistics · 53Trigonometry · 52Variation · 42

  1. Question 21· Binary operations· JAMB

    The operation ∗ is defined on non-zero real numbers by a ∗ b = (a + b)/ab. Find 2 ∗ 3.

    Explanation and discussion

  2. Question 22· Binary operations· WAEC

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

    Explanation and discussion

  3. Question 23· Binary operations· JAMB

    The operation * is defined by a * b = ab − a − b + 2. Find x if x * 3 = 6.

    Explanation and discussion

  4. Question 24· Binary operations· WAEC

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

    Explanation and discussion

  5. Question 25· Binary operations· JAMB

    Which of these operations on the real numbers is commutative?

    Explanation and discussion

  6. Question 26· Binary operations· JAMB

    The operation * on real numbers is defined by a * b = a + b − ab, with identity element 0. Find the inverse of 2.

    Explanation and discussion

  7. Question 27· Binary operations· JAMB

    The operation # is defined by a # b = ab/(a + b). Find 3 # 6.

    Explanation and discussion

  8. Question 28· 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

  9. Question 29· Binary operations· JAMB

    The operation * is defined by a * b = (a + b)/2. Find (2 * 4) * 6.

    Explanation and discussion

  10. Question 30· Binary operations· JAMB

    The operation * on real numbers is defined by a * b = a + b + 2. Find the identity element.

    Explanation and discussion

  11. Question 31· Binary operations· JAMB

    The operation ∘ is defined by a ∘ b = a² + 2b. Find x if x ∘ 3 = 22.

    Explanation and discussion

  12. Question 32· Binary operations· WAEC

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

    Explanation and discussion

  13. Question 33· Binary operations· JAMB

    The operation * on real numbers is defined by a * b = a + b + 2, with identity element −2. Find the inverse of 3.

    Explanation and discussion

  14. Question 34· Binary operations· WAEC

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

    Explanation and discussion

  15. Question 35· Binary operations· WAEC

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

    Explanation and discussion

  16. Question 36· Coordinate geometry· WAEC

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

    Explanation and discussion

  17. Question 37· Coordinate geometry· JAMB

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

    Explanation and discussion

  18. Question 38· Coordinate geometry· JAMB

    Find the gradient of the line 3x + 2y = 6.

    Explanation and discussion

  19. Question 39· Coordinate geometry· JAMB

    Find the midpoint of the line joining (a, 2b) and (3a, 4b).

    Explanation and discussion

  20. Question 40· Coordinate geometry· WAEC

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

    Explanation and discussion

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