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JAMB and WAEC Mathematics questions

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

  1. Question 1· Binary operations· JAMB

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

    Explanation and discussion
  2. Question 2· Binary operations· JAMB

    The operation ⊕ is defined by a ⊕ b = a² + b². Find 2 ⊕ (1 ⊕ 1).

    Explanation and discussion
  3. Question 4· Binary operations· JAMB

    The operation ⊗ gives the remainder when a + b is divided by 4. Find 3 ⊗ 3.

    Explanation and discussion
  4. Question 5· Binary operations· JAMB

    If m ∘ n = m² − n², evaluate (3 ∘ 2) ∘ 4.

    Explanation and discussion
  5. Question 6· Binary operations· JAMB

    Find the identity element of the operation a ⊕ b = a + b + ab on the real numbers.

    Explanation and discussion
  6. Question 7· Binary operations· JAMB

    The operation * is defined by a * b = 3a − b. Find 4 * 5.

    Explanation and discussion
  7. Question 8· Binary operations· WAEC

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

    Explanation and discussion
  8. Question 9· Binary operations· JAMB

    Which of the following operations on real numbers is associative?

    Explanation and discussion
  9. Question 11· Binary operations· JAMB

    The operation * on real numbers is defined by a * b = ab + 1. Is the operation commutative?

    Explanation and discussion
  10. Question 12· Binary operations· JAMB

    The operation ∆ is defined on real numbers by a ∆ b = a + b − 3. Find the identity element.

    Explanation and discussion
  11. Question 13· Binary operations· JAMB

    Which of the following operations on real numbers is commutative?

    Explanation and discussion
  12. Question 14· Binary operations· JAMB

    Which of the following sets is closed under subtraction?

    Explanation and discussion
  13. Question 15· Binary operations· JAMB

    The operation * is defined by a * b = a + 2b. Find 5 * 3.

    Explanation and discussion
  14. Question 16· Binary operations· JAMB

    The operation ∘ is defined by a ∘ b = a² − b. Find (2 ∘ 3) ∘ 1.

    Explanation and discussion
  15. Question 17· Binary operations· WAEC

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

    Explanation and discussion
  16. Question 18· Binary operations· WAEC

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

    Explanation and discussion
  17. Question 19· Binary operations· WAEC

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

    Explanation and discussion
  18. Question 20· Binary operations· WAEC

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

    Explanation and discussion

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