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WAEC Further Mathematics questions: Sets, binary operations and logic

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

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All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  1. Question 1· Sets, binary operations and logic· WAEC

    The negation of the statement "It is raining" is

    Explanation and discussion

  2. Question 2· Sets, binary operations and logic· WAEC

    If U = {1, 2, …, 10} and A = {even numbers in U}, then n(A′) is

    Explanation and discussion

  3. Question 3· Sets, binary operations and logic· WAEC

    The contrapositive of "If p then q" is

    Explanation and discussion

  4. Question 4· Sets, binary operations and logic· WAEC

    What is the converse of 'If a figure is a square, then it is a rectangle'?

    Explanation and discussion

  5. Question 5· Sets, binary operations and logic· WAEC

    The statement p ⇒ q is false only when

    Explanation and discussion

  6. Question 6· Sets, binary operations and logic· WAEC

    The operation a * b = a + b + 3 on the real numbers has identity element −3. Find the inverse of 2.

    Explanation and discussion

  7. Question 7· Sets, binary operations and logic· WAEC

    If p is true and q is false, what is the truth value of p ⇒ q?

    Explanation and discussion

  8. Question 8· Sets, binary operations and logic· WAEC

    n(U) = 50, n(A) = 30, n(B) = 25 and n(A ∩ B) = 12. Find n(A′ ∩ B′).

    Explanation and discussion

  9. Question 9· Sets, binary operations and logic· WAEC

    What is the negation of the statement 'All students passed'?

    Explanation and discussion

  10. Question 10· Sets, binary operations and logic· WAEC

    The operation ∘ is defined on the real numbers by a ∘ b = 2a + b − 3. Find (4 ∘ 5) − (5 ∘ 4).

    Explanation and discussion

  11. Question 11· Sets, binary operations and logic· WAEC

    If p is 'it is raining' and q is 'the ground is wet', the statement p ⇒ q means

    Explanation and discussion

  12. Question 12· Sets, binary operations and logic· WAEC

    If n(A) = 8, n(B) = 6 and n(A ∩ B) = 3, then n(A ∪ B) is

    Explanation and discussion

  13. Question 13· Sets, binary operations and logic· WAEC

    The contrapositive of 'if x = 2, then x² = 4' is

    Explanation and discussion

  14. Question 14· Sets, binary operations and logic· WAEC

    Find the identity element of the operation a * b = a + b + 3 on the set of real numbers.

    Explanation and discussion

  15. Question 15· Sets, binary operations and logic· WAEC

    The number of subsets of a set with 4 elements is

    Explanation and discussion

  16. Question 16· Sets, binary operations and logic· WAEC

    A binary operation * is defined on the real numbers by a * b = a + b − 2ab. Find 3 * 2.

    Explanation and discussion

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