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WAEC Further Mathematics questions

267 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 261· Vectors· WAEC

    Find the scalar (dot) product of a = 2i + 3j and b = 4i − j.

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    Answer: A. 5

    Explanation and discussion

  2. Question 262· Vectors· WAEC

    Given p = 2i − j and q = i + 3j, find p + 2q.

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    Answer: D. 4i + 5j

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  3. Question 263· Vectors· WAEC

    The vectors a = 2i + kj and b = 3i − 6j are perpendicular. Find k.

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    Answer: B. 1

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  5. Question 265· Vectors· WAEC

    A is the point (1, 2) and B is (4, 6). Express AB as a vector.

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    Answer: D. 3i + 4j

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  6. Question 266· Vectors· WAEC

    Points P and Q have position vectors 4i + j and 2i + 5j. Find the position vector of the midpoint of PQ.

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    Answer: D. 3i + 3j

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  7. Question 267· Vectors· WAEC

    The dot product of (2i + 3j) and (4i − j) is

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    Answer: A. 5

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