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WAEC WASSCE 2016

WAEC Mathematics 2016 past questions

6 objective questions from the 2016 WAEC Mathematics paper. Answer each one, then reveal the answer and explanation.

All WAEC Mathematics past questions

  1. Question 1

    Percentages

    A trader bought a radio for ₦6,000 and sold it for ₦8,700. Find the percentage profit.

    1. Option A: 31%
    2. Option B: 45%
    3. Option C: 50%
    4. Option D: 90%
    Show the answer to question 1

    Answer: B, 45%

    Profit = ₦2,700. Percentage profit = 2,700 ÷ 6,000 × 100 = 45%.

  2. Question 2

    Simple interest

    Find the simple interest on ₦30,000 for 4 years at 3% per annum.

    1. Option A: ₦3,600
    2. Option B: ₦33,600
    3. Option C: ₦900
    4. Option D: ₦7,200
    Show the answer to question 2

    Answer: A, ₦3,600

    I = PRT ÷ 100 = 30,000 × 3 × 4 ÷ 100 = ₦3,600.

  3. Question 3

    Statistics

    Find the mean of 58, 63, 49, 52, 53.

    1. Option A: 56
    2. Option B: 54
    3. Option C: 53
    4. Option D: 55
    Show the answer to question 3

    Answer: D, 55

    The sum is 275 and there are 5 numbers, so the mean is 275 ÷ 5 = 55.

  4. Question 4

    Indices

    Simplify $\frac{x^{4} \times x^{4}}{x^{4}}$.

    1. Option A: $x^{12}$
    2. Option B: $x^{4}$
    3. Option C: $x^{8}$
    4. Option D: $x^{-4}$
    Show the answer to question 4

    Answer: B, $x^{4}$

    Add the indices when multiplying and subtract when dividing: 4 + 4 − 4 = 4.

  5. Question 5

    Quadratic equations

    Solve the equation $x^2 - 9x + 18 = 0$.

    1. Option A: x = 3 or x = 6
    2. Option B: x = -3 or x = -6
    3. Option C: x = -3 or x = 6
    4. Option D: x = 3 or x = -6
    Show the answer to question 5

    Answer: A, x = 3 or x = 6

    The equation factorises as $(x - 3)(x - 6) = 0$, so x = 3 or x = 6.

  6. Question 6

    Probability

    A bag contains 3 red, 4 blue, and 6 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{3}{13}$
    2. Option B: $\frac{6}{13}$
    3. Option C: $\frac{4}{13}$
    4. Option D: $\frac{4}{9}$
    Show the answer to question 6

    Answer: C, $\frac{4}{13}$

    There are 4 blue balls out of 13, so the probability is $\frac{4}{13}$.

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