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WAEC WASSCE 2017

WAEC Mathematics 2017 past questions

6 objective questions from the 2017 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 ₦6,500 and sold it for ₦10,400. Find the percentage profit.

    1. Option A: 60%
    2. Option B: 37.5%
    3. Option C: 65%
    4. Option D: 120%
    Show the answer to question 1

    Answer: A, 60%

    Profit = ₦3,900. Percentage profit = 3,900 ÷ 6,500 × 100 = 60%.

  2. Question 2

    Mensuration

    Find the volume of a cylinder of radius 7 cm and height 12 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 154 cm³
    2. Option B: 3,696 cm³
    3. Option C: 528 cm³
    4. Option D: 1,848 cm³
    Show the answer to question 2

    Answer: D, 1,848 cm³

    Volume = $\pi r^2 h$ = 22/7 × 7² × 12 = 1,848 cm³.

  3. Question 3

    Quadratic equations

    Solve the equation $x^2 - 9x + 20 = 0$.

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

    Answer: A, x = 4 or x = 5

    The equation factorises as $(x - 4)(x - 5) = 0$, so x = 4 or x = 5.

  4. Question 4

    Simple interest

    Find the simple interest on ₦32,500 for 5 years at 14% per annum.

    1. Option A: ₦55,250
    2. Option B: ₦22,750
    3. Option C: ₦4,550
    4. Option D: ₦45,500
    Show the answer to question 4

    Answer: B, ₦22,750

    I = PRT ÷ 100 = 32,500 × 14 × 5 ÷ 100 = ₦22,750.

  5. Question 5

    Indices

    Evaluate $2^{4} \times 2^{2}$.

    1. Option A: 256
    2. Option B: 64
    3. Option C: 32
    4. Option D: 4096
    Show the answer to question 5

    Answer: B, 64

    Add the indices: $2^{4} \times 2^{2} = 2^{6} = 64$.

  6. Question 6

    Probability

    A bag contains 4 red, 6 blue, and 7 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{6}{17}$
    2. Option B: $\frac{4}{17}$
    3. Option C: $\frac{7}{17}$
    4. Option D: $\frac{6}{11}$
    Show the answer to question 6

    Answer: A, $\frac{6}{17}$

    There are 6 blue balls out of 17, so the probability is $\frac{6}{17}$.

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