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WAEC WASSCE 2019

WAEC Mathematics 2019 past questions

7 objective questions from the 2019 WAEC Mathematics paper. Answer each one, then reveal the answer and explanation.

All WAEC Mathematics past questions

  1. Question 1

    Indices

    Simplify 27^(2/3) × 9^(-1/2).

    1. Option A: 1/3
    2. Option B: 1
    3. Option C: 3
    4. Option D: 9
    Show the answer to question 1

    Answer: C, 3

    27^(2/3) = 9 and 9^(-1/2) = 1/3, so the product is 9 × 1/3 = 3.

  2. Question 2

    Percentages

    A trader bought a radio for ₦7,500 and sold it for ₦8,400. Find the percentage profit.

    1. Option A: 10.7%
    2. Option B: 17%
    3. Option C: 12%
    4. Option D: 24%
    Show the answer to question 2

    Answer: C, 12%

    Profit = ₦900. Percentage profit = 900 ÷ 7,500 × 100 = 12%.

  3. Question 3

    Simple interest

    Find the simple interest on ₦37,500 for 3 years at 2% per annum.

    1. Option A: ₦39,750
    2. Option B: ₦750
    3. Option C: ₦2,250
    4. Option D: ₦4,500
    Show the answer to question 3

    Answer: C, ₦2,250

    I = PRT ÷ 100 = 37,500 × 2 × 3 ÷ 100 = ₦2,250.

  4. Question 4

    Quadratic equations

    Solve the equation $x^2 - 3x + 2 = 0$.

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

    Answer: B, x = 1 or x = 2

    The equation factorises as $(x - 1)(x - 2) = 0$, so x = 1 or x = 2.

  5. Question 5

    Mensuration

    Find the volume of a cylinder of radius 21 cm and height 14 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 19,404 cm³
    2. Option B: 1,386 cm³
    3. Option C: 38,808 cm³
    4. Option D: 1,848 cm³
    Show the answer to question 5

    Answer: A, 19,404 cm³

    Volume = $\pi r^2 h$ = 22/7 × 21² × 14 = 19,404 cm³.

  6. Question 6

    Probability

    A bag contains 2 red, 3 blue, and 4 green balls. A ball is picked at random. What is the probability that it is blue?

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

    Answer: B, $\frac{1}{3}$

    There are 3 blue balls out of 9, so the probability is $\frac{1}{3}$.

  7. Question 7

    Linear equations

    Solve for $x$: $4x + 8 = 28$.

    1. Option A: x = 6
    2. Option B: x = 4
    3. Option C: x = 5
    4. Option D: x = 9
    Show the answer to question 7

    Answer: C, x = 5

    Subtract 8 from both sides to get 4x = 20, then divide by 4: x = 5.

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