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WAEC WASSCE 2020

WAEC Mathematics 2020 past questions

7 objective questions from the 2020 WAEC Mathematics paper. Answer each one, then reveal the answer and explanation.

All WAEC Mathematics past questions

  1. Question 1

    Logarithms

    Evaluate log₂ 32 − log₂ 4.

    1. Option A: 2
    2. Option B: 3
    3. Option C: 5
    4. Option D: 8
    Show the answer to question 1

    Answer: B, 3

    log₂ 32 = 5 and log₂ 4 = 2, so the difference is 3.

  2. Question 2

    Percentages

    A trader bought a radio for ₦8,000 and sold it for ₦8,640. Find the percentage profit.

    1. Option A: 8%
    2. Option B: 7.4%
    3. Option C: 13%
    4. Option D: 16%
    Show the answer to question 2

    Answer: A, 8%

    Profit = ₦640. Percentage profit = 640 ÷ 8,000 × 100 = 8%.

  3. Question 3

    Quadratic equations

    Solve the equation $x^2 - 7x + 10 = 0$.

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

    Answer: A, x = 2 or x = 5

    The equation factorises as $(x - 2)(x - 5) = 0$, so x = 2 or x = 5.

  4. Question 4

    Linear equations

    Solve for $x$: $5x + 4 = 44$.

    1. Option A: x = 9
    2. Option B: x = 7
    3. Option C: x = 8
    4. Option D: x = 9.6
    Show the answer to question 4

    Answer: C, x = 8

    Subtract 4 from both sides to get 5x = 40, then divide by 5: x = 8.

  5. Question 5

    Statistics

    Find the mean of 36, 41, 47, 31, 35.

    1. Option A: 39
    2. Option B: 38
    3. Option C: 37
    4. Option D: 36
    Show the answer to question 5

    Answer: B, 38

    The sum is 190 and there are 5 numbers, so the mean is 190 ÷ 5 = 38.

  6. Question 6

    Probability

    A bag contains 3 red, 5 blue, and 7 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{1}{3}$
    2. Option B: $\frac{1}{5}$
    3. Option C: $\frac{7}{15}$
    4. Option D: $\frac{1}{2}$
    Show the answer to question 6

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

    There are 5 blue balls out of 15, so the probability is $\frac{1}{3}$.

  7. Question 7

    Mensuration

    Find the area of a circle of radius 28 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 2,464 cm²
    2. Option B: 176 cm²
    3. Option C: 4,928 cm²
    4. Option D: 88 cm²
    Show the answer to question 7

    Answer: A, 2,464 cm²

    Area = $\pi r^2$ = 22/7 × 28 × 28 = 2,464 cm².

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