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WAEC WASSCE 2021

WAEC Mathematics 2021 past questions

6 objective questions from the 2021 WAEC Mathematics paper. Answer each one, then reveal the answer and explanation.

All WAEC Mathematics past questions

  1. Question 1

    Percentages

    A trader bought an article for ₦8,000 and sold it for ₦10,000. Find the percentage profit.

    1. Option A: 20%
    2. Option B: 25%
    3. Option C: 30%
    4. Option D: 80%
    Show the answer to question 1

    Answer: B, 25%

    Profit = ₦2,000. Percentage profit = 2,000 ÷ 8,000 × 100 = 25%.

  2. Question 2

    Percentages

    A trader bought a radio for ₦8,500 and sold it for ₦14,875. Find the percentage profit.

    1. Option A: 42.9%
    2. Option B: 75%
    3. Option C: 80%
    4. Option D: 150%
    Show the answer to question 2

    Answer: B, 75%

    Profit = ₦6,375. Percentage profit = 6,375 ÷ 8,500 × 100 = 75%.

  3. Question 3

    Mensuration

    Find the volume of a cylinder of radius 35 cm and height 16 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 3,850 cm³
    2. Option B: 123,200 cm³
    3. Option C: 3,520 cm³
    4. Option D: 61,600 cm³
    Show the answer to question 3

    Answer: D, 61,600 cm³

    Volume = $\pi r^2 h$ = 22/7 × 35² × 16 = 61,600 cm³.

  4. Question 4

    Linear equations

    Solve for $x$: $6x + 11 = 23$.

    1. Option A: x = 3
    2. Option B: x = 2
    3. Option C: x = 1
    4. Option D: x = 5.67
    Show the answer to question 4

    Answer: B, x = 2

    Subtract 11 from both sides to get 6x = 12, then divide by 6: x = 2.

  5. Question 5

    Quadratic equations

    Solve the equation $x^2 - 7x + 12 = 0$.

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

    Answer: D, x = 3 or x = 4

    The equation factorises as $(x - 3)(x - 4) = 0$, so x = 3 or x = 4.

  6. Question 6

    Statistics

    Find the mean of 41, 45, 34, 36, 39.

    1. Option A: 39
    2. Option B: 40
    3. Option C: 38
    4. Option D: 195
    Show the answer to question 6

    Answer: A, 39

    The sum is 195 and there are 5 numbers, so the mean is 195 ÷ 5 = 39.

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