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WAEC WASSCE 2022

WAEC Mathematics 2022 past questions

5 objective questions from the 2022 WAEC Mathematics paper. Answer each one, then reveal the answer and explanation.

All WAEC Mathematics past questions

  1. Question 1

    Mensuration

    Find the area of a circle of radius 42 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 5,544 cm²
    2. Option B: 264 cm²
    3. Option C: 11,088 cm²
    4. Option D: 132 cm²
    Show the answer to question 1

    Answer: A, 5,544 cm²

    Area = $\pi r^2$ = 22/7 × 42 × 42 = 5,544 cm².

  2. Question 2

    Statistics

    Find the mean of 51, 37, 40, 41, 46.

    1. Option A: 43
    2. Option B: 44
    3. Option C: 42
    4. Option D: 41
    Show the answer to question 2

    Answer: A, 43

    The sum is 215 and there are 5 numbers, so the mean is 215 ÷ 5 = 43.

  3. Question 3

    Indices

    Simplify $\frac{x^{5} \times x^{3}}{x^{4}}$.

    1. Option A: $x^{4}$
    2. Option B: $x^{11}$
    3. Option C: $x^{12}$
    4. Option D: $x^{8}$
    Show the answer to question 3

    Answer: A, $x^{4}$

    Add the indices when multiplying and subtract when dividing: 5 + 3 − 4 = 4.

  4. Question 4

    Quadratic equations

    Solve the equation $x^2 - 11x + 28 = 0$.

    1. Option A: x = -4 or x = -7
    2. Option B: x = 4 or x = 7
    3. Option C: x = -4 or x = 7
    4. Option D: x = 4 or x = -7
    Show the answer to question 4

    Answer: B, x = 4 or x = 7

    The equation factorises as $(x - 4)(x - 7) = 0$, so x = 4 or x = 7.

  5. Question 5

    Linear equations

    Solve for $x$: $2x + 7 = 17$.

    1. Option A: x = 6
    2. Option B: x = 5
    3. Option C: x = 4
    4. Option D: x = 12
    Show the answer to question 5

    Answer: B, x = 5

    Subtract 7 from both sides to get 2x = 10, then divide by 2: x = 5.

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