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JAMB UTME 2022

JAMB Mathematics 2022 past questions

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

All JAMB Mathematics past questions

  1. Question 1

    Indices

    Evaluate $2^{2} \times 2^{1}$.

    1. Option A: 8
    2. Option B: 4
    3. Option C: 64
    4. Option D: 6
    Show the answer to question 1

    Answer: A, 8

    Add the indices: $2^{2} \times 2^{1} = 2^{3} = 8$.

  2. Question 2

    Statistics

    Find the mean of 22, 24, 26, 16, 17.

    1. Option A: 22
    2. Option B: 20
    3. Option C: 21
    4. Option D: 105
    Show the answer to question 2

    Answer: C, 21

    The sum is 105 and there are 5 numbers, so the mean is 105 ÷ 5 = 21.

  3. Question 3

    Quadratic equations

    Solve the equation $x^2 - 5x + 6 = 0$.

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

    Answer: B, x = 2 or x = 3

    The equation factorises as $(x - 2)(x - 3) = 0$, so x = 2 or x = 3.

  4. Question 4

    Linear equations

    Solve for $x$: $5x + 13 = 23$.

    1. Option A: x = 3
    2. Option B: x = 1
    3. Option C: x = 7.2
    4. Option D: x = 2
    Show the answer to question 4

    Answer: D, x = 2

    Subtract 13 from both sides to get 5x = 10, then divide by 5: x = 2.

  5. Question 5

    Mensuration

    Find the volume of a cylinder of radius 42 cm and height 10 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 5,544 cm³
    2. Option B: 110,880 cm³
    3. Option C: 2,640 cm³
    4. Option D: 55,440 cm³
    Show the answer to question 5

    Answer: D, 55,440 cm³

    Volume = $\pi r^2 h$ = 22/7 × 42² × 10 = 55,440 cm³.

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