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JAMB UTME 2023

JAMB Mathematics 2023 past questions

5 objective questions from the 2023 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Linear equations

    Solve for $x$: $6x + 9 = 39$.

    1. Option A: x = 6
    2. Option B: x = 5
    3. Option C: x = 4
    4. Option D: x = 8
    Show the answer to question 1

    Answer: B, x = 5

    Subtract 9 from both sides to get 6x = 30, then divide by 6: x = 5.

  2. Question 2

    Indices

    Simplify $\frac{x^{4} \times x^{3}}{x^{2}}$.

    1. Option A: $x^{5}$
    2. Option B: $x^{10}$
    3. Option C: $x^{9}$
    4. Option D: $x^{7}$
    Show the answer to question 2

    Answer: A, $x^{5}$

    Add the indices when multiplying and subtract when dividing: 4 + 3 − 2 = 5.

  3. Question 3

    Simple interest

    Find the simple interest on ₦5,000 for 2 years at 5% per annum.

    1. Option A: ₦500
    2. Option B: ₦5,500
    3. Option C: ₦250
    4. Option D: ₦1,000
    Show the answer to question 3

    Answer: A, ₦500

    I = PRT ÷ 100 = 5,000 × 5 × 2 ÷ 100 = ₦500.

  4. Question 4

    Mensuration

    Find the area of a circle of radius 49 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 308 cm²
    2. Option B: 7,546 cm²
    3. Option C: 15,092 cm²
    4. Option D: 154 cm²
    Show the answer to question 4

    Answer: B, 7,546 cm²

    Area = $\pi r^2$ = 22/7 × 49 × 49 = 7,546 cm².

  5. Question 5

    Statistics

    Find the mean of 29, 35, 19, 23, 24.

    1. Option A: 27
    2. Option B: 25
    3. Option C: 24
    4. Option D: 26
    Show the answer to question 5

    Answer: D, 26

    The sum is 130 and there are 5 numbers, so the mean is 130 ÷ 5 = 26.

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