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JAMB UTME

JAMB Mathematics past questions and answers

Objective Mathematics questions from past JAMB UTME papers, with the answer and a short explanation for each. Try a question, then reveal the answer to check your working.

  1. Question 1

    JAMB 2024Simple interest

    Find the simple interest on ₦7,500 for 3 years at 8% per annum.

    1. Option A: ₦9,300
    2. Option B: ₦600
    3. Option C: ₦3,600
    4. Option D: ₦1,800
    Show the answer to question 1

    Answer: D, ₦1,800

    I = PRT ÷ 100 = 7,500 × 8 × 3 ÷ 100 = ₦1,800.

  2. Question 2

    JAMB 2024Probability

    A bag contains 2 red, 3 blue, and 4 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{2}{9}$
    2. Option B: $\frac{4}{9}$
    3. Option C: $\frac{1}{3}$
    4. Option D: $\frac{1}{2}$
    Show the answer to question 2

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

    There are 3 blue balls out of 9, so the probability is $\frac{1}{3}$.

  3. Question 3

    JAMB 2024Linear equations

    Solve for $x$: $2x + 5 = 21$.

    1. Option A: x = 9
    2. Option B: x = 7
    3. Option C: x = 13
    4. Option D: x = 8
    Show the answer to question 3

    Answer: D, x = 8

    Subtract 5 from both sides to get 2x = 16, then divide by 2: x = 8.

  4. Question 4

    JAMB 2024Statistics

    Find the mean of 33, 22, 24, 27, 29.

    1. Option A: 28
    2. Option B: 26
    3. Option C: 27
    4. Option D: 135
    Show the answer to question 4

    Answer: C, 27

    The sum is 135 and there are 5 numbers, so the mean is 135 ÷ 5 = 27.

  5. Question 5

    JAMB 2024Indices

    Evaluate $2^{4} \times 2^{2}$.

    1. Option A: 64
    2. Option B: 256
    3. Option C: 32
    4. Option D: 4096
    Show the answer to question 5

    Answer: A, 64

    Add the indices: $2^{4} \times 2^{2} = 2^{6} = 64$.

  6. Question 6

    JAMB 2023Linear 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 6

    Answer: B, x = 5

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

  7. Question 7

    JAMB 2023Indices

    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 7

    Answer: A, $x^{5}$

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

  8. Question 8

    JAMB 2023Simple 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 8

    Answer: A, ₦500

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

  9. Question 9

    JAMB 2023Mensuration

    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 9

    Answer: B, 7,546 cm²

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

  10. Question 10

    JAMB 2023Statistics

    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 10

    Answer: D, 26

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

More Mathematics: WAEC Mathematics past questions.

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