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JAMB UTME 2015

JAMB Mathematics 2015 past questions

6 objective questions from the 2015 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Probability

    A bag contains 3 red, 5 blue, and 7 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{1}{5}$
    2. Option B: $\frac{7}{15}$
    3. Option C: $\frac{1}{2}$
    4. Option D: $\frac{1}{3}$
    Show the answer to question 1

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

    There are 5 blue balls out of 15, so the probability is $\frac{1}{3}$.

  2. Question 2

    Indices

    Simplify $\frac{x^{6} \times x^{2}}{x^{4}}$.

    1. Option A: $x^{8}$
    2. Option B: $x^{4}$
    3. Option C: $x^{12}$
    4. Option D: $x^{0}$
    Show the answer to question 2

    Answer: B, $x^{4}$

    Add the indices when multiplying and subtract when dividing: 6 + 2 − 4 = 4.

  3. Question 3

    Simple interest

    Find the simple interest on ₦10,000 for 4 years at 10% per annum.

    1. Option A: ₦14,000
    2. Option B: ₦1,000
    3. Option C: ₦4,000
    4. Option D: ₦8,000
    Show the answer to question 3

    Answer: C, ₦4,000

    I = PRT ÷ 100 = 10,000 × 10 × 4 ÷ 100 = ₦4,000.

  4. Question 4

    Percentages

    A trader bought a radio for ₦2,000 and sold it for ₦2,200. Find the percentage profit.

    1. Option A: 9.1%
    2. Option B: 10%
    3. Option C: 15%
    4. Option D: 20%
    Show the answer to question 4

    Answer: B, 10%

    Profit = ₦200. Percentage profit = 200 ÷ 2,000 × 100 = 10%.

  5. Question 5

    Linear equations

    Solve for $x$: $3x + 12 = 18$.

    1. Option A: x = 3
    2. Option B: x = 1
    3. Option C: x = 10
    4. Option D: x = 2
    Show the answer to question 5

    Answer: D, x = 2

    Subtract 12 from both sides to get 3x = 6, then divide by 3: x = 2.

  6. Question 6

    Statistics

    Find the mean of 25, 28, 29, 34, 39.

    1. Option A: 32
    2. Option B: 31
    3. Option C: 30
    4. Option D: 29
    Show the answer to question 6

    Answer: B, 31

    The sum is 155 and there are 5 numbers, so the mean is 155 ÷ 5 = 31.

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