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JAMB UTME 2016

JAMB Mathematics 2016 past questions

6 objective questions from the 2016 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Indices

    Evaluate $2^{6} \times 2^{3}$.

    1. Option A: 262144
    2. Option B: 512
    3. Option C: 256
    4. Option D: 18
    Show the answer to question 1

    Answer: B, 512

    Add the indices: $2^{6} \times 2^{3} = 2^{9} = 512$.

  2. Question 2

    Quadratic equations

    Solve the equation $x^2 - 3x + 2 = 0$.

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

    Answer: B, x = 1 or x = 2

    The equation factorises as $(x - 1)(x - 2) = 0$, so x = 1 or x = 2.

  3. Question 3

    Statistics

    Find the mean of 29, 34, 36, 38, 28.

    1. Option A: 34
    2. Option B: 32
    3. Option C: 33
    4. Option D: 165
    Show the answer to question 3

    Answer: C, 33

    The sum is 165 and there are 5 numbers, so the mean is 165 ÷ 5 = 33.

  4. Question 4

    Percentages

    A trader bought a radio for ₦2,500 and sold it for ₦3,000. Find the percentage profit.

    1. Option A: 20%
    2. Option B: 16.7%
    3. Option C: 25%
    4. Option D: 40%
    Show the answer to question 4

    Answer: A, 20%

    Profit = ₦500. Percentage profit = 500 ÷ 2,500 × 100 = 20%.

  5. Question 5

    Simple interest

    Find the simple interest on ₦12,500 for 5 years at 12% per annum.

    1. Option A: ₦20,000
    2. Option B: ₦1,500
    3. Option C: ₦15,000
    4. Option D: ₦7,500
    Show the answer to question 5

    Answer: D, ₦7,500

    I = PRT ÷ 100 = 12,500 × 12 × 5 ÷ 100 = ₦7,500.

  6. Question 6

    Probability

    A bag contains 4 red, 7 blue, and 8 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{7}{19}$
    2. Option B: $\frac{4}{19}$
    3. Option C: $\frac{8}{19}$
    4. Option D: $\frac{7}{12}$
    Show the answer to question 6

    Answer: A, $\frac{7}{19}$

    There are 7 blue balls out of 19, so the probability is $\frac{7}{19}$.

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