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JAMB UTME 2017

JAMB Mathematics 2017 past questions

6 objective questions from the 2017 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Probability

    A bag contains 5 red, 6 blue, and 8 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{5}{19}$
    2. Option B: $\frac{6}{19}$
    3. Option C: $\frac{8}{19}$
    4. Option D: $\frac{6}{13}$
    Show the answer to question 1

    Answer: B, $\frac{6}{19}$

    There are 6 blue balls out of 19, so the probability is $\frac{6}{19}$.

  2. Question 2

    Percentages

    A trader bought a radio for ₦3,000 and sold it for ₦3,750. Find the percentage profit.

    1. Option A: 25%
    2. Option B: 20%
    3. Option C: 30%
    4. Option D: 50%
    Show the answer to question 2

    Answer: A, 25%

    Profit = ₦750. Percentage profit = 750 ÷ 3,000 × 100 = 25%.

  3. Question 3

    Mensuration

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

    1. Option A: 44 cm²
    2. Option B: 308 cm²
    3. Option C: 22 cm²
    4. Option D: 154 cm²
    Show the answer to question 3

    Answer: D, 154 cm²

    Area = $\pi r^2$ = 22/7 × 7 × 7 = 154 cm².

  4. Question 4

    Indices

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

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

    Answer: C, $x^{5}$

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

  5. Question 5

    Quadratic equations

    Solve the equation $x^2 - 7x + 10 = 0$.

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

    Answer: D, x = 2 or x = 5

    The equation factorises as $(x - 2)(x - 5) = 0$, so x = 2 or x = 5.

  6. Question 6

    Simple interest

    Find the simple interest on ₦15,000 for 2 years at 6% per annum.

    1. Option A: ₦1,800
    2. Option B: ₦16,800
    3. Option C: ₦900
    4. Option D: ₦3,600
    Show the answer to question 6

    Answer: A, ₦1,800

    I = PRT ÷ 100 = 15,000 × 6 × 2 ÷ 100 = ₦1,800.

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