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JAMB UTME 2019

JAMB Mathematics 2019 past questions

7 objective questions from the 2019 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Sets

    If P = {1, 2, 3, 4} and Q = {3, 4, 5}, find P ∩ Q.

    1. Option A: {1, 2}
    2. Option B: {3, 4}
    3. Option C: {1, 2, 3, 4, 5}
    4. Option D: {5}
    Show the answer to question 1

    Answer: B, {3, 4}

    The intersection holds the elements in both sets: 3 and 4.

  2. Question 2

    Mensuration

    Find the area of a circle of radius 21 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 132 cm²
    2. Option B: 1,386 cm²
    3. Option C: 2,772 cm²
    4. Option D: 66 cm²
    Show the answer to question 2

    Answer: B, 1,386 cm²

    Area = $\pi r^2$ = 22/7 × 21 × 21 = 1,386 cm².

  3. Question 3

    Percentages

    A trader bought a radio for ₦4,000 and sold it for ₦5,600. Find the percentage profit.

    1. Option A: 28.6%
    2. Option B: 45%
    3. Option C: 80%
    4. Option D: 40%
    Show the answer to question 3

    Answer: D, 40%

    Profit = ₦1,600. Percentage profit = 1,600 ÷ 4,000 × 100 = 40%.

  4. Question 4

    Linear equations

    Solve for $x$: $2x + 3 = 7$.

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

    Answer: C, x = 2

    Subtract 3 from both sides to get 2x = 4, then divide by 2: x = 2.

  5. Question 5

    Simple interest

    Find the simple interest on ₦20,000 for 4 years at 15% per annum.

    1. Option A: ₦12,000
    2. Option B: ₦32,000
    3. Option C: ₦3,000
    4. Option D: ₦24,000
    Show the answer to question 5

    Answer: A, ₦12,000

    I = PRT ÷ 100 = 20,000 × 15 × 4 ÷ 100 = ₦12,000.

  6. Question 6

    Probability

    A bag contains 3 red, 6 blue, and 8 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{6}{17}$
    2. Option B: $\frac{3}{17}$
    3. Option C: $\frac{8}{17}$
    4. Option D: $\frac{6}{11}$
    Show the answer to question 6

    Answer: A, $\frac{6}{17}$

    There are 6 blue balls out of 17, so the probability is $\frac{6}{17}$.

  7. Question 7

    Quadratic equations

    Solve the equation $x^2 - 11x + 28 = 0$.

    1. Option A: x = -4 or x = -7
    2. Option B: x = -4 or x = 7
    3. Option C: x = 4 or x = 7
    4. Option D: x = 4 or x = -7
    Show the answer to question 7

    Answer: C, x = 4 or x = 7

    The equation factorises as $(x - 4)(x - 7) = 0$, so x = 4 or x = 7.

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