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JAMB UTME 2018

JAMB Mathematics 2018 past questions

7 objective questions from the 2018 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Simple interest

    Find the simple interest on ₦5,000 for 3 years at 4% per annum.

    1. Option A: ₦200
    2. Option B: ₦400
    3. Option C: ₦600
    4. Option D: ₦800
    Show the answer to question 1

    Answer: C, ₦600

    I = PRT/100 = 5,000 × 4 × 3 ÷ 100 = ₦600.

  2. Question 2

    Probability

    A bag contains 2 red, 4 blue, and 5 green balls. A ball is picked at random. What is the probability that it is blue?

    1. Option A: $\frac{2}{11}$
    2. Option B: $\frac{5}{11}$
    3. Option C: $\frac{4}{7}$
    4. Option D: $\frac{4}{11}$
    Show the answer to question 2

    Answer: D, $\frac{4}{11}$

    There are 4 blue balls out of 11, so the probability is $\frac{4}{11}$.

  3. Question 3

    Indices

    Evaluate $2^{3} \times 2^{4}$.

    1. Option A: 128
    2. Option B: 4096
    3. Option C: 64
    4. Option D: 16384
    Show the answer to question 3

    Answer: A, 128

    Add the indices: $2^{3} \times 2^{4} = 2^{7} = 128$.

  4. Question 4

    Quadratic equations

    Solve the equation $x^2 - 7x + 12 = 0$.

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

    Answer: B, x = 3 or x = 4

    The equation factorises as $(x - 3)(x - 4) = 0$, so x = 3 or x = 4.

  5. Question 5

    Simple interest

    Find the simple interest on ₦17,500 for 3 years at 4% per annum.

    1. Option A: ₦19,600
    2. Option B: ₦2,100
    3. Option C: ₦700
    4. Option D: ₦4,200
    Show the answer to question 5

    Answer: B, ₦2,100

    I = PRT ÷ 100 = 17,500 × 4 × 3 ÷ 100 = ₦2,100.

  6. Question 6

    Mensuration

    Find the volume of a cylinder of radius 14 cm and height 6 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 616 cm³
    2. Option B: 3,696 cm³
    3. Option C: 7,392 cm³
    4. Option D: 528 cm³
    Show the answer to question 6

    Answer: B, 3,696 cm³

    Volume = $\pi r^2 h$ = 22/7 × 14² × 6 = 3,696 cm³.

  7. Question 7

    Percentages

    A trader bought a radio for ₦3,500 and sold it for ₦4,550. Find the percentage profit.

    1. Option A: 30%
    2. Option B: 23.1%
    3. Option C: 35%
    4. Option D: 60%
    Show the answer to question 7

    Answer: A, 30%

    Profit = ₦1,050. Percentage profit = 1,050 ÷ 3,500 × 100 = 30%.

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