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JAMB UTME 2020

JAMB Mathematics 2020 past questions

7 objective questions from the 2020 JAMB Mathematics paper. Answer each one, then reveal the answer and explanation.

All JAMB Mathematics past questions

  1. Question 1

    Number bases

    Convert 1011₂ to base ten.

    1. Option A: 9
    2. Option B: 10
    3. Option C: 11
    4. Option D: 13
    Show the answer to question 1

    Answer: C, 11

    1×8 + 0×4 + 1×2 + 1×1 = 11.

  2. Question 2

    Probability

    A bag contains 4 red, 5 blue, and 6 green balls. A ball is picked at random. What is the probability that it is blue?

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

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

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

  3. Question 3

    Statistics

    Find the mean of 10, 12, 15, 17, 21.

    1. Option A: 15
    2. Option B: 16
    3. Option C: 14
    4. Option D: 75
    Show the answer to question 3

    Answer: A, 15

    The sum is 75 and there are 5 numbers, so the mean is 75 ÷ 5 = 15.

  4. Question 4

    Mensuration

    Find the volume of a cylinder of radius 28 cm and height 8 cm. (Take $\pi = \frac{22}{7}$.)

    1. Option A: 2,464 cm³
    2. Option B: 39,424 cm³
    3. Option C: 1,408 cm³
    4. Option D: 19,712 cm³
    Show the answer to question 4

    Answer: D, 19,712 cm³

    Volume = $\pi r^2 h$ = 22/7 × 28² × 8 = 19,712 cm³.

  5. Question 5

    Linear equations

    Solve for $x$: $3x + 10 = 25$.

    1. Option A: x = 6
    2. Option B: x = 5
    3. Option C: x = 4
    4. Option D: x = 11.67
    Show the answer to question 5

    Answer: B, x = 5

    Subtract 10 from both sides to get 3x = 15, then divide by 3: x = 5.

  6. Question 6

    Percentages

    A trader bought a radio for ₦4,500 and sold it for ₦6,750. Find the percentage profit.

    1. Option A: 33.3%
    2. Option B: 50%
    3. Option C: 55%
    4. Option D: 100%
    Show the answer to question 6

    Answer: B, 50%

    Profit = ₦2,250. Percentage profit = 2,250 ÷ 4,500 × 100 = 50%.

  7. Question 7

    Quadratic equations

    Solve the equation $x^2 - 11x + 30 = 0$.

    1. Option A: x = -5 or x = -6
    2. Option B: x = -5 or x = 6
    3. Option C: x = 5 or x = 6
    4. Option D: x = 5 or x = -6
    Show the answer to question 7

    Answer: C, x = 5 or x = 6

    The equation factorises as $(x - 5)(x - 6) = 0$, so x = 5 or x = 6.

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