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JAMB UTME Mathematics 2025 past questions and answers

This 2025 JAMB UTME Mathematics set has 40 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2025 set with instant marking.

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Sample JAMB UTME Mathematics 2025 questions

1. The mean of five numbers 6, 9, 12, 15 and 18 is
  1. 10
  2. 11
  3. 12
  4. 13

Answer: C. 12

Their sum is 60, and 60 divided by 5 is 12.

2. Two fair six-sided dice are thrown together; what is the probability that their scores sum to 8?
  1. 5/36
  2. 1/6
  3. 7/36
  4. 1/4

Answer: A. 5/36

Five of the 36 equally likely ordered outcomes sum to 8.

3. If a = (4, -3) and b = (-1, 5), what is a + b?
  1. (5, -8)
  2. (-5, 8)
  3. (3, -2)
  4. (3, 2)

Answer: D. (3, 2)

Adding corresponding components gives (4 - 1, -3 + 5) = (3, 2).

4. What is the distance between the points (-1, 2) and (5, 10)?
  1. 8
  2. 10
  3. 12
  4. 14

Answer: B. 10

The distance is sqrt(6^2 + 8^2) = sqrt(100) = 10.

5. How many angles θ satisfy sin θ = -1/2 for 0° ≤ θ < 360°?
  1. 1
  2. 3
  3. 2
  4. 4

Answer: C. 2

The solutions in this interval are 210° and 330°, so there are two.

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