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JAMB UTME Mathematics 2015 past questions and answers

This 2015 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 2015 set with instant marking.

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Sample JAMB UTME Mathematics 2015 questions

1. The marks of five students are 3, 5, 7, 9 and 11; what is their mean mark?
  1. 6
  2. 6.5
  3. 7
  4. 7.5

Answer: C. 7

The sum is 35, and 35 divided by 5 is 7.

2. Two fair dice are thrown together; what is the probability that their scores sum to 9?
  1. 1/9
  2. 1/6
  3. 1/4
  4. 1/3

Answer: A. 1/9

There are four favourable pairs out of 36 equally likely outcomes, so the probability is 4/36 = 1/9.

3. If vector a = (3, 4) and vector b = (-1, 2), what is a + b?
  1. (4, 2)
  2. (2, -6)
  3. (-3, 6)
  4. (2, 6)

Answer: D. (2, 6)

Add corresponding components to obtain (3 - 1, 4 + 2) = (2, 6).

4. If y = 3x^2 - 4x + 1, what is dy/dx when x = 2?
  1. 6
  2. 8
  3. 10
  4. 12

Answer: B. 8

Differentiating gives dy/dx = 6x - 4, which is 8 at x = 2.

5. Evaluate the definite integral of 6x - 2 from x = 1 to x = 3.
  1. 16
  2. 18
  3. 19
  4. 20

Answer: D. 20

An antiderivative is 3x^2 - 2x, and its values at 3 and 1 differ by 20.

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