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JAMB UTME Mathematics 2012 past questions and answers

This 2012 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 2012 set with instant marking.

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Sample JAMB UTME Mathematics 2012 questions

1. A bag contains 4 red, 3 blue and 2 green balls. Two balls are drawn one after the other without replacement. What is the probability that both are blue?
  1. 1/9
  2. 1/12
  3. 1/6
  4. 1/4

Answer: B. 1/12

The probability is (3/9) × (2/8) = 1/12.

2. The values 2, 4, 6 and 8 have respective frequencies 1, 2, 3 and 4. What is their mean?
  1. 5
  2. 5.5
  3. 6
  4. 6.5

Answer: C. 6

The weighted mean is (2×1 + 4×2 + 6×3 + 8×4)/(1+2+3+4) = 60/10 = 6.

3. If a = (2, -1) and b = (-3, 4), what is 2a + b?
  1. (1, 6)
  2. (7, 2)
  3. (-1, 2)
  4. (1, 2)

Answer: D. (1, 2)

Since 2a = (4, -2), adding b gives (4-3, -2+4) = (1, 2).

4. If f(x) = 3x^2 - 4x + 5, what is f'(2)?
  1. 8
  2. 6
  3. 10
  4. 12

Answer: A. 8

Differentiating gives f'(x) = 6x - 4, so f'(2) = 8.

5. Evaluate the definite integral of 6x - 2 from x = 0 to x = 2.
  1. 6
  2. 8
  3. 10
  4. 12

Answer: B. 8

An antiderivative is 3x^2 - 2x, whose value from 0 to 2 is 12 - 4 = 8.

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