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JAMB UTME Mathematics 2014 past questions and answers

This 2014 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 2014 set with instant marking.

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Sample JAMB UTME Mathematics 2014 questions

1. Find the mean of 4, 7, 9, 12 and 18.
  1. 10
  2. 9
  3. 11
  4. 12

Answer: A. 10

The sum is 50, and 50 divided by 5 is 10.

2. Two fair coins are tossed together; what is the probability of obtaining exactly one head?
  1. 1/4
  2. 1/2
  3. 3/4
  4. 1

Answer: B. 1/2

The equally likely outcomes are HH, HT, TH and TT, and two of them have exactly one head.

3. What is the magnitude of the vector (3, 4)?
  1. 4
  2. 6
  3. 5
  4. 7

Answer: C. 5

The magnitude is sqrt(3^2 + 4^2) = sqrt(25) = 5.

4. Find the gradient of the straight line through (2, 1) and (6, 9).
  1. 1/2
  2. 4
  3. 8
  4. 2

Answer: D. 2

The gradient is (9 - 1)/(6 - 2) = 8/4 = 2.

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

Answer: A. 8

Since f'(x) = 6x - 4, f'(2) = 12 - 4 = 8.

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