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JAMB UTME Mathematics 2010 past questions and answers

This 2010 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 2010 set with instant marking.

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Sample JAMB UTME Mathematics 2010 questions

1. A box contains 4 red, 3 blue and 2 green counters. Two counters are drawn at random without replacement. What is the probability that both are the same colour?
  1. 5/18
  2. 1/3
  3. 7/18
  4. 1/2

Answer: A. 5/18

There are 6 + 3 + 1 = 10 favourable pairs among the 36 possible pairs, so the probability is 10/36 = 5/18.

2. What is the arithmetic mean of 2, 4, 4, 5 and 10?
  1. 4
  2. 5
  3. 6
  4. 25

Answer: B. 5

The sum is 25 and 25 divided by 5 values gives a mean of 5.

3. For 0° ≤ θ ≤ 180°, which values of θ satisfy 2 sin θ = sqrt(3)?
  1. 30° and 150°
  2. 45° and 135°
  3. 60° and 120°
  4. 60° only

Answer: C. 60° and 120°

The equation gives sin θ = sqrt(3)/2, which occurs at 60° and 120° in the stated interval.

4. Find the gradient of the straight line through the points (2, -1) and (6, 7).
  1. -2
  2. 1/2
  3. 4
  4. 2

Answer: D. 2

The gradient is (7 - (-1))/(6 - 2) = 8/4 = 2.

5. What is the magnitude of the vector (3, 4)?
  1. 5
  2. 7
  3. 12
  4. 25

Answer: A. 5

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

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