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JAMB UTME Mathematics 2008 past questions and answers

This 2008 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 2008 set with instant marking.

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Sample JAMB UTME Mathematics 2008 questions

1. An angle at the centre of a circle subtended by an arc is 124 degrees. What is the angle at the circumference subtended by the same arc?
  1. 62 degrees
  2. 124 degrees
  3. 56 degrees
  4. 248 degrees

Answer: A. 62 degrees

The angle at the circumference is half the angle at the centre, so it is 124/2 = 62 degrees.

2. In a right-angled triangle, the side opposite angle theta is 9 cm and the hypotenuse is 15 cm; find sin(theta).
  1. 5/3
  2. 4/5
  3. 3/5
  4. 2/3

Answer: C. 3/5

By definition, sin(theta) = opposite/hypotenuse = 9/15 = 3/5.

3. Find the area of a 90-degree sector of a circle of radius 7 cm, using pi = 22/7.
  1. 77 cm^2
  2. 44 cm^2
  3. 154 cm^2
  4. 38.5 cm^2

Answer: D. 38.5 cm^2

The sector is one quarter of the circle, so its area is (1/4)(22/7)(7^2) = 38.5 cm^2.

4. Find the arithmetic mean of 4, 7, 11 and 14.
  1. 8
  2. 9
  3. 10
  4. 11

Answer: B. 9

The sum is 36 and 36 divided by 4 is 9.

5. Two fair six-sided dice are thrown together; what is the probability that their scores add up to 8?
  1. 1/6
  2. 7/36
  3. 5/36
  4. 1/9

Answer: C. 5/36

The five favourable ordered outcomes are (2,6), (3,5), (4,4), (5,3) and (6,2), out of 36 equally likely outcomes.

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