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JAMB UTME Mathematics 2002 past questions and answers

This 2002 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 2002 set with instant marking.

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Sample JAMB UTME Mathematics 2002 questions

1. If A = {1, 2, 3, 4} and B = {3, 4, 5}, how many elements are in A union B?
  1. 5
  2. 6
  3. 7
  4. 8

Answer: A. 5

The union contains the distinct elements 1, 2, 3, 4 and 5.

2. Evaluate (2^3 x 2^-1) / 2^1.
  1. 1
  2. 2
  3. 4
  4. 8

Answer: B. 2

Adding and subtracting the exponents gives 2^(3 - 1 - 1) = 2.

3. What is log10(0.01)?
  1. 2
  2. -1
  3. -2
  4. 0

Answer: C. -2

Since 0.01 = 10^-2, its logarithm to base 10 is -2.

4. If y varies directly as x and y = 18 when x = 6, what is y when x = 10?
  1. 24
  2. 27
  3. 28
  4. 30

Answer: D. 30

The constant of variation is 18/6 = 3, so y = 3 x 10 = 30.

5. Factorise 6x^2 - x - 2 completely.
  1. (3x - 2)(2x + 1)
  2. (3x + 2)(2x - 1)
  3. (6x + 1)(x - 2)
  4. (2x - 2)(3x + 1)

Answer: A. (3x - 2)(2x + 1)

Expanding (3x - 2)(2x + 1) gives 6x^2 - x - 2.

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