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JAMB UTME Mathematics 2005 past questions and answers

This 2005 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 2005 set with instant marking.

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Sample JAMB UTME Mathematics 2005 questions

1. Simplify (x^2 - 9)/(x^2 - 3x), where x is not 0 or 3.
  1. (x + 3)/x
  2. (x - 3)/x
  3. x/(x + 3)
  4. (x + 3)/(x - 3)

Answer: A. (x + 3)/x

Factor the numerator as (x - 3)(x + 3) and the denominator as x(x - 3), then cancel x - 3.

2. If 2^(x+1) = 16, find x.
  1. 2
  2. 3
  3. 4
  4. 5

Answer: B. 3

Since 16 = 2^4, equating exponents gives x + 1 = 4, so x = 3.

3. Evaluate log_10(0.001).
  1. -1
  2. -2
  3. 3
  4. -3

Answer: D. -3

Because 0.001 = 10^-3, its common logarithm is -3.

4. Find the 12th term of the arithmetic progression 5, 9, 13, ... .
  1. 45
  2. 47
  3. 49
  4. 53

Answer: C. 49

The nth term is 5 + (n - 1)4, so the 12th term is 5 + 44 = 49.

5. In a class of 40 students, 22 study French, 18 study Hausa and 7 study both; how many study neither language?
  1. 5
  2. 7
  3. 9
  4. 11

Answer: B. 7

The number studying at least one is 22 + 18 - 7 = 33, leaving 40 - 33 = 7.

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