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JAMB UTME Mathematics 2003 past questions and answers

This 2003 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 2003 set with instant marking.

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Sample JAMB UTME Mathematics 2003 questions

1. y varies directly as the square of x. If y = 45 when x = 3, find y when x = 4.
  1. 60
  2. 72
  3. 80
  4. 90

Answer: C. 80

Since y = kx^2 and 45 = 9k, k = 5, so y = 5(4^2) = 80.

2. Evaluate log base 2 of 32.
  1. 5
  2. 4
  3. 16
  4. 6

Answer: A. 5

Because 2^5 = 32, log base 2 of 32 is 5.

3. Solve the inequality 3(2x - 1) < 5x + 7.
  1. x > 10
  2. x < -10
  3. x > -10
  4. x < 10

Answer: D. x < 10

Expanding and collecting terms gives 6x - 3 < 5x + 7, hence x < 10.

4. Find the 12th term of the arithmetic progression 7, 11, 15, ... .
  1. 47
  2. 51
  3. 55
  4. 59

Answer: B. 51

The common difference is 4, so the 12th term is 7 + 11(4) = 51.

5. In a class, 20 students study French, 15 study Hausa and 7 study both; how many study at least one of the two languages?
  1. 42
  2. 28
  3. 35
  4. 22

Answer: B. 28

The number studying at least one language is 20 + 15 - 7 = 28.

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