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JAMB UTME Mathematics 2006 past questions and answers

This 2006 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 2006 set with instant marking.

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Sample JAMB UTME Mathematics 2006 questions

1. y varies directly as x and inversely as z. If y = 12 when x = 6 and z = 2, what is y when x = 9 and z = 3?
  1. 12
  2. 9
  3. 18
  4. 6

Answer: A. 12

Since y = kx/z, the given values give k = 4 and hence y = 4(9)/3 = 12.

2. What is the product of the roots of x^2 - 7x + 10 = 0?
  1. 7
  2. 10
  3. -10
  4. -7

Answer: B. 10

For ax^2 + bx + c = 0, the product of the roots is c/a, which here is 10.

3. Solve 3x - 5 < 7.
  1. x > 4
  2. x < -4
  3. x < 4
  4. x > -4

Answer: C. x < 4

Adding 5 and dividing by 3 gives x < 4.

4. The first term of an arithmetic progression is 5 and its common difference is 4; what is its 12th term?
  1. 45
  2. 48
  3. 53
  4. 49

Answer: D. 49

The 12th term is 5 + 11(4) = 49.

5. What is the 6th term of the geometric progression 3, 6, 12, ...?
  1. 96
  2. 48
  3. 192
  4. 36

Answer: A. 96

The common ratio is 2, so the 6th term is 3(2^5) = 96.

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