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JAMB UTME Mathematics 2004 past questions and answers

This 2004 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 2004 set with instant marking.

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Sample JAMB UTME Mathematics 2004 questions

1. The first term of an arithmetic progression is 5 and its common difference is 3. What is its 10th term?
  1. 32
  2. 30
  3. 35
  4. 29

Answer: A. 32

The 10th term is 5 + 9(3) = 32.

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

Answer: B. 5

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

3. If 2x + y = 7 and x - y = 2, what is the value of x?
  1. 1
  2. 2
  3. 3
  4. 4

Answer: C. 3

Adding the equations gives 3x = 9, so x = 3.

4. Find the determinant of the matrix with rows (3, 2) and (5, 4).
  1. -2
  2. 10
  3. 22
  4. 2

Answer: D. 2

The determinant is (3 x 4) - (2 x 5) = 2.

5. If u = (2, -1) and v = (3, 4), find the scalar product u dot v.
  1. 2
  2. -2
  3. 14
  4. 5

Answer: A. 2

The scalar product is 2(3) + (-1)(4) = 2.

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