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JAMB UTME Mathematics 2019 past questions and answers

This 2019 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 2019 set with instant marking.

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Sample JAMB UTME Mathematics 2019 questions

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

Answer: B. 3

Since 16 = 2^4, x + 1 = 4 and x = 3.

2. Solve log_2(x - 1) + log_2(x + 1) = 3.
  1. 1
  2. 2
  3. 4
  4. 3

Answer: D. 3

Combining the logarithms gives log_2(x^2 - 1) = 3, so x^2 = 9, and the domain x > 1 leaves x = 3.

3. Simplify sqrt(50) - 2sqrt(8).
  1. sqrt(2)
  2. 2sqrt(2)
  3. 3sqrt(2)
  4. 7sqrt(2)

Answer: A. sqrt(2)

sqrt(50) - 2sqrt(8) = 5sqrt(2) - 4sqrt(2) = sqrt(2).

4. If n(A) = 25, n(B) = 18 and n(A intersection B) = 9, find n(A union B).
  1. 35
  2. 43
  3. 34
  4. 52

Answer: C. 34

Using n(A union B) = n(A) + n(B) - n(A intersection B), the result is 25 + 18 - 9 = 34.

5. The first term of an arithmetic progression is 5 and its common difference is 4; find its 17th term.
  1. 65
  2. 67
  3. 68
  4. 69

Answer: D. 69

The 17th term is 5 + (17 - 1)4 = 69.

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