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JAMB UTME Mathematics 2018 past questions and answers

This 2018 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 2018 set with instant marking.

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Sample JAMB UTME Mathematics 2018 questions

1. A trader marks a radio at N240. What is the price after a discount of 15%?
  1. N204
  2. N206
  3. N216
  4. N225

Answer: A. N204

The discount is 0.15 x 240 = N36, so the price is N240 - N36 = N204.

2. A sum of N540 is shared among three people in the ratio 2:3:4. How much does the person with the middle share receive?
  1. N120
  2. N180
  3. N240
  4. N300

Answer: B. N180

The ratio has 9 parts, each worth N540/9 = N60, so the middle share is 3 x N60 = N180.

3. Evaluate (2^3 x 2^-1)^2.
  1. 8
  2. 12
  3. 16
  4. 32

Answer: C. 16

Inside the brackets, 2^3 x 2^-1 = 2^2 = 4, and 4^2 = 16.

4. Evaluate log base 2 of 32 + log base 2 of (1/4).
  1. 2
  2. 4
  3. 1
  4. 3

Answer: D. 3

The two logarithms are 5 and -2 respectively, so their sum is 3.

5. Simplify sqrt(72) - sqrt(8).
  1. 4sqrt(2)
  2. 8sqrt(2)
  3. 2sqrt(2)
  4. 4sqrt(5)

Answer: A. 4sqrt(2)

Since sqrt(72) = 6sqrt(2) and sqrt(8) = 2sqrt(2), their difference is 4sqrt(2).

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