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JAMB UTME Mathematics 2021 past questions and answers

This 2021 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 2021 set with instant marking.

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Sample JAMB UTME Mathematics 2021 questions

1. Solve 3(2x - 1) = 5x + 7.
  1. 8
  2. 9
  3. 10
  4. 11

Answer: C. 10

Expanding gives 6x - 3 = 5x + 7, so x = 10.

2. If x + y = 11 and 2x - y = 7, what is x - y?
  1. 1
  2. 2
  3. 3
  4. 4

Answer: A. 1

Adding the equations gives x = 6 and then y = 5, so x - y = 1.

3. Find the solution of 4 - 3x < 10.
  1. x < -2
  2. x < 2
  3. x > 2
  4. x > -2

Answer: D. x > -2

Subtracting 4 and dividing by -3 reverses the inequality, giving x > -2.

4. y varies directly as the square of x and inversely as z; if y = 18 when x = 3 and z = 2, find y when x = 2 and z = 4.
  1. 2
  2. 4
  3. 6
  4. 8

Answer: B. 4

Using y = kx^2/z gives k = 4, so the required value is 4(2^2)/4 = 4.

5. An arithmetic progression has first term 5 and common difference 3; what is its 12th term?
  1. 35
  2. 36
  3. 38
  4. 41

Answer: C. 38

The 12th term is 5 + 11(3) = 38.

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