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JAMB UTME Mathematics 2016 past questions and answers

This 2016 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 2016 set with instant marking.

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Sample JAMB UTME Mathematics 2016 questions

1. The point (3, -2) is reflected in the y-axis. What are its new coordinates?
  1. (-3, -2)
  2. (3, 2)
  3. (-3, 2)
  4. (2, -3)

Answer: A. (-3, -2)

Reflection in the y-axis changes the sign of the x-coordinate only.

2. A point (2, -1) is rotated 90 degrees anticlockwise about the origin. What are its new coordinates?
  1. (-1, -2)
  2. (1, 2)
  3. (-2, 1)
  4. (2, 1)

Answer: B. (1, 2)

A 90-degree anticlockwise rotation maps (x, y) to (-y, x), giving (1, 2).

3. If a = (2, -1) and b = (-3, 4), what is 2a + b?
  1. (7, -6)
  2. (-1, 2)
  3. (1, 2)
  4. (1, -2)

Answer: C. (1, 2)

Since 2a = (4, -2), adding b gives (4 - 3, -2 + 4) = (1, 2).

4. A bag contains 3 red balls and 2 blue balls; two balls are drawn at random without replacement. What is the probability that both are red?
  1. 1/5
  2. 2/5
  3. 1/2
  4. 3/10

Answer: D. 3/10

The probability is (3/5)(2/4) = 3/10.

5. Find the mean of 4, 7, 9 and 10.
  1. 7.5
  2. 7
  3. 8
  4. 30

Answer: A. 7.5

The sum is 30 and 30 divided by 4 is 7.5.

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