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JAMB UTME Mathematics 2013 past questions and answers

This 2013 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 2013 set with instant marking.

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Sample JAMB UTME Mathematics 2013 questions

1. The values 4, 6, 7, 9 and 14 form a data set. What is their arithmetic mean?
  1. 7
  2. 8
  3. 8.5
  4. 9

Answer: B. 8

Their sum is 40, and 40 divided by the five values is 8.

2. Two fair six-sided dice are thrown together. What is the probability that their scores sum to 9?
  1. 1/9
  2. 1/6
  3. 1/12
  4. 1/4

Answer: A. 1/9

There are four outcomes summing to 9 among 36 equally likely outcomes, so the probability is 4/36 = 1/9.

3. A variable takes values 1, 2, 3 and 4 with frequencies 2, 3, 5 and 2 respectively. What is the median?
  1. 2
  2. 2.5
  3. 3
  4. 3.5

Answer: C. 3

The 6th and 7th observations are both 3, so the median is 3.

4. A bag contains 4 blue counters and 3 yellow counters. Two counters are drawn one after the other without replacement; what is the probability that both are blue?
  1. 1/7
  2. 3/7
  3. 1/3
  4. 2/7

Answer: D. 2/7

The probability is (4/7)(3/6) = 12/42 = 2/7.

5. A histogram class has width 5 and represents a frequency of 20. What is its frequency density?
  1. 2
  2. 4
  3. 5
  4. 25

Answer: B. 4

Frequency density is frequency divided by class width, so 20/5 = 4.

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