PassSparkJAMB UTME Mathematics 2026 past questions and answers
This 2026 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 2026 set with instant marking.
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Sample JAMB UTME Mathematics 2026 questions
1. A bag contains 5 red and 3 blue counters. Two counters are selected at random without replacement. What is the probability that both are blue?
- 1/4
- 3/8
- 3/28
- 1/7
Answer: C. 3/28
The probability is (3/8)(2/7) = 6/56 = 3/28.
2. The mean of five numbers is 8. Four of the numbers are 4, 7, 8 and 11. What is the fifth number?
- 10
- 8
- 12
- 9
Answer: A. 10
The total of the five numbers is 5 x 8 = 40, while the known four sum to 30, so the missing number is 10.
3. A variable takes the values 2, 4, 6 and 8 with frequencies 3, 5, 4 and 2 respectively. What is the median?
- 3
- 3.5
- 5
- 4
Answer: D. 4
There are 14 observations, so the median is the mean of the 7th and 8th observations; both are 4.
4. Two fair six-sided dice are thrown once. What is the probability that their scores sum to 9?
- 1/6
- 1/9
- 1/12
- 1/18
Answer: B. 1/9
The four favourable outcomes are (3,6), (4,5), (5,4) and (6,3), out of 36 equally likely outcomes, giving 4/36 = 1/9.
5. The values 2, 3, 4, 5 and 6 occur with frequencies 1, 3, 5, 4 and 2 respectively. What is the median value?
- 3
- 3.5
- 4
- 5
Answer: C. 4
There are 15 observations, and the 8th observation is the median; cumulative frequency reaches 9 at value 4.
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