O Level & A Level Mathematics (Cambridge)

O Level Mathematics — Statistics and Probability, Set 2

Take the O Level Mathematics — Statistics and Probability, Set 2: 20 multiple-choice questions (30 minutes) with instant scoring and a full answer review.…

What this test covers

• 20 O Level Mathematics

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

1. Q1. What is the mean of 12, 15, 18, 21 and 24?

   • A. 15
   • B. 18 ✓
   • C. 21
   • D. 90

   Answer: B. 18

   Explanation: 90 ÷ 5 = 18.

2. Q2. What is the median of 7, 3, 9, 4, 6 and 8?

   • A. 7
   • B. 6.2
   • C. 6
   • D. 6.5 ✓

   Answer: D. 6.5

   Explanation: In order: 3, 4, 6, 7, 8, 9. The median is (6 + 7) ÷ 2 = 6.5.

3. Q3. The mean of 5, 8, x and 11 is 9. Find x.

   • A. 24
   • B. 9
   • C. 12 ✓
   • D. 36

   Answer: C. 12

   Explanation: The total is 36, and 36 − 24 = 12.

4. Q4. Estimate the mean from this grouped data: class 0–10 has frequency 4, class 10–20 has frequency 6.

   • A. 12
   • B. 11 ✓
   • C. 10
   • D. 15

   Answer: B. 11

   Explanation: Use mid-points: (5 × 4 + 15 × 6) ÷ 10 = 110 ÷ 10 = 11.

5. Q5. The histogram has unequal class widths. How many values are in the class 20–40 minutes?

   
   • A. 40 ✓
   • B. 2
   • C. 20
   • D. 60

   Answer: A. 40

   Explanation: Frequency = frequency density × class width = 2 × 20 = 40.

The other 15 questions

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6. Q6. Using the same histogram, what is the total frequency?

   
   • A. 70
   • B. 90
   • C. 100
   • D. 7

7. Q7. A letter is chosen at random from the word MATHEMATICS. What is the probability that it is M?

   • A. 2/9
   • B. 1/11
   • C. 1/10
   • D. 2/11

8. Q8. A fair coin is tossed 3 times. What is the probability of at least one head?

   • A. 7/8
   • B. 1/2
   • C. 1/8
   • D. 3/8

9. Q9. Spinner A shows 1, 2, 3 or 4 and spinner B shows 1, 2 or 3, each equally likely. What is the probability that their total is 5?

   • A. 1/6
   • B. 1/3
   • C. 1/4
   • D. 3/7

10. Q10. The probability of rain on any day is 0.3, independently. What is the probability of rain on both of two days?

    • A. 0.3
    • B. 0.6
    • C. 0.09
    • D. 0.49

11. Q11. With the same probability of rain (0.3 each day), what is the probability of rain on exactly one of two days?

    • A. 0.42
    • B. 0.3
    • C. 0.58
    • D. 0.21

12. Q12. In a group of 30, 12 are in set A, 15 in set B and 5 in both. How many are in neither?

    • A. 13
    • B. 22
    • C. 8
    • D. 3

13. Q13. In the same group (30 people; 12 in A, 15 in B, 5 in both), what is the probability that a person chosen at random is in A only?

    • A. 12/30
    • B. 7/30
    • C. 17/30
    • D. 5/30

14. Q14. For 15 values arranged in order, which position gives the median?

    • A. 8th
    • B. 7.5th
    • C. 7th
    • D. 15th

15. Q15. Of 60 students, 45 scored 70 or less. What percentage scored more than 70?

    • A. 45%
    • B. 15%
    • C. 75%
    • D. 25%

16. Q16. Shoe size is an example of which type of data?

    • A. Discrete
    • B. Bivariate
    • C. Qualitative
    • D. Continuous

17. Q17. 10 boys have a mean mark of 60 and 15 girls have a mean mark of 70. What is the mean mark of all 25?

    • A. 65
    • B. 64
    • C. 66
    • D. 68

18. Q18. What is the probability of an event that is certain to happen?

    • A. 0.5
    • B. 0
    • C. 100
    • D. 1

19. Q19. On a pie chart, an angle of 90° represents 45 people. How many people does the whole chart represent?

    • A. 135
    • B. 90
    • C. 360
    • D. 180

20. Q20. A drawing pin lands point up 132 times in 300 throws. Estimate the probability that it lands point up.

    • A. 0.3
    • B. 0.44
    • C. 0.132
    • D. 0.56