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Secondary 1 Mathematics Statistics Probability Quiz
Free Exam-Derived Secondary 1 Mathematics Statistics Probability quiz with questions and answers for Singapore students. This page is rendered as a direct URL so the questions and answers can be discovered without pressing in-page buttons.
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Questions
Secondary 1 Mathematics Quiz - Statistics Probability
Name: _________________ Class: _________________ Date: _________________
Score: _____ / 40 Duration: 45 minutes
Instructions
- Answer all questions in the spaces provided.
- Show all working clearly.
- Calculators are allowed.
- Give answers to 3 significant figures where appropriate.
Section A: Data Collection and Representation [10 marks]
1. A survey was conducted on 120 students about their favourite sport. The results are shown in the table below:
| Sport | Football | Basketball | Swimming | Tennis | Others |
|---|---|---|---|---|---|
| Number of students | 36 | 28 | 24 | 18 | 14 |
What percentage of students chose football as their favourite sport? [2 marks]
Answer: _________________%
2. The bar graph below shows the number of books read by students in a class during the holidays.
[THIS IS FIGURE: Bar graph showing:
- 0 books: 4 students
- 1 book: 8 students
- 2 books: 12 students
- 3 books: 10 students
- 4 books: 6 students]
How many students are there in the class? [1 mark]
Answer: _________________
3. A pictogram shows the number of cars sold by a dealer over 5 days:
Monday: ⚫⚫⚫ Tuesday: ⚫⚫⚫⚫⚫ Wednesday: ⚫⚫ Thursday: ⚫⚫⚫⚫ Friday: ⚫⚫⚫⚫⚫⚫
Key: ⚫ represents 4 cars
How many cars were sold on Wednesday? [1 mark]
Answer: _________________
4. The stem-and-leaf diagram shows the test scores of 20 students:
| Stem | Leaf |
|---|---|
| 4 | 2 5 8 |
| 5 | 1 3 6 7 9 |
| 6 | 0 2 4 6 8 8 |
| 7 | 1 3 5 9 |
| 8 | 2 4 |
Key: 4|2 means 42 marks
What is the median score? [2 marks]
Answer: _________________
5. The table shows the heights of students in a class:
| Height (cm) | 140-149 | 150-159 | 160-169 | 170-179 |
|---|---|---|---|---|
| Frequency | 5 | 12 | 8 | 3 |
What is the modal class? [2 marks]
Answer: _________________
Section B: Probability Basics [10 marks]
6. A bag contains 5 red balls, 3 blue balls, and 2 green balls.
What is the probability of drawing a red ball? [2 marks]
Answer: _________________
7. A fair six-sided die is rolled once.
What is the probability of rolling an even number? [2 marks]
Answer: _________________
8. A spinner has 8 equal sections numbered 1 to 8.
What is the probability of spinning a prime number? [2 marks]
Answer: _________________
9. In a class of 30 students, 18 students like Mathematics and 12 students do not like Mathematics.
If a student is chosen at random, what is the probability that the student likes Mathematics? [2 marks]
Answer: _________________
10. A card is drawn at random from a standard deck of 52 playing cards.
What is the probability of drawing a heart? [2 marks]
Answer: _________________
Section C: Data Analysis [10 marks]
11. Calculate the mean of the following data set: 12, 15, 18, 20, 25 [2 marks]
Answer: _________________
12. Find the range of the data: 8, 12, 5, 18, 22, 9, 15 [2 marks]
Answer: _________________
13. The frequency table shows the number of pets owned by families:
| Number of pets | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Frequency | 8 | 15 | 12 | 4 | 1 |
What is the mode? [2 marks]
Answer: _________________
14. A pie chart shows that 30% of students chose pizza, 25% chose burgers, 20% chose pasta, and the rest chose salad. If 120 students were surveyed, how many chose salad? [2 marks]
Answer: _________________
15. The following are the ages of people in a group: 25, 28, 30, 32, 35, 38, 40
Find the median age. [2 marks]
Answer: _________________
Section D: Advanced Probability [10 marks]
16. A box contains 4 red marbles and 6 blue marbles. What is the probability of drawing a marble that is NOT red? [2 marks]
Answer: _________________
17. A fair coin is flipped twice. What is the probability of getting at least one head? [2 marks]
Answer: _________________
18. A bag contains 3 red balls, 4 green balls, and 5 yellow balls. What is the probability of drawing a green or yellow ball? [2 marks]
Answer: _________________
19. In a group of 40 students, 25 play football and 15 do not play football. If a student is selected randomly, what is the probability (as a percentage) that the student plays football? [2 marks]
Answer: _________________%
20. A spinner is divided into 10 equal sections numbered 1 to 10. What is the probability of spinning a number that is both even and greater than 6? [2 marks]
Answer: _________________
Answers
Secondary 1 Mathematics Quiz - Statistics Probability (Answer Key)
Total Marks: 40
Section A: Data Collection and Representation [10 marks]
1. Percentage of students who chose football [2 marks]
- Working: (36 ÷ 120) × 100% = 30%
- Answer: 30%
2. Total number of students [1 mark]
- 4 + 8 + 12 + 10 + 6 = 40 students
- Answer: 40
3. Cars sold on Wednesday [1 mark]
- 2 symbols × 4 cars = 8 cars
- Answer: 8
4. Median score [2 marks]
- 20 students, so median is average of 10th and 11th values
- Ordered scores: 42, 45, 48, 51, 53, 56, 57, 59, 60, 62, 64, 66, 68, 68, 71, 73, 75, 79, 82, 84
- 10th value = 62, 11th value = 64
- Median = (62 + 64) ÷ 2 = 63
- Answer: 63
5. Modal class [2 marks]
- The class with highest frequency is 150-159 cm (frequency = 12)
- Answer: 150-159 cm
Section B: Probability Basics [10 marks]
6. Probability of drawing a red ball [2 marks]
- Total balls = 5 + 3 + 2 = 10
- P(red) = 5/10 = 1/2
- Answer: 1/2 or 0.5
7. Probability of rolling an even number [2 marks]
- Even numbers: {2, 4, 6}
- P(even) = 3/6 = 1/2
- Answer: 1/2 or 0.5
8. Probability of spinning a prime number [2 marks]
- Prime numbers from 1-8: {2, 3, 5, 7}
- P(prime) = 4/8 = 1/2
- Answer: 1/2 or 0.5
9. Probability student likes Mathematics [2 marks]
- P(likes Math) = 18/30 = 3/5
- Answer: 3/5 or 0.6
10. Probability of drawing a heart [2 marks]
- Hearts in deck = 13
- P(heart) = 13/52 = 1/4
- Answer: 1/4 or 0.25
Section C: Data Analysis [10 marks]
11. Mean of data set [2 marks]
- Mean = (12 + 15 + 18 + 20 + 25) ÷ 5 = 90 ÷ 5 = 18
- Answer: 18
12. Range of data [2 marks]
- Range = Highest value - Lowest value = 22 - 5 = 17
- Answer: 17
13. Mode [2 marks]
- The value with highest frequency is 1 pet (frequency = 15)
- Answer: 1
14. Students who chose salad [2 marks]
- Percentage who chose salad = 100% - 30% - 25% - 20% = 25%
- Number who chose salad = 25% of 120 = 0.25 × 120 = 30
- Answer: 30
15. Median age [2 marks]
- 7 values, so median is the 4th value when arranged in order
- Ages in order: 25, 28, 30, 32, 35, 38, 40
- Answer: 32
Section D: Advanced Probability [10 marks]
16. Probability of drawing a marble that is NOT red [2 marks]
- Total marbles = 4 + 6 = 10
- Non-red marbles = 6
- P(not red) = 6/10 = 3/5
- Answer: 3/5 or 0.6
17. Probability of getting at least one head [2 marks]
- Possible outcomes: HH, HT, TH, TT
- At least one head: HH, HT, TH (3 outcomes)
- P(at least one head) = 3/4
- Answer: 3/4 or 0.75
18. Probability of drawing a green or yellow ball [2 marks]
- Total balls = 3 + 4 + 5 = 12
- Green or yellow balls = 4 + 5 = 9
- P(green or yellow) = 9/12 = 3/4
- Answer: 3/4 or 0.75
19. Probability as percentage [2 marks]
- P(plays football) = 25/40 = 5/8 = 0.625
- As percentage = 0.625 × 100% = 62.5%
- Answer: 62.5%
20. Probability of even number greater than 6 [2 marks]
- Numbers from 1-10 that are even and > 6: {8, 10}
- P(even and > 6) = 2/10 = 1/5
- Answer: 1/5 or 0.2
Marking Notes:
- Award partial marks for correct method even if final answer is wrong
- Accept equivalent forms of fractions (e.g., 1/2 = 0.5 = 50%)
- Deduct 1 mark for arithmetic errors in multi-step problems
- Require clear working for all calculation questions