Instructions
Read each question carefully. For Part A, choose the best answer or fill in the blank. For Part B, write your answers in full sentences or create the charts as instructed. You may need a separate piece of paper for some drawings.
Part A: Objective Questions
- A whole pie chart represents what percentage?
- A) 50%
- B) 75%
- C) 100%
- D) 200%
- The tally mark '||||' represents the number: __________
- In a pie chart, a section labelled '25%' represents what fraction of the total?
- A) 1/2
- B) 1/3
- C) 1/4
- D) 1/5
- In a survey of 40 students about their favourite fruit, 50% chose apples. How many students chose apples?
- A) 10
- B) 20
- C) 30
- D) 40
- What does the term 'frequency' mean in a data table?
- A) How often something happens
- B) The largest number
- C) The smallest number
- D) The average
Use the frequency table below to answer questions 6-8.
| Favourite Colour | Tally | Frequency |
|---|---|---|
| Blue | |||| ||| | 8 |
| Red | |||| | 5 |
| Green | |||| |||| | | 11 |
| Yellow | ||| | 3 |
- What is the total number of people surveyed? __________
- Which colour is the most popular (the mode)?
- A) Blue
- B) Red
- C) Green
- D) Yellow
- How many more people chose Green than Red? __________
- If a pie chart shows that 10% of 200 people have a pet dog, how many people have a pet dog?
- A) 10
- B) 20
- C) 50
- D) 100
- The tally for the number 7 is correctly written as:
- A) |||||||
- B) |||| ||
- C) ||||| ||
- D) ||| ||||
- A bar chart's vertical axis (y-axis) shows frequencies up to 52. The most sensible scale to use would be intervals of:
- A) 1
- B) 20
- C) 50
- D) 5
- In a pie chart for 'Favourite Subjects', Maths takes up a slice that is a perfect right angle (90°). What percentage of students chose Maths? __________ %
- A frequency chart is used to record ___________.
- If 3/4 of a pie chart represents students who like pizza, what percentage is that?
- A) 25%
- B) 50%
- C) 75%
- D) 100%
- A scale on a graph helps you to ___________ the data accurately.
Use the information below to answer questions 16-20.
A survey asked 60 people about their favourite season. The results were displayed on a pie chart.
- Summer: 50%
- Autumn: 25%
- Winter: 15%
- Spring: 10%
- How many people chose Summer as their favourite season? __________
- How many people chose Winter?
- A) 6
- B) 9
- C) 15
- D) 20
- The number of people who chose Autumn is __________.
- What is the total percentage shown on the pie chart? __________ %
- Which season was the least favourite?
- A) Summer
- B) Autumn
- C) Winter
- D) Spring
Part B: Subjective Questions
The following is a list of pets owned by students in a class:
Dog, Cat, Fish, Cat, Dog, Dog, Hamster, Cat, Fish, Dog, Cat, Dog, Cat, Hamster, Dog, Fish, Cat, Cat, Dog, Dog
- Based on the list above, create a frequency table. Your table should have three columns: Pet, Tally, and Frequency.
- Using your table from question 1, what is the 'mode' for this set of data? Explain what the mode tells us.
- How many more students own a dog than own a fish? Show your calculation.
- You want to find out the most popular musical instrument played by students in your year group. Describe the first two steps you would take to start your investigation.
- A pie chart is made to show the data for the 20 pets listed above. What percentage of the pie chart would represent 'Cat'? (Hint: First find the fraction of cats).
- The scale on a bar chart goes up in intervals of 4 (0, 4, 8, 12...). A bar representing 'Goals Scored' stops exactly halfway between 8 and 12. How many goals were scored?
- Explain one situation where a pie chart is more useful than a bar chart.
- A survey of 80 students found that 40 preferred action movies, 20 preferred comedy, and 20 preferred animated movies. If you were to show this on a pie chart, what fraction and what percentage would represent action movies?
- On a separate piece of paper, draw a simple bar chart for the student movie preferences in the question above (40 action, 20 comedy, 20 animated). Remember to label the axes and give your chart a title. Describe what your scale on the frequency axis would be.
- Why is it important to choose a sensible scale when drawing a bar chart or line graph?
Answer Key
Part A: Objective Questions
- C) 100%
- 4
- C) 1/4
- B) 20
- A) How often something happens
- 27
- C) Green
- 6
- B) 20
- B) |||| ||
- D) 5
- 25%
- data / how many times something occurs
- C) 75%
- read / interpret
- 30
- B) 9
- 15
- 100%
- D) Spring
Part B: Subjective Questions
-
Pet Tally Frequency Dog |||| |||| 8 Cat |||| | 7 Fish ||| 3 Hamster || 2 - The mode is 'Dog'. The mode is the item that appears most often in a set of data, so it tells us which pet is the most popular in this class.
- 8 (Dogs) - 3 (Fish) = 5. Five more students own a dog than a fish.
- Step 1: Decide on the question to ask (e.g., "What is your favourite musical instrument to play?"). Step 2: Create a data collection sheet (like a table) to record the answers and then survey the students.
- There are 7 cats out of 20 pets. The fraction is 7/20. To find the percentage: (7 ÷ 20) x 100 = 35%.
- 10. Halfway between 8 and 12 is 10.
- A pie chart is more useful when you want to show parts of a whole or compare percentages of a total amount, like in a budget or survey results.
- Fraction: 40/80, which simplifies to 1/2. Percentage: 50%.
- The bar chart should have three bars. The bars for comedy and animated should be the same height (at 20), and the bar for action should be twice as high (at 40). A sensible scale for the frequency (vertical) axis would be counting in 5s or 10s (e.g., 0, 10, 20, 30, 40).
- It is important to choose a sensible scale so that the chart is easy to read and draw. If the scale is too small, the chart will be too big. If the scale is too large, it will be hard to see the differences between the values.