Pie charts: Practice Questions

A library uses a pie chart to show its book collection. The sectors for "Science" and "Art" are \(120^\circ\) and \(90^\circ\) respectively. What is the sum of the angles for the remaining sectors?

In a pie chart representing fruit sales, the angle for 'Apples' is \(45^\circ\) and the angle for 'Oranges' is \(135^\circ\). If 20 kg of apples were sold, how many kilograms of oranges were sold?

The pie chart below shows the distribution of 240 fruits in a shop. The sector for Apples has a central angle of \(120^\circ\). Bananas and Grapes have the same quantity, and the central angle for Oranges is \(60^\circ\). How many more Apples are there than Bananas?

A pie chart shows the distribution of trees in a park. If the sector for "Pine trees" has an angle of \(60^\circ\) at the centre, what fraction of the total trees are Pine trees?

A community center offers four types of hobby classes. The following data shows the number of students enrolled in each class:
Cooking: 90
Painting: 60
Dance: 60
Yoga: 30
If this data is presented in a pie chart, what is the angle at the centre for the sector representing the Cooking class?

In a pie chart, if the angle of a sector representing 'Apples' is \(90^\circ\), what fraction of the total data does this sector represent?

A pie chart shows three categories: A, B, and C. Category A is \(30\%\) of the total, and the angle for Category B is \(126^\circ\). Calculate the angle for Category C.

A pie chart shows the distribution of 480 people attending a music festival. The chart is divided into four categories: Adults, Teenagers, Children, and Elderly.
- The sector for Adults has an angle of \(150^\circ\).
- The sector for Teenagers has an angle of \(90^\circ\).
- The sector for Children has an angle of \(75^\circ\).

How many people are in the Elderly category?

A school survey was conducted to find out the favorite sports of 360 students. The results are shown in a pie chart with the following details:
- Basketball: The sector angle is \(120^\circ\).
- Football: The sector angle is \(90^\circ\).
- Table Tennis: Represented by \(15\%\) of the students.
- Badminton: The remaining students.

(a) How many students chose Football?
(b) What is the angle at the center for the 'Table Tennis' sector?
(c) Calculate the number of students who chose Badminton.
(d) What is the ratio of students who chose Basketball to those who chose Badminton? (Express your answer in simplest form.)

A community center conducted a survey to find out the favorite leisure activities of 120 students. The results are represented in a pie chart:
- Sports: \( \frac{1}{2} \) of the students.
- Reading: The sector angle at the center is \( 90^\circ \).
- Music: \( 15\% \) of the total students.
- Painting: The remaining students.

(a) How many students chose Sports?
(b) What is the angle at the center for the Music sector?
(c) Calculate the number of students who chose Painting.