Pie charts Quiz (Grade 2)

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Topic:

Score: 0 / 10

Pie charts — Notes & Worked Examples Show / Hide

Explanation:

All the angles at the centre of a pie chart add up to 360°. To draw a pie chart, divide 360° by the total frequency to find how many degrees represent 1 item (Multiplier = 360° ÷ Total), then multiply each frequency by that angle. Always check your angles add up to 360°.

To find a frequency from a given pie chart, write the sector angle as a fraction of 360° and multiply by the total number of people: Frequency = Angle360 × Total.

Example 1: Calculate the pie chart angles for 60 students.

Travel	f	× 6°	Angle
Walk	23	23×6°	138°
Bus	19	19×6°	114°
Car	18	18×6°	108°

360° ÷ 60 = 6° per student. Check: 138° + 114° + 108° = 360°.

Example 2: This pie chart represents 180 people. Comedy is 90° and Action is 110°. How many people chose each?

• Comedy (90°): 14 of 180 = 45 people

• Action (110°): 110360 × 180 = 55 people

One Page Guide (PDF) Pie charts Worksheets

Question 1

[2 marks]

Find the pie chart angle for 110 of a circle

Worked Solution & Answer

110 × 360° = 36° B1

Answer: 36° °

Question 2

[2 marks]

The pie chart represents 90 people.
How many people are in the shaded sector?

Worked Solution & Answer

180360 × 90 = 45 B1

Answer: 45

Question 3 AQA Jun 2025 3F Q18 / 3H Q5

[3 marks]

The pie chart represents the results of matches played by a team.

30 matches were **won**.
How many matches were lost?

Answer

Worked Solution & Answer

180° = 30 matches ⇒ 6° per match M2
Lost = 132° ÷ 6° = 22 matches. A1

Answer: Answer 22

Question Paper (PDF) • Mark Scheme (PDF)

Question 4

[3 marks]

The table gives information about the drinks people ordered in a cafe.

Draw an accurate pie chart for this information.

Worked Solution & Answer

Total = 90 people ⇒ 360 ÷ 90 = 4° per person M2
Coffee = 120°, Hot chocolate = 40°, Tea = 200° A1

Answer: Sectors of 120° (Coffee), 40° (Hot chocolate) and 200° (Tea)

Question Paper (PDF) • Mark Scheme (PDF)

Question 5

[3 marks]

Year 9 students from Halle School were asked to choose one language to study.
The table shows information about their choices.

(a) Draw an accurate pie chart to show this information. [3 marks]

Worked Solution & Answer

(a)

Total = 56 + 40 + 24 = 120 students. 360° ÷ 120 = 3° per student M1
French = 56 × 3° = 168° M1
Spanish = 40 × 3° = 120°
German = 24 × 3° = 72° A1

Answer (a): Angles: French 168°, Spanish 120°, German 72° accurately drawn and labelled

Question Paper (PDF) • Mark Scheme (PDF)

Question 6

[4 marks]

120 students in Year 10 each choose one language to study.
The table below shows information about their choices.
@@TABULAR₀@@

(a) Complete the accurate pie chart to show this information. [3 marks]

(b) Is Navi correct?
Explain why you think this. [1 mark]

Worked Solution & Answer

(a)

Total = 120 M1
Multiplier = 360° ÷ 120 = 3° per student
French = 45 × 3° = 135° (given) M1
Mandarin = 20 × 3° = 60°
Spanish = 55 × 3° = 165° A1

Answer (a): Accurate pie chart completed (Mandarin 60°, Spanish 165°)

(b)

No, because pie charts show proportions not actual numbers of students
the total number of students in Year 11 is not given C1

Answer (b): No with reason (total number in Year 11 unknown)

Question Paper (PDF) • Mark Scheme (PDF)

Question 7

[4 marks]

Some students took a guitar exam.
The pie chart shows information about the grades the students got.

(a) Write down the modal grade. [1 mark]

(b) Work out the total number of students who took the guitar exam. [3 marks]

Worked Solution & Answer

(a)

(The mode is the value that appears most often)
Merit has largest angle (150°) B1

Answer (a): Merit

(b)

105° ÷ 7 = 15° per student M2
360° ÷ 15° = 24 students A1

Answer (b): 24

Question Paper (PDF) • Mark Scheme (PDF)

Question 8

[5 marks]

The pie chart gives information about the colour of each car in a car park.

(a) Work out the number of white cars in the car park. [3 marks]

(b) Find the probability that this car is grey. [2 marks]

Worked Solution & Answer

(a)

135 ÷ 90 = 1.5 cars per degree M2
80 × 1.5 = 120 white cars A1

Answer (a): 120

(b)

Total cars = 135 × 4 = 540 M1
P(grey) = 50/540 A1

Answer (b): 50540

Question Paper (PDF) • Mark Scheme (PDF)

Question 9 OCR Jun 2024 1F Q21 / 4H Q4

[5 marks]

A school is deciding on a charity to support.
Each student at the school votes for one of four charities, A, B, C or D.
The results are to be shown in a pie chart.
This pie chart shows the sector for charity A.
Twice as many students voted for charity C than charity B.
Twice as many students voted for charity D than charity C.

(a) Show that the sector for charity B will have an angle of 44°. [2 marks]

(b) Complete the pie chart. [3 marks]

Worked Solution & Answer

(a)

Remaining angle = 360° − 52° = 308° M1
Ratio B : C : D = 1 : 2 : 4 (7 parts)
Angle for B = 308° ÷ 7 = 44°. C1

Answer (a): (360 − 52) ÷ (1 + 2 + 4) = 308 ÷ 7 = 44°.

(b)

Sector B = 44°, Sector C = 2 × 44° = 88°, Sector D = 2 × 88° = 176°. M2 A1

Answer (b): Sectors drawn and labelled: B = 44°, C = 88°, D = 176°.

Question Paper (PDF) • Mark Scheme (PDF)

Question 10

[6 marks]

60 students were asked how they get to school.
The table shows the results.

(a) What fraction of the 60 students did **not** walk to school? [2 marks]

(b) Complete the pie chart for the information in the table. [4 marks]

Worked Solution & Answer

(a)

60 – 27 = 33 → 33/60 M1 A1

Answer (a): 3360 (or 1120)

(b)

360 ÷ 60 = 6° per student → Walk = 27 × 6° = 162°, Car = 12 × 6° = 72°, Bicycle = 6 × 6° = 36° M3 A1

Answer (b): Sectors drawn and labelled: Walk = 162°, Car = 72°, Bicycle = 36°

Question Paper (PDF) • Mark Scheme (PDF)

Score: 0 / 10 (0 / 37 marks)

Pie charts Worksheets Next: Averages →

Grade 2 Quizzes

19 Topics

2A - Calculation problems	2B - Using a calculator
2C - Systematic listing	2D - Fraction of an amount
2E - FDP	2F - Simplifying algebra
2G - Writing an expression	2H - Function machines
2J - Solving one step equations	2K - Angles
2L - Area and perimeter	2M - Reading scales
2N - Probability & Probability Scale	2P - Frequency polygons
2Q - Unitary method	2R - Bar charts
2S - Pie charts	2T - Averages
2U - Stem and leaf diagrams