Drawing pie charts

The Maths Habit Handout to print

Sam drew this pie chart. What has gone wrong?

TransportFrequency
Walk12
Bus9
Car6
Bike3
Total30

The angles add up to 30°, not 360°.

Pie chart
A circle split into sectors. Each sector shows a share of the total.
Sector
One slice of the circle.

Drawing a pie chart

  1. Draw a line straight up from the centre.
  2. Put the centre of the protractor on the centre of the circle, with 0 on the last line you drew.
  3. Count up from 0 to the angle. Mark it and draw the line. Then put 0 on the new line.
  4. The last sector is a check: measure it.
start line018030150601209090120601503018000 on the line018030150601209090120601503018000180301506012090901206015030180001803015060120909012060150301800100°140°80°01803015060120909012060150301800measure it: 40° ✓Plain100°Cheese140°Salt80°Prawn40°
Walkthrough to print

Draw a pie chart to show the crisps 36 students chose.

CrispsAngle
Plain100°
Cheese140°
Salt80°
Prawn40°
Total360°

Some students name their pet. Draw the pie chart.

PetAngle
Dog135°
Cat105°
Fish70°
Rabbit50°
Total360°

What students eat for breakfast. Draw the pie chart.

BreakfastAngle
Cereal160°
Toast95°
Fruit60°
None45°
Total360°

Working out the angles

  1. a) Add the frequencies to find the total.
  2. b) 360° ÷ total = the degrees for each one.
  3. c) Angle = frequency × the degrees for each one. Check they add up to 360°.
  4. d) Draw the pie chart.
FlavourFrequencyAngleVanilla7Chocolate8Mint3Lemon2Total207 + 8 + 3 + 2 = 2018°360° ÷ 20 = 18° each7 × 18 = 126°8 × 18 = 144°3 × 18 = 54°2 × 18 = 36°360°126 + 144 + 54 + 36 = 360 ✓Vanilla126°Chocolate144°Mint54°Lemon36°
Walkthrough to print

20 people choose an ice cream. Draw a pie chart.

  1. a)Total = ______
  2. b)360° ÷ total = ______ for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
FlavourFrequencyAngle
Vanilla7
Chocolate8
Mint3
Lemon2
Total

72 people choose a drink. Draw a pie chart.

  1. a)Total = 72
  2. b)360° ÷ total = 5° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
DrinkFrequencyAngle
Tea2020 × 5 = 100°
Coffee2626 × 5 = 130°
Juice1515 × 5 = 75°
Water1111 × 5 = 55°
Total72360°

90 cars in a car park. Draw a pie chart.

  1. a)Total = 90
  2. b)360° ÷ total = 4° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
ColourFrequencyAngle
Red1515 × 4 = 60°
Black3030 × 4 = 120°
White2525 × 4 = 100°
Other2020 × 4 = 80°
Total90360°

Cinema trips last month for 40 students.

  1. a)Total = 40
  2. b)360° ÷ total = 9° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
TimesFrequencyAngle
066 × 9 = 54°
12323 × 9 = 207°
277 × 9 = 63°
3+44 × 9 = 36°
Total40360°

One angle is over 180°. Draw the others first: the gap left is the big one.

The favourite sport of 30 students.

  1. a)Total = 30
  2. b)360° ÷ total = 12° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
SportFrequencyAngle
Football1111 × 12 = 132°
Netball88 × 12 = 96°
Swimming77 × 12 = 84°
Tennis44 × 12 = 48°
Total30360°

Some people name their favourite season.

  1. a)Total = 72
  2. b)360° ÷ total = 5° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
SeasonFrequencyAngle
Spring1414 × 5 = 70°
Summer3030 × 5 = 150°
Autumn1818 × 5 = 90°
Winter1010 × 5 = 50°
Total72360°

The colour of each team shirt sold at a stall.

  1. a)Total = 24
  2. b)360° ÷ total = 15° for each one
  3. c)Fill in the angles. They add up to 360°.
  4. d)Draw the pie chart.
ColourFrequencyAngle
Red1111 × 15 = 165°
Blue88 × 15 = 120°
Green55 × 15 = 75°
Total24360°

  1. 60 people are asked about their pets. In the pie chart, the angle for cats is 72°. How many people chose cats?

    12

  2. In a pie chart, 16 people are shown by an angle of 120°. How many people does the whole chart show?

    48

Drawing pie charts worksheet, page 1

Drawing pie charts worksheet, page 2

Answer sheet

  1. The table shows the drinks 45 people chose.

    DrinkTeaCoffeeJuiceWater
    Frequency1412118
    How many degrees are there for each person?

    8°

  2. Work out the angle for coffee in a pie chart.

    96°

  3. Draw a pie chart to show the drinks.

    Tea 112°, Coffee 96°
    Juice 88°, Water 64°
Exit tickets to print