Drawing pie charts

The Maths Habit

Which lunch did the most people choose? What fraction of the people chose it?

PizzaPastaSalad

Pizza. Half of the people: it is half of the circle.

Pie chart
A circle cut into slices to show how many.
Sector
One slice of a pie chart.
120°
Angle
How far a line turns. We measure it in degrees, °.
Protractor
A tool to measure and draw angles.

How many degrees is the pink part?

1 A whole circle360°
2 Half a circle180°
3 A quarter90°

Draw the sector for pizza: 120°.

0306090120150180Pizza120°
  1. 1Put 0 on the line.The middle of the protractor on the dot.
  2. 2Count round to the angle.Count up from 0: 30, 60, 90, 120. Make a mark.
  3. 3Draw the line.From the dot to the mark. The next angle starts from this new line.

Draw the pie chart.

MusicAngle
Rock150°
Pop120°
Jazz90°
Total360°
Rock150°Pop120°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

PetAngle
Dog130°
Cat100°
Fish130°
Total360°
Dog130°Cat100°Fish130°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

MusicAngle
Rock150°
Pop120°
Jazz90°
Total360°
Rock150°Pop120°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

ColourAngle
Red170°
Blue70°
Green120°
Total360°
Red170°Blue70°Green120°
1Put 0 on the line.2Count round to the angle.
3Draw the line.
1Put 0 on the line.2Count round to the angle.3Draw the line.

Draw the pie chart.

MusicAngle
Rock150°
Pop120°
Jazz90°
Total360°
Rock150°Pop120°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

DrinkAngle
Tea100°
Milk170°
Juice90°
Total360°
Tea100°Milk170°Juice90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.
1Put 0 on the line.2Count round to the angle.3Draw the line.

Draw the pie chart.

MusicAngle
Rock150°
Pop120°
Jazz90°
Total360°
Rock150°Pop120°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

TravelAngle
Bus130°
Car80°
Walk150°
Total360°
Bus130°Car80°Walk150°
1Put 0 on the line.2Count round to the angle.
3Draw the line.
1Put 0 on the line.2Count round to the angle.3Draw the line.

Draw each pie chart.

1Draw the pie chart.

FruitApplePearPlumTotal
Angle110°140°110°360°
Apple110°Pear140°Plum110°
1Put 0 on the line.
2Count round to the angle.
3Draw the line.

2Draw the pie chart.

ResultWonDrewLostTotal
Angle170°60°130°360°
Won170°Drew60°Lost130°
1Put 0 on the line.
2Count round to the angle.
3Draw the line.

3Draw the pie chart.

HatCapBeanieSun hatTotal
Angle110°90°160°360°
Cap110°Beanie90°Sun hat160°
1Put 0 on the line.
2Count round to the angle.
3Draw the line.
1Put 0 on the line.2Count round to the angle.3Draw the line.

36 people chose a lunch. Work out the angles.

LunchFrequencyAngle
Pizza12120°
Pasta14140°
Salad10100°
Total36360°
Pizza120°Pasta140°Salad100°
  1. 1Find the total.12 + 14 + 10 = 36
  2. 2Divide 360 by the total.360° ÷ 36 = 10° each
  3. 3Multiply each one.Pizza: 12 × 10 = 120°

36 people chose a band.

MusicFrequencyAngle
Rock14140°
Pop13130°
Jazz990°
Total36360°
Rock140°Pop130°Jazz90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

36 people chose a colour.

ColourFrequencyAngle
Red16160°
Blue11110°
Green990°
Total36360°
Red160°Blue110°Green90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

36 people chose a band.

MusicFrequencyAngle
Rock14140°
Pop13130°
Jazz990°
Total36360°
Rock140°Pop130°Jazz90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

18 people chose a drink.

DrinkFrequencyAngle
Tea5100°
Milk8160°
Juice5100°
Total18360°
Tea100°Milk160°Juice100°
1Find the total.Total =18
2Divide 360 by the total.360° ÷18=20°
3Multiply each one.
1Find the total.2Divide 360 by the total.3Multiply each one.

36 people chose a band.

MusicFrequencyAngle
Rock14140°
Pop13130°
Jazz990°
Total36360°
Rock140°Pop130°Jazz90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

9 people said how they travel.

TravelFrequencyAngle
Bus3120°
Car280°
Walk4160°
Total9360°
Bus120°Car80°Walk160°
1Find the total.Total =9
2Divide 360 by the total.360° ÷9=40°
3Multiply each one.
1Find the total.2Divide 360 by the total.3Multiply each one.

36 people chose a band.

MusicFrequencyAngle
Rock14140°
Pop13130°
Jazz990°
Total36360°
Rock140°Pop130°Jazz90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

18 people chose a fruit.

FruitFrequencyAngle
Apple6120°
Pear7140°
Plum5100°
Total18360°
Apple120°Pear140°Plum100°
1Find the total.Total =18
2Divide 360 by the total.360° ÷18=20°
3Multiply each one.
1Find the total.2Divide 360 by the total.3Multiply each one.

Work out the angles.

136 people chose a hat.

HatCapBeanieSun hat
Frequency131112
Angle130°110°120°
1Find the total.
Total =36
2Divide 360 by the total.
360° ÷36=10°
3Multiply each one.

218 games were played.

ResultWonDrewLost
Frequency747
Angle140°80°140°
1Find the total.
Total =18
2Divide 360 by the total.
360° ÷18=20°
3Multiply each one.

39 people chose a pen.

ColourBlackBlueRed
Frequency432
Angle160°120°80°
1Find the total.
Total =9
2Divide 360 by the total.
360° ÷9=40°
3Multiply each one.
1Find the total.2Divide 360 by the total.3Multiply each one.

18 people chose a drink. Is it right? Thumbs up or thumbs down.

TeaMilkJuice
  1. AEach person is 20°Right
  2. B5 people is 5°Wrong: 100°
  3. C9 people is 180°Right
  4. D4 people is 40°Wrong: 80°

Drawing pie charts worksheet, page 1

Drawing pie charts worksheet, page 2

Answer sheet

  1. 24 people chose a colour. 7 chose red. What is the angle for red?

    105°

  2. A pie chart shows 60 people. The angle for tea is 90°. How many people chose tea?

    15

  3. In a pie chart, each person is 8°. How many people are in the pie chart?

    45

  1. 18 people chose a drink: tea 8, milk 6, juice 4. Work out the angles.1Find the total.Total =182Divide 360 by the total.360° ÷18=20°3Multiply each one.

    Tea 160°, Milk 120°, Juice 80°

  2. Draw the pie chart for question 1.1Put 0 on the line.2Count round to the angle.3Draw the line.

  3. 36 people chose a sport. Work out the angle for 14 people.

    140°
Exit tickets to print