Drawing pie charts with simple angles

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 pie chart.

MusicAngle
Rock180°
Pop90°
Jazz90°
Total360°
Rock180°Pop90°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

PetAngle
Dog90°
Cat180°
Fish90°
Total360°
Dog90°Cat180°Fish90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

MusicAngle
Rock180°
Pop90°
Jazz90°
Total360°
Rock180°Pop90°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

ColourAngle
Red120°
Blue120°
Green120°
Total360°
Red120°Blue120°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
Rock180°
Pop90°
Jazz90°
Total360°
Rock180°Pop90°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

DrinkAngle
Tea180°
Milk120°
Juice60°
Total360°
Tea180°Milk120°Juice60°
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
Rock180°
Pop90°
Jazz90°
Total360°
Rock180°Pop90°Jazz90°
1Put 0 on the line.2Count round to the angle.
3Draw the line.

Draw the pie chart.

TravelAngle
Bus90°
Car90°
Walk60°
Bike120°
Total360°
Bus90°Car90°Walk60°Bike120°
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.

LunchFrequencyAngle
Pizza18180°
Pasta990°
Salad990°
Total36360°
Pizza180°Pasta90°Salad90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

12 people chose a band.

MusicFrequencyAngle
Rock4120°
Pop6180°
Jazz260°
Total12360°
Rock120°Pop180°Jazz60°
1Find the total.Total =12
2Divide 360 by the total.360° ÷12=30°
3Multiply each one.

36 people chose a lunch.

LunchFrequencyAngle
Pizza18180°
Pasta990°
Salad990°
Total36360°
Pizza180°Pasta90°Salad90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

18 people chose a fruit.

FruitFrequencyAngle
Apple6120°
Pear360°
Plum9180°
Total18360°
Apple120°Pear60°Plum180°
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 lunch.

LunchFrequencyAngle
Pizza18180°
Pasta990°
Salad990°
Total36360°
Pizza180°Pasta90°Salad90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

6 people said how they travel.

TravelFrequencyAngle
Bus160°
Car3180°
Walk2120°
Total6360°
Bus60°Car180°Walk120°
1Find the total.Total =6
2Divide 360 by the total.360° ÷6=60°
3Multiply each one.
1Find the total.2Divide 360 by the total.3Multiply each one.

36 people chose a lunch.

LunchFrequencyAngle
Pizza18180°
Pasta990°
Salad990°
Total36360°
Pizza180°Pasta90°Salad90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
3Multiply each one.

36 people chose a hat.

HatFrequencyAngle
Cap12120°
Beanie990°
Visor660°
Sun hat990°
Total36360°
Cap120°Beanie90°Visor60°Sun hat90°
1Find the total.Total =36
2Divide 360 by the total.360° ÷36=10°
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. B3 people is 3°Wrong: 60°
  3. C9 people is 180°Right
  4. D6 people is 60°Wrong: 120°

Drawing pie charts with simple angles worksheet, page 1

Drawing pie charts with simple angles worksheet, page 2

Answer sheet

  1. 36 people chose a colour. 14 chose red. What is the angle for red?

    140°
  2. A pie chart shows 40 people. The angle for tea is 90°. How many people chose tea?

    10
  3. In a pie chart, half of the circle is 15 people. How many people are in the pie chart?

    30

  1. 18 people chose a drink: milk 9, juice 6, tea 3. Work out the angles.1Find the total.Total =182Divide 360 by the total.360° ÷18=20°3Multiply each one.

    Milk 180°, Juice 120°, Tea 60°
  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 9 people.

    90°
Exit tickets to print