Year 6 Statistics worksheet

“Reading pie chart angles” is free to print, with no account. It is the first sheet in the Year 6 maths unit “Statistics”, for children aged 10 to 11, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 27 to 28 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Reading pie chart angles

Name: ____________ · Date: ____________
Year 6 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can turn the angle of a pie chart sector into a percentage.

A Look back3 min

1.
1/4 of 80 is
2.
50% of 60 is
3.
Half of a full turn is °

B Watch me, then you4 min

A sector of a pie chart measures 72°. What percentage of the whole pie is it?

Watch me

72 is one fifth of 360, because 360 ÷ 5 = 72.

One fifth is 20 out of 100, which is 20%.

So a 72° sector is 20% of the pie.

Now you

1.
A sector measures 18°. What percentage of the pie is it?

C Your turn6 min

Each sector is shown as a fraction of the circle. Turn its angle into a percentage.

1.
A sector measures 90°. What percentage is that?
2.
A sector measures 180°. What percentage is that?
3.
A sector measures 108°. What percentage is that?
4.
A sector measures 144°. What percentage is that?

Say it out loud: What stays the same in each row, and what changes? How did you turn the angle into a percentage?

D Spot the mistake3 min

Kit says: “A sector of 36° is 36% of the pie chart.”

1.
What percentage of the pie is the 36° sector really?

E Think deeper3 min

1.
In a made-up class of 30 children, one sector covers 120°. How many children are in that sector?

How did it feel?

I can do it Nearly Not yet

For the grown-up

Reading pie chart angles · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 20

2. 30

3. 180

B

1. 5 If your child writes 18, the angle has been read as a percentage. Ask: what fraction of 360 is 18?

C

1. 25 If your child writes 0.25, the fraction is right but the percentage is not. Multiply by 100.

2. 50 If your child writes 180, the angle has been read as a percentage. Ask what fraction of 360 is 180.

3. 30

4. 40

D

1. 10 Kit read the degrees as percentages. 36° is one tenth of 360, which is 10%. If your child writes 36, they copied the angle.

E

1. 10 If your child writes 120, the angle has been used as a count of children. Ask what fraction of the circle 120° is, then find that fraction of 30.

Words to use

Say“Turn the angle into a fraction of 360 first, then change that fraction into a percentage.”

Instead of“Say that 72 degrees is 72 percent, because the numbers match.”

After the sheet

Fold a paper plate into quarters, then write each piece's angle and percentage on it.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

4 more sheets come with a StudyDen plan, in teaching order:

Slices of a circle(with a plan)
Reading line graphs(with a plan)
When a line fits(with a plan)
Reading scales and pie charts(with a plan)

Every Year 6 maths worksheet

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