Year 3 Right angles worksheet

“Angles from turns” is free to print, with no account. It is the first sheet in the Year 3 maths unit “Right angles”, for children aged 7 to 8, 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 12 to 14 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Angles from turns

Name: ____________ · Date: ____________
Year 3 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can make different sized angles by turning two lines around a fixed point.

A Look back3 min

1.
What is half of 12?
2.
3 tens and 4 ones make
3.
The rectangle is cut into 4 equal parts. How many of the parts are shaded?

B Watch me, then you4 min

The hour hand of a clock starts at 12 and turns to 3. How many right angles has it turned through?

Watch me

The hour hand starts at 12 and turns to 3.

That is a quarter turn, so it makes one right angle.

Three hours on the clock is one right angle.

Now you

1.
The hour hand turns from 12 to 2. Is this angle less or greater than a right angle?
less than a right anglegreater than a right angle

C Your turn5 min

Count the right angles the hour hand turns through, starting at 12.

1.
The hour hand turns from 12 to 3. How many right angles is that?
2.
The hour hand turns from 12 to 6. How many right angles is that?
3.
The hour hand turns from 12 to 9. How many right angles is that?
4.
The hour hand goes all the way round, from 12 back to 12. How many right angles is that?

Say it out loud: Each right angle is 3 hours on the clock. What pattern do you notice as the hour goes up?

D Spot the mistake2 min

Ria says: “At 3 o'clock, a big clock makes a bigger angle than a small clock. Its hands are longer.”

1.
Both clocks show 3 o'clock, like the one in the picture. Which clock has the bigger angle between its hands?
the big clockthe small clockthey make the same angle

E Think deeper4 min

Think about how many hours make one right angle on the clock.

1.
Which hours from 1 to 11 turn the hour hand a whole number of right angles from 12? Write them all.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Angles from turns · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 6

2. 34

3. 1

B

1. less than a right angle If your child says greater, ask how many hours the hand passes. From 12 to 2 is only 2 hours, and a right angle is 3 hours.

C

1. 1 If your child writes 3, they have counted the hours. One right angle is 3 hours, so ask them how many right angles 3 hours makes.

2. 2 If your child writes 6, they counted each hour as a right angle. Six hours is two right angles, because each right angle is 3 hours.

3. 3

4. 4 If your child writes 12, they counted the hours. A whole turn is 4 right angles, which is 12 hours.

D

1. they make the same angle Ria thinks longer hands make a bigger angle. Length does not change the turn. On both clocks the hands are a quarter turn apart, one right angle.

E

1. 3, 6 and 9 If your child lists every even hour, they may be counting hours rather than right angles. Ask how many hours make one right angle.

Words to use

Say“Which way did the hand turn, and how many right angles fit in that turn?”

Instead of“Tell them the answer is a right angle, without letting them look at the turn.”

After the sheet

Join two pencils at one end with a paperclip, open them into a corner, then find a book corner or table corner that matches.

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

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

Finding square corners(with a plan)
Quarter turns and right angles(with a plan)
Spotting triangles(with a plan)
Shapes with four sides(with a plan)
Rectangles have four right angles(with a plan)
Squares are rectangles too(with a plan)
Cutting shapes on the diagonal(with a plan)
Four Corners at a Point(with a plan)
Pentagons and hexagons(with a plan)

Every Year 3 maths worksheet

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