Maths · Colouring and tick worksheet
Types of Angles Worksheet: Acute, Right and Obtuse (Free KS2)
This free, printable worksheet helps children in Years 3 and 4 recognise and name the three angles they meet first in maths: acute (smaller than a right angle), right (a quarter turn, exactly 90°) and obtuse (larger than a right angle but smaller than a straight line). The angles are hidden in plain sight all over a friendly fairy-tale castle, so the maths feels like a hunt rather than a drill.
Print it on one sheet of A4. Children read each statement and tick the true ones, then colour the castle using a simple colour key that sorts the picture by angle type. It pairs well with a paper right-angle checker (the corner of any piece of paper) so children can test angles by eye and by comparison.
Acute, Right and Obtuse Angles Castle
Free Maths worksheet · Ages 8 to 10
Activity 1
Look at the castle. Tick the box next to each statement that is TRUE. A paper corner is a handy right-angle checker.
- The sharp point at the top of a turret roof is an acute angle.
- The square corners of the battlements are right angles.
- The wide, sloping angle of the flag's pennant is an obtuse angle.
- An acute angle is bigger than a right angle.
- A right angle is a quarter turn (90 degrees).
- An obtuse angle is smaller than an acute angle.
Activity 2
Now colour the castle using the angle key below. Find each type of angle and colour the part it belongs to.
- Colour the pointed turret roofs (acute angles) red.
- Colour the square battlement corners (right angles) blue.
- Colour the flag and its pennant (obtuse angle) green.
- Colour the arched gate and the rest of the castle walls any colours you like.
Acute, Right and Obtuse Angles Castleowee.worldAnswer key
- The sharp point at the top of a turret roof is an acute angle. — tick
- The square corners of the battlements are right angles. — tick
- The wide, sloping angle of the flag's pennant is an obtuse angle. — tick
- A right angle is a quarter turn (90 degrees). — tick
What your child is learning
By Year 4, children are expected to move beyond simply spotting corners to naming and comparing angles. This worksheet focuses on three terms: a right angle is a quarter turn (90°) and looks like a perfect square corner; an acute angle is smaller than a right angle (the sharp, narrow points of the turret roofs); and an obtuse angle is bigger than a right angle but less than a straight line (the wide, open sloping angle of the flag's pennant). Linking each name to a real shape on the castle helps the vocabulary stick far better than abstract diagrams alone.
How to use this worksheet
Start by reminding your child that an angle is an amount of turn, not a length, and that the right angle is the benchmark everything is compared against. Hand them the corner of a spare piece of paper as a ready-made 90° checker: if an angle is narrower than the paper corner it is acute, if it fits exactly it is right, and if the paper corner sits inside it with room to spare it is obtuse. They can then work through the tick statements, testing each claim against the picture, before colouring the castle by the angle-type key. Encourage them to say the word out loud as they colour each part.
Common misconceptions to watch for
Two errors are very common at this stage. First, children often think a bigger shape means a bigger angle — remind them that the size of the angle depends only on the turn between two lines, not on how long the lines are or how big the turret is. Second, many children muddle acute and obtuse; a useful memory hook is that 'acute' angles are small and 'a-cute' little points, while 'obtuse' angles are wide and open. Checking against the paper-corner right angle each time keeps the comparison concrete and reduces guessing.
Extending the activity
Once the sheet is finished, turn the room into an angle hunt: doors and windows give right angles, an open book or a slice of pizza gives acute and obtuse angles, and the hands of a clock change angle as the minutes pass. Ask your child to order three angles from smallest to largest by eye, which directly rehearses the Year 4 objective of comparing and ordering angles up to two right angles by size. For an extra challenge, see whether they can find an angle on the castle that is close to a straight line (two right angles).
Frequently asked questions
What are acute, right and obtuse angles?
A right angle is exactly 90 degrees, a quarter turn, and looks like a square corner. An acute angle is smaller than a right angle (a sharp, narrow point). An obtuse angle is larger than a right angle but smaller than a straight line, so it looks wide and open.
What age or year group is this angles worksheet for?
It is designed for children aged 8 to 10 in KS2, mainly Year 4, where identifying acute and obtuse angles and comparing angles up to two right angles is a National Curriculum objective. Confident Year 3 children working on right angles can use it too.
How can my child tell if an angle is a right angle?
The corner of any piece of paper is a perfect right angle. Hold the paper corner against the angle: if the angle is narrower than the corner it is acute, if it matches exactly it is a right angle, and if the corner fits inside with space left over it is obtuse.
Is this angles worksheet free to print?
Yes. It is completely free, with no sign-up needed, and is designed to print neatly onto one sheet of A4 in black and white so your child can colour it in at home or school.
Does a bigger shape mean a bigger angle?
No, and this is a common mix-up. The size of an angle depends only on the amount of turn between two lines, not on how long the lines are or how large the shape is. A tiny corner and a huge corner can both be right angles.
Curriculum links
- Year 4 Geometry – properties of shapes: identify acute and obtuse angles and compare and order angles up to two right angles by size.
- Year 3 Geometry – properties of shapes: recognise that angles are a property of shape or a description of a turn.
- Year 3 Geometry – properties of shapes: identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn.
- Year 3 Geometry – properties of shapes: identify whether angles are greater than or less than a right angle.
Made by The Owee education team. Updated 02/06/2026. Free to print and share.
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