Types of angles
Acute, right and obtuse in Grade 4; the straight angle in Grade 5; reflex angles and the full turn in Grade 6. Each angle is classified by eye, without measuring.
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Teaching guide: how to practise angles from Grade 4 to Grade 7
Knowing what an angle is, measuring it with a protractor and working out missing angles are steps of geometry taught from Grade 4 to Grade 7 (Years 5 to 8). This free angles worksheet generator builds A4 worksheets with angles drawn to true size to classify them, read a protractor, measure and draw them, work out complements and supplements and find missing angles on straight lines, around a point and in triangles, with an answer key.
- For
- Elementary 4th, 5th, 6th · Middle & High 7th (ages 9-12)
- Subject
- Mathematics › Geometry & Measurement
- Includes
- Student sheet and answer key
- Format
- A4, to print or save as PDF; new exercises every time
- Price
- Free, no sign-up
- Available in
- Catalan, Spanish, English
Student worksheet 
Answer key Reading a protractor
A drawn protractor with both scales. The most common mistake is reading the wrong scale, so level 2 puts the arm on one 0 or on the other.
Measuring angles
Angles print at true size with 4 cm arms, to be measured with the class protractor. At level 3, reflex angles are measured by taking the other angle from 360°.
Drawing angles
The vertex and one arm are given; pupils line up the protractor, mark the degrees and draw the other arm. The answer key draws it in blue.
Complements and supplements
The complement of an angle is what it needs to make 90°, the supplement what it needs to make 180°. In Grade 7, in degrees and minutes: 89° 60′ − 47° 25′ = 42° 35′.
Missing angles
Angles on a straight line, around a point, vertically opposite and in triangles. Diagrams are drawn to scale, but the angles are worked out with the right angle fact.
Frequently asked questions about angles worksheets
Which grades are these worksheets for?
Grades 4 to 7 (Years 5 to 8). Classifying, reading a protractor, measuring and drawing start in Grade 4; complements, supplements and missing angles in Grade 5, up to degrees and minutes and triangles in Grade 7.
Are the angles printed to true size?
Yes. Every angle is drawn with exactly the degrees in the answer key, with 4 cm arms so they reach the scale of a school protractor. Print at 100 % (turn off "fit to page" if your printer changes it), although an angle stays the same even if the sheet prints larger or smaller.
What is the difference between the two scales of a protractor?
The inner scale starts from the 0 on the right and the outer one from the 0 on the left. Read the scale whose 0 lies on one arm of the angle. A tip: if the angle is acute, the number must be less than 90.
How accurate must a measurement be?
The answer key gives the exact value. Measuring with a class protractor, being 1 or 2 degrees out is normal and can be marked as right.
How do you draw a reflex angle?
Take the angle from 360° and draw the other one: for 250°, draw 110° and mark the outside with the arc. The answer key shows the subtraction.
What is in the answer key?
The type of every angle circled, the degrees of every reading and measurement, the angles drawn in blue, complements and supplements with the subtraction, and every missing angle with the angle fact and the working.
What other worksheets go well with these?
The area and perimeter and Pythagoras' theorem worksheets to carry on with geometry, and the shapes worksheets for younger pupils. Find every resource under maths worksheets.
Is any pupil data sent anywhere?
No. Worksheets are generated in your browser and templates are saved in your browser's memory.
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