Robinson Tuition
Grade 2 · Foundation · free GCSE maths worksheet

Types of angle and measuring with a protractor

Acute, obtuse, reflex and measuring accurately.

13 original questions, 26 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Write down the mathematical name for an angle that is greater than 90° but less than 180°.

1 mark
Show answer
obtuse
2

Here are four angles.

45°    90°    130°    300°

Write down the type of each angle.

2 marks
Show answer
acute, right angle, obtuse, reflex
3

Ali measures an angle with a protractor. One arm of the angle lines up with 0 on the outer scale. The other arm goes through 38 on the outer scale.

Write down the size of the angle.

1 mark
Show answer
38°
4

An angle has size 210°.

Write down the mathematical name for this type of angle.

1 mark
Show answer
reflex
5

The diagram shows an angle.

  1. Use a protractor to measure the angle.
  2. Write down the type of angle.
2 marks
Show answer
a) 35 degrees (accept 33 to 37) b) acute
6

A clock shows 5 o'clock.

  1. Work out the angle between the hands of the clock.
  2. Write down the type of this angle.
2 marks
Show answer
a) 150° b) obtuse
7

A wheel turns through three-quarters of a full turn.

  1. Write down the size of the turn in degrees.
  2. Write down the type of this angle.
2 marks
Show answer
a) 270° b) reflex
8

Describe how to use a protractor to draw an angle of 65°.

2 marks
Show answer
Draw a straight line. Put the centre of the protractor on one end and line the line up with 0. Mark a dot at 65 on the scale that starts at 0. Join the dot to the end of the line.
9

The diagram shows an angle.

  1. Use a protractor to measure the angle.
  2. Write down the type of angle.
2 marks
Show answer
a) 125 degrees (accept 123 to 127) b) obtuse
10

Lee measures an acute angle with a protractor. He reads 130°.

Explain why Lee cannot be correct and write down the angle he should have read.

2 marks
Show answer
He read the wrong scale. An acute angle is less than 90°; the correct reading is 180 - 130 = 50°.
11

At a point, the angle inside a shape measures 70°. The reflex angle at the same point is on the outside of the shape.

Work out the size of the reflex angle.

2 marks
Show answer
290°
12

The diagram shows two lines meeting at a point.

  1. Use a protractor to measure the obtuse angle between the lines.
  2. Work out the size of the reflex angle marked x.
x
3 marks
Show answer
a) 110 degrees (accept 108 to 112) b) 250 degrees
13

The diagram shows triangle ABC.

  1. Use a protractor to measure angle a and angle b.
  2. Write down the mathematical name of this type of triangle.
  3. Work out the size of angle ACB.
ABCab
4 marks
Show answer
a) a = 50 degrees, b = 50 degrees (accept +-2) b) isosceles c) 80 degrees

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

All Grade 2 topics