Shapes are a key part of KS3 Maths. One feature found in shapes is angles. This quiz will find out whether you've got the angle on your angles!

An angle is a measure of turning or rotation. Angles are measured in degrees, which are shown by this sign ^{o}. There are 360^{o} in a circle and 180^{o} in a half-circle or straight line. Right angles (the corners on squares) have 90^{o} and all of the angles in a triangle add up to 180^{o}. Angles less than 90^{o} are called acute angles, those between 90^{o} and 180^{o} are obtuse and those over 180^{o} are reflex. There are many more facts to learn about angles. This quiz will help you get to grips with the subject.

Take your time over the following questions. Read each one carefully and make sure you understand it before you choose which answer is correct. And don't forget the helpful comments which appear after you've answered a question. These can help to clarify anything which you didn't understand. Good luck!.

1.

Angles on a straight line add up to what?

90^{o}

180^{o}

270^{o}

360^{o}

A straight line is half a circle

2.

Each internal angle of a regular pentagon is 108^{o}. What is the total number of internal degrees?

180^{o}

360^{o}

540^{o}

720^{o}

Pentagons have 5 internal angles so just multiply 108^{o} x 5

3.

A circle is divided into a number of parts or degrees. How many are there?

90^{o}

180^{o}

270^{o}

360^{o}

The four interior angles of a quadrilateral also add up to 360^{o}

4.

An angle that is between 180^{o} and 360^{o} is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Every internal angle has a corresponding reflex angle. Together they add up to 360^{o}

5.

The internal angles of a regular hexagon add up to 720^{o}. How many degrees is each one?

60^{o}

90^{o}

120^{o}

150^{o}

There are six internal angles in a hexagon. A regular hexagon has six equal angles

6.

The three interior angles in a triangle add up to what?

90^{o}

180^{o}

270^{o}

360^{o}

An equilateral triangle has 3 interior angles each measuring 60 degrees each (3 x 60 = 180)

7.

An angle that is 90^{o} is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

These are found in squares and other rectangles

8.

An angle that is between 0^{o} and 90^{o} is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Think of obtuse angles as 'blunt' and acute angles as 'sharp'

9.

Two interior angles in a triangle are 35^{o} and 55^{o}. What is the 3^{rd} angle?

75^{o}

85^{o}

90^{o}

95^{o}

Take 35 and 55 from 180 to find the answer

10.

An angle that is between 90^{o} and 180^{o} is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Think of obtuse angles as 'blunt' and acute angles as 'sharp'