*This Math quiz is called 'Shapes - Polygons' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

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A polygon is a 2-D plane (flat) shape with straight sides, such as a triangle or a pentagon. Some polygons fit together side to side as tiles to cover an area without leaving gaps. This is called tesselation.

Test your knowledge in this Math quiz.

1.

In a tile pattern of equilateral triangles, how many tiles will fit around a single point?

3

4

5

6

All angles are 60° and angles around a point add up to 360°

2.

The exterior angle of a regular n-sided polygon is 45°. What is n?

6

7

8

9

360 ÷ 45 = 8

3.

A regular quadrilateral is a .......

rectangle

rhombus

square

trapezium

4.

If the interior angle of a regular n-sided polygon is 150°, what is n?

9

10

11

12

Exterior angle is 180 - 150 = 30. 360 ÷ 30 = 12

5.

A polygon with all sides the same length and all angles equal is called .......

real

reflex

regular

reliable

6.

The sum of the exterior angles of a polygon is .......

180°

360°

720°

it depends on the number of sides

The exterior angle sum of any polygon, no matter how many sides, is always 360°

7.

If the exterior angle of a polygon is 45° what is the corresponding interior angle?

75°

108°

135°

160°

The sum of the exterior and interior angles at any corner is always 180° because they are angles on a straight line

8.

The sum of the interior angles of a pentagon (5 sides) is .......

540°

900°

360°

1,080°

Triangle has 180°, quadrilateral has 360°; each extra side adds 180° to total, so pentagon has 360 + 180°

9.

A polygon with n sides has an angle sum of .......

180n

180(n + 1)

180(n - 1)

180(n - 2)

3 sides 1 x 180°, 4 sides 2 x 180°, 5 sides 3 x 180°,…. n sides (n - 2) x 180°

10.

Which of these tile shapes will not tesselate with only others of the same shape and size?

Regular hexagon

Isosceles triangle

Regular octagon

Trapezium

Check the angles

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