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Shapes - Polygons

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.

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

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°

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

real

reflex

regular

reliable

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

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

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°

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°

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

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

360 ÷ 45 = 8

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

rectangle

rhombus

square

trapezium

10.

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

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

Author: Frank Evans

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