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Curved lines on the bottom of a swimming pool

An arc is part of a curve, such as the circumference of a circle.

Shapes 2 (Medium)

This 11 Plus Maths quiz explores polygons and how they shape the world around us. Pupils learn about sides, angles, and names of common geometric forms.

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(quiz starts below)

Fascinating Fact:

The Pentagon building in the USA really does have five sides, geometry gave it its name.

In 11 Plus Maths, pupils study how shapes are classified by their sides and angles. Learning about polygons helps in geometry, map reading, and even architecture.

Key Terms

Polygon: A 2D shape made of straight sides, such as a triangle, square, or hexagon.
Regular Shape: A shape with all sides and angles equal, like a regular pentagon.
Angle: The space between two intersecting lines, measured in degrees.

Learn more about 11 Plus subjects in our guide for parents.

Frequently Asked Questions (Click to see answers)

Why is the Pentagon called the Pentagon?

The name comes from its five-sided shape. “Penta” means five and “gon” means angle in Greek, making “pentagon” mean “five-angled.”

What are examples of polygons in real life?

Stop signs are octagons, honeycomb cells are hexagons, and floor tiles are often squares or rectangles—all examples of polygons used every day.

What is the difference between regular and irregular shapes?

Regular shapes have sides and angles that are all equal. Irregular shapes have sides or angles of different lengths or sizes.

Try These Related Quizzes

1 .

Which one of the following statements is incorrect?

The distance around the outside of a circle is called the perimeter

A circle is a round, 2-D shape that looks like a letter ‘O’

A straight line from the centre of a circle to its edge is called the radius

The distance around the outside of a circle is called the circumference

I hope that you didn't get this wrong! The perimeter of a curved shape or arc is known as the circumference

2 .

What is the formula to calculate the circumference of a circle?

Π x radius

Π x diameter

Π x radius²

Π x diameter²

There are several formulae we use that involve ? and you would do well to learn them!

3 .

Which one of the following statements is incorrect?

All the points on the edge of a circle are the same distance from its centre

A tangent is a straight line that touches a single point on the edge of a circle

All the points on the edge of a circle are the same distance from one another

A sector is the part of a circle between two radii (plural of radius) and its edge

All the points on the edge of a circle are the same distance from its centre – that’s how pairs of compasses are able to draw circles

4 .

Which one of the following statements is correct?

The full arc of a circle measures 90^o

The full arc of a circle measures 180^o

The full arc of a circle measures 270^o

The full arc of a circle measures 360^o

There are 360^o in a full circle. A semi-circle has 180^o, a quarter-circle 90^o, and a three-quarter circle has 270^o

5 .

We use a Greek letter π to help us work formulae for circles. What is its name?

Alpha

Phi

Gamma

Pi or ? is an important number where circles are concerned. Try to remember its value if you can: 3.142

6 .

What does the following formula tell us about a circle?
Πr²

Its circumference

Its area

Its diameter

Its volume

Area is always measured in units squared (e.g. cm²)

7 .

What do we call a line which joins two points on the edge of a circle but does not pass through its centre?

Diameter

Sector

Chord

Arc

When a chord passes through the centre of a circle it is called its diameter

8 .

What is the name of a shape that forms half a circle?

A moon

A hemi-circle

A demi-circle

A semi-circle

Hemi, demi and semi all mean half, but a half-circle is a semi-circle. Half a sphere is called a hemi-sphere. A half-moon shape is a semi-circle, but most of the time the moon is shaped like a crescent

9 .

Which one of the following statements is incorrect?

An oval shape is known as an ellipse

A circle has the shortest perimeter (circumference) possible for a shape with the same area

A circle has infinite lines of symmetry

A circle has a longer perimeter (circumference) than a square with the same area

Ellipses are like “squashed” circles – the planets orbit the sun in ellipses.
Circles are the most symmetrical of all shapes, and they have the shortest possible perimeter for any given area

10 .

What is the value of π to four decimal places?

3.1425

3.1415

3.1416

3.1419

? goes on forever! Here it is to 100 decimal places: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)