Welcome to the second of our Difficult Eleven plus maths quizzes on Shapes. If you’ve made it this far then you should breeze through these questions. They are a mixture on terms used to describe 2-D and 3-D shapes.

There are many different shapes that you need to learn. Yes, there are the obvious ones like circles, squares, triangles and cubes. But there are some more obscure ones such as trapeziums, rhomboids, parallelograms and ellipses. You need to know exactly what these shapes look like and some of their properties.

If you need more practice with shapes then fear not! Just play this quiz and all of the others on shapes until you get all the questions right first time. The more you play, the more you learn so keep at it!

Now let's see how well you can do - good luck!

1.

What is the sum of the interior angles of a triangle?

180^{o}

360^{o}

540^{o}

720^{o}

2.

What is the name given to a five-sided shape whose sides are all the same length and whose interior angles are all the same size?

A regular heptagon

A regular hexagon

A regular pentagon

A regular quadrilateral

The term 'regular' is used for any polygon with equal sides and internal angles

3.

What is the name of the shape that has the following properties?

It has two pairs of opposite sides equal in length

It has two pairs of opposite angles equal in size but not 90^{o}

It is a quadrilateral

It has two pairs of opposite sides equal in length

It has two pairs of opposite angles equal in size but not 90

It is a quadrilateral

Kite

Trapezium

Rectangle

Parallelogram

The word "parallelogram" comes from the Greek for “bounded by parallel lines”.

Rectangles are parallelograms in which the internal angles are equal to 90^{o}

Rectangles are parallelograms in which the internal angles are equal to 90

4.

What is the name of the shape that has the following properties?

It is a polyhedron

It has two ends called “bases”

Its bases are the same size and shape

It has three or more straight edges

It is a polyhedron

It has two ends called “bases”

Its bases are the same size and shape

It has three or more straight edges

A pyramid

A prism

A tube

A cylinder

Cylinders are similar to prisms, but they have curved edges

5.

What do we call a regular triangle?

A right-angle triangle

An equilateral triangle

An isosceles triangle

A scalene triangle

Equilateral triangles have sides of equal length and interior angles of 60^{o}

6.

Which shape has the following properties?

All its interior angles are 120^{o}

The sum of its interior angles is 720^{o}

It can be split into six equilateral triangles

It has six vertices

All its interior angles are 120

The sum of its interior angles is 720

It can be split into six equilateral triangles

It has six vertices

A regular hexagon

A regular quadrilateral

A regular pentagon

A regular triangle

A hexagon is a polygon with six sides and six corners

7.

What is the name of the shape that has the following properties?

All points on its surface are the same distance from its centre

The distance from its centre to its surface is called its radius

The formula for its surface area is 4πr^{2}

It is perfectly symmetrical around its centre

All points on its surface are the same distance from its centre

The distance from its centre to its surface is called its radius

The formula for its surface area is 4πr

It is perfectly symmetrical around its centre

A circle

An ellipse

A sphere

A cytlinder

The formula for the area of a circle is πr^{2}

8.

What is another name for an oval shape?

Arc

Sector

Curve

Ellipse

An ellipse is a curved shape, similar to a squashed circle

9.

What is the name of the shape that has the following properties?

It has six faces

All its internal angles are 90^{o}

Its height, width and depth are all equal

It has eight vertices

It has six faces

All its internal angles are 90

Its height, width and depth are all equal

It has eight vertices

A pyramid

A square

A prism

A cube

A cube is, of course, a 3-D square

10.

Which of the following shapes not a quadrilateral?

Square

Cube

Trapezium

Kite

Quadrilaterals are 2-D shapes with four sides. There are plenty of different quadrilaterals: kites parallelograms, rhomboids, rectangles, oblongs, squares, and trapeziums for example

^{o}. You can cut a quadrilateral in half to make two triangles: 360^{o}÷ 2 = 180^{o}