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Shapes (Difficult)

This 11 Plus Maths quiz explores the properties of complex shapes. Pupils learn how sides, angles, and symmetry form the basis of accurate design and problem-solving.

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Fascinating Fact:

An equilateral triangle has three equal sides and three equal angles, while an isosceles triangle only has two equal sides, a subtle difference with big consequences for construction.

In 11 Plus Maths, pupils develop a deeper understanding of 2D and 3D shapes. They explore how to calculate angles, identify symmetry, and apply shape knowledge to architecture, art, and engineering.

Key Terms

Equilateral Triangle: A triangle with three equal sides and angles of 60 degrees each.
Isosceles Triangle: A triangle with two sides and two angles that are equal.
Scalene Triangle: A triangle where all sides and angles are different.

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

Frequently Asked Questions (Click to see answers)

How can you tell if a triangle is equilateral?

An equilateral triangle has all three sides the same length and all internal angles measuring exactly 60 degrees each.

What makes triangles important in construction?

Triangles distribute weight evenly and resist bending, making them the strongest and most stable shape used in bridges, roofs, and towers.

What is the difference between 2D and 3D shapes?

2D shapes are flat and have length and width only, while 3D shapes have depth as well, making them solid objects like cubes or pyramids.

Try These Related Quizzes

1 .

What is the name of the quadrilateral that has the following properties?
All its interior angles are 90°.
All its sides are of equal length.
Its opposite sides are parallel.
Its diagonals bisect each other at 90°.
Its diagonals are of equal length.

Trapezium

Rectangle

Rhombus

Square

Learn these facts

2 .

What is the name of the quadrilateral that has the following properties?
All its interior angles are 90°.
Its opposite sides are of the same length.
Its diagonals are of the same length.

Parallelogram

Rhombus

Trapezium

Rectangle

A 'rectangle' is also called an 'oblong'. Learn these facts

3 .

What is the name of the quadrilateral that has the following property?
Only one pair of opposite sides is parallel.

Trapezium

Rhombus

Square

Kite

A 'trapezoid' is like a trapezium, but it doesn't have any parallel sides. The words 'trapezium' and 'trapezoid' have been used as defined in British English. Learn these facts

4 .

What is the name of the quadrilateral that has the following properties?
It has two pairs of sides of equal length.
Only one pair of diagonally opposite angles is equal.
Only one of its diagonals is bisected by the other.
Its diagonals intersect at 90°.

Kite

Rhombus

Parallelogram

Square

Learn these facts

5 .

What is the name of the quadrilateral that has the following properties?
It has diagonally opposite equal angles.
Its opposite sides are of the same length.
Its opposite sides are parallel.
Its diagonals bisect each other.

Rectangle

Rhombus

Parallelogram

Kite

Learn these facts

6 .

What is the name of the quadrilateral that has the following properties?
Its diagonally opposite angles are the same.
Its sides are of equal length.
Its opposite sides are parallel.
Its diagonals bisect each other at 90°.

Parallelogram

Rhombus

Kite

Trapezium

Learn these facts

7 .

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

180°

720°

360°

270°

A quadrilateral can be split into two non-overlapping triangles: 180° + 180° = 360°

8 .

What is the name given to a quadrilateral whose sides are all the same length and whose interior angles are all the same size?

A regular quadrilateral

A symmetric quadrilateral

A normal quadrilateral

An irregular quadrilateral

The term 'regular' is also used for polygons whose side lengths are all the same, e.g. a regular pentagon has five sides all of the same length, and its interior angles are all the same size: 108°

9 .

There is only one regular quadrilateral. What is it called?

A rectangle

A parallelogram

A square

A rhombus

That's a fact worth knowing

10 .

Which of the following shapes is also a parallelogram?

Kite

Rhombus

Trapezoid

Trapezium

The square, rhombus and rectangle are also parallelograms because their opposite sides are parallel and equal in length AND their opposite angles are equal in size

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