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Maths

Geometry - properties of shapes

2D shapes: Types and properties

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Algebra

Simple formulae

Linear number sequences

Missing number problems

Solving equations with two unknowns

Ratio and proportion

Solving ratio problems

Calculating percentages of amounts

Scale factor problems

Unequal sharing

Statistics

Pie charts

Line graphs

Discrete and continuous data

Mean, median, mode and range

Geometry - position and direction

Coordinate polygons

Drawing and reflecting shapes on the coordinate grid

Drawing and translating shapes on the coordinate grid

Describing positions in the four quadrants

Geometry - properties of shapes

2D shapes: Types and properties

3D shapes: Types and properties

Comparing and classifying shapes

3D shape nets

Geometric shapes: Types and properties

Parts of a circle

Drawing and measuring angles with a protractor

Angles around a point and on a straight line

Finding missing angles

Measurement

Calculate and convert between units of measure

Perimeter of composite rectilinear shapes

Area of irregular shapes

Area of parallelograms and triangles

Formulae for the area and volume of shapes

Calculating the volume of cubes and cuboids

Fractions

Finding fractions of amounts

Mixed numbers and improper fractions

Comparing and ordering fractions greater than 1

Simplifying fractions

Add and subtract fractions: Different denominators

Multiplying pairs of proper fractions

Dividing fractions by whole numbers

Equivalent fractions, decimals and percentages

Multiplying decimals by whole numbers

Dividing and expressing the answer as a decimal

Multiplication and division

Times tables up to 12 x 12

Multiplying a 4-digit number by a 1 or 2-digit number

Dividing numbers up to 4 digits by a 2-digit number

Mental maths strategies

Common factors and multiples

Order of operations: BIDMAS

Using estimation to check answers

Addition and subtraction

Adding numbers using mental maths

Using column addition to add numbers

Subtracting numbers using mental maths

Using column subtraction to subtract numbers

Multi-step problems with addition and subtraction

Inverse operations to check calculations

Number and place value

Numbers to 10,000,000

Place value: Four-digit numbers

Representing numbers in different ways

Rounding any number up to 1,000,000

Counting using positive and negative numbers

Counting in powers of 10

Negative numbers

Explainer Video

Tutor: Holly

Summary

2D shapes: Types and properties

In a nutshell

2D shapes are flat shapes that are sometimes called plane shapes. There are many different types of 2D shapes. Regular polygons have equal side lengths and equal angles.

Polygons

Polygons are straight-sided shapes. Regular polygons have sides of equal length, and equal angles. Irregular polygons have at least one side or angle that is different in size. Below are examples of polygons.

Examples

A triangle has three sides.

Maths; Geometry - properties of shapes; KS2 Year 3; 2D shapes: Types and properties

A quadrilateral is a shape that has four sides.

A pentagon has five sides.

A hexagon has six sides.

A heptagon has seven sides.

An octagon has eight sides.

Quadrilaterals

Quadrilaterals are four-sided shapes. There are a number of different types of quadrilateral:

Square

Four sides of equal length.
Four right angles.
The diagonals meet at right angles.
Two pairs of parallel sides.

Rectangle

Two pairs of equal sides.
Four right angles.
Two pairs of parallel sides.

Rhombus

Four sides of equal length.
Opposite sides are parallel.
Opposite angles are equal.

Parallelogram

Opposite sides are the same length.
Opposite sides are parallel.
Opposite angles are equal.

Trapezium

One pair of parallel sides.

Kite

Two pairs of equal sides next to each other.
No sides are parallel.

Triangles

A triangle is a 2D plane shape with three straight sides and three angles. There are four types of triangle:

Equilateral triangle

All three sides are equal.
All three angles are equal.

Isosceles triangle

Two sides are equal.
Two angles are equal.

Scalene triangle

All sides are different.
All angles are different.

Right angled triangle

One angle is a right angle.

Circles

A circle is a shape made up of all points in a plane that are a fixed distance from the centre. There are a number of properties of a circle:

Radius - the distance from the edge to the centre of a circle.
Diameter - the distance across a circle through its centre.
Circumference - the length of the outside edge of a circle.

Note: The diameter of a circle is twice the radius.

Learn with Basics

Length:

2D shapes: Types and properties

Final Test

Create an account to complete the exercises

FAQs - Frequently Asked Questions

What is the circumference of a circle?

The circumference is the length of the outside edge of a circle.

What is a triangle?

A triangle is a 2D plane shape with three straight sides and three angles.

What is a circle?

A circle is a shape made up of all points in a plane that are a fixed distance from the centre.

What is a polygon?

A polygon is a straight-sided 2D (plane) shape.

What is the name for a four-sided shape?

The name for a four-sided shape is a quadrilateral.

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Home

Maths

Geometry - properties of shapes

2D shapes: Types and properties

Videos

Summary

Exercises

Select Lesson

Algebra

Simple formulae

Linear number sequences

Missing number problems

Solving equations with two unknowns

Ratio and proportion

Solving ratio problems

Calculating percentages of amounts

Scale factor problems

Unequal sharing

Statistics

Pie charts

Line graphs

Discrete and continuous data

Mean, median, mode and range

Geometry - position and direction

Coordinate polygons

Drawing and reflecting shapes on the coordinate grid

Drawing and translating shapes on the coordinate grid

Describing positions in the four quadrants

Geometry - properties of shapes

2D shapes: Types and properties

3D shapes: Types and properties

Comparing and classifying shapes

3D shape nets

Geometric shapes: Types and properties

Parts of a circle

Drawing and measuring angles with a protractor

Angles around a point and on a straight line

Finding missing angles

Measurement

Calculate and convert between units of measure

Perimeter of composite rectilinear shapes

Area of irregular shapes

Area of parallelograms and triangles

Formulae for the area and volume of shapes

Calculating the volume of cubes and cuboids

Fractions

Finding fractions of amounts

Mixed numbers and improper fractions

Comparing and ordering fractions greater than 1

Simplifying fractions

Add and subtract fractions: Different denominators

Multiplying pairs of proper fractions

Dividing fractions by whole numbers

Equivalent fractions, decimals and percentages

Multiplying decimals by whole numbers

Dividing and expressing the answer as a decimal

Multiplication and division

Times tables up to 12 x 12

Multiplying a 4-digit number by a 1 or 2-digit number

Dividing numbers up to 4 digits by a 2-digit number

Mental maths strategies

Common factors and multiples

Order of operations: BIDMAS

Using estimation to check answers

Addition and subtraction

Adding numbers using mental maths

Using column addition to add numbers

Subtracting numbers using mental maths

Using column subtraction to subtract numbers

Multi-step problems with addition and subtraction

Inverse operations to check calculations

Number and place value

Numbers to 10,000,000

Place value: Four-digit numbers

Representing numbers in different ways

Rounding any number up to 1,000,000

Counting using positive and negative numbers

Counting in powers of 10

Negative numbers

Explainer Video

Tutor: Holly

Summary

2D shapes: Types and properties

In a nutshell

2D shapes are flat shapes that are sometimes called plane shapes. There are many different types of 2D shapes. Regular polygons have equal side lengths and equal angles.

Polygons

Examples

A triangle has three sides.

A quadrilateral is a shape that has four sides.

A pentagon has five sides.

A hexagon has six sides.

A heptagon has seven sides.

An octagon has eight sides.

Quadrilaterals

Quadrilaterals are four-sided shapes. There are a number of different types of quadrilateral:

Square

Four sides of equal length.
Four right angles.
The diagonals meet at right angles.
Two pairs of parallel sides.

Rectangle

Two pairs of equal sides.
Four right angles.
Two pairs of parallel sides.

Rhombus

Four sides of equal length.
Opposite sides are parallel.
Opposite angles are equal.

Parallelogram

Opposite sides are the same length.
Opposite sides are parallel.
Opposite angles are equal.

Trapezium

One pair of parallel sides.

Kite

Two pairs of equal sides next to each other.
No sides are parallel.

Triangles

A triangle is a 2D plane shape with three straight sides and three angles. There are four types of triangle:

Equilateral triangle

All three sides are equal.
All three angles are equal.

Isosceles triangle

Two sides are equal.
Two angles are equal.

Scalene triangle

All sides are different.
All angles are different.

Right angled triangle

One angle is a right angle.

Circles

A circle is a shape made up of all points in a plane that are a fixed distance from the centre. There are a number of properties of a circle:

Radius - the distance from the edge to the centre of a circle.
Diameter - the distance across a circle through its centre.
Circumference - the length of the outside edge of a circle.

Note: The diameter of a circle is twice the radius.

Learn with Basics

Length:

2D shapes: Types and properties

Final Test

Create an account to complete the exercises

FAQs - Frequently Asked Questions

What is the circumference of a circle?

The circumference is the length of the outside edge of a circle.

What is a triangle?

A triangle is a 2D plane shape with three straight sides and three angles.

What is a circle?

A circle is a shape made up of all points in a plane that are a fixed distance from the centre.

What is a polygon?

A polygon is a straight-sided 2D (plane) shape.

What is the name for a four-sided shape?

The name for a four-sided shape is a quadrilateral.

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