Year 5 maths topics

Key Stage 2 · ages 9 to 10 · 22 topics first taught in Year 5. Earlier topics keep coming back in review.

Number

Decimals: Add, subtract, multiply and divide decimals.
Factors and multiples: Factors, multiples, highest common factor and lowest common multiple.
Fractions of amounts: Find a fraction of a number or quantity.
Mixed numbers and improper fractions: Count the fraction pieces in whole numbers and mixed numbers.
Multiplying fractions by whole numbers: Multiply a fraction by a whole number, and write the answer as a mixed number.
Numbers to a million: Read, write and compare numbers to 1,000,000, and multiply and divide by 10, 100 and 1,000.
Prime, square and cube numbers: Know prime numbers up to 19, and use square and cube numbers.
Thousandths: Read, write and compare decimals with three decimal places, and relate thousandths to tenths and hundredths.

Converting units: Convert between metric units of length, mass and capacity.
Metric and imperial units: Convert between common metric and imperial units using a given rule, such as inches and centimetres, or miles and kilometres.
Multiplying and dividing money: Multiply a price by a number, and share an amount to find the price of one.
Perimeter and area: Perimeter and area of rectangles and triangles.
Shopping bills: Work out the cost of several items, and the change from a bigger note.
Volume of cuboids: Use layers of cubes to calculate volume.

3-D shapes: Count the faces, edges and vertices of 3-D shapes.
Angles: Angles on a line, around a point, in triangles and quadrilaterals.
Drawing angles with a protractor: Draw an angle of a given size by turning an arm on a protractor.
Measuring angles with a protractor: Read the size of an angle from a protractor, using the right scale.
Nets and 3D solids: Count the faces, edges and corners of a solid, and use them to check a net.
Properties of rectangles: Use the properties of rectangles to find missing lengths and angles.
Regular and irregular polygons: Tell regular polygons (equal sides and angles) from irregular ones.

Line graphs: Read values from a line graph, find changes, and estimate between two readings.