# KS2 – Year 5 Maths Curriculum

Below is a detailed description of the Year 5 Maths syllabus which is being taught in schools in England and Wales. You will also find links to useful Year 5 Maths resources and revision materials. Children aged 9 to 10 in year 5 should be able to answer these maths questions.

NUMBER
Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
5N15N125N135N14
Read, write, order and compare numbers to at least 1,000,000
5N25N22
Determine the value of each digit in numbers up to 1,000,000
5N3A5N3A25N3A35N3A4
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.
5N3B5N3B25N3B35N3B4
Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000
5N45N42
Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
5N55N525N535N54
Solve number problems and practical problems that involve 5N1-5N5
5N65N625N63
CALCULATIONS (+, –, ÷, ×)
Add and subtract numbers mentally with increasingly large numbers
5C15C115C12
Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
5C25C225C235C24
Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
5C35C325C335C34
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
5C45C425C43
Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers
5C5A5C5A25C5A35C5A4
Know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers
5C5B
Establish whether a number up to 100 is prime and recall prime numbers up to 19
5C5C5C5C2
Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
5C5D5C5D25C5D35C5D4
Multiply and divide numbers mentally drawing upon known facts
5C6A5C6A25C6A35C6A4
Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
5C6B5C6B25C6B35C6B4
Multiply numbers up to 4 digits by a one or two-digit number using a formal written method, including long multiplication for two digit numbers
5C7A5C7A25C7A35C7A4
Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
5C7B5C7B25C7B3
Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
5C8A5C8A25C8A35C8A4
Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
5C8B5C8B25C8B3
Solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates
5C8C5C8C2
FRACTIONS
Recognise mixed numbers and improper fractions and convert from one form to the other; write mathematical statements >1 as a mixed number {eg: ⅖ + ⅘ = 1 ⅕}
5F2A5F2A25F2A35F2A4
Identify name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
5F2B5F2B2
Compare and order fractions whose denominators are all multiples of the same number
5F35F32
Add and subtract fractions with the same denominator and denominators that are multiples of the same number
5F45F42
Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
5F55F525F535F54
Read and write decimal numbers as fractions {eg: 0.71 = 71 ⁄ 100}
5F6A5F6A2
Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
5F6B5F6B2
Round decimals with two decimal places to the nearest whole number and to one decimal place
5F75F725F735F74
Read, write, order and compare numbers with up to three decimal places
5F85F825F83
Solve problems involving numbers up to three decimal places
5F105F1025F103
Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred'; write percentages as a fraction with denominator hundred, and as a decimal.
5F115F1125F1135F114
Solve problems which require knowing percentage and decimal equivalents of ½ , ¼ , ⅕ , ⅖ , ⅘ and those fractions with a denominator of a multiple of 10 or 25
5F125F1225F1235F1245F125
MEASUREMENT
Solve problems involving converting between units of time.
5M45M425M435M44
Convert between different units of metric measure {eg: kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre}
5M55M52
Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
5M65M62
Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes
5M7B5M7B2
Estimate volume {eg: using 1cm³ blocks to build cuboids (including cubes)} and capacity {eg:using water}
5M85M825M83
Use all four operations to solve problems involving measure {money} using decimal notation,including scaling
5M9A5M9A2
Use all four operations to solve problems involving measure {eg: length} using decimal notation,including scaling
5M9B5M9B2
Use all four operations to solve problems involving measure {eg: mass} using decimal notation, including scaling.
5M9C5M9C2
Use all four operations to solve problems involving measure {eg: volume} using decimal notation, including scaling
5M9D5M9D25M9D3
GEOMETRY properties of shapes
Use the properties of rectangles to deduce related facts and find missing lengths and angles
5G2A5G2A25G2A3
Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
5G2B5G2B2
Identify 3-D shapes including cubes and other cuboids, from 2-D representations
5G3B5G3B2
Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
5G4A5G4A25G4A35G4A4
Identify:
- angles at a point and one whole turn (total 360°)
- angles at a point on a straight line and ½ a turn (total 180°)
- other multiples of 90°
5G4B5G4B2
Draw given angles and measure them in degrees (°)
5G4C5G4C2
GEOMETRY position and direction
Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed
5P25P225P235P245P25
STATISTICS
Complete, read and interpret information in tables, including timetables
5S15S12
Solve comparison, sum and difference problems using information presented in a line graph
5S25S225S235S24