 Key Stage 2 Maths Resources | Year 5 Maths Curriculum

# 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
Read, write, order and compare numbers to at least 1,000,000
Determine the value of each digit in numbers up to 1,000,000
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.
Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000
Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
Solve number problems and practical problems that involve 5N1-5N5
CALCULATIONS (+, –, ÷, ×)
Add and subtract numbers mentally with increasingly large numbers
Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers
Know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers
Establish whether a number up to 100 is prime and recall prime numbers up to 19
Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
Multiply and divide numbers mentally drawing upon known facts
Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
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
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
Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
Solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates
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}
Identify name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Compare and order fractions whose denominators are all multiples of the same number
Add and subtract fractions with the same denominator and denominators that are multiples of the same number
Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Read and write decimal numbers as fractions {eg: 0.71 = 71 ⁄ 100}
Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
Round decimals with two decimal places to the nearest whole number and to one decimal place
Read, write, order and compare numbers with up to three decimal places
Solve problems involving numbers up to three decimal places
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.
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
MEASUREMENT
Solve problems involving converting between units of time.
Convert between different units of metric measure {eg: kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre}
Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
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
Estimate volume {eg: using 1cm³ blocks to build cuboids (including cubes)} and capacity {eg:using water}
Use all four operations to solve problems involving measure {money} using decimal notation,including scaling
Use all four operations to solve problems involving measure {eg: length} using decimal notation,including scaling
Use all four operations to solve problems involving measure {eg: mass} using decimal notation, including scaling.
Use all four operations to solve problems involving measure {eg: volume} using decimal notation, including scaling
GEOMETRY properties of shapes
Use the properties of rectangles to deduce related facts and find missing lengths and angles
Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
Identify 3-D shapes including cubes and other cuboids, from 2-D representations
Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
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°
Draw given angles and measure them in degrees (°)
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
STATISTICS
Complete, read and interpret information in tables, including timetables
Solve comparison, sum and difference problems using information presented in a line graph

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