Year 5 New Curriculum

Maths Year 5 Objectives from the New Curriculum (Statutory)

Number & Place Value  
read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit  
count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000  
interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero  
round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000  
solve number problems and practical problems that involve all of the above  
read Roman numerals to 1000 (M) and recognise years written in Roman numerals  
Addition & Subtraction  
add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)  
add and subtract numbers mentally with increasingly large numbers  
use rounding to check answers to calculations and in the context of a problem, levels of accuracy  
solve addition and subtraction multi-step problems in contexts, deciding which operations to use  
Multiplication & Division  
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 (non-prime) numbers  
establish whether a number up to 100 is prime and recall prime numbers up to 19  
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  
multiply and divide numbers mentally drawing upon known facts  
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  
multiply and divide whole numbers and those involving decimals by 10, 100 and 1000  
recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)  
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.  
Number: Fractions, Decimals, Percentages  
compare and order fractions whose denominators are all multiples of the same number  
identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths  
recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number[for example, 2/5 + 4/5 = 6/5 = 1]  
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 [for example, 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 number up to three decimal places  
recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal  
solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.  
Measurement  
convert between different units of metric measure (for example, 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  
measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres  
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 [for example, using 1cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]  
solve problems involving converting between units of time  
use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.  
Geometry – Properties of Shapes  
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  
draw given angles, and measure them in degrees (o)  
identify:  
angles at a point and one whole turn (total 360o)  
angles at a point on a straight line and a turn (total 180o)  
other multiples of 90o  
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.  
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  
solve comparison, sum and difference problems using information presented in a line graph  
complete, read and interpret information in tables, including timetables.