 # Understanding the National Maths Curriculum Level 5

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The following is a summary of the UK National Mathematics Curriculum Level 5 – i.e. what you would be expected to know when sitting the 11+. Note that it is somewhat abbreviated; you can find the entire curriculum on the government website.

## What children are expected to know:

– How to read, write, order and compare numbers to at least 1 million, and understand the value of each digit
– Understand negative numbers in their context
– Count back and forward through positive negative numbers (i.e. through zero)
– Round any number to the nearest 10, 100, 1000, 10000, or 100000
– Read Roman numerals up to M (1000) and therefore recognise years written in Roman numerals

– Understand multiples and factors, and have the ability to find common factors of two numbers
– Understand what a prime number is and what composite numbers are
– Understand whether any number up to 100 is prime or not
– Recall all the prime numbers up to 19

– Multiply numbers of up to 4 digits by another number of either one or two digits using a written method
– Use known facts to multiply or divide numbers mentally
– Divide numbers of up to 4 digits by a one digit number and interpret remainders

– Add and subtract whole numbers with more than 4 digits using written methods
– Add and subtract numbers mentally, using known facts
– Use rounding to check answers and understand which option is likely to be correct from a given set

– Solve addition and subtraction problems that involve multiple steps
– Decide which order of operations is correct and why ##### Online Course

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– Compare and order fractions whose denominators are multiples of the same number
– Understand equivalent fractions for a given fraction, which may be represented visually, including tenths and hundredths
– Convert mixed number and improper fractions and be able to use these in mathematical statements
– Add and subtract fractions that use the same denominator, or that have denominators that are multiples of the same number
– Multiply fractions by whole numbers
– Understand how to convert decimal numbers into fractions
– Understand the relationship between tenths, hundredths, and thousandths, and relate them to decimals
– Round decimals to one decimal place and to the nearest whole number
– Compare decimals and understand which are larger or smaller
– Understand that a percentage is a hundredth and the meaning of the percentage symbol
– Convert percentages to decimals and fractions
– Solve problems that mix fractions, decimals, and percentages

– Identify 3D shapes to include cubes and other cuboids, based on their 2D representations
– Understand different angles to include acute, obtuse and reflex angles
– Draw angles and measure them using a protractor
– Identify that all angles in a circle add up to 360 degrees, that angles on a straight line add up to 180 degrees, and that ¼ of a 360 shape i.e. a right angle is 90 degrees
– Understand how to use the properties of rectangles to find missing lengths and angles
– Understand the differences between regular and irregular polygons through using knowledge on the length of sides and angles

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– Understand how to reflect and translate shapes. This means that you must be able to identify what each of these processes is, and how the shape moves, as well as understanding that the shape itself has not changed – only its orientation in space.

– You must be able to convert between different units of metric measurement e.g. cm to metres, grams to kg, ml to litre. You should understand approximate equivalences between the metric and common imperial units, like inches, pints and pounds.

– You should be able to measure the perimeter of composite shapes based on rectangles
– You should be able to calculate and compare the areas of rectangles and use either standard units, cm2 or m2 to estimate the area of irregular shapes
– You should be able to estimate volume, e.g. through using 1cm3 blocks to build up cuboids
– You should understand the concept of capacity, e.g. the capacity of a tank to hold an amount of liquid

– You should be able to convert between different units of time

– You should be able to solve problems that involve measuring common quantities, like length, amounts of money, or weight, using decimals and scaling

– You should be able to use information presented in a graph to solve problems

– You should be able to complete tables based on interpreting the information within them, including timetables
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