GCSE Maths Grade Indicators - Number


Grade 1

Integers, Decimals, Powers, Indices and Surds

  • Read, write and order integers up to and including 4 digit numbers

  • Order, add and substract positive and negative integers within context

  • Round whole numbers to the nearest 1000

  • Use the symbols < and >

  • Be able to use mental methods to find remainders after division

  • Be able to use mental methods to add and subtract integers

  • Use written methods to multiply and divide upto three-digit numbers by a single-digit number

  • Multiply and divide whole numbers by powers of 10

  • Be aware of using the orders of operation

  • Understand and use inverse operations

  • Identify square numbers up to 10

  • By inspection, recognise odd and even numbers

  • Know the definition of a prime number and be able to list the first 10 prime numbers

  • Know the definition of multiples and be able to recognise multiples

  • Identify factors of 2-digit numbers

Fractions and Decimals

  • Use vocabulary associated with fractions such as numerator and denominator

  • Recognise simple fractions when illustrated on a shape

  • Write fractions to describe shaded parts of a shape or diagram

  • Use diagrams to find equivalent fractions

  • Use diagrams to compare fractions

  • Convert simple fractions into decimals (such as tengths and hundredths)

  • Recognise when fractions are equivalent

  • Be able to recognise descriptions of fractions and write down the corresponding fractions (eg. write down the fraction "three quarters")

  • Find equivalent fractions through simplification

  • Find equivalent decimals

  • Calculate simple fractions of quantities

  • Be able to use written methods to add and subtract decimals with common denominators

  • Be able to convert simple metric units into imperial units

Grade 2

Integers, Decimals, Powers, Indices and Surds

  • Understand positive and negative numbers as positions on a number line

  • Be able to order, add and subtract positive and negative integers within context

  • Round whole numbers to the nearest 10, 100 or 1000

  • Round decimal numbers to one decimal place or nearest whole number

  • Multiply and divide 3-digit numbers by 2-digit integers

  • Be aware of and use the order of operators including simple brackets

  • Use inverse operations in the context of integers

  • Multiply any integer or decimal by powers of 10

  • Understand use decimal notation and place value

  • Identify square numbers up to 122

  • Identify square roots up to 122

  • Be able to proficiently use a calculator to find square roots

  • Be able to calculate and identify highest commfon factors and lowest common multiples in simple scenarios

Fractions and Decimals

Grade 3

Integers, Decimals, Powers, Indices and Surds

  • Be able to round to 2 decimal places when required

  • Round positive numbers to the power of 10 and decimals to the nearest integer

  • Add and subtract integers of any size using simple written notation

  • Use and apply the order of operations to more complex situations (including the use of multiple brackets)

  • Multiply and divide integers and decimals by 0.1 and 0.01

  • Be able to use positive and negative square roots, cube and cube roots

  • Use index notation for small positive integer powers

  • Be able to find prime factors of a number (prime factor decomposition)

Fractions and Decimals

  • Be able to add and subtract any decimal numbers (including those with differing amounts of decimal places)

  • Be able to recognise and convert between mixed numbers and improper fractions

  • Comfortably multiply integers by fractions (including those where they must convert from a mixed number prior)

  • Be able to use a calculate the enter fractions and use it to carry out simple calculations involving fractions

  • Use written division methods to convert a fraction to a decimal

  • Recognise recurring decimals can be illustrated as fractions (not required to be able to convert from recurring decimals to fractions at this point)

  • Order fractions in ascending and descending order, including those which have different denominators

  • Order decimals in ascending and descending order, including those which have a differing number of decimal places

  • Use inequality signs to show comparisons between two fractions, two decimals, and one fraction and one decimal

  • Convert a fraction to a decimal to make calculations easier

  • Convert recurring decimals to fractions

  • Be aware that rounding during intermediate calculations can significantly affect the accuracy of an answer

  • Know that division is multiplicative inverse

Grade 4

 Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grade 5

 Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grade 6

Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

  • Convert a fraction to a recurring decimal

  • Convert a recurring decimal to a fraction

Grade 7

 Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grades 8 - 9

 Integers, Decimals, Powers, Indices and Surds