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# GCSE Maths

This covers the content for AQA, Edexcel and eduqas

• Number
• Algebra
• Ratio, Proportion and Rates of Change
• Geometry and Measures
• Probability
• Statistics

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can define the term integer

I can order positive integers

I can order negative integers

I can order fractions

I can order decimalsI can use =, ≠, <, >, ≤, ≥

I can define the mathematical term operation

I can add, subtract, divide and multiply integers

I can add, subtract, divide and multiply fractions

I can add, subtract, divide and multiply decimals

I can order operations; and identify which should be used first

I can recognise opposite operations

I can define and identify prime numbers

I can define and identify factors

I can define and identify multiples

I can define and identify common factors

I can define and identify common multiples

I can define and identify highest common factor (HCF)

I can define and identify lowest common multiple (LCM)

I can define and identify prime factorisation

I can identify and calculate square numbers

I can identify and calculate cube numbers

I can identify and calculate square roots

I can identify and calculate cube rootsI can calculate powers of 4 or higher

I can calculate roots

I can calculate using fractions

I can calculate using π

I can calculate and interpret standard form

I can convert fractions to decimals and decimals to fractions

I can use fractions in ratios

I can use percentages

I can recall and convert standard units for mass

I can recall and convert standard units for time

I can recall and convert standard units for length

I can recall and convert standard units for money

I can use estimation to calculate quantities

I can round numbers to a specified number of decimal places or significant figures

I can use inequalities to show the interval a number might fall between

I can interpret limits of accuracy

Higher tier only

I can estimate powers and roots for a given positive number

I can calculate with surds

I can simplify expression involving surds

I can change recurring decimals to fractions and fractions in to recurring decimals

I can determine upper and lower bound of accuracy

I can use the product rule for counting

I can use fractional indices

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can recognise that a x b is equal to ab

I can recognise that 4a is equal to a + a + a + a or 4 x a

I can recognise that y2 is equal to y x y

I can recognise that a/b is equal to a ÷ b

I can use a x b is equal to ab

I can use 4a is equal to a + a + a + a or 4 x a

I can use y2 is equal to y x y

I can use a/b is equal to a ÷ b

I can put numbers into an algebraic expression and if needed calculate an answer

I can collect like terms in an algebraic expression

I can multiply out a number in front of a bracket

I can factorise an algebraic expression by taking out common factors

I can multiply two expressions

I can factorise x^2 + bx +c

I can simplify an algebraic expression

I can rearrange an algebraic expression to change the subject

I can use the laws of indices

I can use functions

I can plot and determine coordinate from a graph

I can plot a line from the expression y = mx + c

I can identify parallel lines from the expression y = mx + c

I can determine the expression y = mx + c from a graph

I can find the gradient of a line

I can find the intercept of a line

I can identify roots from a graph

I can identify intercepts from a graph

I can identify turning points from a graph

I can recognise and sketch the graphs for linear functions

I can recognise and sketch the graphs for quadratic functions

I can recognise and sketch the graphs for cubic functions

I can recognise and sketch the graphs for 1/x

I can plot graphs

I can interpret distance-time graphs

I can interpret velocity-time graphs

I can solve an equation

I can find approximate solutions to an equation from a graph

I can solve quadratic equations by factorising

I can solve two simultaneous equations

I can make equations from a situation given in text

I can solve linear inequalities and show the answer on a number line

I can find terms in a sequence from the nth term

I can find the nth term from a sequence

I can recognise and use square numbers

I can recognise and use cube numbers

I can recognise and use triangular numbers

Higher tier only

I can simplify algebraic expression involving fractions

I can factorise quadratic equations (ax^2 + bx +c)

I can interpret inverse functions

I can interpret composite functions

I can identify perpendicular line from a graph

I can identify turning points on a graph by completing the square

I can recognise, sketch and interpret graphs for exponential functions

I can recognise, sketch and interpret graphs for trigonometric functions (sin, cos and tan)

I can sketch translations of a functions

I can sketch transformations of a function

I can plot and interpret exponential graphs

I can calculate and estimate the gradients of graphs

I can calculate and estimate the area under a graph

I can determine distance from a distance time graph

I can determine speed from a distance time graph

I can determine distance from a velocity time graph

I can determine speed from a velocity time graph

I can use the equation of a circle to find the equation of a tangent

I can solve quadratic equations by completing the square

I can find approximate solutions to an equation using iteration

I can solve linear inequalities using a graph

I can find the nth term for quadratic sequences

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can recall and convert standard units for time

I can recall and convert standard units for length

I can recall and convert standard units for area

I can recall and convert standard units for volume

I can recall and convert standard units for mass

I can recall and convert standard units for speed

I can recall and convert standard units for rates of pay

I can recall and convert standard units for prices

I can recall and convert standard units for density

I can recall and convert standard units for pressure

I can interpret and use scale factors

I can interpret and use scale diagrams

I can interpret and use maps

I can interpret and use ratio notation

I can apply ratio to real life context

I can express a relationship as a ratio

I can use parts to work out ratios

I can link ratios to fractions

I can use and interpret percentages

I can calculate percentage change

I can compare two things using percentages

I can calculate interest

I can solve questions that involve direct proportionality

I can solve questions that involve inverse proportionality

I can compare different quantities using ratios

I can recall that x being inversely proportional to Y is the same as x being proportional to 1/y

I can use equations to show direct and inverse proportion

I can recognise direct and inverse proportion on a graph

I can recall that the gradient of a line shows the rate of change

I can calculate compound interest

Higher tier only

I can use a tangent to find the gradient at a point on a line

I can determine rate of change from a gradient

I can use iteration

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can define the term point

I can define the term line

I can define the term vertices

I can define the term edge

I can define the term plane

I can define the term parallel lines

I can define the term perpendicular lines

I can define the term right angles

I can define the term polygons

I can define the term regular polygon

I can define the term reflection

I can define the term rotational symmetry

I can use a ruler and compass to draw the perpendicular bisect of a line

I can use a ruler and compass to solve loci problems

I can recall the rules of angles to find angles at a point

I can recall the rules of angles to find angles on a straight line

I can recall the rules of angles to find vertically opposite angles

I can recall the rules of angles to find corresponding angles on parallel lines (do not call them Z angles)

I can recall the rules of angles to find the sum of angles in a triangle

I can recall and apply the properties of a square

I can recall and apply the properties of a rectangle

I can recall and apply the properties of a parallelogram

I can recall and apply the properties of a trapezium

I can recall and apply the properties of a kite

I can recall and apply the properties of a rhombus

I can recall and apply the rules of congruence triangles (SSS, SAS, ASA, and RHS)

I can recall and apply the properties of an equilateral triangle

I can recall and apply the properties of an isosceles triangle

I can rotate a shape

I can reflect a shape

I can translate a shape

I can enlarge a shape

I can define the term centre of a circle

I can define the term radius

I can define the term chord

I can define the term diameter

I can define the term circumference

I can define the term tangent

I can define the term arc

I can define the term sector

I can define the term segment

I can identify properties (including; faces, edges, surfaces and vertices) of cubes

I can identify properties (including; faces, edges, surfaces and vertices) of cuboids

I can identify properties (including; faces, edges, surfaces and vertices) of prisms

I can identify properties (including; faces, edges, surfaces and vertices) of cylinders

I can identify properties (including; faces, edges, surfaces and vertices) of pyramids

I can identify properties (including; faces, edges, surfaces and vertices) of cones

I can identify properties (including; faces, edges, surfaces and vertices) of spheres

I can convert a 2D shape in to a 3D shape and a 3D shape into a 2D shape

I can measure lines and angles

I can measure lines on a map and use scale conversions

I can use bearings

I can recall and use how to find the area of a triangle

I can recall and use how to find the area of a parallelogram

I can recall and use how to find the area of a trapezium

I can recall and use how to find the volume of a cuboid

I can recall and use how to find the volume of a cylinder

I can recall the formulae to determine the circumference of a circle

I can recall the formulae to determine the area of a circle

I can recall the formulae to determine the perimeter of a 2D shape

I can recall the formulae to determine the surface area of a sphere

I can recall the formulae to determine the volume of sphere

I can recall the formulae to determine the surface area of a pyramid

I can recall the formulae to determine the volume of a pyramid

I can recall the formulae to determine the surface area of a cone

I can recall the formulae to determine the volume of a cone

I can calculate arc lengths

I can calculate angles in a circle

I can calculate sectors of a circle

I can determine relationships in similar shapes

I can recall and apply the formula for Pythagoras a^2+b^2=c^2

I can recall and apply the formula for the trigonometric ratios (sin, cos, tan)

I can describe a translation as a vector

I can subtract vectors

I can multiply vectors

Higher tier only

I can enlarge a shape by a negative factor

I can describe a combination of rotations, reflections and translations

I can recall and apply a/(sin⁡A ) = b/(sin⁡B )= c/(sin⁡C )

I can recall and apply a^2 = b^2 + c^2 – 2bc sin C

I can recall and apply area of a non-right angled triangle = ½ ab sin C

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can describe the probability of an event from a table or tree

I can determine if an event if fair, random or equally likely

I can give a value (out of 1) to the probability of an event

I can recall that total probability must equal 1

I can combine sets of probability data using tables

I can combine sets of probability data using Venn diagrams

I can combine sets of probability data using trees

I can combine sets of probability data using grids

I can calculate the probability of a combination of independent events

I can calculate the probability of a combination of dependent events

Higher tier only

I can calculate conditional probability

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...

Below is everything the examiners think you know, if you're not sure of something click on the link to watch my YouTube video explanation. For a copy of these you can print off, get the FREE revision guide I wrote for you.

I can determine the properties of a population or distribution from a sample

I can interpret, construct and use frequency tables

I can interpret, construct and use bar charts

I can interpret, construct and use pie charts

I can interpret, construct and use pictograms

I can interpret, construct and use line charts

I can compare sets of data from graphs

I can calculate the median

I can calculate the mode

I can calculate the mean

I can calculate the range

I can calculate the modal class

I can apply statistic to a population

I can interpret scatter graphs

I can recognise correlation

I can draw a line of best fit

I can make predictions from data

I can work out future trends

Higher tier only

I can construct and interpret histograms with equal and unequal class intervals

I can construct and interpret box plots

I can determine quartiles and inter-quartiles ranges

I want to learn how to...

Click on each statement and that will take you to the YouTube video where its fully explained

I want to practice questions online...

I want a workbook full of practice questions...

I'm aiming for a grade 7, 8 or 9...

I need to learn the equations ...