Liquid error: Could not find asset snippets/loyaltylion.liquid

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49

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 and manipulate surds 

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 use algebra to construct proofs 

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 solve quadratic equations by using the quadratic formula 

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49

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 recall the exact values of sin θ and cos θ where θ = 0°, 30°, 45°, 60° and 90°; and know the exact value of tan θ where θ = 0°, 30°, 45° and 60° 

I can describe a translation as a vector 

I can add vectors 

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 apply circle theorem 

I can prove circle theorem 

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49

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...

Algebra workbook
£0.00

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

I need to learn the equations ...

Flashcards
£0.49