1. Numbers
N1 – Ordering Numbers
Foundation
 order positive and negative integers, decimals and fractions
 use the symbols $=, =,<,>,≤,≥$
Revise:
Revision Videos:
Numbers – Ordering Numbers (Video 1)
Numbers – Ordering Numbers (Video 2)
Numbers – Ordering Numbers (Video 3)
Worksheet: Question paper Answers
Online Exam: Take Exam
N2 – Multiplying and Dividing
Foundation
 apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers – all both positive and negative
Revise:
Revision Videos:
Numbers – Long Division
Numbers – Long Multiplication (Video 1)
Numbers – Long Multiplication (Video 2)
Worksheet:
Long Division: Question paper Answers
Long Multiplication: Question paper Answers
Online Exam:
Long Division: Take Exam
Long Multiplication: Take Exam
N3 – Decimals and place value
Foundation
 understand and use place value (eg when working with very large or very small numbers, and when calculating with decimals)
Revise:
Revision Videos:
Numbers – Decimals (Video 1)
Numbers – Decimals (Video 2)
Numbers – Decimals (Video 3)
Numbers – Decimals (Video 4)
Worksheet: Question paper Answers
Online Exam: Take Exam
N4 – BIDMAS
Foundation
 recognise and use relationships between operations, including inverse operations (eg cancellation to simplify calculations and expressions)
 use conventional notation for priority of operations, including brackets, powers, roots and reciprocals
Revise:
Revision Videos – Numbers – BIDMAS
Worksheet: Question Paper Answers
Online Exam: Take Exam
N5 – Prime Factors LCM, HCF
Foundation
 use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem.
 prime factor decomposition including product of prime factors written in index form.
Revise:
Revision Videos:
Numbers – Prime Factors (Video 1)
Numbers – Prime Factors (Video 2)
Numbers – Prime Factors (Video 3)
Worksheet: Question paper Answers
Online Exam: Take Exam
N6 – Standard From
Foundation
 calculate with and interpret standard form $A×10_{n}$, where $1≤A<10$ and $n$ is an integer
 Notes: with and without a calculator. Interpret calculator displays.
Revise:
Revision Videos:
Numbers – Standard Form (Video 1)
Numbers – Standard Form (Video 2)
Numbers – Standard Form (Video 3)
Worksheet: Question paper Answers
Online Exam: Take Exam
N7 – Fractions (Basics)
Foundation
 work interchangeably with terminating decimals and their corresponding fractions (such as $3.5$ and $27 $ or $0.375$ and $83 $)
 calculate exactly with fractions (Add, subtract, multiply and divide fractions as well as calculating fractions of amounts)
Revise:
Revision Videos:
Numbers – Fractions (Basics) (Video 1)
Numbers – Fractions (Basics) (Video 2)
Numbers – Fractions (Basics) (Video 3)
Numbers – Fractions (Basics) (Video 4)
Worksheet: Question paper Answers
Online Exam: Take Exam
N8 – Fractions and recurring decimals
Higher
 change recurring decimals into their corresponding fractions and vice versa
Revise:
Revision Videos:
Numbers – Fractions and Recurring Decimals (Video 1) (Higher Only)
Numbers – Fractions and Recurring Decimals (Video 2) (Higher Only)
Numbers – Fractions and Recurring Decimals (Video 3) (Higher Only)
Worksheet: Question paper Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
N9 – Fractions/Decimals/Percentages
Foundation
 interpret fractions and percentages as operators
 Notes: including interpreting percentage problems using a multiplier.
Revise:
Revision Videos:
Numbers – Fractions/Decimals/Percentages (Video 1)
Numbers – Fractions/Decimals/Percentages (Video 2)
Numbers – Fractions/Decimals/Percentages (Video 3)
Worksheet: Question paper Answers
Online Exam: Take Exam
N10 – Estimations
Foundation
 estimate answers
 check calculations using approximation and estimation, including answers obtained using technology
 Notes: including evaluation of results obtained.
Revise:
Revision Videos:
Numbers – Estimating (Video 1)
Numbers – Estimating (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
N11 – Rounding Numbers
Foundation
 round numbers and measures to an appropriate degree of accuracy (eg to a specified number of decimal places or significant figures)
Revise:
Revision Videos:
Numbers – Rounding Numbers (Video 1)
Numbers – Rounding Numbers (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
N12 – Bounds and Truncation
Foundation
 apply and interpret limits of accuracy
 use inequality notation to specify simple error intervals due to truncation or rounding
 Notes: including appropriate rounding for questions set in context.
 Students should know not to round values during intermediate steps of a calculation.
Higher
 including upper and lower bounds
Revise:
Revision Videos:
Numbers – Error Interval
Numbers – Upper and lower bounds (Video 1) (Higher Only)
Numbers – Upper and lower bounds (Video 2) (Higher Only)
Worksheets:
Error Interval: Question paper / Answers
Upper and lower bounds: Question paper / Answers (Higher Only)
Online Exams:
Error Interval: Take Exam
Upper and lower bounds: Take Exam
2. Algebra
A1 – Collecting Like terms
Foundation
 use and interpret algebraic notation, including:
 $ab$ in place of $a×b$
 $3y$ in place of $y+y+y$ and $3×y$
 $a_{2}$ in place of $a×a$, $a_{3}$ in place of $a×a×a$, $a_{2}b$ in place of $a×a×b$
 $ba $ in place of $a÷b$
 coefficients written as fractions rather than as decimals brackets
Notes: it is expected that answers will be given in their simplest form without an explicit instruction to do so.
Revise:
Revision Videos:
Algebra – Collecting Like Terms (Video 1)
Algebra – Collecting Like Terms (Video 2)
Algebra – Collecting Like Terms (Video 3)
Worksheet: Question paper / Answers
Online Exam: Take Exam
A2 – Powers and Roots
Foundation
 use positive integer powers and associated real roots (square, cube and higher), recognise powers of $2,3,4,5$.
 including square numbers up to $15×15$
 Students should know that $1000=10_{3}$ and $1million=10_{6}$
 calculate with roots, and with integer indices
Higher
 estimate powers and roots of any given positive number
 calculate with fractional indices
Revise:
Revision Videos:
Algebra – Powers and Roots (Video 1)
Algebra – Powers and Roots (Video 2)
Algebra – Powers and Roots (Video 3)
Algebra – Powers and Roots (Video 4)
Algebra – Indices (Video 1) (Higher Only)
Algebra – Indices (Video 2) (Higher Only)
Worksheets:
Powers and Roots: Question paper / Answers
Indices: Question paper / Answers (Higher Only)
Online Exams:
Powers and Roots: Take Exam
Indices: Take Exam (Higher Only)
A3 – Expanding and Factorising brackets
Foundation
simplify and manipulate algebraic expressions by:
 collecting like terms
 multiplying a single term over a bracket
 taking out common factors simplifying expressions involving sums, products and powers, including the laws of indices
simplify and manipulate algebraic expressions (including those involving surds) by:
Higher
simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
 expanding products of two binomials
 factorising quadratic expressions of the form $x_{2}+bx+c$, including the difference of two squares
 expanding products of two or more binomials factorising quadratic expressions of the form $ax_{2}+bx+c$
Revise:
Revision Videos:
Algebra – Expanding Single Brackets
Algebra – Expanding Double Brackets
Algebra – Expanding Triple Brackets (Video 1) (Higher Only)
Algebra – Expanding Triple Brackets (Video 2) (Higher Only)
Algebra – Factorising into Single Brackets
Algebra – Factorising Quadratics (a=1) (Video 1)
Algebra – Factorising Quadratics (a=1) (Video 2)
Algebra – Factorising Quadratics (a>1) (Higher Only)
Worksheets:
Expanding Single Brackets: Question paper / Answers
Expanding Double Brackets: Question paper / Answers
Expanding Triple Brackets: Question paper / Answers (Higher Only)
Factorising Into Single Brackets: Question paper / Answer
Factorising Quadratics (a=1): Question paper / Answers
Factorising Quadratics (a>1): Question paper / Answers (Higher Only)
Online Exams:
Expanding Single Brackets: Take Exam
Expanding Double Brackets: Take Exam
Expanding Triple Brackets: Take Exam (Higher Only)
Factorising Into Single Brackets: Take Exam
Factorising Quadratics (a=1): Take Exam
Factorising Quadratics (a>1): Take Exam (Higher Only)
A4 – Using Surds
Higher
 calculate exactly with surds
 simplify surd expressions involving squares (eg $12 =4×3 =4 ×3 =23 $ ) and rationalise denominators
Revise:
Revision Videos:
Algebra – Surds – Basics (Video 1) (Higher Only)
Algebra – Surds – Basics (Video 2) (Higher Only)
Algebra – Surds – Rationalise and Harder Surds (Video 1) (Higher Only)
Algebra – Surds – Rationalise and Harder Surds (Video 2)(Higher Only)
Worksheets:
Surds – Basics: Question paper / Answers (Higher Only)
Surds – Rationalise and Harder Surds: Question paper / Answers (Higher Only)
Online Exams:
Surds – Basics: Take Exam (Higher Only)
Surds – Rationalise and Harder Surds: Take Exam (Higher Only)
A5 – Rearranging Formula
Foundation
 understand and use standard mathematical formulae rearrange formulae to change the subject
Revise:
Revision Videos:
Algebra – Rearranging Formulae (Foundation) (Video 1)
Algebra – Rearranging Formulae (Foundation) (Video 2)
Algebra – Rearranging Formulae (Subject Appears Twice) (Higher Only)
Worksheets:
Rearranging Formulas: Question paper / Answers
Rearranging Formula (Subject Appears Twice): Question paper / Answers (Higher Only)
Online Exams:
Rearranging Formulae (Foundation): Take Exam
Rearranging Formulae (Subject Appears Twice): Take Exam
A6 – Solving linear equations
Foundation
 solve linear equations in one unknown algebraically
 including those with the unknown on both sides of the equation
Revise:
Revision Videos:
Algebra – Solving Equations (Video 1)
Algebra – Solving Equations (Video 2)
Algebra – Solving Equations (Video 3)
Algebra – Solving Equations (Video 4)
Worksheet: Question paper / Answers
Online Exam: Take Exam
A7 – Solving quadratics by factorising
Foundation
 solve quadratic equations algebraically by factorizing
 find approximate solutions using a graph
 Include quadratics where $a=1$
Higher
 including those that require rearrangement
 Include quadratics where $a>1$
Revise:
Revision Videos:
Algebra – Solving Quadratics by Factorising (a=1)
Algebra – Solving Quadratics by Factorising (a greater than 1) (Higher Only)
Algebra – Solving Quadratics by Factorising (a greater than 1) – Examples (Higher Only)
Worksheet: Question paper / Answers (Foundation & Higher)
Online Exam:
Solving Quadratics by Factorising (a=1): Take Exam
Solving Quadratics by Factorising (a greater than 1): Take Exam (Higher Only)
A8 – Solving quadratics by completing the square
Higher
 Solve quadratics using by completing the square.
Revise:
Revision Videos:
Algebra – Completing the Square Formula (Higher Only)
Algebra – Completing the Square (a=1) (Higher Only)
Algebra – Completing the Square (a>1) (Higher Only)
Worksheet:
Completing the Square (a=1): Question paper / Answers (Higher Only)
Completing the Square (a>1): Question paper / Answers (Higher Only)
Online Exam:
Completing the Square (a=1): Take Exam (Higher Only)
Completing the Square (a>1): Take Exam (Higher Only)
A9 – Quadratic Formula
Higher
 Solve quadratics using the quadratic formula.
Revise:
Revision Videos:
Algebra – Quadratic Formula (Video 1) (Higher Only)
Algebra – Quadratic Formula (Video 2) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
A10 – Simultaneous Equations
Foundation
 solve two simultaneous equations in two variables (linear/nonlinear) algebraically
Higher
 including linear/quadratic
Revise:
Revision Videos:
Algebra – Simultaneous Equations Linear
Algebra – Simultaneous Equations Linear and NonLinear (Higher Only)
Algebra – Simultaneous Equations Linear (Example) (Higher Only)
Worksheet:
Simultaneous Equations (Linear): Question paper / Answers
Simultaneous Equations (NonLinear): Question paper / Answers (Higher Only)
Online Exam:
Simultaneous Equations (Linear): Take Exam
Simultaneous Equations (NonLinear): Take Exam (Higher Only)
A11 – Sequences and Nth term
Foundation
 generate terms of a sequence from either a termtoterm or a positiontoterm rule
 deduce expressions to calculate the $n$th term of linear sequences
 recognise and use sequences of triangular, square and cube numbers and simple arithmetic progressions
 including Fibonaccitype sequences, quadratic sequences, and simple geometric progressions $r_{n}$ where n is an integer and r is a rational number $>0$)
Higher
Revise:
Revision Videos:
Algebra – Sequences (Linear) (Video 1)
Algebra – Sequences (Linear) (Video 2)
Algebra – Sequences (Linear) (Video 3)
Algebra – Quadratic Sequences (Video 1) (Higher Only)
Algebra – Quadratic Sequences (Video 2) (Higher Only)
Worksheet:
Sequences and Nth term: Question paper / Answers
Quadratic Sequences: Question paper / Answers (Higher Only)
Online Exam:
Sequences and Nth Term: Take Exam
Quadratic Sequences: Take Exam (Higher Only)
A12 – Inequalities
Foundation
 solve linear inequalities in one variable
 represent the solution set on a number line
Higher
 solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable
 represent the solution set on a number line, using set notation and on a graph
Revise:
Revision Videos:
Algebra – Inequalities on a Number Line (Video 1)
Algebra – Inequalities on a Number Line (Video 2)
Algebra – Solving Inequalities (Video 1)
Algebra – Solving Inequalities (Video 2)
Algebra – Solving Inequalities (Video 3)
Algebra – Quadratic Inequalities (Video 1) (Higher Only)
Algebra – Quadratic Inequalities (Video 2) (Higher Only)
Algebra – Graphical Inequalities (Video 1) (Higher Only)
Algebra – Graphical Inequalities (Video 2) (Higher Only)
Algebra – Graphical Inequalities (Video 3) (Higher Only)
Worksheet:
Inequalities on a Number Line: Question paper / Answers
Solving Inequalities: Question paper / Answers
Quadratic Inequalities: Question paper / Answers (Higher Only)
Graphical Inequalities: Question paper / Answers (Higher Only)
Online Exam:
Inequalities on a Number Line: Take Exam
Solving Inequalities: Take Exam
Quadratic Inequalities: Take Exam (Higher Only)
Graphical Inequalities: Take Exam (Higher Only)
A13 – Iterative Methods
Higher
 find approximate solutions to equations numerically using iteration
Revise:
Revision Videos:
Algebra – Iterative Methods (Video 1) (Higher)
Algebra – Iterative Methods (Video 2) (Higher)
Worksheet: Question paper / Answers
Online Exam: Take Exam
A14 – Proofs
Foundation
 know the difference between an equation and an identity
 argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments
Higher
Revise:
Revision Videos:
Algebra – Proof (Foundation) (Video 1)
Algebra – Proof (Foundation) (Video 2)
Algebra – Proof (Foundation) (Video 3)
Algebra – Proof (Higher) (Video 1) (Higher)
Algebra – Proof (Higher) (Video 2) (Higher)
Worksheet:
Proof (Foundation): Question paper / Answers
Proof (Higher): Question paper / Answers (Higher Only)
Online Exam:
Proof (Foundation): Take Exam
Proof (Higher): Take Exam (Higher Only)
A15 – Functions
Foundation
 where appropriate, interpret simple expressions as functions with inputs and outputs
Higher
 interpret the reverse process as the ‘inverse function’
 interpret the succession of two functions as a ‘composite function’
Revise:
Revision Videos:
Algebra – Function Machines (Video 1)
Algebra – Function Machines (Video 2)
Algebra – Functions (Basics)
Algebra – Functions (composite and inverse) (Higher Only)
Algebra – Functions (composite and inverse) Examples (Higher Only)
Worksheet:
Function Machines: Question paper / Answers
Functions (Basics): Question paper / Answers
Functions (Harder): Question paper / Answers (Higher Only)
Online Exam:
Function Machines: Take Exam
Functions (Basics): Take Exam
Functions (Harder): Take Exam (Higher Only)
3. Graphs
G1 – Coordinates
Foundation
 work with coordinates in all four quadrants
Revise:
Revision Videos:
Graphs – Coordinates and Midpoints
Graphs – Coordinates and Ratios (Higher Only)
Worksheet:
Coordinates and Midpoints: Question paper / Answers
Coordinates and Ratios: Question paper / Answers (Higher Only)
Online Exam:
Coordinates and Midpoints: Take Exam
Coordinates and Ratios: Take Exam
G2 – Drawing Straight Line Graphs
Foundation
 plot graphs of equations that correspond to straightline graphs in the coordinate plane
Revise:
Revision Videos:
Graphs – Drawing Straight Line Graphs
Worksheet: Question paper / Answers
Online Exam: Take Exam
G3 – Parallel and Perpendicular Lines
Foundation
 use the form $y=mx+c$ to identify parallel lines find the equation of the line through two given points, or through one point with a given gradient
Higher
 use the form $y=mx+c$ to identify perpendicular lines
Revise:
Revision Videos:
Graphs – Parallel Lines
Graphs – Perpendicular Lines (Higher Only)
Worksheets:
Parallel Lines: Question paper / Answers
Perpendicular Lines: Question paper / Answers
Online Exams:
Parallel Lines: Take Exam
Perpendicular Lines: Take Exam
G4 – Gradients of Straight Line Graphs and y=mx+c
Foundation
 identify and interpret gradients and intercepts of linear functions graphically and algebraically
Revise:
Revision Videos:
Graphs – 1. Gradients of Straight Line Graphs (Part 1)
Graphs – 2. Gradients of Straight Line Graphs (Part 2)
Graphs – $y=mx+c$ (Part 1)
Graphs – $y=mx+c$ (Part 2)
Graphs – $y=mx+c$ (Part 3)
Worksheets:
Gradients of Straight Line Graphs: Question paper / Answers
$y=mx+c$: Question paper / Answers
Online Exam:
Gradients of Straight Line Graphs: Take Exam
$y=mx+c$: Take Exam
G5 – Plotting Quadratic and Harder Graphs
Foundation
 identify and interpret roots, intercepts and turning points of quadratic functions graphically
 deduce roots algebraically

recognize, sketch and interpret graphs of linear functions and quadratic functions

including simple cubic functions and the reciprocal function $y=x1 $ with $x =0$
Higher
 deduce turning points by completing the square

including exponential functions

$y=k_{x}$ for positive values of $k$, and the trigonometric functions (with arguments in degrees) $y=sinx$, $y=cosx$ and $y=tanx$ for angles of any size
Revise:
Revision Videos:
Graphs – Quadratic and Cubic Graphs
Graphs – Quadratic Example
Graphs – Cubic Example
Graphs – Exponential and Reciprocal Graphs (Higher Only)
Graphs – Turning Points of Quadratic Graphs Through Factorising (Higher Only)
Graphs – Turning Points of Quadratic Graphs Completing the square (Higher Only)
Graphs – Sin Cos and Tan Graphs (Higher Only)
Worksheets:
Quadratic and Cubic Graphs: Question paper / Answers
Turning Points of Quadratic Graphs: Question paper / Answers (Higher Only)
Sin, Cos and Tan Graphs: Question paper / Answers (Higher Only)
Online Exams:
Quadratic and Cubic Graphs: Take Exam
Exponential and Reciprocal Graphs: Take Exam (Higher Only)
Turning Points of Quadratic Graphs: Take Exam (Higher Only)
Sin, Cos and Tan Graphs: Take Exam (Higher Only)
G6 – Circle Graphs and Tangents
Higher
 recognise and use the equation of a circle with centre at the origin find the equation of a tangent to a circle at a given point
 interpret the gradient at a point on a curve as the instantaneous rate of change
 apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts
Revise:
Revision Videos:
Graphs – Circle Graphs and Tangents (Higher Only)
Worksheet:
Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
G7 – Graph Transformations (translations and reflections)
Higher
 sketch translations and reflections of a given function
Revise:
Revision Videos:
Graphs – Graph Transformations (Higher Only)
Graphs – Graph Transformations (Examples) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam(Higher Only)
G8 – Solving Simultaneous Equations with Graphs
Foundation
 plot and interpret graphs including solving two linear simultaneous equations with graphs to find approximate solutions using a graphs
Higher
 Include linear/quadratic and linear/circle graphs. ($x_{2}+y_{2}=r_{2}$)
Revise:
Revision Videos:
Graphs – Solving Simultaneous Equations with Graphs (Linear) (Higher Only)
Graphs – Solving Simultaneous Equations with Graphs (Nonlinear) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
G9 – DistanceTime Graphs
Foundation
 plot and interpret and find solutions to problems such as simple kinematic problems involving distance time graphs
Revise:
Revision Videos:
Graphs – Distance time Graphs
Graphs – Distance time Graphs (Examples)
Worksheet: Question paper / Answers
Online Exam: Take Exam
G10 – VelocityTime Graphs
Foundation
 plot and interpret and find solutions to problems such as simple kinematic problems involving velocity time graphs kinematic problems involving distance, speed and acceleration
Higher
 calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non linear graphs), and interpret results in cases such as distancetime graphs, velocitytime graphs and graphs in financial contexts
Revise:
Revision Videos:
Graphs – VelocityTime Graphs (Part 1) (Higher Only)
Graphs – VelocityTime Graphs (Part 2) (Higher Only)
Graphs – VelocityTime Graphs (Part 3) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
G11 Real Life Graphs
Foundation
 plot and interpret graphs, nonstandard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration
Revise:
Revision Videos:
Graphs – Real Life Graphs
Worksheet: Question paper / Answers
Online Exam: Take Exam
Ratio, proportion and change
R1 – Ratio problems
Foundation
 identify and work with fractions in ratio problems
 express one quantity as a fraction of another, where the fraction is less than $1$ or greater than $1$
 use ratio notation, including reduction to simplest form

divide a given quantity into two parts in a given part : part or part : whole ratio

express the division of a quantity into two parts as a ratio

apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)
 express a multiplicative relationship between two quantities as a ratio or a fraction
 understand and use proportion as equality of ratios
Revise:
Revision Videos:
Ratio and Proportion – Ratios (Foundation) (Video 1)
Ratio and Proportion – Ratios (Foundation) (Video 2)
Ratio and Proportion – Ratios (Foundation) (Video 3)
Ratio and Proportion – Ratios (Foundation) (Examples)
Worksheet: Question paper / Answers
Online Exam: Take Exam
R2 – Direct and Inverse Proportion
Foundation
 solve problems involving direct and inverse proportion, (without the need for algebra)
Higher
 understand that $X$ is inversely proportional to $Y$ is equivalent to $X$ is proportional to $Y1 $
 interpret equations that describe direct and inverse proportion
 construct and interpret equations that describe direct and inverse proportion
Revise:
Revision Videos:
Ratio and Proportion – Direct and Inverse Proportion (Foundation)
Ratio and Proportion – Direct and Inverse Proportion (Higher) (Higher Only)
Ratio and Proportion – Proportionality Graphs (Higher Only)
Ratio and Proportion – Direct and Inverse Proportion (Higher) (Examples) (Higher Only)
Worksheets:
Direct and Inverse Proportion: Question paper / Answers
Direct and Inverse Proportion ( Using Algebra): Question paper / Answers (Higher Only)
Online Exams:
Direct and Inverse Proportion: Take Exam
Direct and Inverse Proportion (Using Algebra): Take Exam (Higher Only)
R3 – Percentages
Foundation
 define percentage as ‘number of parts per hundred’
 interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively
 express one quantity as a percentage of another
 compare two quantities using percentages
 work with percentages greater than $100%$
 solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics
Revise:
Revision Videos:
Ratio and Proportion – Percentage of an Amount
Ratio and Proportion – Percentage increase decrease
Ratio and Proportion – Percentage Change
Ratio and Proportion – Reverse Percentages (Video 1)
Ratio and Proportion – Reverse Percentages (Example Questions)
Worksheet:
Percentage of Amount & Percentage Change: Question paper / Answers
Reverse Percentages: Question paper / Answers
Online Exam:
Percentage of Amount & Percentage Change: Take Exam
Reverse Percentages: Take Exam
R4 – Compound Growth and Decay
Foundation
 set up, solve and interpret the answers in growth and decay problems, including compound interest
Higher
 and work with general iterative processes (Finding $n$)
Revise:
Revision Videos:
Ratio and Proportion – Compound Growth and Decay (Video 1)
Ratio and Proportion – Compound Growth and Decay (Video 2)
Ratio and Proportion – Compound Growth and Decay (Video 3)
Ratio and Proportion – Compound Growth and Decay (Example Questions)
Worksheet: Question paper / Answers
Online Exam: Take Exam
R5 – Conversions
Foundation
 change freely between related standard units (eg time, length, area, volume/capacity, mass) and compound units in numerical contexts
Revise:
Revision Videos:
Ratio and Proportion – Unit Conversions (Video 1)
Ratio and Proportion – Unit Conversions (Video 2)
Ratio and Proportion – Unit Conversions (Video 3)
Ratio and Proportion – Unit Conversions (Video 4)
Worksheets:
Unit Conversions: Question paper / Answers
Conversions: Question paper / Answers
Online Exams:
Unit Conversions: Take Exam
Conversions: Take Exam
R6 – Best Buys
Foundation
 use compound unit pricing
Revise:
Revision Videos:
Ratio and Proportion – Best Buys
Worksheet: Question paper / Answers
Online Exam: Take Exam
R7 – Speed, density and pressure
Foundation
 change freely compound units of speed in context
Higher
 compound units (eg density, pressure) in numerical and algebraic contexts
Revise:
Revision Videos:
Ratio and Proportion – Density Mass Volume
Ratio and Proportion – Speed Distance Time
Ratio and Proportion – Pressure Force Area
Worksheets:
Density Mass Volume: Question paper / Answers
Speed Distance Time: Question paper / Answers
Pressure Force Area: Question paper / Answers
Online Exams:
Density Mass Volume: Take Exam
Speed Distance Time: Take Exam
Pressure Force Area: Take Exam
Geometry and measures
GM1 – Geometry Basics
Foundation
 use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries
 use the standard conventions for labelling and referring to the sides and angles of triangles
 draw diagrams from written description
Revise:
Revision Videos:
Geometry – Geometry Basics
Geometry – Geometry Basics (Example Questions)
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM2 – Corresponding Angles and Alternate Angles
Foundation
 apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
 understand and use alternate and corresponding angles on parallel lines
 Notes: colloquial terms such as Z angles are not acceptable and should not be used.
Revise:
Revision Videos:
Geometry – Corresponding Angles and Alternate Angles
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM3 – 2D shapes
Foundation
 derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus and triangles and other plane figures using appropriate language
 Notes: including knowing names and properties of isosceles, equilateral, scalene, rightangled, acute angled, obtuseangled triangles. Including knowing names and using the polygons: pentagon, hexagon, octagon and decagon.
Revise:
Revision Videos:
Geometry – 2D shapes
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM4 – Interior and Exterior Angles
Foundation
 derive and use the sum of angles in a triangle (eg to deduce and use the angle sum in any polygon, and to derive properties of regular polygons)
Revise:
Revision Videos:
Geometry – Interior and Exterior Angles
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM5 – Symmetry
Foundation
 use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries
Revise:
Revision Videos:
Geometry – Symmetry
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM6 – Areas of Shapes
Foundation
 know and apply formulae to calculate: area of triangles, parallelograms, trapezia;
 areas of circles and composite shapes
Higher
 know and apply $Area=21 absinC$ to calculate the area, sides or angles of any triangle
Revise:
Revision Videos:
Geometry – Areas of Shapes (Video 1)
Geometry – Areas of Shapes (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM7 – Circles Basics
Foundation
 know the formulae: circumference of a circle $=2πr=πd$
 area of a circle $=πr_{2}$
Revise:
Revision Videos:
Geometry – Circles (Basics) (Video 1)
Geometry – Circles (Basics) (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM8 – Perimeter
Foundation
 calculate perimeters of 2D shapes, including circles
 surface area and volume of spheres, pyramids, cones and composite solids
 Notes: including frustums.
Revise:
Revision Videos:
Geometry – Perimeter
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM9 – Circle Theorems
Higher
 apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
 including angle subtended by an arc at the centre is equal to twice the angle subtended at any point on the circumference, angle subtended at the circumference by a semicircle is 90°, angles in the same segment are equal, opposite angles in a cyclic quadrilateral sum to 180°, tangent at any point on a circle is perpendicular to the radius at that point, tangents from an external point are equal in length, the perpendicular from the centre to a chord bisects the chord, alternate segment theorem.
Revise:
Revision Videos:
Geometry – Circle Theorems (Video 1) (Higher Only)
Geometry – Circle Theorems (Video 2) (Higher Only)
Geometry – Circle Theorems (Example Questions) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
GM10 – Circles Sectors and Arcs
Foundation
 identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference
 including: tangent, arc, sector and segment
 calculate arc lengths, angles and areas of sectors of circles
Revise:
Revision Videos:
Geometry – Circles Sectors and Arcs (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
GM11 – Congruent Shapes
Foundation
 use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
Revise:
Revision Videos:
Geometry – Congruent Shapes (Simple) (Higher Only)
Geometry – Congruent Shapes (SSS, SAS, ASA, RHS) (Higher Only)
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM12 – Similar shapes
Foundation
 compare lengths, areas and volumes using ratio notation scale factors
 make links to similarity (including trigonometric ratios)
 apply the concepts of congruence and similarity, including the relationships between lengths in similar figures
Higher
 including the relationships between lengths, areas and volumes in similar figures
Revise:
Revision Videos:
Geometry – Similar Shapes (Foundation)
Geometry – Similar Shapes (Area and Volume) (Higher Only)
Worksheets:
Similar Shapes (Foundation): Question paper / Answers
Similar Shapes (Area and Volume): Question paper / Answers (Higher Only)
Online Exams:
Similar Shapes (Foundation): Take Exam
Similar Shapes (Area and Volume): Take Exam (Higher Only)
GM13 – Transformations
Foundation
 identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement
 including fractional scale factors
Higher
 including negative scale factors
 describe the changes and invariance achieved by combinations of rotations, reflections and translations
Notes: including using column vector notation for translations.
Revise:
Revision Videos:
Geometry – The Four Transformations (Video 1)
Geometry – The Four Transformations (Video 2)
Geometry – The Four Transformations (Example Questions)
Worksheets:
The Four Transformations: Question paper / Answers
Negative Enlargements: Question paper / Answers (Higher Only)
Online Exams:
The Four Transformations: Take Exam
Negative Enlargements: Take Exam (Higher Only)
GM14 – 3D Shapes, Faces, Edges and Vertices
Foundation
 identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres
Revise:
Revision Videos:
Geometry – 3D Shapes, Faces, Edges and Vertices
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM15 – Surface Area and Volumes of 3D shapes
Foundation
 Surface area and volume of spheres, pyramids, cones and composite solids
 volume of cuboids and other right prisms (including cylinders)
Higher
 Notes: including frustums.
Revise:
Revision Videos:
Geometry – Volume of 3D Shapes
Geometry – Surface Area of 3D shapes (Cone)
Geometry – Surface Area of 3D shapes (Cylinder and Sphere)
Geometry – Frustums (Higher Only)
Worksheet:
Volume of 3D Shapes: Question paper / Answers
Surface Area of 3D Shapes: Question paper / Answers
Frustums: Question paper / Answers (Higher Only)
Online Exam:
Volume of 3D Shapes: Take Exam
Surface Area of 3D Shapes: Take Exam
Frustums: Take Exam (Higher Only)
GM16 – Projections and Elevations
Foundation
 interpret plans and elevations of 3D shapes
 construct and interpret plans and elevations of 3D shapes
Revise:
Revision Videos:
Geometry – Projections and Elevations
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM17 – Loci and Construction
Foundation
 use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle)
 use these to construct given figures and solve loci problems know that the perpendicular distance from a point to a line is the shortest distance to the line
 Notes: including constructing an angle of 60°.
Revise:
Revision Videos:
Worksheet: Question paper / Answers
Online Exam: Take Exam
GM18 – Bearings
Foundation
 measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings
 Notes: including the eight compass point bearings and threefigure bearings.
Revise:
Revision Videos:
Geometry – Bearings (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
Pythagoras and Trigonometry
PT1 – Pythagoras
Foundation
 know the formulae for: Pythagoras’ theorem, $a_{2}+b_{2}=c_{2}$
Higher
 apply them to find angles and lengths in rightangled triangles and, where possible, general triangles in two and three dimensional figures
Revise:
Revision Videos:
Pythagoras and Trigonometry – Pythagoras
Worksheet: Question paper / Answers
Online Exam: Take Exam
PT2 – Trigonometry (SOHCAHTOA)
Foundation
 know the formulae for: trigonometric ratios
 $sinθ=hypotenuseopposite $
 $cosθ=hypotenuseadjacent $
 $tanθ=adjacentopposite $
 apply them to find angles and lengths in rightangled triangles in two dimensional figures
Higher
 apply them to find angles and lengths in rightangled triangles and, where possible, general triangles in two and three dimensional figures
Revise:
Revision Videos:
Pythagoras and Trigonometry – Trigonometry (SOHCAHTOA) (Higher Only)
Pythagoras and Trigonometry – 3D Pythagoras and Trig (Higher Only)
Worksheets:
Trigonometry: Question paper / Answers (Higher Only)
3D Pythagoras and Trig: Question paper / Answers (Higher Only)
Online Exams:
Trigonometry: Take Exam (Higher Only)
3D Pythagoras and Trig: Take Exam (Higher Only)
PT3 – Trigonometry common values
Foundation
 know the exact values of $sinθ$ and $cosθ$ for $θ=0°,30°,45°,60°$ and $90°$
 know the exact value of $tanθ$
 for $θ=0°,30°,45°,60°$
Revise:
Revision Videos:
Pythagoras and Trigonometry – Trigonometry common values (Higher Only)
Worksheet: Question paper / Answers
Online Exam: Take Exam
PT4 – Sine and Cosine Rule
Higher
 know and apply the sine rule,
 $sinAa =sinBb =sinCc $
 and cosine rule, $a_{2}=b_{2}+c_{2}−2bccosA$ to find unknown lengths and angles
Revise:
Revision Videos:
Pythagoras and Trigonometry – Sine Rule (Higher Only)
Pythagoras and Trigonometry – Cosine Rule (Higher Only)
Worksheets:
Sine Rule: Question paper / Answers (Higher Only)
Cosine Rule: Question paper / Answers (Higher Only)
Online Exams:
Sine Rule: Take Exam (Higher Only)
Cosine Rule: Take Exam (Higher Only)
Sine and Cosine Rule Mixed: Take Exam (Higher Only)
PT5 – Vectors
Foundation
 describe translations as 2D vectors
 apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors
Higher
 use vectors to construct geometric arguments and proofs
Revise:
Revision Videos:
Pythagoras and Trigonometry – Column Vectors
Pythagoras and Trigonometry – Vectors (Higher Only)
Pythagoras and Trigonometry – Vectors (Example) (Higher Only)
Worksheets:
Column Vectors: Question paper / Answers
Vectors: Question paper / Answers (Higher Only)
Online Exams:
Column Vectors: Take Exam
Vectors: Take Exam (Higher Only)
Probability
P1 – Simple Probability
Foundation
 apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments
 relate relative expected frequencies to theoretical probability, using appropriate language and the 0 to 1 probability scale

apply the property that the probabilities of an exhaustive set of outcomes sum to 1

apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to 1

understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size
Revise:
Worksheet: Question paper / Answers
Online Exam: Take Exam
P2 – Frequency Trees
Foundation
 record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees
 Notes: probabilities should be written as fractions, decimals or percentages.
Revise:
Revision Videos:
Probability – Frequency Trees
Worksheet: Question paper / Answers
Online Exam: Take Exam
P3 – Tree Diagrams
Foundation
 calculate the probability of independent and dependent combined events, including using tree diagrams and other representations,
Higher
 calculate and interpret conditional probabilities through representation using expected frequencies with twoway tables, tree diagrams and Venn diagrams
Revise:
Revision Videos:
Probability – Tree Diagrams (Foundation) (Video 1)
Probability – Tree Diagrams (Foundation) (Video 2)
Probability – Tree Diagrams (Higher) (Video 1) (Higher Only)
Probability – Tree Diagrams (Higher) (Video 2) (Higher Only)
Probability – Relative Frequency (Video 1)
Probability – Relative Frequency (Video 2)
Worksheets:
Tree Diagrams: Question paper / Answers
Relative Frequency: Question paper / Answers
Online Exams:
Tree Diagrams (Foundation): Take Exam
Tree Diagrams (Higher): Take Exam (Higher Only)
Relative Frequency: Take Exam
P4 – Sets and Venn Diagrams
Foundation
 enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams
 Use Basic Set Notation
Higher
 calculate and interpret conditional probabilities through representation using expected frequencies with twoway tables, tree diagrams and Venn diagrams
Revise:
Revision Videos:
Probability – Sets and Venn Diagrams (Foundation)
Worksheets:
Venn Diagrams: Question paper / Answers
Online Exams:
Venn Diagrams: Take Exam
Venn Diagrams (Higher): Take Exam (Higher Only)
Statistics
S1 – Types of Data
Foundation
 infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
Revise:
Revision Videos:
Statistics – Types of Data (Video 1)
Statistics – Types of Data (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
S2 – Mean, Median, Mode and Range
Foundation
interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
 appropriate graphical representation involving discrete, continuous and grouped data
 appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers)
Revise:
Revision Videos:
Statistics – Mean, Median, Mode and Range (Video 1)
Statistics – Mean, Median, Mode and Range (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
S3 – Pictograms
Foundation
 interpret and construct pictograms for categorical data, and know their appropriate use
Revise:
Revision Videos:
Statistics – Pictograms
Worksheet: Question paper / Answers
Online Exam: Take Exam
S4 – Stem and Leaf
Foundation
interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
 appropriate graphical representation involving discrete, continuous and grouped data
 appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers)
Revise:
Revision Videos:
Statistics – Stem and Leaf Diagrams
Worksheet: Question paper / Answers
Online Exam: Take Exam
S5 – Frequency Tables
Foundation
 interpret and construct tables for categorical data, and know their appropriate use
interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
 appropriate graphical representation involving discrete, continuous and grouped data
 appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers)
Revise:
Revision Videos:
Statistics – Frequency Tables
Statistics – Grouped Frequency Tables
Statistics – Estimating the Mean
Worksheets:
Frequency Tables: Question paper / Answers
Grouped Frequency Tables: Question paper / Answers
Estimating the Mean: Question paper / Answers
Online Exams:
Frequency Tables: Take Exam
Grouped Frequency Tables: Take Exam
Estimating the Mean: Take Exam
S6 – Box Plots and Cumulative Frequency
Higher
interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
 appropriate graphical representation involving discrete, continuous and grouped data
 appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers)
 including box plots and Cumulative Frequency
 including quartiles and interquartile range
Revise:
Revision Videos:
Statistics – Box Plots (Video 1) (Higher Only)
Statistics – Box Plots (Video 2) (Higher Only)
Worksheet:
Box Plots: Question paper / Answers (Higher Only)
Cumulative Frequency: Question paper / Answers (Higher Only)
Online Exam:
Box Plots: Take Exam (Higher Only)
Cumulative Frequency: Take Exam (Higher Only)
S7 – Histograms
Higher
 construct and interpret diagrams for grouped discrete data and continuous data, ie histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use
Revise:
Revision Videos:
Statistics – Histograms (Video 1) (Higher Only)
Statistics – Histograms (Video 2) (Higher Only)
Worksheet: Question paper / Answers (Higher Only)
Online Exam: Take Exam (Higher Only)
S8 – Bar Charts
Foundation
 interpret and construct bar charts, for categorical data, and know their appropriate use
Revise:
Revision Videos:
Statistics – Bar Charts
Worksheet: Question paper / Answers
Online Exam: Take Exam
S9 – Scatter Graphs
Foundation
 use and interpret scatter graphs of bivariate data
 recognise correlation
 know that it does not indicate causation
 draw estimated lines of best fit make predictions
 interpolate and extrapolate apparent trends whilst knowing the dangers of so doing
Revise:
Revision Videos:
Statistics – Scatter Graphs (Video 1)
Statistics – Scatter Graphs (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam
S10 – Line Graphs
Foundation
 interpret and construct vertical line charts for ungrouped discrete numerical data, and know their appropriate use
 including line graphs for time series data
Revise:
Revision Videos:
Statistics – Line Graphs
Worksheet: Question paper / Answers
Online Exam: Take Exam
S11 – Pie charts
Foundation
 interpret and construct pie charts categorical data and know their appropriate use
Revise:
Revision Videos:
Statistics – Pie charts (Video 1)
Statistics – Pie charts (Video 2)
Worksheet: Question paper / Answers
Online Exam: Take Exam