| F1.1A | Understand and use integers (positive, negative and zero) | MA01-01 Ordering positive and negative numbers using inequality symbols Watch |
| F1.1B | Understand place value | MA01-02 Place value and decimal notation Watch |
| F1.1C | Use directed numbers in practical situations | MA01-03 Adding, subtracting, multiplying and dividing positive and negative integers Watch |
| F1.1D | Order integers | MA01-01 Ordering positive and negative numbers using inequality symbols Watch |
| F1.1E | Use the four rules of addition, subtraction, multiplication and division | MA01-03 Adding, subtracting, multiplying and dividing positive and negative integers WatchMA01-04 Adding, subtracting, multiplying and dividing decimals WatchMA04-04 Adding and subtracting fractions and mixed numbers WatchMA04-05 Multiplying and dividing fractions and mixed numbers Watch |
| F1.1F | Use brackets and the hierarchy of operations | MA01-05 Order of operations: brackets, powers, roots and BIDMAS Watch |
| F1.1G | Use the terms 'odd', 'even', 'prime numbers', 'factors' and 'multiples' | MA02-01 Types of number and prime factorisation Watch |
| F1.1H | Identify prime factors, common factors and common multiples | MA02-02 Highest common factor (HCF) WatchMA02-03 Lowest common multiple (LCM) Watch |
| F1.2A | Understand and use equivalent fractions, simplifying a fraction by cancelling common factors | MA04-01 Equivalent fractions and simplifying by cancelling Watch |
| F1.2B | Understand and use mixed numbers and vulgar fractions | MA04-02 Mixed numbers and improper (vulgar) fractions Watch |
| F1.2C | Identify common denominators | MA04-03 Finding a common denominator Watch |
| F1.2D | Order fractions and calculate a given fraction of a given quantity | MA01-01 Ordering positive and negative numbers using inequality symbols WatchMA04-06 Fraction of a quantity; expressing a number as a fraction of another Watch |
| F1.2E | Express a given number as a fraction of another number | MA04-06 Fraction of a quantity; expressing a number as a fraction of another Watch |
| F1.2F | Use common denominators to add and subtract fractions and mixed numbers | MA04-04 Adding and subtracting fractions and mixed numbers Watch |
| F1.2G | Convert a fraction to a decimal or a percentage | MA04-07 Converting between fractions, decimals and percentages Watch |
| F1.2H | Understand and use unit fractions as multiplicative inverses | MA04-05 Multiplying and dividing fractions and mixed numbers Watch |
| F1.2I | Multiply and divide fractions and mixed numbers | MA04-05 Multiplying and dividing fractions and mixed numbers Watch |
| F1.3A | Use decimal notation | MA01-02 Place value and decimal notation Watch |
| F1.3B | Understand place value | MA01-02 Place value and decimal notation Watch |
| F1.3C | Order decimals | MA01-01 Ordering positive and negative numbers using inequality symbols Watch |
| F1.3D | Convert a decimal to a fraction or a percentage | MA04-07 Converting between fractions, decimals and percentages Watch |
| F1.3E | Recognise that a terminating decimal is a fraction | MA04-07 Converting between fractions, decimals and percentages Watch |
| F1.4A | Identify square numbers and cube numbers | MA03-01 Square numbers, cube numbers and calculating them Watch |
| F1.4B | Calculate squares, square roots, cubes and cube roots | MA03-01 Square numbers, cube numbers and calculating them WatchMA03-02 Square roots, cube roots and higher roots Watch |
| F1.4C | Use index notation and index laws for multiplication and division of positive and negative integer powers including zero | MA03-03 Index laws: multiplying and dividing powers WatchMA03-04 Power of a power, and zero and negative indices Watch |
| F1.4D | Express integers as a product of powers of prime factors | MA02-01 Types of number and prime factorisation Watch |
| F1.4E | Find highest common factors (HCF) and lowest common multiples (LCM) | MA02-02 Highest common factor (HCF) WatchMA02-03 Lowest common multiple (LCM) Watch |
| F1.5A | Understand the definition of a set | MA06-01 Sets: definitions and notation (union, intersection, element of) Watch |
| F1.5B | Use the set notation ∪, ∩ and ∈ | MA06-01 Sets: definitions and notation (union, intersection, element of) Watch |
| F1.5C | Understand the concept of the universal set and the empty set and the symbols for these sets | MA06-02 Venn diagrams: universal set, empty set and complement Watch |
| F1.5D | Understand and use the complement of a set | MA06-02 Venn diagrams: universal set, empty set and complement Watch |
| F1.5E | Use Venn diagrams to represent sets | MA06-02 Venn diagrams: universal set, empty set and complement WatchMA35-04 Reading Venn diagrams and n(...) notation Coming soon |
| F1.6A | Understand that 'percentage' means 'number of parts per 100' | MA19-02 Find a percentage of a quantity Coming soon |
| F1.6B | Express a given number as a percentage of another number | MA19-02 Find a percentage of a quantity Coming soon |
| F1.6C | Express a percentage as a fraction and as a decimal | MA04-07 Converting between fractions, decimals and percentages Watch |
| F1.6D | Understand the multiplicative nature of percentages as operators | MA19-02 Find a percentage of a quantity Coming soon |
| F1.6E | Solve simple percentage problems, including percentage increase and decrease | MA19-03 Calculate a percentage increase or decrease Coming soonMA19-04 Calculate a percentage change between two values Coming soon |
| F1.6F | Use reverse percentages | MA19-05 Reverse percentages: find the original value Coming soon |
| F1.6G | Use compound interest and depreciation | MA19-07 Growth and decay using repeated percentage multipliers Coming soon |
| F1.7A | Use ratio notation, including reduction to its simplest form and its various links to fraction notation | MA20-01 Ratio notation, simplifying and unitary form Coming soon |
| F1.7B | Divide a quantity in a given ratio or ratios | MA20-02 Share an amount in a given ratio Coming soonMA20-03 Share in a ratio when only a difference or one part is known Coming soon |
| F1.7C | Use the process of proportionality to evaluate unknown quantities | MA21-01 Solve direct proportion problems Coming soon |
| F1.7D | Calculate an unknown quantity from quantities that vary in direct proportion | MA21-01 Solve direct proportion problems Coming soon |
| F1.7E | Solve word problems about ratio and proportion | MA21-01 Solve direct proportion problems Coming soonMA24-09 Scale drawings and maps Coming soon |
| F1.8A | Round integers to a given power of 10 | MA07-01 Rounding to significant figures and decimal places Coming soon |
| F1.8B | Round to a given number of significant figures or decimal places | MA07-01 Rounding to significant figures and decimal places Coming soon |
| F1.8C | Identify upper and lower bounds where values are given to a degree of accuracy | MA07-03 Upper and lower bounds of a rounded value Coming soon |
| F1.8D | Use estimation to evaluate approximations to numerical calculations | MA07-02 Estimating a calculation by rounding Coming soon |
| F1.9A | Calculate with and interpret numbers in the form a × 10ⁿ where n is an integer and 1 ⩽ a < 10 | MA03-06 Converting to and from standard form WatchMA03-07 Calculating with numbers in standard form Watch |
| F1.10A | Use and apply number in everyday personal, domestic or community life | MA08-01 Using a calculator efficiently Coming soon |
| F1.10B | Carry out calculations using standard units of mass, length, area, volume and capacity | MA22-01 Convert between standard and compound units Coming soon |
| F1.10C | Understand and carry out calculations using time, and carry out calculations using money, including converting between currencies | MA08-02 Calculating with time Coming soonMA08-03 Calculating with money and converting currencies Coming soon |
| F1.11A | Use a scientific electronic calculator to determine numerical results | MA08-01 Using a calculator efficiently Coming soon |
| F2.1A | Understand that symbols may be used to represent numbers in equations or variables in expressions and formulae | MA09-01 What Algebraic Notation Means Coming soon |
| F2.1B | Understand that algebraic expressions follow the generalised rules of arithmetic | MA09-01 What Algebraic Notation Means Coming soon |
| F2.1C | Use index notation for positive and negative integer powers (including zero) | MA09-06 Index Notation: Negative, Zero and Fractional Powers Coming soon |
| F2.1D | Use index laws in simple cases | MA09-05 Laws of Indices for Algebraic Terms Coming soon |
| F2.2A | Evaluate expressions by substituting numerical values for letters | MA09-03 Substituting Values into Expressions and Formulae Coming soon |
| F2.2B | Collect like terms | MA09-04 Collecting Like Terms Coming soon |
| F2.2C | Multiply a single term over a bracket | MA10-01 Expanding a Single Bracket Coming soon |
| F2.2D | Take out common factors | MA10-04 Factorising by Taking Out a Common Factor Coming soon |
| F2.2E | Expand the product of two simple linear expressions | MA10-02 Expanding Double Brackets Coming soon |
| F2.2F | Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x² + bx + c) | MA10-05 Factorising a Quadratic x^2+bx+c, Including Difference of Two Squares Coming soon |
| F2.3A | Understand that a letter may represent an unknown number or a variable | MA09-01 What Algebraic Notation Means Coming soon |
| F2.3B | Use correct notational conventions for algebraic expressions and formulae | MA09-01 What Algebraic Notation Means Coming soon |
| F2.3C | Substitute positive and negative integers, decimals and fractions for words and letters in expressions and formulae | MA09-03 Substituting Values into Expressions and Formulae Coming soon |
| F2.3D | Use formulae from mathematics and other real-life contexts expressed initially in words or diagrammatic form and convert to letters and symbols | MA11-03 Using and Rearranging a Formula (Subject Appears Once) Watch |
| F2.3E | Derive a formula or expression | MA11-05 Writing an Expression or Formula from a Context Watch |
| F2.3F | Change the subject of a formula where the subject appears once | MA11-03 Using and Rearranging a Formula (Subject Appears Once) Watch |
| F2.4A | Solve linear equations, with integer or fractional coefficients, in one unknown in which the unknown appears on either side or both sides of the equation | MA11-01 Solving Linear Equations by Balancing WatchMA11-02 Solving Linear Equations with Brackets Watch |
| F2.4B | Set up simple linear equations from given data | MA11-06 Setting Up and Solving an Equation from a Context Watch |
| F2.6A | Calculate the exact solution of two simultaneous equations in two unknowns | MA12-04 Solving Simultaneous Linear Equations by Elimination Watch |
| F2.7A | Solve quadratic equations by factorisation (limited to x² + bx + c = 0) | MA12-01 Solving x^2+bx+c=0 by Factorising Watch |
| F2.8A | Understand and use the symbols >, <, ⩾ and ⩽ | MA18-01 Inequality Symbols and Number-Line Conventions Coming soon |
| F2.8B | Understand and use the convention for open and closed intervals on a number line | MA18-01 Inequality Symbols and Number-Line Conventions Coming soon |
| F2.8C | Solve simple linear inequalities in one variable and represent the solution set on a number line | MA18-02 Solving a Linear Inequality Coming soon |
| F2.8D | Represent simple linear inequalities on rectangular Cartesian graphs | MA18-04 Regions Satisfying Linear Inequalities in Two Variables Coming soon |
| F2.8E | Identify regions on rectangular Cartesian graphs defined by simple linear inequalities | MA18-04 Regions Satisfying Linear Inequalities in Two Variables Coming soon |
| F3.1A | Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence | MA13-01 Generating Terms of a Sequence Coming soon |
| F3.1B | Find subsequent terms of an integer sequence and the rule for generating it | MA13-01 Generating Terms of a Sequence Coming soon |
| F3.1C | Use linear expressions to describe the nth term of arithmetic sequences | MA13-04 Finding the nth Term of a Linear Sequence Watch |
| F3.3A | Interpret information presented in a range of linear and non-linear graphs | MA17-01 Plotting and Interpreting Real-World Graphs Coming soon |
| F3.3B | Understand and use conventions for rectangular Cartesian coordinates | MA15-01 Coordinates in Four Quadrants Watch |
| F3.3C | Plot points (x, y) in any of the four quadrants or locate points with given coordinates | MA15-01 Coordinates in Four Quadrants Watch |
| F3.3D | Determine the coordinates of points identified by geometrical information | MA15-02 Coordinates from Geometric Information and Midpoints Coming soon |
| F3.3E | Determine the coordinates of the midpoint of a line segment, given the coordinates of the two end points | MA15-02 Coordinates from Geometric Information and Midpoints Coming soon |
| F3.3F | Draw and interpret straight line conversion graphs | MA15-03 Plotting Straight-Line Graphs Coming soon |
| F3.3G | Find the gradient of a straight line | MA15-04 Finding the Gradient of a Straight Line Coming soon |
| F3.3H | Recognise that equations of the form y = mx + c are straight line graphs with gradient m and intercept on the y-axis at the point (0, c) | MA15-05 Gradient and Y-Intercept via y=mx+c Coming soon |
| F3.3I | Recognise, generate points and plot graphs of linear and quadratic functions | MA15-03 Plotting Straight-Line Graphs Coming soonMA16-01 Recognising Linear and Quadratic Graphs Coming soonMA16-02 Roots, Y-Intercept and Turning Point of a Quadratic Graph Coming soon |
| F4.1A | Distinguish between acute, obtuse, reflex and right angles | MA25-01 Geometry notation and types of angle Coming soon |
| F4.1B | Use angle properties of intersecting lines, parallel lines and angles on a straight line | MA25-02 Angles at a point, on a line and vertically opposite angles Coming soonMA25-03 Angles on parallel lines Coming soon |
| F4.1C | Understand the exterior angle of a triangle property and the angle sum of a triangle property | MA25-05 Angle sum of a triangle and the exterior angle rule Coming soon |
| F4.1D | Understand the terms 'isosceles', 'equilateral' and 'right-angled triangles' and the angle properties of these triangles | MA26-02 Properties of special quadrilaterals and triangles Coming soon |
| F4.2A | Recognise and give the names of polygons | MA26-01 Naming triangles, quadrilaterals and polygons Coming soon |
| F4.2B | Understand and use the term 'quadrilateral' and the angle sum property of quadrilaterals | MA25-06 Interior angles of polygons Coming soonMA25-07 Exterior angles and regular polygons Coming soon |
| F4.2C | Understand and use the properties of the parallelogram, rectangle, square, rhombus, trapezium and kite | MA26-02 Properties of special quadrilaterals and triangles Coming soon |
| F4.2D | Understand the term 'regular polygon' and calculate interior and exterior angles of regular polygons | MA25-06 Interior angles of polygons Coming soonMA25-07 Exterior angles and regular polygons Coming soon |
| F4.2E | Understand and use the angle sum of polygons | MA25-06 Interior angles of polygons Coming soonMA25-07 Exterior angles and regular polygons Coming soon |
| F4.2F | Understand congruence as meaning the same shape and size | MA26-04 Congruent and similar shapes: finding unknown lengths Coming soon |
| F4.2G | Understand that two or more polygons with the same shape and size are said to be congruent to each other | MA26-04 Congruent and similar shapes: finding unknown lengths Coming soon |
| F4.3A | Identify any lines of symmetry and the order of rotational symmetry of a given two-dimensional figure | MA26-10 Line and rotational symmetry of 2D shapes Coming soon |
| F4.4A | Interpret scales on a range of measuring instruments | MA24-10 Reading measuring instrument scales and estimating everyday measures Coming soon |
| F4.4B | Calculate time intervals in terms of the 24-hour and the 12-hour clock | MA08-02 Calculating with time Coming soon |
| F4.4C | Make sensible estimates of a range of measures | MA24-10 Reading measuring instrument scales and estimating everyday measures Coming soon |
| F4.4D | Understand angle measure including three-figure bearings | MA24-08 Three-figure bearings Coming soon |
| F4.4E | Measure an angle to the nearest degree | MA24-07 Constructing triangles and shapes with a ruler, protractor and compasses Coming soon |
| F4.4F | Understand and use the relationship between average speed, distance and time | MA22-05 Speed, distance and time Coming soon |
| F4.4G | Use compound measure such as speed, density and pressure | MA22-03 Density: mass, volume and the direction of division Coming soonMA22-04 Pressure: force, area and recognising when to use it Coming soon |
| F4.5A | Measure and draw lines to the nearest millimetre | MA24-07 Constructing triangles and shapes with a ruler, protractor and compasses Coming soon |
| F4.5B | Construct triangles and other two-dimensional shapes using a combination of a ruler, a protractor and compasses | MA24-07 Constructing triangles and shapes with a ruler, protractor and compasses Coming soon |
| F4.5C | Solve problems using scale drawings | MA24-09 Scale drawings and maps Coming soon |
| F4.5D | Use straight edge and compasses to: (i) construct the perpendicular bisector of a line segment (ii) construct the bisector of an angle | MA24-01 Constructing the perpendicular bisector of a line segment WatchMA24-02 Constructing the bisector of an angle Coming soon |
| F4.6A | Recognise the terms 'centre', 'radius', 'chord', 'diameter', 'circumference', 'tangent', 'arc', 'sector' and 'segment' of a circle | MA27-01 Circle vocabulary Coming soon |
| F4.6B | Understand chord and tangent properties of circles | MA27-06 Circle theorem: tangent and radius Coming soonMA27-08 Circle theorem: tangents from an external point Coming soonMA27-09 Circle theorems: chords and the centre Coming soon |
| F4.7A | Give informal reasons, where required, when arriving at numerical solutions to geometrical problems | MA27-11 Giving informal reasons for geometry results Coming soon |
| F4.8A | Know, understand and use Pythagoras' theorem in two dimensions | MA30-01 Pythagoras' theorem in two dimensions Coming soon |
| F4.8B | Know, understand and use sine, cosine and tangent of acute angles to determine lengths and angles of a right-angled triangle | MA30-02 Trigonometric ratios: labelling sides and choosing sin, cos or tan Coming soonMA30-03 Using trigonometry to find missing sides and angles Coming soon |
| F4.8C | Apply trigonometrical methods to solve problems in two dimensions | MA30-02 Trigonometric ratios: labelling sides and choosing sin, cos or tan Coming soonMA30-03 Using trigonometry to find missing sides and angles Coming soon |
| F4.9A | Convert measurements within the metric system to include linear and area units | MA22-01 Convert between standard and compound units Coming soon |
| F4.9B | Find the perimeter of shapes made from triangles and rectangles | MA23-01 Perimeter of 2D and composite shapes Watch |
| F4.9C | Find the area of simple shapes using the formulae for the areas of triangles and rectangles | MA23-02 Area of triangles, parallelograms and trapezia Watch |
| F4.9D | Find the area of parallelograms and trapezia | MA23-02 Area of triangles, parallelograms and trapezia Watch |
| F4.9E | Find circumferences and areas of circles using relevant formulae; find perimeters and areas of semicircles | MA23-03 Circle circumference and area Watch |
| F4.10A | Recognise and give the names of solids | MA29-01 Naming 3D solids and their properties Coming soon |
| F4.10B | Understand the terms 'face', 'edge' and 'vertex' in the context of 3D solids | MA29-01 Naming 3D solids and their properties Coming soon |
| F4.10C | Find the surface area of simple shapes using the area formulae for triangles and rectangles | MA29-04 Surface area of prisms and cylinders Coming soon |
| F4.10D | Find the surface area of a cylinder | MA29-04 Surface area of prisms and cylinders Coming soon |
| F4.10E | Find the volume of prisms, including cuboids and cylinders, using an appropriate formula | MA29-05 Volume of prisms, cuboids and cylinders Coming soon |
| F4.10F | Convert between units of volume within the metric system | MA22-01 Convert between standard and compound units Coming soon |
| F4.11A | Understand and use the geometrical properties that similar figures have corresponding lengths in the same ratio but corresponding angles remain unchanged | MA26-04 Congruent and similar shapes: finding unknown lengths Coming soon |
| F4.11B | Use and interpret maps and scale drawings | MA24-09 Scale drawings and maps Coming soon |
| F5.2A | Understand that rotations are specified by a centre and an angle | MA28-03 Rotating a shape and describing a rotation Coming soon |
| F5.2B | Rotate a shape about a point through a given angle | MA28-03 Rotating a shape and describing a rotation Coming soon |
| F5.2C | Recognise that an anti-clockwise rotation is a positive angle of rotation and a clockwise rotation is a negative angle of rotation | MA28-03 Rotating a shape and describing a rotation Coming soon |
| F5.2D | Understand that reflections are specified by a mirror line | MA28-01 Reflecting a shape in a mirror line Coming soonMA28-02 Finding the mirror line from a shape and its image Coming soon |
| F5.2E | Construct a mirror line given an object and reflect a shape given a mirror line | MA28-01 Reflecting a shape in a mirror line Coming soonMA28-02 Finding the mirror line from a shape and its image Coming soon |
| F5.2F | Understand that translations are specified by a distance and direction | MA28-04 Translating a shape using a column vector Coming soon |
| F5.2G | Translate a shape | MA28-04 Translating a shape using a column vector Coming soon |
| F5.2H | Understand and use column vectors in translations | MA28-04 Translating a shape using a column vector Coming soon |
| F5.2I | Understand that rotations, reflections and translations preserve length and angle so that a transformed shape under any of these transformations remains congruent to the original shape | MA28-07 Describing combined transformations and invariance (Higher) Coming soon |
| F5.2J | Understand that enlargements are specified by a centre and a scale factor | MA28-05 Enlarging a shape by a positive or fractional scale factor Coming soon |
| F5.2K | Understand that enlargements preserve angles and not lengths | MA28-05 Enlarging a shape by a positive or fractional scale factor Coming soon |
| F5.2L | Enlarge a shape given the scale factor | MA28-05 Enlarging a shape by a positive or fractional scale factor Coming soon |
| F5.2M | Identify and give complete descriptions of transformations | MA28-08 Identifying and fully describing a transformation Coming soon |
| F6.1A | Use different methods of presenting data | MA31-02 Tally charts and two-way tables Coming soonMA31-04 Bar charts, pictograms and vertical line charts Coming soonMA31-05 Pie charts: calculating angles and constructing Coming soon |
| F6.1B | Use appropriate methods of tabulation to enable the construction of statistical diagrams | MA31-02 Tally charts and two-way tables Coming soon |
| F6.1C | Interpret statistical diagrams | MA31-04 Bar charts, pictograms and vertical line charts Coming soonMA31-05 Pie charts: calculating angles and constructing Coming soon |
| F6.2A | Understand the concept of average | MA32-01 Mean, median, mode and range Watch |
| F6.2B | Calculate the mean, median, mode and range for a discrete data set | MA32-01 Mean, median, mode and range Watch |
| F6.2C | Calculate an estimate for the mean for grouped data | MA32-03 Estimating the mean from grouped data Coming soon |
| F6.2D | Identify the modal class for grouped data | MA32-02 Finding the modal class Coming soon |
| F6.3A | Understand the language of probability | MA34-01 Probability scale, vocabulary and simple probability Coming soon |
| F6.3B | Understand and use the probability scale | MA34-01 Probability scale, vocabulary and simple probability Coming soon |
| F6.3C | Understand and use estimates or measures of probability from theoretical models | MA34-01 Probability scale, vocabulary and simple probability Coming soon |
| F6.3D | Find probabilities from a Venn diagram | MA06-02 Venn diagrams: universal set, empty set and complement WatchMA35-04 Reading Venn diagrams and n(...) notation Coming soon |
| F6.3E | Understand the concepts of a sample space and an event, and how the probability of an event happening can be determined from the sample space | MA35-03 Constructing sample space diagrams Coming soon |
| F6.3F | List all the outcomes for single events and for two successive events in a systematic way | MA35-03 Constructing sample space diagrams Coming soon |
| F6.3G | Estimate probabilities from previously collected data | MA34-03 Relative frequency as an estimate of probability Coming soon |
| F6.3H | Calculate the probability of the complement of an event happening | MA35-01 The complement rule: P(not A) = 1 - P(A) Coming soon |
| F6.3I | Use the addition rule of probability for mutually exclusive events | MA35-02 Mutually exclusive events: the addition rule Coming soon |
| F6.3J | Understand and use the term 'expected frequency' | MA34-05 Expected frequency: probability times number of trials Coming soon |
| H1.3A | Convert recurring decimals into fractions | MA04-08 Converting recurring decimals into fractions (Higher) Watch |
| H1.4A | Understand the meaning of surds | MA05-03 Simplifying surds (Higher) WatchMA05-04 Rationalising the denominator (Higher) Watch |
| H1.4B | Manipulate surds, including rationalising a denominator | MA05-03 Simplifying surds (Higher) WatchMA05-04 Rationalising the denominator (Higher) Watch |
| H1.4C | Use index laws to simplify and evaluate numerical expressions involving integer, fractional and negative powers | MA03-05 Fractional indices (Higher) Watch |
| H1.5A | Understand sets defined in algebraic terms, and understand and use subsets | MA06-03 Algebraic set definitions and subsets (Higher) Watch |
| H1.5B | Use Venn diagrams to represent sets and the number of elements in sets | MA06-04 Three-set Venn diagrams, element counts and n(A) notation (Higher) Watch |
| H1.5C | Use the notation n(A) for the number of elements in the set A | MA06-04 Three-set Venn diagrams, element counts and n(A) notation (Higher) Watch |
| H1.5D | Use sets in practical situations | MA06-04 Three-set Venn diagrams, element counts and n(A) notation (Higher) Watch |
| H1.6A | Use repeated percentage change | MA19-07 Growth and decay using repeated percentage multipliers Coming soon |
| H1.6B | Solve compound interest problems | MA19-07 Growth and decay using repeated percentage multipliers Coming soon |
| H1.8A | Solve problems using upper and lower bounds where values are given to a degree of accuracy | MA07-04 Bounds of a calculated result (Higher) Coming soon |
| H1.9A | Solve problems involving standard form | MA03-08 Solving problems in standard form (Higher) Watch |
| H2.1A | Use index notation involving fractional, negative and zero powers | MA09-06 Index Notation: Negative, Zero and Fractional Powers Coming soon |
| H2.2A | Expand the product of two or more linear expressions | MA10-03 Expanding Three or More Brackets Coming soon |
| H2.2B | Understand the concept of a quadratic expression and be able to factorise such expressions | MA10-06 Factorising a General Quadratic ax^2+bx+c Coming soon |
| H2.2C | Manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic | MA10-08 Simplifying and Manipulating Algebraic Fractions Coming soon |
| H2.2D | Complete the square for a given quadratic expression | MA10-07 Completing the Square Coming soon |
| H2.2E | Use algebra to support and construct proofs | MA10-10 Constructing Algebraic Proofs Coming soon |
| H2.3A | Understand the process of manipulating formulae or equations to change the subject, to include cases where the subject may appear twice or a power of the subject occurs | MA11-04 Rearranging Harder Formulae (Subject Appears Twice, or Under a Power/Root) Watch |
| H2.5A | Set up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations | MA16-10 Graphs of Direct and Inverse Proportion Coming soonMA21-01 Solve direct proportion problems Coming soonMA21-03 Solve inverse proportion problems Coming soonMA21-04 Construct direct and inverse proportion equations, including powers and roots Coming soonMA21-05 Inverse proportion to a power or root Coming soonMA21-06 Gradient of a straight line as a rate of change Coming soon |
| H2.6A | Calculate the exact solution of two simultaneous equations in two unknowns | MA12-04 Solving Simultaneous Linear Equations by Elimination Watch |
| H2.6B | Interpret the equations as lines and the common solution as the point of intersection | MA12-06 Graph Intersections as Simultaneous Solutions Watch |
| H2.7A | Solve quadratic equations by factorisation | MA12-02 Rearranging and Factorising a General Quadratic Equation WatchMA12-03 Solving a Quadratic with the Quadratic Formula Watch |
| H2.7B | Solve quadratic equations by using the quadratic formula or completing the square | MA12-02 Rearranging and Factorising a General Quadratic Equation WatchMA12-03 Solving a Quadratic with the Quadratic Formula Watch |
| H2.7C | Form and solve quadratic equations from data given in a context | MA12-02 Rearranging and Factorising a General Quadratic Equation WatchMA12-03 Solving a Quadratic with the Quadratic Formula Watch |
| H2.7D | Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic | MA12-05 Simultaneous Equations: One Linear, One Quadratic Watch |
| H2.8A | Solve quadratic inequalities in one unknown and represent the solution set on a number line | MA18-03 Solving a Quadratic Inequality Coming soon |
| H2.8B | Identify harder examples of regions defined by linear inequalities | MA18-04 Regions Satisfying Linear Inequalities in Two Variables Coming soon |
| H3.1A | Understand and use common difference (d) and first term (a) in an arithmetic sequence | MA13-04 Finding the nth Term of a Linear Sequence Watch |
| H3.1B | Know and use nth term = a + (n - 1)d | MA13-04 Finding the nth Term of a Linear Sequence Watch |
| H3.1C | Find the sum of the first n terms of an arithmetic series (Sn) | MA13-08 Sum of an Arithmetic Series Watch |
| H3.2A | Understand the concept that a function is a mapping between elements of two sets | MA14-03 Formal Function Notation: Domain and Range Watch |
| H3.2B | Use function notations of the form f(x) = ... and f : x → ... | MA14-03 Formal Function Notation: Domain and Range Watch |
| H3.2C | Understand the terms 'domain' and 'range' and which values may need to be excluded from a domain | MA14-03 Formal Function Notation: Domain and Range Watch |
| H3.2D | Understand and find the composite function fg and the inverse function f⁻¹ | MA14-03 Formal Function Notation: Domain and Range Watch |
| H3.3A | Recognise, plot and draw graphs with equation: y = Ax³ + Bx² + Cx + D in which: (i) the constants are integers and some could be zero (ii) the letters x and y can be replaced with any other two letters or: y = Ax³ + Bx² + Cx + D + E/x + F/x² in which: (i) the constants are numerical and at least three of them are zero (ii) the letters x and y can be replaced with any other two letters or: y = sin x, y = cos x, y = tan x for angles of any size (in degrees) | MA16-04 Cubic and Reciprocal Graphs Coming soonMA16-06 Trigonometric Graphs: sin, cos and tan Coming soon |
| H3.3B | Apply to the graph of y = f(x) the transformations y = f(x) + a, y = f(ax), y = f(x + a), y = af(x) for linear, quadratic, sine and cosine functions | MA16-08 Translating a Graph: Vocabulary and y=f(x)+a, y=f(x+a) Coming soonMA16-09 Stretching and Reflecting a Graph: y=af(x), y=f(ax) Coming soon |
| H3.3C | Interpret and analyse transformations of functions and write the functions algebraically | MA16-08 Translating a Graph: Vocabulary and y=f(x)+a, y=f(x+a) Coming soonMA16-09 Stretching and Reflecting a Graph: y=af(x), y=f(ax) Coming soon |
| H3.3D | Find the gradients of non-linear graphs | MA17-03 Estimating the Gradient of a Curve Coming soon |
| H3.3E | Find the intersection points of two graphs, one linear (y₁) and one non-linear (y₂), and recognise that the solutions correspond to the solutions of (y₂ - y₁) = 0 | MA12-06 Graph Intersections as Simultaneous Solutions Watch |
| H3.3F | Calculate the gradient of a straight line given the coordinates of two points | MA15-04 Finding the Gradient of a Straight Line Coming soon |
| H3.3G | Find the equation of a straight line parallel to a given line; find the equation of a straight line perpendicular to a given line | MA15-07 Equations of Parallel Lines Coming soonMA15-08 Equations of Perpendicular Lines Coming soon |
| H3.4A | Understand the concept of a variable rate of change | MA14-04 Differentiating Powers of x Watch |
| H3.4B | Differentiate integer powers of x | MA14-04 Differentiating Powers of x Watch |
| H3.4C | Determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs | MA14-05 Stationary Points: Maxima and Minima Watch |
| H3.4D | Distinguish between maxima and minima by considering the general shape of the graph only | MA14-05 Stationary Points: Maxima and Minima Watch |
| H3.4E | Apply calculus to linear kinematics and to other simple practical problems | MA14-06 Applying Calculus to Kinematics Problems Watch |
| H4.6A | Understand and use the internal and external intersecting chord properties | MA27-10 Circle theorem: intersecting chords (Higher) Coming soon |
| H4.6B | Recognise the term 'cyclic quadrilateral' | MA27-05 Circle theorem: cyclic quadrilaterals Coming soon |
| H4.6C | Understand and use angle properties of the circle including: (i) angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the remaining part of the circumference (ii) angle subtended at the circumference by a diameter is a right angle (iii) angles in the same segment are equal (iv) the sum of the opposite angles of a cyclic quadrilateral is 180° (v) the alternate segment theorem | MA27-02 Circle theorem: angle at the centre Coming soonMA27-03 Circle theorem: angle in a semicircle Coming soonMA27-04 Circle theorem: angles in the same segment Coming soonMA27-05 Circle theorem: cyclic quadrilaterals Coming soonMA27-07 Circle theorem: alternate segment theorem Coming soon |
| H4.7A | Provide reasons, using standard geometrical statements, to support numerical values for angles obtained in any geometrical context involving lines, polygons and circles | MA27-12 Writing formal geometrical reasoning across lines, polygons and circles (Higher) Coming soon |
| H4.8A | Understand and use sine, cosine and tangent of obtuse angles | MA30-06 Trigonometric ratios of obtuse angles (Higher) Coming soon |
| H4.8B | Understand and use angles of elevation and depression | MA30-04 Angles of elevation and depression Coming soon |
| H4.8C | Understand and use the sine and cosine rules for any triangle | MA30-05 The sine rule and the area of a triangle Coming soonMA30-07 The cosine rule Coming soon |
| H4.8D | Use Pythagoras' theorem in three dimensions | MA30-08 Pythagoras' theorem in three dimensions Coming soon |
| H4.8E | Understand and use the formula 1/2 ab sin C for the area of a triangle | MA30-05 The sine rule and the area of a triangle Coming soon |
| H4.8F | Apply trigonometrical methods to solve problems in three dimensions, including finding the angle between a line and a plane | MA30-09 Finding lengths in 3D using Pythagoras and trigonometry Coming soonMA30-10 Finding the angle between a line and a plane Coming soon |
| H4.9A | Find perimeters and areas of sectors of circles | MA23-04 Arc length and sector area, including major sectors Watch |
| H4.10A | Find the surface area and volume of a sphere and a right circular cone using relevant formulae | MA29-06 Surface area and volume of a sphere and cone (Higher) Coming soon |
| H4.11A | Understand that areas of similar figures are in the ratio of the square of corresponding sides | MA26-05 Area ratio of similar shapes Coming soonMA26-06 Volume ratio of similar shapes (Higher) Coming soon |
| H4.11B | Understand that volumes of similar figures are in the ratio of the cube of corresponding sides | MA26-05 Area ratio of similar shapes Coming soonMA26-06 Volume ratio of similar shapes (Higher) Coming soon |
| H4.11C | Use areas and volumes of similar figures in solving problems | MA26-05 Area ratio of similar shapes Coming soonMA26-06 Volume ratio of similar shapes (Higher) Coming soon |
| H5.1A | Understand that a vector has both magnitude and direction | MA28-10 Vector arithmetic: addition, subtraction and scalar multiplication Coming soon |
| H5.1B | Understand and use vector notation including column vectors | MA28-10 Vector arithmetic: addition, subtraction and scalar multiplication Coming soon |
| H5.1C | Multiply vectors by scalar quantities | MA28-10 Vector arithmetic: addition, subtraction and scalar multiplication Coming soon |
| H5.1D | Add and subtract vectors | MA28-10 Vector arithmetic: addition, subtraction and scalar multiplication Coming soon |
| H5.1E | Calculate the modulus (magnitude) of a vector | MA28-10 Vector arithmetic: addition, subtraction and scalar multiplication Coming soon |
| H5.1F | Find the resultant of two or more vectors | MA28-11 Expressing a vector in terms of given vectors Coming soon |
| H5.1G | Apply vector methods for simple geometrical proofs | MA28-12 Using vectors to prove geometric results (Higher) Coming soon |
| H6.1A | Construct and interpret histograms | MA33-01 Constructing histograms with frequency density Coming soonMA33-02 Reading and calculating from histograms Coming soon |
| H6.1B | Construct cumulative frequency diagrams from tabulated data | MA33-03 Constructing a cumulative frequency diagram Coming soonMA33-04 Reading estimates from a cumulative frequency diagram Coming soon |
| H6.1C | Use cumulative frequency diagrams | MA33-03 Constructing a cumulative frequency diagram Coming soonMA33-04 Reading estimates from a cumulative frequency diagram Coming soon |
| H6.2A | Estimate the median from a cumulative frequency diagram | MA33-03 Constructing a cumulative frequency diagram Coming soonMA33-04 Reading estimates from a cumulative frequency diagram Coming soon |
| H6.2B | Understand the concept of a measure of spread | MA32-04 Quartiles and interquartile range Coming soon |
| H6.2C | Find the interquartile range from a discrete data set | MA32-04 Quartiles and interquartile range Coming soon |
| H6.2D | Estimate the interquartile range from a cumulative frequency diagram | MA32-04 Quartiles and interquartile range Coming soon |
| H6.3A | Draw and use tree diagrams | MA36-01 Constructing tree diagrams Coming soonMA36-02 Combining probabilities on a tree diagram Coming soon |
| H6.3B | Determine the probability that two or more independent events will occur | MA36-03 Combined events: independent and dependent probabilities Coming soon |
| H6.3C | Use simple conditional probability when combining events | MA36-04 Conditional probability using diagrams Coming soon |
| H6.3D | Apply probability to simple problems | MA36-03 Combined events: independent and dependent probabilities Coming soon |
