The table shows how topics were matched to grades before the change to 9-1 grading.

- Calculating upper and lower bounds for areas and volumes
- Surds in the form a + b √3
- Rationlise the denominator surds
- Manipulating fractional indices
- Solving simultaneous equations – one linear and one quadratic
- Solving quadratics by factorising, formula or completing the square
- Transforming graphs of y = f(x)+a, y = f(x + a), y = f(ax) and y = af(x)
- Knowing graphs of exponential and more complex functions
- Solve fractional linear equations
- Solving 3D trigonometry problems
- Use the sine and cosine rule and area of triangle = ½absinC
- Proofs of circle theorems
- Proofs of construction theorems
- Use Vectors to solve simple geometrical problems in 2-D
- Rearranging formulae where the variable occurs twice
- Solving algebraic problems, e.g. explain why (n+1)(n+20) is an even number

- Algebraic fractions
- Solving equations graphically
- The difference of two squares
- Simplifying algebra involving powers
- Calculating equation of line through a point and perpendicular to a given line
- Solutions to trig questions, e.g. Sinx = 0.5
- Graphs of trigonometrical functions
- Calculating surface area or volume of various solids
- Solving problems involving arcs, sectors and segments
- Pythagoras' Theorem in 3D shapes
- Similarity in length, area and volume
- Calculating the distance between points using 3D co-ordinates
- Congruent triangles- proofs
- Circle theorems-proofs
- Enlargement with negative fractional scale factor (-½)
- Histograms
- Stratified sampling
- Direct and inverse proportion
- Find probability for combined events

- Compound interest
- Calculating reverse percentage problems
- Calculating with fractions and mixed numbers
- Standard form
- Negative powers or indices
- The difference of 2 squares
- Solving inequalities graphically or algebraically
- Solving simultaneous equations graphically or algebraically
- Matching equations to graphs
- Factorising and solving simple quadratics equations
- Solving equations involving fractions
- Expanding brackets
- Using y=mx+c to find the gradient and equation of a line without drawing

- Solving cubic or quadratic equations graphically (when the graph is given)
- Recognising graphs of cubic and reciprocal functions
- Simplifying fractions where the denominator is an algebraic expression
- Factorising algebraic expressions
- Circle theorems
- Simple similar shapes
- Trigonometry
- Describing transformations
- Interior and exterior angles of polygons
- Finding dimensions of a formulae
- Using tree diagrams for probability
- Analysing data to compare with theoretical results
- Cumulative frequency table - draw box plots
- Cumulative frequency table - plot and find median, quartiles and IQR

- Using a calculator
- Multiplication and division by a number between 0 and 1
- Prime factor tree
- Fractions - adding, multiplying and division
- Estimation and division by a number less than 1
- Compound and simple interest
- Ratios
- Percentage decrease and increase
- Multiplication and division by powers of 10 and decimals
- Rules of powers (indices)
- Trial and improvement
- Rearranging simple formulae
- Solving equations
- Solving inequalities
- Expanding brackets and simplifying the result

- Graphs of simple quadratic equations
- Travel graphs
- Finding the n
^{th}term of a sequence - Finding the length of a line given 2 points
- Substitution into complex formulae
- Construct the perpendicular bisector of a given line
- Constructing triangles
- Construct loci
- Finding volumes of 3D shapes
- Calculating area or circumference of a circle
- Transformations translation, rotation, reflection
- Pythagoras' Theorem
- Simple interior, exterior angles
- Bearings
- Drawing box plots
- Finding mean and median
- Questionnaires

- Estimation
- Calculating profit and loss
- Simple proportion
- Simple fractions
- Ratios in recipes
- Expanding brackets such as x(x+3)
- Factorising, e.g. x ² – 4x and 10x – 5
- Understanding linear graphs
- Substituting negative numbers into algebraic expressions
- Expanding and simplifying brackets and expressions
- Solving equations, including unknowns on both sides
- Converting from m² to cm²
- Area of triangle, regular polygons, compound shapes
- Drawing and measuring bearings

- Midpoint of a line from end co-ordinates
- Simple transformations
- Solving simple problems involving polygons
- Solving problems involving similar triangles (+ve scale factor)
- Constructing and interpreting plans and elevations
- Solving problems involving parallel lines
- Finding angle in a triangle
- Stem and leaf diagram
- Understanding and using relative frequency
- Finding missing probability from a list or table of results
- Scatter graphs
- Lines of best fit and type of correlation
- Mode, mean and modal class interval
- Questionnaires

- Simplifying ratios
- Using a calculator, e.g. 2.7³ and √32.56
- Rounding to 1 significant figure
- Simple fractions
- Long multiplication and division, including decimals
- Finding percentages
- Ordering fractions, decimals and percentages
- Calculating indices and roots, e.g. 3³, 4³ × 3³
- Using the four rules with negative numbers
- Calculating VAT
- Constructing simple linear graphs
- Simplifying simple algebra
- Using a formula inversely, e.g. find x if y=3 where y = 2x-1
- Using conversion graphs
- Recognising complex number sequences
- Solving simple equations, e.g. 3y + 2 = 8

- Geometry of triangles and quadrilaterals
- Measuring simple bearings
- Carrying out simple enlargements
- Converting between metric and imperial units using known facts
- Calculating simple volumes
- Completing tessellations
- Finding area and perimeter of rectangles and kites
- Identifying planes of symmetry
- Working with nets of shapes
- Constructing accurate drawings and angles
- Carrying out simple transformations
- Interpreting a stem and leaf diagram to find the median
- Interpreting a time series graph
- Using data collection sheets
- Finding probabilities from a 2-way table
- Sum of probabilities = 1
- Using 'fx' in a frequency table
- Constructing a pie chart

- Long multiplication and division: 3-digit by 2-digit
- Calculating simple percentages
- Calculating simple fractions
- Understanding the order of operations
- Rounding to various decimal places
- Understanding place value
- Finding simple squares, cubes and roots
- Factors of numbers
- Converting between fractions, decimals and percentages
- Using negative numbers
- Finding terms in a linear sequence
- Recognising non-linear number sequences
- Using co-ordinates in four quadrants
- Using simple formulae
- Solving simple equations, e.g. 4x = 24 and x–3=7
- Deriving simple expressions

- Estimating lengths
- Using simple scale drawings
- Naming, measuring and drawing angles
- Naming polygons
- Identifying lines of symmetry
- Identifying rotational symmetry
- Using the angle sum on a straight line = 180°
- Identifying faces, edges and vertices
- Simple probability
- Listing all outcomes for a single event
- Estimating probability from diagrams, pie charts and tables
- Finding range, and using to compare two distributions
- Finding mean and mode
- Interpreting pie charts
- Using bar charts to compare two sets of data

- Rounding to the nearest integer
- Interpreting bills and timetables
- Rounding to the nearest 10,100, 1000
- Identifying fractions from a shaded diagram
- Identifying percentages from a shaded diagram
- Calculating simple fractions of quantities (numerator of 1)
- Ordering decimals
- Ordering, reading and writing whole numbers
- Converting fractions to a ratio, e.g. 1/3 of a whole is 1:2
- Using co-ordinates in one quadrant
- Reading from simple real-life graphs
- Finding the next term in a simple linear sequence

- Finding areas, perimeters and volumes by counting
- Drawing 2D shapes
- Measuring and drawing lines
- Drawing circles
- Naming shapes
- Drawing lines of symmetry on a diagram
- Using a given line of reflection
- Completing accurate drawings of given shapes
- Finding median and mode using single digits
- Drawing and interpreting line graphs, bar charts and pictograms
- Making tables, lists and tally charts from discrete data
- Being able to choose the 'most likely' outcome from given information