GCSE maths grading before 9-1

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

Grade A* and A skills:
  • 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

Grade B skills:
  • 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

Grade C skills:
  • 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 nth 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

Grade D skills:
  • 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
Grade E skills
  • 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
Grade F skills:
  • 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
Grade G skills
  • 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