Number
9-1 GCSE Maths (higher) Topic Checklist
Made for The Student Room
Geometry
Statistics and probability
Algebra and graphs
⎕ Basic arithmetic
⎕ Algebraic manipulation
⎕ Angles and parallel lines
⎕ Negative numbers
⎕ Forming and solving equations
⎕ Area and perimeter
⎕ Powers and roots
⎕ Expanding and factorising
⎕ Volume
⎕ Primes, factors and
multiples
⎕ Expanding three brackets
⎕ Circles, arcs and sectors
⎕ Linear simultaneous equations
⎕ Polygons
⎕ Quadratic simultaneous
equations
⎕ Congruence
⎕ Interpreting and
representing data
⎕ Stem and leaf diagrams
⎕ Sampling
⎕ Order of operations
(BIDMAS)
⎕ Averages
⎕ Quartiles and box plots
⎕ Use of a calculator
⎕ Working with decimals
⎕ Solving simultaneous
equations graphically
⎕ Pythagoras' Theorem
⎕ Factorising harder quadratics
⎕ SOHCAHTOA
⎕ Completing the square (and
using this form to find turning
points and solve equations)
⎕ Sine rule / cosine rule /
area formula
⎕ Working with ratios
⎕ The quadratic formula
⎕ Changing the subject of a
formula
⎕ Direct/inverse proportion
⎕ Algebraic fractions
⎕ Tree diagrams
⎕ Sets and venn diagrams
⎕ 3D trigonometry
⎕ Transformations (rotations,
translations, enlargements)
⎕ Functions
⎕ Proof
⎕ Bearings
⎕ Iteration
⎕ Loci and constructions
⎕ Straight line graphs
⎕ Circle theorems
⎕ Quadratic and cubic graphs
⎕ Proofs of circle theorems
⎕ Trig and exponential graphs
⎕ Plans and elevations
⎕ Reciprocal graphs
⎕ Vectors
⎕ Compound units
⎕ Standard form
⎕ Estimation
⎕ Equation of a circle
⎕ Estimate powers and roots
⎕ Transformations of functions
⎕ Capture/recapture questions
⎕ Real life graphs
⎕ Counting combinations
⎕ Speed/time graphs
⎕ Upper/lower bounds, error
intervals, giving answers to
"an appropriate degree of
accuracy"
⎕ Recurring decimals
⎕ Rates of change / gradients
⎕ Estimating areas under graphs
⎕ Solving linear inequalities
⎕ Linear inequalities on a graph
⎕ Solving quadratic inequalities
⎕ nth term of arithmetic/Fibonacci
sequences
⎕ Quadratic sequences
⎕ Recurrance relations
⎕ Geometric progressions /
exponential growth and decay
⎕ Conditional/”Given that”
probability
⎕ Frequency trees
⎕ Standard units
⎕ Simplifying/rationalising
surds
⎕ Relative frequency /
experimental probability
⎕ Exact trigonometry values
⎕ Successive transformations
and invariance
⎕ Indices
⎕ Converting area and volume
units
⎕ Scatter diagrams and
correlation
⎕ Probability
⎕ Working with percentages
⎕ Growth and decay including
simple/compound interest
⎕ Histograms
⎕ Similar shapes : area and
volume
⎕ Factorising/solving quadratic
equations
⎕ Working with fractions
⎕ Reverse percentages
⎕ Cumulative frequency
⎕ Similar shapes : length
⎕ HCF/LCM