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Geometry and measures
One of the widest sections on the course, and one where checking your child's tier before they revise genuinely matters. Circle theorems, the sine and cosine rules and vector proof are Higher only — a Foundation student spending a week on circle theorems is revising content that cannot appear on their paper.
Weightings are approximate and vary slightly by board. They describe the whole tier rather than any single paper.
Angle rules
On a line, around a point, vertically opposite
Coming soonFound. & HigherAngles in parallel lines
Alternate, corresponding and co-interior
Coming soonFound. & HigherTriangles and quadrilaterals
Properties and angle sums
Coming soonFound. & HigherPolygons and interior angles
Interior and exterior angles
Coming soonFound. & HigherCongruence and similarity
Proving congruence and finding missing lengths
Coming soonFound. & HigherArea and perimeter
Including compound shapes
Coming soonFound. & HigherCircles, arcs and sectors
Area, circumference, arc length and sector area
Coming soonFound. & HigherVolume and surface area
Prisms, cylinders, pyramids, cones and spheres
Coming soonFound. & HigherPlans and elevations
2D views of 3D solids
Coming soonFound. & HigherConstructions and loci
Ruler and compass constructions
Coming soonFound. & HigherBearings
Three-figure bearings and back bearings
Coming soonFound. & HigherTransformations
Translation, reflection, rotation and enlargement
Coming soonFound. & HigherPythagoras' theorem
Finding missing sides in right-angled triangles
Coming soonFound. & HigherTrigonometry (SOHCAHTOA)
Missing sides and angles in right-angled triangles
Coming soonFound. & HigherExact trigonometric values
The values that must be memorised
Coming soonFound. & HigherVectors
Notation, addition and scalar multiples
Coming soonFound. & HigherCircle theorems
All the theorems and how to write the reason
Coming soonHigher onlyThe sine rule
Non-right-angled triangles
Coming soonHigher onlyThe cosine rule
Non-right-angled triangles
Coming soonHigher onlyArea of a triangle using sine
Half ab sin C
Coming soonHigher only3D Pythagoras and trigonometry
Working inside solids
Coming soonHigher onlyNegative and fractional enlargement
Scale factors below zero and below one
Coming soonHigher onlySimilar shapes: area and volume
Length, area and volume scale factors
Coming soonHigher onlyVector geometry and proof
Proving points are collinear
Coming soonHigher onlyNeed this section explained properly?
Small groups of no more than 5, arranged by ability. Founding member price £35 a lesson, held for the first year. The first lesson is a free trial.