Geometry and Measures – Extended Subtopics

Geometry & Measures – Extended Subtopics

Select a subtopic, then choose Paper 2 (Non-calculator) or Paper 4 (Calculator) to view questions and worksheets.

Line of Symmetry & Rotational Symmetry

Identify lines of symmetry and orders of rotational symmetry for 2D shapes, including regular polygons and composite figures.

Area & Perimeter of 2D Shapes

Work with rectangles, triangles, parallelograms, trapezia and compound shapes to calculate perimeters and areas in exam-style contexts.

Arc Length & Area of Sector

Use circle formulas to find arc length and sector area, including applications to word problems and combined mensuration questions.

Area of Shaded Region

Find areas of shaded parts formed by overlapping shapes, sectors and segments by subtracting and combining known areas.

Polygons

Use interior and exterior angle sums of regular and irregular polygons, and apply them to solve geometric problems and proofs.

Angles in Parallel Lines

Use corresponding, alternate and co-interior angle properties with parallel lines to calculate unknown angles and justify reasoning.

Circle Theorems

Apply key circle theorems involving tangents, angles at the centre and circumference, cyclic quadrilaterals and chords in multi-step problems.

Similarity

Work with similar shapes and solids using scale factors to connect lengths, areas and volumes, including exam-style ratio and proof questions.