Clear maths, one idea at a timePercentages · Algebra · Geometry
Topic notes and worked questions

Geometry & Mensuration

Geometry questions become much safer when you label the diagram, choose the correct dimensions and write the units at every stage.

Area of a trapezium

Use the two parallel sides and perpendicular height — and understand the formula.

Guide

Sector area and arc length

Use the angle as a fraction of a full circle and keep radius vs diameter straight.

Guide

Volume of a cylinder

Build volume from circular base area × perpendicular height and check cubic units.

Guide

Before you calculate

Underline what the question gives you and what it actually asks for. Many errors happen before the arithmetic starts.

After you calculate

Look at the size and sign of the answer. A ten-second sense check can catch a wrong setup.

When units appear

Keep them beside the numbers. Converting early is often safer than trying to repair units at the end.