Help your students prepare for their Maths GCSE with this free area of trapezium worksheet of 23 questions and answers
Area is the amount of space covered within the perimeter of a 2D shape. The area is measured in square units – such as m², cm² and mm². At GCSE level, students should be able to find the area of a number of different quadrilaterals, such as the area of a trapezoid or trapezium.
The formula for the area of a trapezium is based on the area of a rectangle. To calculate the area of a trapezoid, use the formula (½)(a+b)h, where h is the height of the trapezium and a and b are the lengths of the two parallel sides.
A right angled trapezium is one where the angle between each parallel side and the height is 90°. An alternative method to find the area of the trapezoid is to split it into a rectangle and a triangle, and then use the standard rectangle area formula and triangle area formula before adding the areas together.
Students are sometimes given the area of the trapezium and are then asked to use inverse operations to find a missing side length – for this, it helps if students are familiar with algebraic rearrangement.
In addition to using integers for the sides of the trapezoid, fractions and decimals are sometimes used. Students also need to be able to round their answer to a given number of decimal places and convert between different metric units – for example, if one side is given in centimetres and the other in millimetres.
Looking forward, students can then progress to additional geometry worksheets, for example an area of quadrilaterals worksheet or how to calculate surface area worksheet.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.