Pythagoras' theorem test x18 (new GCSE 9-1 maths)

These resources are a collection of short tests on the application of Pythagoras’ theorem. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests.

There are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator.

The questions include:

1. Finding the longest/shorter side of a right-angled triangle
2. Determining whether a triangle is right-angled
3. Finding the distance between 2 points
4. Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc
5. Using Pythagoras’ theorem in 3D
6. Using Pythagoras’ theorem where side lengths are given as surds

All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students.

A sample of the tests is available for free here:

https://www.tes.com/teaching-resource/pythagoras-theorem-test-x2-11923017