These resources are a sample from 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.
In the full set of 18 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.
The full set of 18 tests is available here:
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A great selection of questions with worked solutions. Would be perfect for a homework task. Thank you for sharing.
A extensive range of pythagoras' questions. They were too demanding for my FE GCSE maths (reluctant) students so I have not used them but would be a good challenge for more able students.
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