2D Pythagoras

Sample 2D Pythagoras questions

A few of the 24 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 3
   Here is a right-angled triangle with hypotenuse 18.75 cm and one other side 5.25 cm. Work out the value of x, the remaining side.
   Show the worked solution

   x² = 18.75² − 5.25² = 351.5625 − 27.5625 = 324. M1

   x = √324 = 18 cm. M2 A1
2. Question 23 marksGrade 3-4
   A right-angled triangle has two shorter sides of length 8 cm and 15 cm. Work out the length of the hypotenuse.

What are the common mistakes in 2D Pythagoras?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Squares the value but doesn't take the required square root

  Correctly found $a^2+b^2 = 10517$ but forgot to take the square root

• Adds the squared values where Pythagoras requires a subtraction (finding a shorter side)

  Added the squares ($100^2 + 96^2$

Quick answers about 2D Pythagoras

How many 2D Pythagoras practice questions are there?

There are 24 self-marking GCSE and IGCSE Maths questions on 2D Pythagoras, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise 2D Pythagoras?

No. You can start practising 2D Pythagoras straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.