Distance between two points

Sample Distance between two points questions

A few of the 6 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 5-6
   Find the distance between the points $(2, -6)$ and $(7, 2)$. Give your answer in exact form.
   Show the worked solution

   Use the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

What are the common mistakes in Distance between two points?

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.

• Adds the coordinate differences directly instead of applying Pythagoras' theorem to find the distance

  Added the horizontal and vertical distances (2 + 2 = 4) instead of using Pythagoras' theorem

• Gives a rounded decimal for a distance where an exact surd form was required

  Gave a rounded decimal (2.83) instead of the exact form 2\sqrt{2}

• Finds the sum of squares for a distance calculation but forgets to take the square root

  Gave the sum of the squares (2² + 2² = 8) instead of taking the square root

Quick answers about Distance between two points

How many Distance between two points practice questions are there?

There are 6 self-marking GCSE Maths questions on Distance between two points, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

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