Intersection of two circles

Sample Intersection of two circles questions

A few of the 3 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 8
   Circle $A$ has centre $(0,0)$ and radius $3$. Circle $B$ has centre $(8,0)$

What are the common mistakes in Intersection of two circles?

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.

• Determines whether two circles intersect by comparing the distance between centres to only one radius instead of correctly comparing it to the sum (and difference) of both radii.

  Whether two circles intersect depends on comparing the distance between centres to the SUM of both radii (and the difference of both radii) - comparing to just one circle's radius alone gives the wrong conclusion.

• Takes only the positive square root of a squared variable, missing the negative solution and its corresponding paired value

  Substituting $x=4$ into $x^2+y^2=25$

Quick answers about Intersection of two circles

How many Intersection of two circles practice questions are there?

There are 3 self-marking Additional Maths Maths questions on Intersection of two circles, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

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