Comparing areas and volumes using ratio

Sample Comparing areas and volumes using ratio questions

A few of the 46 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 4-5
   Two similar squares have a linear scale factor of $4$ (every length in the larger shape is $4$ times the corresponding length in the smaller shape). What is the area scale factor?
   Show the worked solution

   The area scale factor is the linear scale factor squared: $4^2 = 16$

What are the common mistakes in Comparing areas and volumes using ratio?

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.

• Uses the linear scale factor directly where the area or volume scale factor was needed

  Gave the linear scale factor (3) itself instead of cubing it to get the volume scale factor.

• Uses the linear scale factor directly for an area calculation instead of squaring it

  Applied the length ratio directly instead of squaring it - area scales by the square of the length ratio, not the ratio itself

• Uses the linear scale factor directly for a volume calculation instead of cubing it

  Applied the length ratio directly instead of cubing it - volume scales by the cube of the length ratio, not the ratio itself

Quick answers about Comparing areas and volumes using ratio

How many Comparing areas and volumes using ratio practice questions are there?

There are 46 self-marking GCSE and IGCSE Maths questions on Comparing areas and volumes using ratio, 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 Extended tier. Each one is marked instantly and has a full worked solution.

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