DfE statement N12 · Number
Fractions and percentages as operators
Fractions and percentages as operators is content statement N12 of the DfE GCSE mathematics subject content, in the number area. It is on both tiers, and it appears on both the calculator and the non-calculator papers. Below is what the specification actually requires, the 3 mistakes that cost marks on this topic most often, and practice questions written to the statement — original questions, not past papers.
What the specification says
The DfE subject content for GCSE mathematics states, verbatim: "Interpret fractions and percentages as operators." (statement N12). Every awarding organisation — Pearson Edexcel, AQA and OCR — must cover it, so the wording is the same whichever specification your school follows.
Tier
Both tiers. This statement is Foundation content, which means Higher students are examined on it too — Higher is Foundation plus more, never instead of it.
Calculator
This turns up on both the non-calculator and the calculator papers, so practise it both ways — the written method for Paper 1 and the efficient calculator route for Papers 2 and 3.
Common mistakes
- Finding 3/4 of an amount by dividing by 3 and multiplying by 4 — the numerator and denominator have been swapped.
- Believing that a 20% increase followed by a 20% decrease returns the original amount. The multipliers 1.2 and 0.8 give 0.96 of the start.
- Using a percentage as if it were an absolute quantity, so '15% of the class' is answered as 15 students.
Sample questions (10 of 30)
Nearby statements
Questions people ask
Is fractions and percentages as operators on Foundation or Higher?
Both. It is Foundation content, so it can be asked on either tier.
Can I use a calculator for fractions and percentages as operators?
It depends on the paper. Paper 1 is non-calculator; Papers 2 and 3 allow one, and this topic is asked on both kinds.
What is the single most common mistake here?
Finding 3/4 of an amount by dividing by 3 and multiplying by 4 — the numerator and denominator have been swapped.
Are these past paper questions?
No. Every question is original, written to this DfE content statement and checked before publication. We do not host past papers or mark schemes.
Back to Number at Foundation or at Higher.