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DfE statement N14 · Number

Estimation and checking

Both tiersNon-calculator

Estimation and checking is content statement N14 of the DfE GCSE mathematics subject content, in the number area. It is on both tiers, and it is examined without a calculator. 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: "Estimate answers; check calculations using approximation and estimation, including answers obtained using technology." (statement N14). Every awarding organisation — Pearson Edexcel, AQA and OCR — must cover it, so the wording is the same whichever specification your school follows.

— Department for Education, Mathematics: GCSE subject content and assessment objectives, statement N14

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 is non-calculator territory. Questions on it belong naturally on Paper 1, where written method is all you have — so practise it that way rather than with a calculator to hand.

Common mistakes

  • Rounding each number to 1 significant figure and then presenting the result as an exact answer rather than as an estimate.
  • Rounding only some of the numbers in the calculation, which defeats the point of estimating.
  • Assuming any rounding makes the estimate larger. Rounding the divisor up makes the estimate smaller — say which way your estimate errs if the question asks.

Sample questions (10 of 30)

N14 · Estimation and checkingQuestion 1 of 10 · 0 correct
Practice mode· no pressure · hints available

Number

N14

Intermediate

Estimate the value of √45, giving your answer to the nearest whole number.

💡 Hints:
Foundation worksheetHigher worksheetFoundation number practiceHigher number practice

Nearby statements

N1Ordering numbers and inequality symbolsN2The four operations and place valueN3Inverse operations and priority of operations

Questions people ask

Is estimation and checking on Foundation or Higher?

Both. It is Foundation content, so it can be asked on either tier.

Can I use a calculator for estimation and checking?

Not on Paper 1, which is where this normally appears. Paper 1 is non-calculator for both tiers and carries the same 80 marks as each of the other two papers.

What is the single most common mistake here?

Rounding each number to 1 significant figure and then presenting the result as an exact answer rather than as an estimate.

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.

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