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Past paper · The Manchester Grammar School

Arithmetic Section B past paper 2016

Answers available

A free maths past paper from The Manchester Grammar School, linked here from the publisher's own site and published in 2016.

  • Maths
  • 2016
  • Written answers

Get the paper

Download PDF from manchester-gram.reactfiles.co.ukMark scheme

Opens the school's site in a new tab. Trace Learn links to this PDF and does not host a copy.

Linked, not hosted

Trace Learn does not store or serve this PDF. The download comes from the school at manchester-gram.reactfiles.co.uk, and the paper stays the copyright of The Manchester Grammar School.

Checked
28 August 2026
Response
HTTP 200, application/pdf
File
16 pages, 233 KB
Source page
mgs.org

About this paper

Published by
The Manchester Grammar School
Paper type
Past paper
Subjects
Maths
Exam board or style
School-set paper
Format
Written answers
Year
2016 (for 2016 entry)
Answers
Included in the paper
Hosted by
the school (manchester-gram.reactfiles.co.uk)

Skills classified in this paper

Response items mapped to the pinned Trace Learn skill graph. Multi-skill questions split their weight between tags.

Easy questions
20
Medium questions
19
Hard questions
9

Paper-level difficulty counts include every classified response item, including creative-writing prompts. Sitting-year difficulty trends compare objective response items only, so those totals use a different, explicitly labelled denominator.

Published skill tags for Arithmetic Section B past paper 2016
SubjectSkill tagConceptClassificationWithin-subject shareItems carrying tagEasy / medium / hard weighted items
MathsAdd whole numbers or decimalsNumberConfirmed automated9.4%5 of 484.5 / 0 / 0
MathsCalculate areaMeasurementConfirmed automated4.4%3 of 480.7 / 1.4 / 0
MathsContinue a number sequenceNumberConfirmed automated7.9%4 of 482 / 1.8 / 0
MathsConvert unitsMeasurementConfirmed automated1%1 of 480 / 0.5 / 0
MathsDivide whole numbers or decimalsNumberConfirmed automated5.6%5 of 481.4 / 1.3 / 0
MathsEvaluate an algebraic expressionAlgebraConfirmed automated18.8%15 of 484.6 / 2.6 / 1.8
MathsFind a fraction of a quantityFractions, decimals, and percentagesConfirmed automated1.3%2 of 480.3 / 0.3 / 0
MathsFind a percentage of a quantityFractions, decimals, and percentagesConfirmed automated1.9%3 of 480.7 / 0 / 0.2
MathsIdentify a represented fractionFractions, decimals, and percentagesConfirmed automated0.8%1 of 480 / 0.4 / 0
MathsInterpret a pie-chart sectorData handlingConfirmed automated4.2%3 of 480.7 / 1.3 / 0
MathsMultiply fractionsFractions, decimals, and percentagesConfirmed automated0.6%1 of 480.3 / 0 / 0
MathsMultiply whole numbers or decimalsNumberConfirmed automated5%5 of 481.9 / 0.2 / 0.3
MathsRead a table cellData handlingConfirmed automated5.4%4 of 481 / 1.6 / 0
MathsRecognise equivalent fractionsFractions, decimals, and percentagesConfirmed automated3.3%4 of 481.6 / 0 / 0
MathsSolve a multi-step problemProblem solvingConfirmed automated29.8%22 of 480 / 7.6 / 6.7
MathsSubtract whole numbers or decimalsNumberConfirmed automated0.6%1 of 480.3 / 0 / 0

Classification coverage: 100% across 48 classified response items from 48 detected. Ratios describe classified items only, so any uncovered detected items are not silently treated as another skill. This profile is automated and is not represented as independent human review. Confirmed, provisional taxonomy, and provisional analysis labels show which claims can safely contribute to trend evidence.

Schools this paper is for

  • The Manchester Grammar School

    Manchester, Greater Manchester, North West England. School website

Subject-based preparation

These links are broad preparation based only on the catalog subject labels: Maths. They do not identify skills tested by this paper. An exact skill breakdown requires a published question-level analysis of the paper.

Questions families ask

Is this a real The Manchester Grammar School paper?

Yes. This is a paper from a live The Manchester Grammar School sitting, linked from its own site.

Are the answers included?

Yes. The answers are inside the paper PDF.

Where does the download come from?

The PDF is served by manchester-gram.reactfiles.co.uk. Trace Learn links to it and does not host a copy. The link was last checked on 28 August 2026 and returned HTTP 200.

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