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Past paper · The Manchester Grammar School

Arithmetic Section B past paper 2020

Answers available

A free maths past paper from The Manchester Grammar School, linked here from the publisher's own site and published in 2020.

  • Maths
  • 2020
  • Written answers

Get the paper

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

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Checked
24 October 2026
Response
HTTP 200, application/pdf
File
16 pages, 224 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
2020 (for 2020 entry)
Answers
Separate answer resource
Hosted by
the school (manchester-gram.reactfiles.co.uk)

Skills classified in this paper

Response items mapped to the pinned Smart Cub Learning skill graph. Multi-skill questions split their weight between tags.

This paper-level analysis needs review

The document reached terminal classification, but the response-item analysis still carries one or more review conditions. Its granular tags are visible as uncertain paper-level evidence and are never used as trend evidence or for rising and falling signals.

  • Low-confidence skill mapping
Easy questions
13
Medium questions
26
Hard questions
11

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 2020
SubjectSkill tagConceptClassificationWithin-subject shareItems carrying tagEasy / medium / hard weighted items
MathsAdd whole numbers or decimalsNumberProvisional analysis1.2%2 of 500 / 0.6 / 0
MathsCalculate a whole-number operationNumberProvisional analysis15%11 of 501.6 / 4.9 / 1
MathsCalculate an arithmetic meanData handlingProvisional analysis3.6%2 of 500 / 1.8 / 0
MathsCalculate areaMeasurementProvisional analysis10.8%8 of 502 / 2.1 / 1.3
MathsCompare and order numbersNumberProvisional analysis10%5 of 503 / 2 / 0
MathsConvert unitsMeasurementProvisional analysis5.6%5 of 501 / 1.6 / 0.2
MathsDivide whole numbers or decimalsNumberProvisional analysis3.2%6 of 500.6 / 0.8 / 0.2
MathsEvaluate a mixed expressionNumberProvisional analysis3.4%3 of 500.6 / 1.1 / 0
MathsFind a fraction of a quantityFractions, decimals, and percentagesProvisional analysis1.4%2 of 500 / 0.3 / 0.4
MathsFind a percentage of a quantityFractions, decimals, and percentagesProvisional analysis0.6%1 of 500 / 0.3 / 0
MathsIdentify a shape propertyGeometryProvisional analysis2%1 of 501 / 0 / 0
MathsMultiply whole numbers or decimalsNumberProvisional analysis3.2%4 of 500 / 1.3 / 0.3
MathsRead a bar-chart valueData handlingProvisional analysis2%1 of 501 / 0 / 0
MathsRead a table cellData handlingProvisional analysis4%2 of 501 / 0 / 1
MathsRead place valueNumberProvisional analysis2%1 of 500 / 1 / 0
MathsScale by a power of tenNumberProvisional analysis5.4%5 of 500.4 / 2.3 / 0
MathsSolve a multi-step problemProblem solvingProvisional analysis21.8%17 of 500 / 4.3 / 6.6
MathsSolve a one-step number problemNumberProvisional analysis4.4%3 of 500.8 / 1.4 / 0
MathsSubtract whole numbers or decimalsNumberProvisional analysis0.4%1 of 500 / 0.2 / 0

Classification coverage: 100% across 50 classified response items from 50 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?

The Manchester Grammar School publishes a separate answer resource, linked from this page. Check its title and instructions against the question paper.

Where does the download come from?

The PDF is served by manchester-gram.reactfiles.co.uk. Smart Cub Learning links to it and does not host a copy. The link was last checked on 24 October 2026 and returned HTTP 200.

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