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Past paper · The Manchester Grammar School

Arithmetic Section B past paper 2019

Answers available

A free maths past paper from The Manchester Grammar School, linked here from the publisher's own site and published in 2019.

  • Maths
  • 2019
  • Written answers

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

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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, 277 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
2019 (for 2019 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.

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.

  • Elevated medium-confidence mapping rate
Easy questions
12
Medium questions
24
Hard questions
12

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 2019
SubjectSkill tagConceptClassificationWithin-subject shareItems carrying tagEasy / medium / hard weighted items
MathsCalculate a whole-number operationNumberProvisional analysis2.1%1 of 481 / 0 / 0
MathsCompare and order numbersNumberProvisional analysis2.1%1 of 481 / 0 / 0
MathsCompare line-graph changeData handlingProvisional analysis2.1%1 of 480 / 1 / 0
MathsCompare table valuesData handlingProvisional analysis6.3%3 of 482 / 1 / 0
MathsDivide whole numbers or decimalsNumberProvisional analysis5.2%3 of 480 / 2.5 / 0
MathsEvaluate an algebraic expressionAlgebraProvisional analysis14.6%7 of 483 / 4 / 0
MathsFind a fraction of a quantityFractions, decimals, and percentagesProvisional analysis2.1%2 of 480 / 0 / 1
MathsFind a percentage of a quantityFractions, decimals, and percentagesProvisional analysis2.1%1 of 480 / 1 / 0
MathsMultiply whole numbers or decimalsNumberProvisional analysis2.1%1 of 480 / 1 / 0
MathsPlot or read a coordinateGeometryProvisional analysis2.1%1 of 480 / 1 / 0
MathsRead a line-graph valueData handlingProvisional analysis7.3%4 of 483 / 0.5 / 0
MathsRead a table cellData handlingProvisional analysis4.2%2 of 481 / 1 / 0
MathsSolve a multi-step problemProblem solvingProvisional analysis43.8%22 of 480 / 10 / 11
MathsSolve a one-step number problemNumberProvisional analysis2.1%1 of 480 / 1 / 0
MathsSubtract whole numbers or decimalsNumberProvisional analysis2.1%1 of 481 / 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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