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Practice paper · CGP Books

CEM-style maths practice test

Answers available

A free maths practice paper from CGP Books, linked here from the publisher's own site.

  • Maths
  • Multiple choice

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Download PDF from cgpbooks.co.ukMark scheme

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Checked
28 August 2026
Response
HTTP 200, application/pdf
File
7 pages, 1.1 MB
Source page
cgpbooks.co.uk

About this paper

Published by
CGP Books
Paper type
Practice paper
Subjects
Maths
Exam board or style
Not stated by the publisher
Format
Multiple choice
Year
Undated by the publisher
Answers
Included in the paper
Hosted by
the publisher (cgpbooks.co.uk)
Cataloguer's note. CGP-authored sample test in CEM style.

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.

  • Low-confidence skill mapping
  • Elevated medium-confidence mapping rate
Easy questions
12
Medium questions
42
Hard questions
6

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 CEM-style maths practice test
SubjectSkill tagConceptClassificationWithin-subject shareItems carrying tagEasy / medium / hard weighted items
MathsAdd whole numbers or decimalsNumberProvisional analysis0.8%1 of 600 / 0.5 / 0
MathsCalculate a durationMeasurementProvisional analysis1.7%1 of 600 / 1 / 0
MathsCalculate a whole-number operationNumberProvisional analysis3.3%2 of 602 / 0 / 0
MathsCalculate areaMeasurementProvisional analysis5.8%4 of 600 / 2.5 / 1
MathsCalculate perimeterMeasurementProvisional analysis5%3 of 600 / 3 / 0
MathsCompare and order numbersNumberProvisional analysis3.3%2 of 601 / 1 / 0
MathsContinue a number sequenceNumberProvisional analysis1.7%1 of 600 / 1 / 0
MathsConvert unitsMeasurementProvisional analysis5.5%6 of 601 / 1.7 / 0.6
MathsDecode a pictogram keyData handlingProvisional analysis1%1 of 600 / 0.6 / 0
MathsDivide whole numbers or decimalsNumberProvisional analysis4.2%3 of 600 / 2.5 / 0
MathsFind a fraction of a quantityFractions, decimals, and percentagesProvisional analysis1.7%1 of 601 / 0 / 0
MathsFind a percentage of a quantityFractions, decimals, and percentagesProvisional analysis5%3 of 601 / 2 / 0
MathsIdentify a represented fractionFractions, decimals, and percentagesProvisional analysis1.7%1 of 601 / 0 / 0
MathsIdentify a shape propertyGeometryProvisional analysis1.7%1 of 600 / 1 / 0
MathsRead a table cellData handlingProvisional analysis2.5%5 of 600 / 1.2 / 0.3
MathsReflect a coordinateGeometryProvisional analysis3.3%2 of 602 / 0 / 0
MathsReflect a shapeGeometryProvisional analysis1.7%1 of 600 / 1 / 0
MathsRotate a shapeGeometryProvisional analysis1.7%1 of 600 / 1 / 0
MathsScale quantities in a ratioRatio and proportionProvisional analysis3.3%2 of 600 / 2 / 0
MathsShare a total in a ratioRatio and proportionProvisional analysis1.7%1 of 600 / 1 / 0
MathsSolve a multi-step problemProblem solvingProvisional analysis31.2%22 of 600 / 14.6 / 4.1
MathsSolve a one-step number problemNumberProvisional analysis3.3%2 of 601 / 1 / 0
MathsSolve an angle relationGeometryProvisional analysis3.3%2 of 600 / 2 / 0
MathsSubtract whole numbers or decimalsNumberProvisional analysis2.3%2 of 601 / 0.4 / 0
MathsTranslate a coordinateGeometryProvisional analysis1.7%1 of 601 / 0 / 0
MathsUse a term ruleAlgebraProvisional analysis1.7%1 of 600 / 1 / 0

Classification coverage: 100% across 60 classified response items from 60 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.

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 CGP Books paper?

This is a practice paper from CGP Books, 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 cgpbooks.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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