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Maths Challenge Question Bank

The UKMT Individual Maths Challenges are made up of multiple choice questions designed to stimulate interest in maths.

This back catalogue of high quality questions is a fantastic resource for use in the classroom. The aim here is to make it easier for teachers to find appropriate questions by tagging each question with keywords to indicate the topic areas they may link to.

Whole question sets

Specific question

If you know the code of the question you want, enter it here:

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Questions by topic keyword

additionalgebraalgebra puzzlealgebraic fractionsalgebraic logicalgebraic manipulationangle factsanglesangles in polygonsangles in trianglesangles on parallel linesarc lengthareaarea of circlesarea of rectanglesarea of sectorsarea of trapeziumsarea of trianglesaveragescalculating with percentagescalculationcirclescircumference of circlescombinationscompound measurescongruent trianglescoordinatescube numberscubesdecimalsdifference of two squaresdirected numbersdivisibilitydivisionequilateral trianglesequivalent fractionsestimationfaces edges and verticesfactorisingfactorising quadraticsfactorsforming equationsformulaefraction additionfraction calculationsfraction divisionfraction multiplicationfraction subtractionfractionsgradienthighest common factorindicesinequalitiesintegersisosceles triangleslinear equationslocilogiclowest common multiplemeanmedianmetric unitsmoneymultiplesmultiplicationnegative numbersnetsnetworks / graph theorynonlinear graphsnumber puzzleorder of operationspatterned numberspatternspercentage increase and decreasepercentage of amountspercentagesperimeterpermutationsplace valueplans and elevationspolygonsprime factorsprime numbersprobabilityproperties of numberspythagorasquadratic equationsquadraticsquadrilateralsratiorearrangementreasoningreciprocalsrecurring decimalsrecursionreflectionsrotationssequencessimilar trianglessimultaneous equationsspeedsquare numberssquaresstraight line graphssubstitutionsubtractionsurdssurface areasymmetrytessellationtimetranslationtrapeziatrial and improvementtriangle numberstrianglestrigonometryvisualisingvolumevolume of cylindersworking systematically