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KS3 Maths Papers

Download KS3 Maths Papers for free.

KS3 Maths Papers

Here are all Key Stage 3 Maths Papers for you to download for free.

YearLevel 3-5Level 4-6Level 5-7Level 6-8Answers Full answers and mark schemesScaled Scores / Levels Raw mark to Scaled Score conversion tablesComplete ZIP File Zip file with all standard resources bundled togetherPremium Downloads
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Source: Standards and Testing Agency (STA) | Open Government Licence
About these KS3 Maths papers
Paper 1
This KS3 Mathematics Paper 1 for Year 9 (Tier 4-6) assesses understanding without a calculator. It covers interpreting data from tables, properties of shapes including quadrilaterals and regular polygons, measurement units, algebraic operations and equations, spatial reasoning with cubes and 3D shapes, probability with dice and coins, fractions and decimals, coordinate geometry with straight line equations, ratio, and problem-solving involving time differences, perimeter, area, and real-world contexts.
Paper 2
This KS3 Mathematics Paper 2 (calculator-allowed) contains questions testing skills including number operations (digit cards, factors, remainders), geometry (pentagons, triangles, rectangle construction), measurement (perimeter, area, volume), fractions and percentages, probability (spinners), data interpretation (tables, timetables), and real-world problem solving (money calculations, travel costs, swimming pool pricing, wallpaper requirements).
Paper 2
This is a Year 9 Mathematics calculator paper for Key Stage 3 testing Tier 5-7 students. The paper contains questions covering probability and statistics (spinners, probability calculations, data interpretation), number operations (remainders, decimals, powers), algebra (finding values, inequalities), geometry and measures (angles in triangles, area, perimeter, volume, circle calculations, rectangle construction), ratio and proportion, and real-world problem solving including swimming pool pricing, BMI calculations, and CO2 data analysis.
Paper 1
This KS3 Mathematics non-calculator test contains questions covering time differences and number operations, probability with dice and coins, algebra including simultaneous equations and nth terms, geometry with regular polygons, areas, and enlargements, graphs including distance-time and coordinate lines, fractions, percentages and ratio, and data interpretation from tables and stem-and-leaf diagrams. Questions include problem-solving scenarios such as ticket pricing, recycling calculations, and wrapping paper measurements.
Paper 1
This is a Year 9 mathematics test for Key Stage 3 students working at levels 3-5, to be completed without a calculator. The paper covers a range of mathematical topics including data interpretation from tables and pictograms, number operations and missing number problems, geometry and reflection, time calculations, algebraic expressions, coordinate geometry, unit conversions, shape properties, and problem-solving involving balancing equations and percentages.
Paper 2
This is a Year 9 mathematics test at tier 3-5 level where calculators are allowed. The paper assesses understanding of data interpretation (tables, bar charts, graphs), number operations (rounding, calculations, multiples, divisibility), geometry (shapes, angles, nets, parallel lines, symmetry), measurement (time, length, area), algebra (formulas, sequences, patterns), and probability. Questions include work with real-world contexts such as school classes, plane schedules, shop deliveries, and ticket prices.
Paper 1
This is a Year 9 Mathematics non-calculator test paper for KS3 Tier 4-6. The assessment covers number operations with fractions and decimals, time calculations, unit conversions, algebra including expressions and equations, geometry including angles and coordinates, data interpretation through pictograms and graphs, sequences, probability, and properties of shapes and prisms. Questions progress from simpler calculations to more complex problems involving multiple steps.
Paper 2
This Year 9 mathematics calculator paper contains questions testing a range of mathematical skills including basic calculations (addition, subtraction, multiplication, division), interpreting tables and graphs (including scatter graphs, pie charts, and percentage share charts), solving word problems involving money and cost calculations, working with formulae and algebra, understanding geometry and shapes (angles, nets, perimeters, areas), probability with spinners and dice, sequences and patterns, and conversions and exchange rates.
Paper 2
This paper assesses mathematical skills across multiple topics including algebra, geometry, data handling, and number operations. Questions cover percentage calculations, area and perimeter, probability, algebraic expressions and sequences, ratio and proportion, statistics including pie charts and scatter graphs, coordinate geometry, and problems involving formulae. Calculator use is permitted throughout.
Paper 1
This is a Year 9 Mathematics Paper 1 non-calculator assessment for KS3 Tier 5-7 students. The paper tests various mathematical concepts including conversion graphs, brackets and order of operations, time calculations, 3D shapes and views, algebraic expressions, temperature graphs, percentages, negative numbers, area of quadrilaterals, equations, angles, sequences, inequalities, scatter graphs, properties of prisms, fractions, probability, straight line graphs, powers and indices, and algebraic manipulation including factorisation.
Paper 1
This Year 9 mathematics test paper for KS3 Level 6-8 assesses students across multiple mathematical topics without calculator use. Questions cover algebra (solving equations, simplifying expressions, factorising), geometry (angles, prisms, surface area, volume, Pythagoras' theorem), probability (dice, counters, conditional probability), graphs and coordinates (linear equations, scatter graphs), sequences, and number operations (powers, fractions). The test progresses from easier to more complex problems requiring working out and explanations.
Paper 2
This Year 9 mathematics test (Paper 2) assesses students at levels 6-8 with calculator use permitted. Questions cover geometry and mensuration (rectangles, kites, cuboids, triangles), algebra (sequences, simultaneous equations, inequalities), statistics (pie charts, scatter graphs, cumulative frequency), probability, percentages and proportional reasoning, exchange rates, standard form, and trigonometry. Topics include area and perimeter calculations, formulae manipulation, and multi-step problem solving.
Paper 1
This KS3 Mathematics Paper 1 for tier 3-5 is a non-calculator test covering a range of mathematical topics. Questions assess number operations (addition, subtraction, multiplication, division), geometry and transformations (symmetry, rotation, angles in triangles), measurement (length, capacity, area), fractions and decimals, percentages, probability, data interpretation through pie charts, algebra (sequences, solving equations), and problem-solving with money and patterns.
Paper 2
This KS3 Mathematics Paper 2 is a calculator-allowed assessment covering number operations, data handling, geometry, and algebra. Questions include table reading and bar charts, missing number problems, money calculations, shape properties, probability with spinners, fractions, reflections and rotations, rounding, time calculations, sequences, factors, and interpreting dual charts. Later questions involve algebraic expressions, isometric drawing of cuboids, graph interpretation for delivery costs, and area calculations using trapeziums and triangles on isometric grids.
Paper 1
This KS3 Mathematics Paper 1 (Tier 4-6) non-calculator test contains questions covering number operations, geometry, algebra, data handling, and measurement. Topics include percentages, decimals, fractions, ratios, angles in triangles, area calculations, probability, scatter graphs and correlation, number patterns and sequences, expressions with variables, and problem-solving with multiple steps.
Paper 1
This KS3 Mathematics Paper 1 (Tier 5-7) is a non-calculator test covering a range of mathematical topics. Questions assess decimals and fractions, probability, measurement conversions, percentages, algebra (including equations, expressions, and simultaneous equations), geometry (angles, area, perimeter), sequences and patterns, ratio, correlation in scatter graphs, powers, prime numbers, and problem-solving with mean and real-world contexts.
Paper 2
This KS3 Mathematics Paper 2 (Tier 4-6) is a calculator-allowed test covering a range of mathematical topics. Questions assess skills including geometry and transformations (reflections, rotations), number operations and calculations (rounding, problem-solving with money and units), algebra (finding values, using formulae), data handling (interpreting charts and graphs), measures (time, distance, mass), fractions and percentages, probability, and shape and space (area, volume, coordinates, angles).
Paper 1
This calculator-free mathematics test for KS3 Level 6-8 contains questions covering algebra (solving equations, simultaneous equations, expressions with variables), geometry (area calculations, similar triangles, coordinates), number operations (fractions, decimals, ratio, percentages), data handling (scatter graphs, correlation, cumulative frequency), and problem-solving involving sequences, probability, and real-world contexts such as distance and speed calculations.
Paper 2
This KS3 Mathematics Paper 2 (Tier 6-8) is a calculator paper testing mathematical problem-solving across multiple topics. Questions cover coordinate geometry, mean and percentage calculations, algebraic formulae and expressions, probability, ratio and proportion, geometry including Pythagoras' theorem and trigonometry, data handling with box plots, volume and area calculations, standard form, and equations. Topics range from basic arithmetic applications to more complex algebraic manipulation and geometric reasoning.
Paper 2
This KS3 Mathematics Paper 2 (Tier 5-7) calculator paper contains questions testing units and measurement, graph interpretation, calculations with money and percentages, geometry and transformations (rotation, coordinates, angles), algebra (substitution, nth term, equations), area and volume, probability, and problem-solving with real-world contexts including stopping distances, recycling statistics, and shop prices.
Paper 1
This non-calculator mathematics paper tests fundamental KS3 numeracy and reasoning skills through 25 varied questions. Topics include arithmetic calculations (addition, subtraction, multiplication, division), working with negative numbers, interpreting data from tables and charts (rhino populations, temperatures, duckweed growth), geometry and symmetry (angles, coordinates, shapes on grids), fractions and decimals, multiples and factors, and basic algebraic substitution and equation solving. Questions use real-world contexts including currency, measurements, and scientific data.
Paper 1
This paper assesses mathematical skills across several areas including arithmetic calculations (multiplication, division, decimals), negative numbers, geometry (symmetry, angles, coordinates, 3D shapes), algebra (substitution, solving equations, expressions), data handling (graphs, tables, stem-and-leaf diagrams), and number properties (factors, multiples, sequences). Questions include calculations, problem-solving scenarios, pattern recognition, and graph interpretation. No calculator is permitted for any question.
Paper 2
This KS3 Mathematics Paper 2 (Tiers 3-5) from 2008 is a calculator-allowed test covering topics including rounding numbers, properties of 3D shapes, probability, percentages, algebraic expressions, area and perimeter, symmetry, time calculations, and problem-solving with fractions and decimals. Questions involve both straightforward calculations and multi-step word problems requiring working to be shown.
Paper 2
This is a KS3 Mathematics calculator paper testing topics including percentages and probability, algebraic expressions and equations, area and perimeter calculations, measurement conversions, shape properties and symmetry, fractions and ratios, and graph interpretation. Questions cover number patterns, coordinate geometry, angle calculations in triangles, and real-world problem-solving contexts such as shopping, time calculations, and journey graphs.
Paper 2
This is a KS3 Mathematics calculator paper containing questions across multiple topics including geometry (cube paths, perimeters, area, angles in triangles), algebra (expressions, equations, nth terms, sequences), number (prime numbers, triangular numbers, percentages, ratios), data handling (scatter graphs, correlation, mean and range), and problem-solving (speed calculations, value for money, proportional reasoning). Questions progress from easier to more difficult.
Paper 1
This is a KS3 Mathematics non-calculator test covering topics including negative numbers, decimals, data interpretation from graphs, 3D shapes and views, algebraic substitution and solving equations, coordinates, expressions, percentages, perimeter and area, statistical measures (range, median), sequences and nth term, ratio, functions, linear equations, probability, and geometric construction. Questions progress from basic number operations to more complex problem-solving involving algebra and geometry.
Paper 1
This KS3 Mathematics Paper 1 is a non-calculator test covering topics in algebra, geometry, statistics, and number. Questions include algebraic expressions and equations, 3D shape views and nets, ratio and proportion, percentages, sequences and nth terms, coordinate geometry, probability, factorisation, standard form, stem-and-leaf diagrams, functions, inequalities, and dimensional analysis. The paper progresses from easier to more complex problems.
Paper 2
This calculator-allowed mathematics paper contains questions testing algebra (equations, expressions, sequences), geometry (angles, area, volume, circle theorems), statistics (mean, range, scatter graphs, box plots), ratio and proportion, probability, and problem-solving with real-world contexts. Topics include working with formulae, linear graphs, percentages, speed calculations, and applying Pythagoras' theorem and trigonometry.
Paper 1
This KS3 Mathematics Paper 1 for tier 3-5 assesses students without a calculator. It covers number operations including addition, subtraction, and multiplication using grids; sequences and negative numbers; money and currency conversions; time calculations with feeding schedules; divisibility rules; fractions, decimals and percentages; measuring and perimeter of a pentagon; factors and multiples; algebra including substitution and equations; probability; and data interpretation from graphs and tables.
Paper 2
This KS3 Mathematics Paper 2 (Tier 3-5) is a calculator-allowed test covering a range of mathematical topics. Questions assess sequences and rules, interpreting tables and charts, shape properties including symmetry and coordinates, measurement and scale reading, algebraic expressions and equations, data handling with bar charts and percentage bars, probability with spinners, geometry including 3D shapes and angles, area and perimeter calculations, and multi-step problem solving involving money and proportional reasoning.
Paper 1
This KS3 mathematics paper assesses students across multiple areas including algebra, geometry, probability, and number operations. Questions cover algebraic expressions and equations, percentages, fractions, ratios, area and volume calculations, angles in geometric figures, speed-distance-time graphs, sequences and nth terms, construction tasks, and statistical data representation. No calculator is permitted for any question.
Paper 2
This calculator-allowed mathematics test assesses KS3 Level 4-6 skills across multiple areas. The paper includes questions on coordinates and graphs, geometric transformations and congruent shapes, statistical measures including mode and probability, algebraic expressions and equations, area and perimeter of compound shapes, percentage calculations, interpreting data from charts and graphs, solving problems involving proportion and ratio, and working with 3D shapes and enlargements. The paper provides formulae for trapezium area and prism volume.
Paper 2
This calculator-allowed mathematics assessment contains questions covering algebraic simplification, probability, geometry and mensuration, and data interpretation. Topics include simplifying expressions, calculating areas and volumes of shapes including prisms and parallelograms, working with percentages and fractions, solving equations, graph interpretation, and applying Pythagoras' theorem. Questions also cover mean calculations, pie charts, coordinate geometry, and enlargement transformations.
Paper 1
This is a KS3 mathematics non-calculator test paper covering a range of topics at levels 4-6. Questions assess number operations including multiples, factors, and fractions, algebra involving equations and expressions, geometry including angles, shapes, perimeter and area calculations, data handling with graph interpretation, and probability. The paper includes work with percentages, ratios, negative numbers, and formulae for shapes including trapeziums and prisms.
Paper 1
This KS3 Mathematics Paper 1 (Tier 6-8) is a non-calculator test containing questions across multiple mathematical topics. It includes problems on speed-time graphs, ratios and percentages, probability with counters, angle calculations, fractions, solving equations, area and volume of shapes, sequences and nth terms, geometric mean, construction tasks, powers and indices, cumulative frequency graphs, circle theorems, and inequalities. Questions range from basic calculations to multi-step reasoning problems.
Paper 2
This KS3 Mathematics Paper 2 calculator paper tests students across topics including data handling (pie charts, percentages, probability, mean calculations), algebra (linear equations, simultaneous equations, expressions, brackets, sequences), geometry and measures (area of parallelograms and trapeziums, volume of prisms, Pythagoras' theorem, enlargement, perimeter calculations), and number (standard form, percentages). Questions range from straightforward calculations to multi-step problem-solving scenarios.
Paper 1
This KS3 mathematics assessment contains 19 questions testing students without calculator use. Topics covered include line symmetry, number operations, temperature and negative numbers, data interpretation with charts, capacity calculations, probability with spinners, working with algebraic expressions, area and perimeter of shapes, percentages, solving equations, factors and multiples, and pattern sequences. Questions range from basic arithmetic to more complex problem-solving involving fractions, decimals, and algebraic notation.
Paper 2
This KS3 Mathematics Paper 2 assesses levels 3-5 with calculator use permitted. The paper contains questions on number work (place value, ordering, calculations with money and measurements), shape and space (angles, quadrilaterals, triangles, reflections, coordinates), data handling (tables, charts, probability, pictograms, percentages), algebra (sequences, expressions, substitution), and problem-solving involving ratio, area, and value for money.
Paper 2
This KS3 Mathematics Paper 2 (Tiers 4-6, calculator allowed) contains questions covering geometry and measures (reflections, angles, areas, enlargements), number operations (sequences, rules, conversions, ratios), algebra (expressions, equations, nth terms), data handling (probability, percentage bar charts, pictograms, scatter graphs), and problem-solving involving real-world contexts such as cough mixture dosages, value for money comparisons, and statistical reliability.
Paper 1
This KS3 Mathematics Paper 1 (Tier 4-6) assesses skills across multiple topics without calculator use. Questions cover probability with spinners, number operations including negative numbers and decimals, algebra with expressions and equations, geometry including area and perimeter of shapes, percentage calculations, factors and multiples, sequences and patterns, fractions, powers, data interpretation using scatter graphs, and problem-solving with real-world contexts such as wildlife populations and costs.
Paper 1
This paper assesses mathematical skills across multiple topics including number operations, algebra, geometry, and data handling. Questions cover multiplication, percentages, solving equations, area and perimeter calculations, powers and indices, expressions with variables, angles in triangles, fractions, scatter graphs and correlation, stem-and-leaf diagrams, simultaneous equations, and Pythagoras' theorem. The paper progresses from easier to more difficult questions.
Paper 2
This KS3 Mathematics Paper 2 calculator-allowed test contains questions covering probability (cat food packets, wine gum tasting), algebra (expressions, nth terms, expanding brackets), geometry (angles, triangles, enlargement, 3D shapes), ratio and proportion (value for money, woodpeckers), conversions (metric units), statistical interpretation (percentage bar charts, scatter graphs), volume calculations, and problem-solving involving real contexts like tomato dimensions, tracking elephants, and field vole survival data.
Paper 1
This KS3 Mathematics Paper 1 for tiers 6-8 assesses mathematical skills without a calculator. The paper covers number operations including ordering fractions and powers, algebra with equation solving and factorising quadratics, geometry including nets, angles in triangles, and circle theorems, statistics with scatter graphs and measures of central tendency, and problem-solving tasks involving percentages, standard form, and simultaneous equations.
Paper 2
This KS3 Mathematics Paper 2 (Tiers 6-8) assesses various mathematical concepts with calculator use permitted. The paper covers geometry (angles, parallel lines, enlargement, shapes), algebra (equations, sequences, nth terms, expressions, expanding brackets), data handling (percentages, graphs, probability), measurement (volume, area, surface area), and problem-solving across contexts including tomatoes, elephants, field voles, and the Leaning Tower of Pisa.
Paper 2
This KS3 Mathematics Paper 2 assessment allows calculator use throughout. Questions cover geometry and shape (dividing grids, measuring angles and diagonals, drawing shapes with specific properties), number operations (calculating costs, tickets and prices, working with large numbers), data handling (interpreting tables, graphs and pie charts about topics like Paralympic Games and mobile phones), measurement (selecting appropriate units, calculating areas), algebra (simplifying expressions, sequences with tiles), ratio and proportion, and probability with counters.
Paper 1
This KS3 Mathematics Paper 1 from 2005 (Tier 3-5) is a non-calculator test covering fundamental maths skills. Questions assess number operations (decimals, whole numbers, multiplication, division), geometry (3-D shapes, angles, rotation, area), data handling (interpreting charts, mean, median, range), fractions and percentages, algebraic equations, and problem-solving with money and measurements. Topics include working with scales, coordinates, and spatial reasoning tasks.
Paper 1
This KS3 Mathematics Paper 1 assessment for tier 5-7 contains questions covering a range of mathematical topics without calculator use. The paper includes questions on percentages, rotation and transformations, algebraic equations and expressions, geometry and angles, coordinates and midpoints, area calculations, statistics (mean, median, stem-and-leaf diagrams, scatter graphs), fractions, Pythagoras' theorem, probability, and constructions. Questions progress from foundational concepts to more complex problem-solving including simultaneous equations.
Paper 2
This KS3 Mathematics Paper 2 (Tier 4-6, 2005) is a calculator-allowed assessment covering a range of mathematical topics. Questions assess factors and multiples, sequences and patterns, ratio and proportion, area and measurement (including trapeziums and rhombuses), data interpretation from graphs and charts, probability, algebra (simplification and equations), scale drawings and angles, enlargement, and problem-solving with real-world contexts including money, percentages, and conversions.
Paper 1
This KS3 Mathematics Paper 1 from 2005 assesses Tier 4-6 students without a calculator. It covers number operations (addition, subtraction, multiplication, division with decimals and whole numbers), geometry (area, angles, rotations, coordinates, shapes on grids), algebra (solving equations, substitution), fractions and percentages, data handling (bar charts, pictograms, mean, median, range, stem-and-leaf diagrams), measurement skills including scales and units, and problem-solving with straight line graphs and geometric reasoning.
Paper 1
This KS3 mathematics paper assesses a range of topics without calculator use. Questions cover coordinates and midpoints, area and perimeter, properties of zero, 3D shapes on isometric grids, fractions and division, linear equations, angles in triangles, stem-and-leaf diagrams and median, straight line graphs, indices, percentages, scatter graphs, Pythagoras' theorem, probability, standard form, simultaneous equations, geometric constructions, similarity, and algebraic proof.
Paper 2
This KS3 Mathematics Paper 2 (Tier 5-7) is a calculator-allowed assessment containing questions on algebra (simplifying expressions, solving equations, sequences), geometry (angles, enlargement, area of shapes including circles and parallelograms), probability, ratio and proportion, data interpretation through pie charts and tables, scale drawings and bearings, currency conversion, and problem-solving with real-world contexts. Questions progress from basic operations to more complex multi-step problems.
Paper 2
This KS3 Mathematics Paper 2 assessment for tiers 6-8 allows calculator use and tests a range of mathematical skills. Topics include currency conversion, enlargement, Heron's formula for triangle area, probability, ratio and proportion, algebraic manipulation, equation solving, data interpretation, sequences, geometry (angles in parallelograms, circle areas), trigonometry, percentage changes, graph matching, and volume calculations. Questions involve both straightforward calculations and multi-step problem-solving across number, algebra, geometry, and statistics strands.
Paper 2
This KS3 Mathematics Paper 2 assessment allows calculator use throughout and covers a range of mathematical topics. Questions include money calculations with sports equipment, interpreting data tables and bar charts about train travel, coordinate work with a maze, solving algebraic equations, completing rotational symmetry patterns, counter-examples for odd/even statements, geometric work with triangular tiles, percentage interpretation from pie charts, area calculations, coin combination problems, coordinate patterns, ratio problems with a cordial recipe, 3D rotation of cubes, multiples and factors, temperature graphs, angle calculations, properties of quadrilaterals, and prime numbers in number grids.
Paper 1
This is a KS3 Mathematics Paper 1 for tier 3-5 from 2004, taken without a calculator. The paper covers number operations (addition, subtraction, multiplication, division), data interpretation from tables and bar charts, number pyramids, shape and symmetry including folding and reflections, money problems, area and perimeter, probability, graph interpretation including delivery charges and daylight hours, basic algebra with magic squares, and fractions. Questions range from basic arithmetic to applied problem-solving.
Paper 1
This KS3 Mathematics Paper 1 from 2004 is a non-calculator assessment for levels 4-6. It contains questions on money and coins, measurement and dimensions, geometry and shapes (including folding, symmetry, and area/perimeter), data handling with bar charts and graphs, probability, algebraic expressions and functions, fractions and calculations, properties of 3D shapes including cuboids and volume, and equation rearrangement. Questions progress from basic arithmetic to more complex problem-solving.
Paper 2
This KS3 Mathematics Paper 2 calculator paper tests a range of mathematical skills including percentages and data interpretation (recycling statistics, pie charts), geometry and measurement (area, coordinates, angles, shape rotation), number properties (multiples, factors, prime numbers), ratio and proportion (recipe scaling, cordial mixing), algebraic thinking (pattern sequences, linear equations), and problem-solving with circles and circumference. Questions progress from straightforward calculations to multi-step reasoning problems involving real-world contexts.
Paper 1
This KS3 Mathematics Paper 1 from 2004 is a non-calculator test for levels 6-8. It covers functions and mapping, properties of cuboids including volume and surface area, identifying shapes on grids, fractions and their operations, algebraic manipulation including rearranging equations and expanding brackets, average speed calculations, scatter graphs and correlation, probability with dice, ratio and proportion problems, working with triangles and perimeter, standard form notation, prime factorisation, interpreting population data from charts, box plots and cumulative frequency, matching graphs to equations, and algebraic proof with consecutive integers.
Paper 2
This KS3 Mathematics Paper 2 (Tier 6-8, calculator allowed) contains 20 questions testing a range of mathematical concepts. Topics include area and perimeter calculations, percentages, coordinate geometry and straight line equations, algebraic expressions and equation solving, ratio and proportion, mean and statistics, circle properties (circumference), geometry and constructions (angles in polygons, perpendicular bisectors), distance-time graphs and speed, 3-D shapes and nets, and problems involving triangles and Pythagoras' theorem.
Paper 2
This KS3 Mathematics Paper 2 (Tier 5-7) is a calculator-allowed test covering topics including geometry and spatial reasoning (shape rotation, angles, quadrilaterals, nets of pyramids), number operations (prime numbers, percentages, ratios, mean calculations), algebra (linear equations, expressions, formula manipulation), data handling (interpreting graphs, pie charts, distance-time graphs), and measurement (area, circumference, unit conversion). Questions involve problem-solving and working with real-world contexts.
Paper 1
This KS3 mathematics assessment contains 19 questions testing various mathematical skills without calculator use. Topics include geometry (points of intersection, triangles, cuboids, surface area and volume), algebra (rearranging equations, magic squares, functions, expanding brackets), fractions (addition, subtraction, multiplication), probability (outcomes with dice and random selection), data handling (interpreting graphs showing daylight hours and delivery charges, scatter graphs with correlation), ratio and proportion (recipe scaling), and problem-solving with constraints.
Paper 1
This paper assesses mathematical skills including number operations, probability (dice throws, random events), geometry (symmetry, coordinates, construction with compasses, angles), algebra (simplifying expressions, solving equations, algebraic areas), data handling (scatter graphs, median, range), and problem-solving with money, fractions, and measurements. Questions cover sequences, temperature calculations, perimeter and area, and line equations on coordinate grids.
Paper 2
This KS3 Mathematics Paper 2 assessment allows calculator use and covers a range of mathematical topics including geometry (hexagons, reflections, 3D shapes), data handling (bar charts, surveys, tables), measurement (distance, temperature, area, perimeter), number work (place value, percentages, decimals), algebra (expressions with variables), and probability. Questions progress from easier to more difficult and include both calculation and problem-solving tasks requiring working to be shown.
Paper 1
This 2003 KS3 Mathematics Paper 1 for tier 3-5 is a one-hour non-calculator test containing questions on pictograms, number operations, reading scales, calculating prices, telling time on analogue and digital clocks, algebra (simplifying expressions and solving equations), probability with dice, geometry (perimeter, area, symmetry, coordinates, and compass construction), statistics (median and range), negative numbers, and problem-solving tasks involving patterns and real-world contexts.
Paper 2
This is a KS3 Mathematics Paper 2 calculator-allowed test covering topics including data interpretation (charts, tables, surveys), percentages and decimals, area and perimeter of shapes, algebra (expressions, equations), probability, ratio, temperature conversion, and geometry (nets, symmetry, angles). Questions involve both numerical calculations and problem-solving using real-world contexts such as cinema admission prices, ages, coins, and beach surveys.
Paper 1
This KS3 Mathematics Paper 1 (non-calculator) assesses students across multiple mathematical topics including solving equations, angle properties in shapes, fractions and mixed numbers, algebraic area and perimeter, number operations, coordinate geometry and line equations, scatter graphs and correlation, probability, speed and distance problems, locus construction, algebraic proof with odd and even numbers, cumulative frequency graphs, inequalities, circle theorems, and statistical analysis of mean scores.
Paper 2
This calculator paper for KS3 Mathematics assesses Level 5-7 mathematical skills across multiple topics. Questions cover algebra (expressions, equations, simplifying), geometry (area, perimeter, angles, symmetry, transformations), data handling (mean, frequency tables, pie charts), percentages and ratios, probability, and problem-solving with real-world contexts including animals, measurement conversions, and proportional reasoning. The paper includes both procedural calculations and questions requiring written explanations.
Paper 2
This KS3 Mathematics Paper 2 calculator-allowed test contains questions covering ratio and proportion (age ratios), area and perimeter problems (squares, cuboids, nets), data interpretation (pie charts, frequency tables), algebraic expressions and equations, geometry (angles, symmetry, similarity, transformations), percentages, standard form, Pythagoras' theorem, square numbers, and volume calculations. Questions include both straightforward calculations and multi-step problem-solving requiring working to be shown.
Paper 1
This KS3 Mathematics Paper 1 assessment for tiers 5-7 contains questions covering algebra (simplifying expressions, solving equations including those with brackets), geometry (coordinate geometry, angles in shapes, construction with compasses, symmetry and rotation), fractions (operations with mixed numbers), statistics (median, range, scatter graphs, probability), and problem-solving (money calculations, speed/distance/time, number patterns). Additional topics include loci, straight line equations, and algebraic proof with odd and even numbers.
Paper 1
This KS3 mathematics assessment contains non-calculator questions covering spatial reasoning with grid-based robot movements, basic arithmetic operations including addition, subtraction, multiplication and division, data interpretation from tables and pictograms, geometry topics such as area, angles and shape transformation, number concepts including factors and probability, and introductory algebra with simple equations and expressions.
Paper 2
This is a KS3 Mathematics Paper 2 (Tier 5-7) from 2002 with calculator allowed. The paper tests measurement conversions (yards to metres, grams to ounces), probability and combinations (security codes), ratio and percentages (screenwash mixtures), 3-D shapes and nets (cone construction), algebraic expressions, statistics (mean, range), volume and area calculations, angles in rectangles, coordinates and graphs (linear and hyperbolic equations), enlargement and scale factors, and data interpretation from tables and charts.
Paper 1
This KS3 mathematics assessment paper for levels 5-7 tests a range of mathematical concepts without calculator use. Topics include probability with spinners, geometric transformations using congruent shapes, algebra (interpreting expressions, solving equations, and rearranging formulae), work with negative numbers, fractions including Egyptian unit fractions, coordinate geometry and straight line graphs, loci construction, analysis of survey data and percentages, and angle calculations involving triangles and polygons.
Paper 2
This KS3 Mathematics Paper 2 (Tier 4-6) from 2002 is a calculator-allowed test covering various mathematical topics. Questions assess data interpretation (place names, pie charts, graphs), probability (coin tosses, security codes), measurement conversions (yards to metres, grams to ounces), algebra (expressions with variables, equations), geometry (nets, angles, area, volume, enlargement), percentages, fractions, and problem-solving with real-world contexts including screenwash ratios and photo processing costs.
Paper 1
This KS3 Mathematics Paper 1 assessment tests non-calculator skills across multiple mathematical topics. Questions cover algebraic manipulation including solving equations and rearranging formulae, geometry involving angles, similarity and locus construction, data handling including survey design and probability calculations, ratio and fractions including Egyptian unit fractions, and coordinate graphing of linear equations. Problems require working with negative numbers, interpreting bar charts, and applying volume formulae to algebraic expressions.
Paper 1
This KS3 Mathematics Paper 1 assessment for tier 4-6 contains questions testing various mathematical concepts without calculator use. Topics include area and geometry (rectangles, triangles, trapeziums, angles), number operations (factors, fractions, negative numbers), algebra (interpreting expressions, solving equations), probability (spinners and outcomes), data handling (surveys, percentages, bar charts), and problem-solving (parking costs, heights, patterns). Questions range from basic calculations to more complex reasoning about statistics and algebraic puzzles.
Paper 2
This KS3 Mathematics Paper 2 from 2002 is a calculator-allowed test containing word problems and applied mathematics questions. Topics include number operations (place value, basic calculations), data interpretation (charts, tables, percentages), geometry (properties of shapes, nets, drawing), measurement (distance, mass, unit conversion), probability (coin tosses, security codes), and algebra (expressions with variables). Questions involve real-world contexts such as games, travel, holidays, and school scenarios.
Paper 2
This paper tests mathematical skills across algebra, geometry, data handling, and problem-solving. Topics include volume and area calculations, angles in shapes, algebraic manipulation and equations, coordinates and graphs, enlargement and scale factors, probability, percentages, trigonometry, and circular measure. Questions require calculator use and involve both straightforward calculations and multi-step reasoning with real-world contexts such as photo processing costs and satellite orbits.
Paper 1
This Key Stage 3 Mathematics Paper 1 assesses pupils at levels 3-5 without calculators. It includes questions on multiplication tables and division, addition and subtraction with number cards, basic arithmetic operations, coordinates and rectangle properties, temperature calculations including negative numbers, fractions and percentages, time and multiples, paper folding and shape transformations, distance word problems, calculations with brackets, nets of 3D shapes, probability, data interpretation from bar charts and pie charts, and multi-step problems involving large number calculations.
Paper 2
This KS3 Mathematics Paper 2 assessment tests a range of mathematical skills including number operations, algebra, geometry, and data handling. Questions cover topics such as number chains, area and perimeter of shapes, interpreting spreadsheets, evaluating formulae, scale drawing, linear graphs, algebraic expressions, speed-distance-time calculations, circumference, pie charts, and percentages. A calculator is permitted and formulae for trapezium area and prism volume are provided.
Paper 1
This KS3 Mathematics Paper 1 (Tier 4-6, non-calculator) contains questions across multiple mathematical topics. It includes computation (addition, subtraction), coordinates and shape (rectangles, nets, transformations), temperature and negative numbers, fractions, decimals and percentages, multiples and factors, probability with practical contexts, algebra (expressions, equations, brackets), angles in polygons, ratio, and statistics (mean, mode). Questions range from basic arithmetic to multi-step problem solving with real-world contexts.
Paper 2
This KS3 Mathematics Paper 2 assessment allows calculator use and contains questions on money calculations (change, total costs, division problems), data interpretation from a bar chart about pop singles, number lines and equal steps, map directions and compass points, measurements using rulers, number chains with multiplication and division, area and perimeter of squares and rectangles, spreadsheet interpretation for profit/loss calculations, formula application for cooking times, scale drawing of a ferry crossing, linear graphs comparing swimming payment methods, and algebraic expressions with substitution and equivalent forms.
Paper 1
This KS3 mathematics test paper assesses students at levels 5-7 without calculator use. The paper covers geometry (nets, angles in triangles and parallelograms), probability (random selection, expected outcomes), algebra (expressions, equation solving, sequences), fractions and percentages, statistics (mode, mean, data interpretation), ratio, powers and square numbers, and coordinate graphs. Questions include both computational problems and reasoning tasks requiring explanations.
Paper 1
This KS3 Mathematics Paper 1 from 2001 assesses non-calculator mathematical skills across levels 6-8. Questions cover algebra (expressions, equations, inequalities), geometry (angles in triangles and parallelograms, congruence, similarity), statistics (mean, mode, median, cumulative frequency, probability), ratio and proportion, number properties (odd/even, square numbers, powers), coordinate geometry (graphs of linear and quadratic equations), and standard form. Students must show working throughout.
Paper 2
This KS3 Mathematics Paper 2 assessment allows calculator use and covers a range of mathematical topics. Questions assess area and perimeter, scale drawing, linear graphs and equations, algebraic expressions, formulae including speed and circumference, pie charts and data handling, percentages and proportions, Pythagoras' theorem, scatter diagrams, and geometric constructions. Problems include real-world contexts such as ferry crossings, swimming costs, drinks machines, and bird mass data.
Paper 2
This Key Stage 3 Mathematics Paper 2 from 2001 is a calculator-allowed test covering a range of mathematical topics. Questions assess skills including distance-speed-time calculations, algebraic formula manipulation, Pythagoras' theorem, circle circumference and area, percentage calculations, simultaneous equations, data interpretation through pie charts and scatter diagrams, geometric constructions and loci, and trigonometry. Problems are presented through practical contexts such as drinks machines, adverts, travel scenarios, and real-world data analysis.
Paper 2
This KS3 Mathematics Paper 2 (Level 5-7, 2000) is a calculator paper covering multiple mathematical topics. Questions assess probability (cards in cereal boxes, random selection), spatial reasoning (3D cube views), algebra (linear patterns, expressions with variables), percentages, data interpretation from charts and graphs, geometry (angle sums in polygons, circle area, Pythagoras' theorem), measurement (rounding, perimeter), statistics (mean and range), ratio, and coordinate inequalities.
Paper 1
This KS3 Mathematics Paper 1 for levels 6-8 assesses algebraic manipulation and problem-solving without calculators. Topics include simplifying expressions, solving number puzzles with negative values, probability with colored cubes, algebraic perimeters, linear equations and graphs, estimation and rounding, geometric construction (loci), factorising expressions, operations with decimals, finding means of expressions, comparing algebraic values, similar triangles, powers of 7, expanding brackets, and proving properties of isosceles triangles.
Paper 1
This KS3 Mathematics Paper 1 for levels 5-7 assesses non-calculator skills across multiple topics. Questions cover angles and measurement, 3D shapes including nets of prisms, distance-time graphs, percentages and money calculations, simplifying algebraic expressions, solving number puzzles with negative numbers, probability, perimeter with algebraic expressions, coordinate geometry and linear equations, estimation and rounding, loci and constructions, factorising expressions, and evaluating algebraic expressions for different values of variables.
Paper 2
This KS3 mathematics assessment contains questions across multiple topic areas. It includes graph interpretation (lift journey), statistics (mean and range calculations), geometry (angles in polygons, Pythagoras' theorem, circle area), percentages and ratio, measurements and bounds, coordinate geometry, algebraic expressions, standard form, cumulative frequency, volume formulas, and probability. Questions require both procedural skills and problem-solving with working shown.
Paper 2
This KS3 Mathematics Paper 2 from 2000 (Tier 4-6) assesses mathematical reasoning across multiple topics. Questions cover area and perimeter of shapes including polygons and circles, probability with tokens and random selection, algebraic rules and pattern sequences, temperature conversion, practical problems involving coaches and costs, 3D visualisation with cube models, interpreting graphs and charts including journey graphs, calculating percentages and ratios, mean and range in statistics, and angle properties of polygons. Calculator use is permitted.
Paper 1
This KS3 mathematics assessment contains 15 questions covering topics including multiplication and times tables, probability with spinners, shape properties and coordinates, transformations including reflections and rotations, decimal operations with measurement, angle measurement and interpretation of data, nets of 3D shapes, distance-time graphs, percentages of money, algebraic simplification, solving problems with negative numbers, probability with multiple outcomes, perimeter expressions with algebra, and linear graph equations.
Paper 2
A KS3 Mathematics assessment paper covering multiple mathematical topics. Questions include money calculations and change, geometric shapes and construction (dividing quadrilaterals, drawing with rulers), arithmetic operations (addition, subtraction, multiplication, division), interpreting data tables (sun cream factors), multi-step word problems (rulers, coaches), measurement and scales, area and perimeter, probability (tokens, cereal cards), temperature conversion (Celsius to Fahrenheit), 3D visualization (cube drawings from different views), algebraic rules (matchstick patterns), percentages, unit conversion, and chart interpretation (teacher age distributions).
Paper 1
This KS3 mathematics assessment tests students across multiple mathematical topics including data handling (tally charts, calendars), arithmetic operations (addition, subtraction, multiplication, division), time calculations, money problems, probability with spinners, geometry (coordinates, reflections, rotations, angles), measurements (rainfall in decimals), nets and 3D shapes, distance-time graphs, percentages, and algebraic simplification. Questions range from basic calculations to problem-solving tasks requiring reasoning and explanation.

KS3 Maths papers (also known as a Year 9 Maths test) are given to children at the end of Year 9.

Children take two KS3 Maths SATs papers depending on their ability. Level 3-5 for the most basic and level 6-8 maths papers for the most advanced.

The questions in Maths SATs papers KS3 cover all the topics within Key Stage 3.

We also have a number of free Year 9 Maths Worksheets for teachers and parents to download. These aim to challenge children on a broad range of Year 9 Maths topics before they face their real tests.

KS3 Mental Maths Papers

Here are all Key Stage 3 Mental Maths Papers for you to download for free.

YearMental Maths MP3Mental Maths Answer SheetMental Maths TranscriptAnswers Full answers and mark schemesComplete ZIP File Zip file with all standard resources bundled togetherPremium Downloads
2010
2009
2009 Mental-Maths Mental Maths MP3Test A
2009 Mental-Maths Mental Maths MP3Test B
2009 Mental-Maths Mental Maths MP3Test C
2008
2008 Mental-Maths Mental Maths MP3Test A
2008 Mental-Maths Mental Maths MP3Test B
2008 Mental-Maths Mental Maths MP3Test C
2007
2007 Mental-Maths Mental Maths MP3Test A
2007 Mental-Maths Mental Maths MP3Test B
2007 Mental-Maths Mental Maths MP3Test C
2006
2006 Mental-Maths Mental Maths MP3Test A
2006 Mental-Maths Mental Maths MP3Test B
2006 Mental-Maths Mental Maths MP3Test C
2005
2005 Mental-Maths Mental Maths MP3Test A
2005 Mental-Maths Mental Maths MP3Test B
2005 Mental-Maths Mental Maths MP3Test C
2004
2004 Mental-Maths Mental Maths MP3Test A
2004 Mental-Maths Mental Maths MP3Test B
2004 Mental-Maths Mental Maths MP3Test C
2003
2003 Mental-Maths Mental Maths MP3Test A
2003 Mental-Maths Mental Maths MP3Test B
2003 Mental-Maths Mental Maths MP3Test C
2002
2002 Mental-Maths Mental Maths MP3Test A
2002 Mental-Maths Mental Maths MP3Test B
2002 Mental-Maths Mental Maths MP3Test C
2001
2001 Mental-Maths Mental Maths MP3Test A
2001 Mental-Maths Mental Maths MP3Test B
2001 Mental-Maths Mental Maths MP3Test C
2000
2000 Mental-Maths Mental Maths MP3Test A
2000 Mental-Maths Mental Maths MP3Test B
2000 Mental-Maths Mental Maths MP3Test C
Source: Standards and Testing Agency (STA) | Open Government Licence

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