KS2 SATs Maths Papers
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Maths SATs Papers
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| Source: Standards and Testing Agency (STA) | Open Government Licence |
About these KS2 Maths papers
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains questions testing place value, rounding, arithmetic operations with money and mass, coordinate translations, conversion between improper fractions and mixed numbers, time conversion between 12-hour and 24-hour formats, ordering decimals and fractions, identification of prime and square numbers, interpretation of pie charts, multi-step word problems involving multiplication and division, measurement conversions between kilometres, metres and centimetres, and angle calculations with parallelograms and rhombuses.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic assessment tests mental and written calculation skills across number operations. Questions cover addition and subtraction with whole numbers and decimals, multiplication and division including long methods, working with fractions and mixed numbers, calculating percentages, understanding place value, and applying order of operations. Students must complete all calculations without a calculator.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning paper from 2025 contains 23 questions testing various mathematical concepts without calculator use. Topics include angles, place value and number operations, coordinates, counting patterns, unit conversions (kilograms/pounds, kilometres, millimetres/metres), fractions and percentages, geometry (reflections, nets, cuboids), prime numbers, mass calculations with decimals, and multi-step word problems involving distance, cost, and volume.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning paper tests a range of mathematical concepts including fractions, negative numbers, money calculations, Roman numerals, shape and geometry (translation, perimeter, angles), simplifying fractions, algebra, measurements, percentages, factors, word problems involving multi-step calculations, 3-D shapes, and algebraic expressions. Questions require working with decimals, time conversions, data interpretation using pie charts, and problem-solving skills.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic assessment contains 36 arithmetic questions testing calculation skills without a calculator. Questions cover addition, subtraction, multiplication, and division with whole numbers, decimals, and fractions. Includes operations with place value, percentages, long multiplication and division, and calculations involving mixed numbers and common fractions. Three questions require showing formal written methods for 2-mark problems.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning test assesses mathematical problem-solving and reasoning skills across multiple topics. Questions cover geometry and shapes (reflections, 3-D shapes, parallel and perpendicular lines, coordinates), number operations (multiplication, division, decimals, place value, prime numbers), fractions and percentages, measurements (mass, time, distance), data handling (graphs, mean averages), and word problems involving money, sequences, and ratio. Students must show their working for several multi-step problems.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains questions testing place value, number operations, geometry (including reflection, shape identification, and nets), fractions and decimals, measurements (time, mass, length), data handling (tables and graphs), percentages, algebraic expressions, and problem-solving. Questions include calculations, pattern completion, shape work, and multi-step word problems involving real-world contexts such as shopping, travel times, and weather data.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic assessment contains 36 calculation questions testing numerical operations. Questions cover addition and subtraction of whole numbers and decimals, multiplication and division including long methods, fraction operations (addition, subtraction, multiplication, division), percentages of amounts, and order of operations. Students must complete all calculations without a calculator within 30 minutes.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning assessment contains questions testing a range of mathematical skills including time-telling, ordering negative numbers, coordinates and geometry, data interpretation from pictograms and pie charts, money calculations, number sequences, rounding, fractions and decimals, area and symmetry, measurement conversions, percentages, and algebraic formulas. Questions include both single-mark items and multi-mark problems requiring method boxes.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains 21 questions testing various mathematical concepts. Questions cover geometry (properties of 3D shapes, coordinates, angles), number operations (multiplication, addition, subtraction with large numbers), fractions and decimals (equivalents and conversions), word problems involving money and real-world contexts, rounding numbers, percentages, mean averages, factors and prime numbers, and algebraic thinking with pattern rules and formulas.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic from 2022 contains 36 calculation questions testing core numerical operations. Questions cover addition and subtraction with whole numbers and decimals, multiplication and division including long methods, fractions (adding, subtracting, multiplying, dividing, and finding fractions of amounts), percentages of quantities, and operations involving place value and decimals. Students complete calculations without a calculator in 30 minutes.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning assessment contains questions covering number operations, place value, fractions, decimals, measures and conversions, data interpretation, algebra, and geometry. Students work with multi-step word problems involving money, time, distance, mass, and capacity, as well as pictograms, line graphs, angles, transformations, and shape properties. Questions include both direct calculations and problems requiring working to be shown.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains questions testing various mathematical concepts including place value, number operations with multi-digit numbers, algebra with simple expressions, ordering decimals and fractions, money calculations and word problems, coordinate geometry, angles, prime numbers and factors, measurement conversions, time calculations, pictograms and data handling, scale models, and multi-step problem solving requiring working out to be shown.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic test assesses core calculation skills. Questions cover addition and subtraction with whole numbers and decimals, multiplication and division including long methods, working with fractions and mixed numbers, percentages, and operations involving place value and order of operations. Students complete calculations without a calculator in 30 minutes.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning assessment contains questions testing various mathematical concepts including number operations, fractions and decimals, geometry and measurement, sequences, percentages, prime numbers, area and perimeter, mean temperature calculations, and volume of cuboids. Questions require both calculation and problem-solving skills, with some requiring methods to be shown.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment from 2018 contains questions testing number sequences, place value, addition with missing digits, factors, coordinates and geometry, ratio and comparison, multiplication and division using known facts, and time calculations. Questions include both numerical problems and word problems requiring multi-step reasoning.
- Question Paper
- KS2 Mathematics Paper 1: Arithmetic from the 2018 national curriculum tests. This paper assesses students' computational skills without a calculator over 30 minutes. Questions include operations with whole numbers, fractions, decimals, and percentages. Long division and long multiplication questions are worth 2 marks each, with partial credit available for showing formal methods. All other arithmetic questions are worth 1 mark each.
- Question Paper
- Key Stage 2 Mathematics Paper 2: Reasoning from the 2018 national curriculum tests. Contains questions testing mental calculation methods, number sequences, equivalent fractions and decimals, temperature and negative numbers, properties of 3-D shapes including faces, vertices and edges, ordering fractions, estimation, comparison using inequality symbols, and volume of cubes. Includes inverse operations for checking calculations.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains word problems and mathematical reasoning tasks covering multiple topic areas. Questions address number operations (division, multiplication, factors), measurement (time, temperature, capacity, area, volume), fractions and decimals, geometry (shapes, angles, coordinates, translation), and algebra (sequences, patterns, equations). Problems require students to apply mathematical concepts to practical scenarios and show their working methods.
- Question Paper
- This is the KS2 Mathematics Paper 1: Arithmetic from the 2017 national curriculum tests. The paper assesses fundamental calculation skills including addition and subtraction (whole numbers, decimals, and fractions), multiplication and division (including long multiplication and long division methods), operations with fractions and mixed numbers, percentages, and understanding of place value. Students complete the test without a calculator in 30 minutes.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning paper from 2017 contains questions testing various mathematical concepts including number operations, place value, fractions and decimals, measurements and conversions, geometry and shapes, coordinates, ratios and proportions, percentages, and Roman numerals. Questions include word problems about school travel statistics, mountain heights, cooking times, map scales, similar triangles, and real-world calculations involving money and time.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning sample test contains questions covering place value, number operations, multiples, fractions and decimals, measurements (mass and volume), coordinate geometry, translations, percentages, ratio problems, and word problems involving money and area calculations. Questions require students to demonstrate mathematical reasoning and show their methods.
- Question Paper
- This KS2 Mathematics Paper 1: Arithmetic sample paper from 2016 contains 36 calculation questions completed without a calculator. Questions assess addition, subtraction, multiplication and division using whole numbers, decimals and fractions, alongside percentages, powers, and order of operations. Four questions require showing formal methods for long multiplication and long division.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning sample from 2016 contains questions testing number operations, fractions, time calculations, measurement, geometry, and data interpretation. Topics include Roman numerals, temperature graphs, angles and shapes, long multiplication, mean calculations, rounding, and word problems involving money and proportion. Students work without calculators over 40 minutes.
- Question Paper
- This KS2 Mathematics Paper 3: Reasoning assessment contains questions testing problem-solving and mathematical reasoning skills. The paper covers number sequences, negative numbers and temperature, time calculations with analogue and digital clocks, algebra with shapes representing numbers, ordering decimals, measurement problems with ribbon lengths, identifying angles (acute and obtuse), money calculations, bus timetable interpretation, volume of cuboids, multi-step multiplication problems, coordinate translation, working backwards from answers, rounding numbers, ratio problems with mass, calculating areas of triangles on grids, properties of quadrilaterals, and applying inverse operations.
- Question Paper
- This KS2 Mathematics Paper 2: Reasoning assessment contains questions testing various mathematical skills including number operations, ordering numbers, place value, fractions and decimals, shape reflection, algebra, measurement conversions, angles, and coordinate geometry. Questions involve problem-solving with money, weights, temperatures, and multiples, requiring students to show their methods for calculations.
- Ks2 Mathematics 2015 Test A
- This KS2 Mathematics Paper 1 assessment tests mathematical skills without a calculator. The paper covers number operations (addition, subtraction, multiplication, division), fractions and percentages, shape and symmetry (lines of symmetry, angles in shapes), measurement (length in millimetres, angles in degrees), time problems, data handling (reading charts and graphs), sequences and patterns, and problem-solving with money. Questions include both direct calculations and multi-step word problems requiring reasoning.
- Ks2 Mathematics 2015 Test B
- This is Paper 2 (calculator not allowed) of the 2015 KS2 Mathematics assessment. The paper contains 23 questions covering number operations (addition, division with remainders, ordering temperatures), fractions and decimals, measurement (distance, perimeter, reading scales), shape and space (nets, right angles, coordinates, transformations), data handling (bar charts, probability), problem-solving with money and time, and sequences and patterns. Students have 45 minutes to complete the test without a calculator.
- Ks2 Mathematics 2014 Test A
- This KS2 Mathematics Paper 1 from 2014 is a non-calculator test covering Levels 3-5. It contains questions on number operations, sequences, data interpretation using pictograms and tables, time calculations, multiplication grids, fractions, money problems, angles, Venn diagrams, temperature including negative numbers, shape properties including quadrilaterals and symmetry, perimeter, multi-digit multiplication, ordering decimals, percentages, ratio and proportion, statistical measures (range and mode), and algebraic inequalities.
- Ks2 Mathematics 2014 Test B
- This is a KS2 Mathematics Paper 2 assessment for levels 3-5, completed without a calculator. The paper tests number operations (addition, subtraction, decimals, fractions), measurement (weight, length, capacity, temperature), shape and space (symmetry, coordinates, angles, triangles), and data handling (bar charts, graphs, tables). Questions include reading scales, completing patterns, solving word problems involving money and sequences, working with percentages, and constructing accurate geometric drawings.
- Ks2 Mathematics 2013 Test A
- This KS2 Mathematics Test A (non-calculator) assesses mathematical skills across levels 3-5. The paper contains questions on number operations (addition, multiplication, division), fractions and decimals, shape and symmetry (reflections, nets of cubes, coordinates), measurement (perimeter, weight conversions), data interpretation (graphs, tables), and problem-solving involving money, percentages, and probability. Questions range from basic arithmetic to multi-step word problems requiring working out.
- Ks2 Mathematics 2013 Test B
- This KS2 Mathematics Test B (calculator allowed) assesses a range of mathematical skills across levels 3-5. The paper contains questions on number operations (multiplication, division, addition, subtraction with decimals), problem-solving (money, time, measurement), fractions and decimals, geometry (angles, rotation, lines), data handling (pictograms, tables, pie charts), and shape and space (area, perimeter). Questions include both straightforward calculations and multi-step word problems requiring methods to be shown.
- Ks2 Mathematics 2012 Test A
- This is a KS2 Mathematics Test A (calculator not allowed) from 2012. The paper assesses mathematical skills including shape recognition (matching shapes to names like pentagon, hexagon, octagon), number operations (ordering decimals, subtraction, division, multiplication), geometry (symmetry, transformations, perimeter), fractions and percentages, word problems involving money and measurements, time, capacity conversions, data interpretation (tables, Venn diagrams, pie charts), and multi-step problem solving.
- Ks2 Mathematics 2012 Test B
- This is a KS2 Mathematics Test B (Calculator Paper) from 2012, assessing Levels 3-5. It contains questions on arithmetic operations (addition, subtraction, multiplication, division), fractions and percentages, measurement (length, area, time), geometry (shapes, symmetry, coordinates, parallel and perpendicular lines), data interpretation (charts and graphs), and word problems involving money, ratio, and logical reasoning.
- Ks2 Mathematics 2011 Test B
- This KS2 Mathematics Paper 2 (Test B) from 2011 is a calculator-allowed paper testing various mathematical concepts. Questions cover number operations (multiplication, division, addition, subtraction with whole numbers and decimals), fractions and decimals, geometry (symmetry, angles, 2D shapes including rhombus and kite), measurement (mass, length, money, time using timetables), data handling (bar charts, Venn diagrams), sequences and patterns, percentages, probability, and problem-solving involving real-world contexts.
- Ks2 Mathematics 2011 Test A
- This KS2 Mathematics Test A paper assesses students' mathematical skills without calculators over 45 minutes. The paper contains 25 questions covering number operations (addition, subtraction, multiplication, division), place value with digit cards, time calculations, money problems, shape identification and properties, perimeter and area, fractions, data interpretation from charts and graphs, coordinates, symmetry, sequences, decimals, measurements including mass, and geometric construction using protractors. Questions include standard calculations, word problems, and tasks requiring working to be shown.
- Ks2 Mathematics 2010 Test B
- This KS2 Mathematics Paper 2 from 2010 contains a variety of arithmetic and reasoning questions testing core mathematical skills. The paper covers number operations, fractions, decimals, percentages, time calculations, measurement, data interpretation, shape and space problems, and word problems involving real-world contexts. Students must demonstrate understanding of mathematical concepts through calculations, problem-solving, and explaining their reasoning.
- Ks2 Mathematics 2010 Test A
- This KS2 Mathematics Paper 1 from 2010 contains questions testing various mathematical skills including number operations, fractions and decimals, shape and space, data handling, and measures. Questions involve arithmetic calculations, problem-solving scenarios, interpreting charts and tables, understanding geometric properties, and working with money and measurements. The paper assesses both computational skills and mathematical reasoning abilities.
- Ks2 Mathematics 2009 Test A
- This KS2 Mathematics Test A from 2009 is a non-calculator paper containing questions across multiple mathematical topics. It includes time calculations, number operations (addition, division, multiplication), geometry (reflections, coordinates, shapes, angles), fractions and decimals, data handling (tables, graphs, pie charts), measures (weight, volume, length), area and perimeter, and problem-solving involving real-world contexts such as shopping and puzzles.
- Ks2 Mathematics 2009 Test B
- This KS2 Mathematics Paper 2 (Calculator allowed) from 2009 contains questions testing number operations, rounding, fractions and percentages, geometry, measurement, and data interpretation. Topics include multiplication calculations, angle identification, symmetry, time problems, Carroll and Venn diagrams, money calculations, graph reading, and conversions between units. Questions incorporate real-world contexts such as shopping, recipes, and the London Eye.
- Ks2 Mathematics 2008 Test A
- This KS2 Mathematics Paper 1 (Test A) from 2008 is a non-calculator test covering a range of mathematical skills. Questions assess number operations (addition, multiplication, division), time calculations, data interpretation using pictograms and charts, geometry and shapes (reflection, properties of shapes, angles), fractions and decimals, percentages, sequences and patterns, money problems, measurement conversions, and problem-solving with multi-step word problems.
- Ks2 Mathematics 2008 Test B
- This KS2 Mathematics Paper 2 (Test B) is a calculator-allowed assessment containing questions on number operations, including place value, money calculations, and sequences. It covers geometry and measures topics such as sorting shapes, nets of 3D shapes, time, symmetry, rotation, and angles. Additional areas include fractions, data handling with charts and graphs, probability with spinners, and multi-step problem-solving questions involving perimeter and logical reasoning with variables.
- Ks2 Mathematics 2007 Test A
- This KS2 Mathematics Test A paper assesses pupils' mathematical knowledge without a calculator over 45 minutes. The paper contains arithmetic calculations including multiplication, division and number operations, problem-solving questions involving money, time, measurement and data interpretation, and geometry tasks covering symmetry, shape properties, coordinates, transformations and nets. Questions also test understanding of number sequences, multiples, fractions, decimals, temperature and probability concepts.
- Ks2 Mathematics 2007 Test B
- This is a KS2 Mathematics Test B (Calculator allowed) from 2007, assessing levels 3-5. The paper covers a range of mathematical skills including number operations and ordering, measurements (length, time, capacity), geometry (reflection, rotation, properties of shapes including quadrilaterals and triangles), data interpretation (tables, bar charts, line graphs), fractions and percentages, money calculations, and problem-solving involving area and multi-step reasoning.
- Ks2 Mathematics 2006 Test A
- This KS2 Mathematics Paper 1 from 2006 is a non-calculator test covering levels 3-5. It contains questions on number ordering, symmetry, data interpretation with bar graphs and pie charts, calculations including addition, subtraction, and division, fractions and decimals, time problems, measurement of distance and perimeter, factors, and geometric construction using protractors and rulers. Questions include both straightforward calculations and multi-step word problems requiring written working.
- Ks2 Mathematics 2006 Test B
- This KS2 Mathematics Paper 2 (Test B) from 2006 is a calculator-allowed assessment covering levels 3-5. The paper tests a range of mathematical skills including arithmetic operations (multiplication, division, subtraction), fractions and percentages, handling money and measures (time, weight, capacity), interpreting graphs and charts, working with coordinates and shapes (quadrilaterals, rectangles, nets), sequences and multiples, and solving word problems involving ratios and proportional reasoning.
- Ks2 Mathematics 2005 Test B
- This KS2 Mathematics Test B from 2005 is a calculator-allowed paper for levels 3-5. It contains questions covering ordering decimals and prices, addition, shape reflection and rotation, 3D shapes, pictograms and data interpretation, number sequences, probability, inverse operations, area calculations, coordinates, factors, bar charts, ratio problems, percentage calculations, perimeter, and multi-step word problems involving division and measurement.
- Ks2 Mathematics 2005 Test A
- This is KS2 Mathematics Test A from 2005, a non-calculator paper testing levels 3-5. The paper covers number operations (addition, subtraction, multiplication, division), fractions and decimals, shape and geometry (hexagons, angles, symmetry, nets of cubes), measurements (time, length in millimetres), data handling (bar graphs, pie charts, line graphs), ordering numbers, square numbers, probability, and problem-solving with money and patterns.
- Ks2 Mathematics 2004 Test A
- This KS2 Mathematics Test A paper assesses students at levels 3-5 without calculator use. Questions cover number operations (addition, subtraction, multiplication, division with whole numbers and decimals), fractions, money calculations, measurement (length, temperature, time, capacity), geometry (shapes, symmetry, coordinates, nets, perimeter), data interpretation from graphs and tables, problem-solving with ratios and percentages, and algebraic thinking.
- Ks2 Mathematics 2004 Test B
- This KS2 Mathematics Paper 2 (Test B, Levels 3-5) allows calculator use and covers number operations including multiplication, place value, and decimals; geometry and measures including symmetry, angles, shapes (pentagons, hexagons, triangles), and reading scales; data handling with tables and graphs; and problem-solving with money, time, and multi-step word problems involving real-world contexts like sports day results and shopping bills.
- Ks2 Mathematics 2003 Test A
- This KS2 Mathematics Test A (2003) is a non-calculator paper for levels 3-5. It contains questions covering number operations (addition, subtraction, division), place value and rounding, money calculations, fractions and decimals, shape and symmetry (including quadrilaterals and coordinates), sequences and patterns, measurement (length, mass, capacity), data interpretation using tables and pie charts, and problem-solving involving multi-step calculations.
- Ks2 Mathematics 2003 Test B
- This KS2 Mathematics Test B (2003) assesses levels 3-5 with calculator use permitted. The paper contains questions covering arithmetic operations (addition, subtraction, multiplication, division), time calculations, fractions and equivalents, number sequences, geometric shapes and reflections, data interpretation from charts, temperature and negative numbers, percentages, measurements and conversions, probability statements, and multi-step word problems involving money and proportional reasoning.
- Ks2 Mathematics 2002 Test A
- This KS2 Mathematics Test A from 2002 is a non-calculator paper for levels 3-5. It contains questions covering number operations (multiplication, division, addition, subtraction), fractions and decimals, geometry (reflection, coordinates, angles), measurement (length, weight), data interpretation from graphs and tables, word problems involving money, multiples, sequences, and probability.
- Ks2 Mathematics 2002 Test B
- This KS2 Mathematics Test B (levels 3-5) allows calculator use and assesses various mathematical skills. Questions cover number operations including multiplication and division, data interpretation from bar charts and graphs, measurement tasks involving temperature and volume, geometry including symmetry and triangle properties, fractions, decimal calculations, problem-solving with money, and algebraic thinking through inverse operations.
- Ks2 Mathematics 2001 Test A
- This KS2 Mathematics Test A (Paper 1) from 2001 assesses levels 3-5 without calculator use over 45 minutes. The paper contains arithmetic operations including addition, subtraction, multiplication and division, money problems ordering amounts and calculating change, geometry tasks involving reflections, angles, measurements and coordinates, fractions and percentages, data interpretation from tables and charts, probability with spinners, and problem-solving questions involving patterns, sequences and perimeter calculations.
- Ks2 Mathematics 2001 Test B
- This KS2 Mathematics Test B paper from 2001 assesses levels 3-5 with calculator use permitted. It contains questions covering number operations (addition, multiplication, division), fractions and decimals, geometry (symmetry, shapes, angles, perimeter), measurement (weight, time, money), data interpretation using charts and graphs, problem-solving with ratios and proportions, sequences, and prime numbers. Questions include both straightforward calculations and multi-step word problems.
- Part 2
- This KS2 Maths Paper 2 from 2000 contains questions testing data interpretation (bar charts), money calculations, area, number properties, 3D shape nets, number lines, transformations (rotation), percentages, calculator work, algebra (substitution), distance-time graphs, geometry (angles, parallel and perpendicular lines), unit conversions (miles to kilometres, currency), and probability. Questions include both numerical calculations and written explanations.
- Part 1
- This KS2 Mathematics Test B paper from 2000 allows calculator use and assesses levels 3-5. Questions cover arithmetic operations (addition, subtraction), number sense and place value, telling time using analog and digital clocks, money calculations with coins, word problems involving multiplication and division, reflection and symmetry using mirror lines, and interpreting timetables. Problems include both straightforward calculations and multi-step reasoning tasks.
- Ks2 Mathematics 2000 Test A
- This KS2 Mathematics Test A paper assesses pupils at levels 3-5 without calculator use. It contains questions on multiplication and division, addition and subtraction with whole numbers and decimals, fractions and percentages, symmetry and reflection, temperature and negative numbers, probability, data handling including tables and pie charts, perimeter and measurement, coordinates, and number sequences. Questions include both straightforward calculations and word problems requiring working out.
Download these Maths SATs papers to help prepare your child for their KS2 SATs. Ensure you download both the arithmetic paper and both reasoning papers.
Each KS2 Maths paper contains numerous Year 6 SAT Maths questions. No one paper will cover all the Year 6 Maths topics but with practice, children will gain plenty of valuable experience.
To help children, parents and teachers better understand how to answer KS2 Maths papers, Exam Ninja has provided full worked solutions. We exclusively host full worked solutions for every Maths KS2 SATs paper from 2016 onwards.
Mental Maths Tests
Table of Contents
About KS2 SATs Maths Tests
KS2 Maths SATs papers are part of KS2 SATs, the formal national assessment tests that children take in Year 6, the final year of Key Stage 2.
The KS2 Maths SATs tests are written by the Standards and Testing Agency (STA) and form a major part of the KS2 SATs papers in schools.
Maths KS2 SATs tests are split into three separate papers.
These three papers are:
Paper 1 (Arithmetic)
Paper 2 (Reasoning)
Paper 3 (Reasoning)
The raw scores for the arithmetic and reasoning papers are added together and reported as a scaled score.
Unlike the KS2 English SATs, the KS2 Maths papers are all taken under exam conditions with no teacher assessments.
About KS2 Maths SATs Paper 1 (Arithmetic)
Paper 1 of the KS2 Maths SATs tests is a formal arithmetic test, i.e. every question expects children to perform a mathematical calculation.
Key details for KS2 Maths SATs Paper 1:
The test lasts 30 minutes.
Children are asked a total of 36 questions.
The test is out of a total of 40 marks - 32 questions are worth 1 mark and 4 questions are worth 2 marks.
Each arithmetic question expects children to perform addition, subtraction, multiplication or division with whole numbers, fractions, decimals or percentages.
Questions involving long multiplication or long division are worth 2 marks and children are expected to show their working.
There are no illustrations, charts or sentences describing the questions.
The 2026 KS2 Maths Paper 1 test is scheduled to take place in school on Wednesday 13th May 2026.
What does the KS2 Maths Paper 1 look like?
Key stage 2 Maths paper 1 looks like a typical exam booklet and is 20 pages long.
Paper 1 always contains 36 questions, 32 being worth 1 mark and 4 worth two marks.
Each question offers pupils a grid area for them to perform a written calculation and a blank area in which for students to write their answer.
Questions worth 2 marks have a slightly larger grid area with a prompt to remind pupils to 'Show your method'.
How can I prepare my child for the Arithmetic Paper?
Paper 1 is a true test of children's mathematical arithmetic skills. Children need to be able to perform addition, subtraction, multiplication or division with whole numbers, fractions, decimals or percentages.
The best way to improve these skills is to practice with plenty of practice questions.
Rather than require students sit endless practice papers, targeted practice questions will help improve children's methods, boosting their confidence over time.
Once they're confident in their arithmetic, use past SATs papers.
By using several past SATs papers your child will be able to familiarise themselves with what the papers look and feel like. They will also gain valuable experience in the timings required to finish the paper and the mathematical working they're expected to record.
Download past key stage 2 SATs papers from 2016 onwards as those before 2016 relate to the previous national curriculum. The sample papers made in preparation for 2016 are also suitable.
About KS2 Maths SATs Paper 2 (Reasoning)
Paper 2 of the KS2 Maths SATs tests is a mathematical reasoning paper, i.e. the test will contain plenty of problem solving questions requiring interpretation and calculation.
Key details for KS2 Maths SATs Paper 2:
The test lasts 40 minutes.
Pupils are asked between 20 and 25 questions.
The test is out of a total of 35 marks.
Approximately 12-15 questions are worth 1 mark and 8-12 questions are worth 2 marks or more.
Each question will involve a degree of mathematical reasoning and may also contain illustrations, tables, charts or graphs.
Mathematical topics included within Paper 2 include all those covered throughout key stage 2 including algebra, roman numerals, ratios and more.
The questions will typically get harder and/or longer as children progress through the paper.
The 2026 KS2 Maths Paper 2 test is scheduled to take place on Wednesday 13th May 2026.
What does KS2 Maths Paper 2 look like?
The KS2 SATs Maths test looks like a typical exam booklet and is 24 pages long.
Paper 2 contains approximately 20-25 questions, 12-15 being worth 1 mark and 8-12 worth two marks or more.
Each question may contain one or more illustrations, tables, charts or graphs.
How can I prepare for the KS2 Maths Paper 2? Free SATs Papers!
The best way to prepare children for this paper is with plenty of homework from past Maths SATs papers!
By using several past SATs papers your child will be able to familiarise themselves with what the papers look and feel like.
Each past SATs paper they work through will earn them valuable experience in the timings required to complete the SATs paper and the mathematical working they're expected to show.
Download past key stage 2 SATs papers from 2016 onwards as those before 2016 relate to the previous national curriculum. The sample papers made in preparation for 2016 are also suitable.
About KS2 Maths SATs Paper 3 (Reasoning)
Paper 3 of the key stage 2 Maths SATs tests is much like paper 2 (i.e. mathematical reasoning) but is considered slightly harder to genuinely challenge children.
Key details for KS2 Maths SATs Paper 3:
The test lasts 40 minutes.
The test is out of a total of 35 marks.
Pupils are asked between 20 and 25 questions.
Approximately 6-8 questions are worth 1 mark and 12-14 questions are worth 2 marks or more. I.e. there are more long-form, 2-mark questions than paper 2.
Paper 3 will include numerous questions related to illustrations, tables, charts or graphs.
As with paper 2, the questions will typically get harder and/or longer as children progress through the paper.
The 2026 KS2 Maths Paper 3 test is scheduled to take place on Thursday 14th May 2026.
What does the KS2 Maths Paper 3 look like?
KS2 Maths paper 3 looks like a typical exam booklet and is 24 pages long.
Paper 3 contains approximately 6-8 questions, 12-15 being worth 1 mark and 12-14 worth two marks or more.
Each question may contain one or more illustrations, tables, charts or graphs.
The logic-based questions are particularly challenging, and paper 3 tends to feature several word problems for children to solve.
How can I prepare for the KS2 Maths Paper 3? Free SATs Papers!
As with paper 2, The best way to prepare children for paper 3 is by using plenty of Maths SATs papers.
By using several past SATs papers your child will be able to familiarise themselves with what type of questions arise. They will also gain valuable experience in the timings required to finish the SATs paper and practise the mathematical working they're expected to show.
Download past key stage 2 SATs papers from 2016 onwards as those before 2016 relate to the previous national curriculum. The sample papers made in preparation for 2016 are also suitable.
Where can I find the answers for Maths SATs papers?
The answers for all key stage 2 SATs Maths papers can be found in each year's mark schemes.
As well as the answers, the marking scheme contains notes to help parents and teachers mark children's work correctly.
This is particularly relevant for KS2 Maths as it involves potential 'method marks'. This is where pupils can potentially gain a mark for correct working even if they have not calculated the final answer correctly.
What's the pass mark for KS2 Maths Papers?
To reach the expected standard in the 2022 Key Stage 2 Maths tests, children needed to achieve a combined raw score of 58 out of 110.
Between 2016 and 2022, the average raw score required to achieve the expected standard in Maths is 59 out of 110.
About Mental Maths Tests for Year 6
Until 2015, the Mental Maths KS2 Test was a KS2 SATs paper.
These tests were a unique and popular SATs paper. Children would listen to an audio recording of a teacher asking questions. They would calculate their answer and write it down on a separate answer sheet.
Created in 1999, the Mental Maths Test sought to assess a child's mental arithmetic skills. Back then, children were allowed a calculator in their tests and hence a separate Mental Maths Test was required. However, in 2014 calculators were banned in all KS2 Maths tests. Thus the original purpose of the Year 6 Mental Maths test was largely undermined.
The Mental Maths Test was challenging and forced children to keep to a set timescale. As well as calculations it also tested weights, ratios, comparisons and more - it touched on almost every part of the curriculum.
Unfortunately, the Mental Maths KS2 Test was phased out in 2015. This was as a result of the new national curriculum assessments.
As a result of a review carried out in 2012, it was decided that mental arithmetic should carry greater weight. Now the national curriculum has a far deeper focus on Mental Maths. Indeed, it has been spread across all three KS2 SATs papers.
It's widely thought of as a great shame that the Mental Maths Tests stopped. They were a unique assessment that genuinely engaged children.
We encourage you to continue to use the Mental Maths Tests as they remain challenging and valuable. They're a great Maths workout for children for 15 minutes of intense practise.
