Sample Primary Maths Worksheets

Year 1

• Choose and use appropriate number operations to solve problems.
• Solve mathematical puzzles and investigate.
• Investigate general statements.
• Solve simple word problems and explain.
• Problems involving money.

• Count reliably a set of objects. Count on and back in steps of one.
• Read and write numbers in figures and words. Partition into TU.
• Comparing and ordering numbers. More than, less than.
• One or ten more than, or less than, a given number.
• Counting in tens. Odd and even numbers.
• Order a set of familiar numbers.
• Estimation and approximation.
• Recognise simple fractions and equivalence.
• Recognise and find simple fractions.
• Know the number names and recite them.
• Nursery rhymes.

• Describe and extend number sequences. Count on and back.
• Know addition and subtraction facts.
• Add or subtract 9. Use patterns of similar calculations.
• Add or subtract pairs of numbers mentally.
• Derive doubles and halves quickly.

• Understand addition.
• Understand that more than two numbers can be added together.
• Understand subtraction.
• Use knowledge that addition can be done in any order. Identify near doubles.
• Adding or subtracting ten.
• Adding or subtracting crossing the tens.
• Add or subtract a multiple of ten.
• Combining groups of 2, 5 and 10.
• Understand division. Sharing into equal groups.

• Describe and classify 3-D and 2-D shapes according to their properties.
• Make models, shapes and patterns. Describe their features.
• Describe positions and directions.
• Describe movement in a straight line and turning.

• Measure and compare.
• Suggest suitable units to estimate and measure.
• Use simple measuring equipment.
• Understand and read the time.
• Word problems involving measurement.

• Collect, sort and organise information (1).
• Collect, sort and organise information (2).

Year 2

• Choose and use appropriate number operations to solve problems.
• Solve mathematical puzzles and investigate.
• Investigate general statements.
• Solve simple word problems.
• Solve problems involving money.

• Count reliably a set of objects. Count on and back in steps of one.
• Counting in tens. Odd and even numbers.
• Describe and extend number sequences. Count on and back.
• Read and write 2-digit numbers. Partition a number into TU.
• Read and write 3-digit numbers. Partition a number into HTU.
• Comparing and ordering numbers. More than, less than.
• One or ten more than, or less than. Position numbers.
• Order a set of familiar numbers.
• Estimation and approximation.
• Rounding a number to the nearest ten.
• Recognise simple fractions and equivalence.

• Know addition and subtraction facts.
• Derive doubles and halves quickly.
• Multiply and divide mentally.
• Tables 2, 5 and 10 Speed practice sheets.
• Checking answers.

• Understand addition.
• Understand that more than two numbers can be added together.
• Understand subtraction.
• Use knowledge that addition can be done in any order.
• Add or subtract 9/19, 11/21. Use patterns and relationships.
• Add and subtract pairs of numbers mentally.
• Add or subtract multiples of ten.
• Add or subtract: bridge through 10 or 20 etc.
• Understand multiplication.
• Understand division.
• Understanding remainders in division.
• Subtraction as the inverse of addition.

• Describe and classify 3-D and 2-D shapes according to their properties.
• Make shapes and describe their features.
• Recognise line symmetry.
• Describe positions and directions.
• Describe movement in a straight line and turning and understand angle.

• Measure and compare.
• Suggest suitable units to estimate and measure.
• Use measuring equipment. Interpret scales.
• Understand and read the time.
• Word problems involving measurement.

• Collect, sort and organise information.
• Represent data.

Year 3

• Choose and use appropriate number operations to solve problems.
• Solve mathematical puzzles and investigate.
• Investigate general statements.
• Solve word problems and explain how problems were solved.
• Solve problems involving money.
• Solve problems involving measurement.

• Revise counting on and back.
• Counting in tens and hundreds. Odd and even numbers.
• Describe and extend number sequences. Count on and back.
• Read and write numbers. Partition 3-digit numbers.
• Comparing and ordering numbers. More than, less than.
• One, ten or one hundred more than, or less than a given number.
• Order a set of familiar numbers.
• Revise estimation and approximation.
• Rounding a number to the nearest ten or one hundred.
• Further rounding.
• Recognise simple fractions and equivalence.
• Recognise and find simple fractions.

• Know addition and subtraction facts.
• Further addition and subtraction facts.
• Know multiplication facts by heart. Relationship to division.
• Tables 1, 2, 3, 4, 5, 6 and 10 Speed practice sheets.
• Checking answers.

• Revise understanding addition.
• Revise adding more than two numbers.
• Revise understanding subtraction.
• Revise addition skills.
• Add or subtract by adjusting. Use patterns and relationships.
• Add and subtract pairs of numbers mentally.
• Add or subtract multiples of 10 and 100.
• Addition and subtraction continued.
• Develop written methods of addition.
• Develop written methods of subtraction.
• Revise understanding of multiplication.
• Revise understanding of division. Division as the inverse of multiplication.
• Understand remainders. Rounding after division.
• Strategies for multiplication and division.
• Multiply and divide by 10, 100. Doubling and halving.
• Find unit fractions of numbers or quantities.

• Describe and classify 3-D and 2-D shapes according to their properties.
• Make shapes and describe their features.
• Recognise line symmetry.
• Describe position and direction.
• Describe movement in a straight line and turning and understand angle.

• Measure and compare. Know relationships between units.
• Choose and use suitable units to estimate and measure.
• Use measuring equipment. Interpret scales.
• Understand and read the time.

• Collect, sort and organise data.
• Use bar charts, tally charts, bar graphs and pictograms.
• Use Venn and Carroll diagrams.

Year 4

• Choose appropriate number operations and methods of calculating.
• Explain methods and reasoning about numbers.
• Solve problems, recognise patterns, generalise and predict.
• Make and investigate general statements about numbers and shapes.
• Solve one and two step word problems.
• Solve problems involving money.
• Solve problems involving length, mass or capacity.
• Solve problems involving time.
• Choose appropriate methods of calculating, including calculators.

• Read and write whole numbers. Partition into ThHTU.
• Add or subtract 1, 10, 100 or 1000.
• Revise vocabulary for comparing and ordering numbers.
• Recognise and order negative numbers.
• Extend number sequences by counting on and back.
• Use fraction notation and recognise equivalent fractions.
• Use decimal notation. Order decimal fractions.
• Decimal fractions.
• Recognise equivalence between decimals and fractions.
• Solve problems concerning ratio and proportion.

• Use knowledge of addition, subtraction and place value.
• Use known number facts and place value to add or subtract.
• More multiplication facts. More doubling and halving.
• Recognise odd and even numbers. Multiples and tests of divisibility.
• Use known number facts to multiply and divide mentally.
• Multiplication tables. All tables up to 10 x 10. Speed practice sheets.
• Identify pairs of fractions that total 1.
• Revise checking results of calculations.

• Revise addition and its relationship to subtraction.
• Revise subtraction and its relationship to addition.
• Add or subtract the nearest multiple of 10 and adjust.
• Use relationships between addition and subtraction: adding several numbers.
• Refine and use efficient written methods of addition.
• Refine and use efficient written methods of subtraction.
• Multiply and divide by 10, 100 and 1000.
• Revise division and its relationship to subtraction and multiplication.
• Understand remainders. Relate fractions to division.
• Develop and refine written methods for multiplication.
• Develop and refine written methods for division.
• Develop calculator skills.
• Find fractions of numbers or quantities.

• Visualise, describe and classify 3-D and 2-D shapes.
• Visualise 3-D objects and make nets of common solids.
• Reflective symmetry in 2-D shapes. Reflections and translations.
• Recognise position and directions and use co-ordinates.
• Make turns; estimate, draw and measure angles.

• Standard metric units of measurement.
• Units to estimate or measure length, mass or capacity.
• Suggest suitable measuring equipment and record estimates and readings.
• Measure and calculate the perimeter and area of simple shapes.
• Vocabulary of time. Estimate and measuring time.
• Read the time from clocks, calendars and timetables.

• Collect, sort and organise data. Use tables, graphs and charts (1).
• Collect, sort and organise data. Use tables, graphs and charts (2).

Year 5

• Choose and use appropriate calculation strategies.
• Solve real life problems.
• Solve problems involving money.
• Solve problems involving length, mass or capacity.
• Solve problems involving time.
• Tests of divisibility. Multiples.
• Solve problems, recognise patterns, generalise and predict.
• Make and investigate general statements about numbers and shapes.

• Read and write whole numbers. Partition into ThHTU.
• Revise multiplying and dividing by 10 and 100.
• Revise comparing and ordering numbers.
• Revise estimating and approximating.
• Revise rounding numbers.
• Recognise and order negative numbers.
• Extend number sequences. Counting on and back.
• Recognise equivalent fractions. Order fractions.
• Solve problems concerning ratio and proportion.
• Use decimal notation. Order decimal fractions.
• Round decimals. Equivalence between decimals and fractions.
• Understand percentages.

• Know, with rapid recall, addition and subtraction facts.
• Use known number facts to add or subtract pairs of numbers mentally.
• Double and halve.
• Use knowledge of tables to calculate mentally.
• Multiply and divide by 10 and 100 and further doubling and halving.
• Square numbers, prime numbers, factors and multiples.
• Checking results of calculations.

• Revise understanding addition.
• Revise understanding subtraction.
• Use mental calculation strategies.
• Use relationships between addition and subtraction: adding several numbers.
• Use efficient written methods of addition.
• Use efficient written methods of subtraction.
• Revise understanding multiplication.
• Revise understanding division.
• Doubling and halving. Use factors.
• Develop and refine written methods for multiplication.
• Develop and refine written methods for division.
• Multiply and divide by 10, 100 and 1000.
• Use a calculator.
• Find fractions of numbers or quantities.
• Find percentages of numbers or quantities.

• Visualise, describe and classify 3-D and 2-D shapes.
• Make shapes and patterns with increasing accuracy.
• More shapes and nets.
• Recognise positions and directions and use co-ordinates.
• Reflective symmetry in 2-D shapes. Reflections and translations.
• Estimate, draw and measure angles.

• Standard metric units of measurement.
• Units to estimate or measure length, mass or capacity.
• Read scales, record estimates and measure.
• Measure and calculate the perimeter and area of simple shapes.
• Vocabulary of time. Estimating and measuring time.
• Using the 24-hour clock to read time and timetables.

• Use the language of chance or likelihood.
• Collect and organise data. Use tables, graphs and charts.
• Further data handling. Use median and mode.

Year 6

• Solve problems involving real life.
• Solve problems involving length, mass or capacity.
• Solve problems involving time.
• More time problems.
• Choose appropriate number operations and methods of calculating.
• Explain methods and reasoning.
• Solve problems, recognise patterns, generalise and predict.
• Make and investigate general statements about numbers and shapes.
• Extend number sequences.
• Solve problems involving money

• Revise rounding whole numbers.
• Revise estimating and approximating.
• Recognise and order negative numbers.
• Use fraction notation and recognise equivalent fractions. Order fractions.
• Use decimal notation. Order decimal fractions.
• Round decimals. Equivalence between decimals and fractions.
• Percentages as fractions of 100. Equivalence of percentages, fractions and decimals.
• Ratio and proportion problems

• Revise multiplication and square numbers.
• Revise doubling and halving. Using factors.
• Use known facts to multiply mentally.
• Use known number facts to multiply and divide decimals.
• Square numbers, prime numbers and identifying factors.
• Square and cube numbers, square roots and prime factors.
• Multiples and tests of divisibility.
• Checking results of calculations.
• Extension: Conventions for working out expressions. (Bodmas).

• Revise addition.
• Revise subtraction.
• Add or subtract decimals to the nearest whole one and adjust.
• Use relationships between addition and subtraction and adding several numbers.
• Using known number facts and place value to add or subtract pairs of numbers mentally.
• Use known number facts to add or subtract decimals.
• Use efficient written methods of addition.
• Use efficient written methods of subtraction.
• Revise multiplication.
• Revise division.
• Understand remainders. Round up or down after division.
• Use efficient written methods of multiplication.
• Use efficient written methods of division.
• Find fractions of numbers or quantities.
• Develop calculator skills.

• Visualise, describe and classify 3-D and 2-D shapes.
• Reflective symmetry in 2-D shapes. Reflections and translations.
• Use co-ordinates and extend to 4 quadrants.
• Estimate, draw and measure angles.

• Use standard metric units and convert between units.
• Units to estimate or measure length, mass or capacity.
• Read scales, record estimates and measure.
• Measure and calculate the perimeter and area of simple shapes.
• Measure and calculate the circumference of circles.

• Describe and predict outcomes using the language of chance or likelihood.
• Collect and organise data. Use tables, graphs and charts.
• Further data handling.

• KS2 Mental arithmetic test A.
• KS2 Mental arithmetic test B.
• KS2 NCT Practice Paper 1.
• KS2 NCT Practice Paper 2.
• KS2 NCT Practice Paper 3.
• KS2 NCT Practice Paper 4.

• Number.
• Time.
• Shape.
• Graphs and tables.

• Missing digits: Non-calculator level 3 to 4
• Missing digits: Calculator level 3 to 4
• Calculation: Non-calculator level 3 to 4
• Calculation: Calculator level 3 to 4
• Shopping: Non-calculator level 3 to 4
• Shopping: Calculator level 3 to 4

Four rules

• Addition: whole numbers.
• Addition with decimals.

• Subtraction: whole numbers.
• Subtraction with decimals.

• Multiply 2-digit numbers by 1-digit numbers.
• Multiply 2-digit numbers with 1-decimal place by 1-digit numbers.
• Multiply 2-digit numbers by 2-digit numbers.
• Multiply 2-digit numbers with 1 decimal place by 2-digit numbers.
• Tables 2, 5 and 10 Speed practice sheets.
• Tables 1, 2, 3, 4, 5, 6 and 10 Speed practice sheets.
• Multiplication tables. All tables up to 10 x 10. Speed practice sheets.

• Divide 2-digit numbers by 1-digit numbers.
• Divide numbers with 1 or 2 decimal places by 1-digit numbers.
• Divide 3-digit numbers by 2-digit numbers.

Mental

• Teacher Guidance.
• Year 1 Foundation.
• Year 1 Autumn term.
• Year 1 Spring term.
• Year 1 Summer term.

• Year 2 Autumn term.
• Year 2 Spring term.
• Year 2 Summer term.

• Year 3 Autumn term.
• Year 3 Spring term.
• Year 3 Summer term.

• Year 4 Autumn term.
• Year 4 Spring term.
• Year 4 Summer term.

• Year 5 Autumn term.
• Year 5 Spring term.
• Year 5 Summer term.

• Year 6 Autumn term.
• Year 6 Summer term.
• Year 6 Spring term

Investigate

• 19 miles: How many ways can three runners cover 19 miles"e;
• Terrific Twenty: Making whole numbers up to 20.
• 5 digit addition: Investigating numbers using five digits.
• Crazy addition: 0-9 cards to make addition sums.
• Add 1 to 4: Making addition sums using the digits 1 to 4.
• Bull"e;s Eye: Throw darts to make different scores.
• Consecutive numbers: Investigate consecutive numbers on a 3x3 board.
• Hexagon addition: Find totals through a hexagonal shape.
• Only three: Making number plates for cars.
• Six out: Match pairs of numbers that have a difference of six.
• Subtract pairs: Investigate subtraction in a hexagon.
• Under 30: Multiply 3 digits to make totals under 30.
• Up and down: Make rows total the same as columns.

• Three make one: Find three fractions that total a given fraction.
• The answer is 0: Investigate sums with the answer zero.
• The answer is 10: Investigate sums with the answer ten.
• Calculator fractions: Finding fractions for recurring decimals.
• Consecutive products: Products of consecutive numbers in sequences.
• Dotty patterns: Sequences produced by building patterns of dots.
• Factors: Factors of numbers, prime and composite numbers.
• Four fours: Make numbers using four fours.
• Halves: Summing the series: ½ + ¼
• Many make one: Making a fraction by totalling a number of other fractions.
• Modulo arithmetic: Modulo arithmetic.
• Multiplication square: Investigating patterns in the multiplication square.
• 1 to 4: Making other numbers using the digits 1, 2, 3 and 4.
• Palindromic numbers: Finding palindromic numbers by reversing digits.
• Primes from squares: Primes that can be written as the sum of two squares"e;
• Products: Investigating products of the first three digits.
• Six columns: Investigating numbers written as six columns.
• Triangle numbers: Investigating situations in which triangle numbers arise.

• Multilink shapes: Use 24 cubes to make shapes.
• Caterpillar: How many ways can food pass through a caterpillar"e;
• Halving: Halving a bar of chocolate.
• Lines and rectangles: Making rectangles from different numbers of lines.
• Routes: Find different ways of getting from home to school.
• Straw shapes: Make rectangles from a variety of straws.
• Tessellation squares: Tessellate shapes by cutting and sliding.
• Tricky triangles: Use four equilateral triangles to make shapes.

• 60 centimetre cuboids: Investigate cuboids with a perimeter of 60 cm.
• Colouring maps: Four colour map problem.
• Cubes: Painting faces of cubes and slicing.
• Equilateral matchsticks: Patterns made from equilateral triangles.
• Exterior and interior angles of polygons: Find relationships between angles.
• Farmer's field: Find maximum and minimum areas given a fixed perimeter.
• Networks: Investigating shapes without taking the pencil off the paper.
• Pentominoes: How many ways can 5 squares be arranged"e;
• Snooker table: Investigating a ball bouncing at 45 degrees.
• Tessellations: Tessellating polygons.

• 10p change: Different ways of receiving 10p change.
• Penny sweets: What can you buy with 6p"e;
• 3 coins: Given three coins, what totals are possible"e;
• £6 model: Possible ways of paying £6.
• Coins: What coins can be used to make varying amounts of money"e;

• Body parts: data collection, organisation and manipulation.
• Codes: Using data collected about frequency of letter use to solve codes.
• Necklace: How many ways can 6 beads be coloured"e;
• Odd 13: Placing counters on a board so that rows and columns are odd.
• Roll-a-penny: Probability investigation about rolling a penny between lines.
• Two dice: Probability investigation about possible scores when two dice are thrown.

• Dimensions.
• Alien dimensions.
• Survey.
• Planets.
• How to use this data.

Puzzles

• Year 1 length word search.
• Year 1 numbers to ten word search (1).
• Year 1 numbers to ten word search (2).
• Year 1 ordering/place value word search.
• Year 1 number positions word search.
• Year 1 shapes word search.
• Year 2 measures word search.
• Year 2 months of the year word search.
• Year 2 numbers word search.
• Year 2 two times table word search.
• Year 2 five times table word search.
• Year 2 ten times table number search.
• Year 3 three times table number search.
• Year 3 four times table word search.
• Year 3 data word search.
• Year 3 make 10 number search.
• Year 3 calculate word search.
• Year 3 2-D shape word search.
• Year 4 six times table word search.
• Year 4 data word snake.
• Year 4 make 12 number search.
• Year 4 measure word snake.
• Year 4 position word search.
• Year 4 shape word search.
• Year 5 seven times table number search.
• Year 5 fractions word search.
• Year 5 make 20 number search.
• Year 5 number system word search.
• Year 5 probability word snake.
• Year 5 shape word snake.
• Year 6 calculator word snake.
• Year 6 data word snake.
• Year 6 make 24 number search.
• Year 6 measure word search.
• Year 6 shape word search.
• Year 6 time word search.

• Easy sudoku puzzles.
• Medium sudoku puzzles.
• Hard sudoku puzzles.
• Fiendish sudoku puzzles.

• Three hexagon.
• Four star.
• Seven line.
• Fifteen up.
• Thirty one.
• Thirty up.
• Criss cross three: subtraction.
• Spirals.
• Deadly red.
• Balloon twos.
• Pig.
• Never touch.
• Nim.
• Make 42.
• Hex.
• Diving board.
• Cross the bridge.
• Square boxes.
• Multiplication bingo.
• Co-ordinate bingo.
• Dice bingo
• Criss cross three: addition.

• 12 to 15 squares.
• Four lines.
• Seven up.
• Anagrams.
• A square triangle.
• Balloon bursting.
• Bishop's move.
• Calculator words.
• Loose change.
• Code breaker.
• Counter reflection.
• Digit detector.
• Dizzy digits.
• Dress Addy.
• Food for thought.
• Funky 15.
• Head over tails.
• Initial numbers.
• The largest number.
• Add up to 20.
• It all adds up to nothing.
• Not three in a line.
• Triangular terror.
• 20 golden rings.
• Ten tents.
• Highest total.
• Christmas tree.
• Tricky twenty triangle.

• Matchstick puzzle 1: the cherry in the glass.
• Matchstick puzzle 2: six nil.
• Matchstick puzzle 3: pens for pigs.
• Matchstick puzzle 4: six three.
• Matchstick puzzle 5: only two.
• Matchstick puzzle 6: leave 6.
• Matchstick puzzle 7: seven up.
• Matchstick puzzle 8: leave 3.
• Matchstick puzzle 9: four triangles.
• Matchstick puzzle 10: make 9.
• Matchstick puzzle 11: four squares.
• Matchstick puzzle 12: six/nine squares.

• Magicmaths: the answer is 15 (easier magic).
• Magicmaths: the answer is 3 (easier magic).
• Magicmaths: the answer is 8 (easier magic).
• Magicmaths: granny's age.
• Magicmaths: 1089.
• Magicmaths: take away.
• Magicmaths: the answer is 37.
• Magicmaths: amazing addition.
• Magicmaths: dice dynamics.
• Magicmaths: fool all the people.
• Magicmaths: out of a hat.
• Magicmaths: think of a number.
• Magicmaths: square numbers.

Support

• Dictionary for pupils 5-12.
• Dictionary for teaching assistants.

• Gold certificate for achievement.
• Silver certificate for achievement.
• Bronze certificate for achievement.
• Certificate for effort.
• Certificate for tables.

• Primary Framework for Mathematics and age groups.
• Page referencing/numbering for year groups.
• List of modules