Study Hub
Year 4 Maths Study Guides
Every lesson below links to a pupil-friendly study guide with key notes, vocabulary, common mistakes, and quick questions with answers.
7 times table: odd and even patterns, square numbers and tests of divisibility
- Explain the relationship between adjacent multiples of seven Study Guide
- Identify and use square numbers to solve problems Study Guide
- Identify patterns of odd and even numbers in the times tables Study Guide
- Represent a square number Study Guide
- Represent counting in sevens as the 7 times table Study Guide
- Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems Study Guide
- Use divisibility rules for 3, 4, 6 and 8 times tables to solve problems Study Guide
- Use knowledge of the 7 times table to solve problems Study Guide
- Use known facts from the 2, 5 and 6 times tables to solve problems involving the 7 times table Study Guide
- Use patterns of odd and even numbers in the times tables to solve problems Study Guide
Addition and subtraction of fractions and mixed numbers (within a whole)
- Efficiently solve addition problems (within a whole) Study Guide
- Efficiently solve subtraction problems (within a whole) Study Guide
- Express a quantity as a mixed number and an improper fraction Study Guide
- Express an amount of fifths as a mixed number and an improper fraction. Study Guide
- Express an amount of quarters as a mixed number and an improper fraction. Study Guide
Apply the distributive law to multiplication
- Use knowledge of the distributive law to calculate products beyond known times tables Study Guide
- Use knowledge of the distributive law to calculate products using known times tables Study Guide
- Use knowledge of the distributive law to solve further two-part problems Study Guide
- Use knowledge of the distributive law to solve problems in different contexts Study Guide
- Use knowledge of the distributive law to solve two part problems Study Guide
Calculation and conversion of measures
- Partitioning 1,000 and 2,000 in the context of measures Study Guide
- Partitioning 1,000 in the context of measures Study Guide
- Use efficient strategies and common measure conversions to solve problems in a range of contexts Study Guide
- Use knowledge of 1,000 to explain common measure conversions Study Guide
- Use knowledge of measure conversions to interpret graphs and tables Study Guide
Column addition and subtraction with 4-digit numbers
- Add up to 3 four-digit numbers using column addition Study Guide
- Explain how many '100s' and '200s', 1,000 is composed of Study Guide
- Explain how many '500s' and '250s', 1,000 is composed of Study Guide
- Pupils use strategies to make solving calculations more efficient Study Guide
- Subtract 4-digit numbers using column subtraction Study Guide
Compare and order mixed numbers and position on a number line
- Compare and order mixed numbers using fraction sense Study Guide
- Compare mixed numbers when the denominators of fractional parts are different Study Guide
- Compare mixed numbers when the numerators of fractional parts are different Study Guide
- Estimate the position of a number on a number line using fraction sense Study Guide
- Identify numbers on marked but unlabelled number lines Study Guide
Comparing, ordering and rounding 4-digit numbers
- Compare and order 4-digit numbers Study Guide
- Explain what rounding is and round a 4-digit number to the nearest thousand Study Guide
- Round a 4-digit number to the nearest hundred and ten Study Guide
- Round a 4-digit number to the nearest thousand, hundred and ten Study Guide
- Use place value and number facts to decompose 4-digit numbers in different ways Study Guide
Composition of fractions greater than one
Convert improper fractions to mixed numbers and vice versa
- Convert a number of fifths from an improper fraction to mixed number Study Guide
- Convert a number of quarters from an improper fraction to a mixed number Study Guide
- Explain how a mixed number is converted into an improper fraction Study Guide
- Explain how an improper fraction is converted into a mixed number Study Guide
- Solve problems involving converting between mixed numbers and improper fractions Study Guide
Coordinates
- Complete polygons with missing coordinates Study Guide
- Describe translations of polygons drawn on a square grid Study Guide
- Draw polygons specified by coordinates in the first quadrant Study Guide
- Draw polygons specified by translations Study Guide
- Give directions from one position to another on a grid Study Guide
- Mark the position of points specified by coordinates in the first quadrant of a coordinate grid Study Guide
- Move objects including polygons on a grid according to directions and mark the new position Study Guide
- Solve problems involving marking and translating points in the first quadrant on a coordinate grid Study Guide
- Translate polygons in the first quadrant Study Guide
- Write coordinates for already marked points in the first quadrant of a coordinate grid Study Guide
Division with remainders
- Decide what to do with the answer to a division calculation to solve a problem Study Guide
- Explain how the remainder relates to the divisor in a division equation Study Guide
- Identify when there will be a remainder Study Guide
- Represent division by grouping with multiplication and addition equations Study Guide
- Represent division by sharing with equations Study Guide
- Solve division problems involving grouping, including those with remainders Study Guide
- Solve division problems involving sharing, including those with remainders Study Guide
- Use knowledge of division equations and remainders to solve problems Study Guide
- Use knowledge of division to solve problems Study Guide
- Use multiplication facts to answer division questions Study Guide
Efficient strategies for adding and subtracting mixed numbers (crossing a whole)
- Add mixed numbers crossing the whole Study Guide
- Choose efficient approaches when subtracting mixed numbers Study Guide
- Solve problems involving addition and subtraction of mixed numbers Study Guide
- Subtract a mixed number from a mixed number Study Guide
- Subtract a proper fraction from a mixed number crossing the whole Study Guide
Money: apply efficient strategies when calculating with money
- Calculate change when purchasing several items Study Guide
- Convert quantities of money between pounds and pence Study Guide
- Explain and represent whole pounds and pence as a quantity of money Study Guide
- Explain and represent whole pounds as a quantity of money Study Guide
- Explain how to compare amounts of money without converting Study Guide
- Solve a range of problems, including finding change Study Guide
- Use and explain the most efficient strategies when adding quantities of money Study Guide
- Use and explain the most efficient strategies when subtracting quantities of money Study Guide
- Use knowledge of addition to add commonly used prices efficiently Study Guide
- Use knowledge of subtraction to calculate change when paying with whole pounds or notes Study Guide
Perimeter
- Calculate the side length of a regular polygon by division where the perimeter is known Study Guide
- Know that a regular polygon has sides that are the same length and angles that are the same size Study Guide
- Know that perimeter can be calculated by adding together the side lengths of a 2D shape Study Guide
- Know that perimeter is measured in units of length and can be found by counting or measuring units Study Guide
- Know that the perimeter is the distance around a 2D shape Study Guide
- Know that the perimeter of a rectangle can be calculated by addition and multiplication Study Guide
- Know that unknown side lengths can be calculated from the perimeter and known side lengths Study Guide
- Solve problems involving the perimeter and side lengths of polygons Study Guide
- Understand that different shapes can have the same perimeter Study Guide
- Understand that the perimeter of a regular polygon can be calculated by multiplication Study Guide
Properties of 2D and 3D shapes and symmetry
- Complete a symmetrical pattern Study Guide
- Diagonal lines of symmetry Study Guide
- Explore symmetry by joining two identical shapes Study Guide
- Explore, sort and classify triangles Study Guide
- Find lines of symmetry in 2D shapes Study Guide
- Identify different types of triangle Study Guide
- Investigate lines of symmetry in 2D shapes by folding Study Guide
- Investigate symmetry and symmetrical patterns Study Guide
- Reflect polygons in a line of symmetry Study Guide
- Reflect polygons that are dissected by the line of symmetry Study Guide
Relationship between the 3 and 6 times tables and tests of divisibility
- Explain the relationship between multiples of three and six Study Guide
- Use divisibility rules for multiples of 6 Study Guide
- Use knowledge of the 3 and 6 times tables to solve problems Study Guide
- Use knowledge of the relationships between the 3 and 6 times tables to solve problems Study Guide
- Use the divisibility rules to find multiples of 3 Study Guide
Relationship between the 3 and 9 times tables
- Explain the relationship between multiples of three and multiples of nine Study Guide
- Explain the relationship between pairs of 3 and 9 times table facts that have the same product Study Guide
- Solve problems involving the 3, 6 and 9 times tables Study Guide
- Solve problems using divisibility rules for divisors of 3, 6 and 9 Study Guide
- Solve problems using the relationship between 3 and 9 times table Study Guide
Represent counting in nines as the 9 times table
- Explain the relationship between adjacent multiples of nine Study Guide
- Represent counting in nines as the 9 times table Study Guide
- Solve problems involving adjacent multiples of nine Study Guide
- Use knowledge of the 9 times table to solve problems Study Guide
- Use known facts from the 10 times table to solve problems involving the 9 times table Study Guide
Represent counting in threes and sixes as the 3 and 6 times tables
- Explain the relationship between adjacent multiples of six Study Guide
- Explain the relationship between adjacent multiples of three Study Guide
- Represent counting in sixes as the 6 times table Study Guide
- Represent counting in threes as the 3 times table Study Guide
- Solve problems involving multiples of 6 Study Guide
Review of column addition and subtraction
- Decide on the most efficient subtraction strategy, including column subtraction Study Guide
- Review adding 2-digit numbers using column addition without regrouping Study Guide
- Review adding 3-digit numbers using column addition without regrouping Study Guide
- Review and use knowledge of place value to correctly lay out column addition Study Guide
- Review column addition and identify the addends and sum Study Guide
- Review identifying the minuend and subtrahend in column subtraction Study Guide
- Review using column addition to add 2- and 3-digit numbers by regrouping ones Study Guide
- Review using column addition to add 2- and 3-digit numbers by regrouping tens Study Guide
- Review using column addition with regrouping in the ones and tens columns Study Guide
- Review using column subtraction to subtract without regrouping Study Guide
- Review using column subtraction with regrouping from hundreds to tens Study Guide
- Review using column subtraction with regrouping from tens to ones Study Guide
- Review using known facts and strategies to accurately and efficiently use and check column addition Study Guide
- Use column addition to solve problems in different contexts Study Guide
- Use knowledge of column addition to solve problems in a range of contexts Study Guide
Review of fractions
- Identifying the number of equal or unequal parts in a whole Study Guide
- Review constructing a whole when given a part and the number of parts Study Guide
- Review explaining the size of the part in relation to the whole Study Guide
- Secure identifying a whole and the parts that make it up Study Guide
- Secure identifying equal parts when they do not look the same Study Guide
Secure place value to 1000: apply to addition and subtraction: multiples of 100
- Explain how many hundreds, tens and ones 1,000 is composed of Study Guide
- Use addition and subtraction strategies to solve problems with multiples of 100 Study Guide
- Use different strategies to add multiples of 100 Study Guide
- Use different strategies to subtract multiples of 100 Study Guide
- Use place value to compose numbers up to 2,000 using hundreds, tens and ones Study Guide
Time: Convert between 12 and 24 hour clocks: analogue and digital
- Convert between times given in 12 and 24 hours Study Guide
- Convert from days to weeks and months to years Study Guide
- Convert from hours to minutes and minutes to seconds Study Guide
- Read the time on a 12 and 24 hour digital clock Study Guide
- Solve problems involving writing, telling and converting the time Study Guide
Understand and represent multiplicative structures
- Explain how each part of a multiplication and division equation relates to a story Study Guide
- Explain what each factor represents in a multiplication equation Study Guide
- Explain where zero can be part of a multiplication or division expression and the impact it has Study Guide
- Explain which is the most efficient factor to partition to solve a multiplication problem Study Guide
- Partition one of the factors in a multiplication equation using representations Study Guide
Understand what happens when a number is multiplied or divided by 10 and 100
- Explain how making a factor 10 times the size affects the product Study Guide
- Explain how making a factor 100 times the size affects the product Study Guide
- Explain how making the dividend 10 times the size affects the quotient Study Guide
- Explain how making the dividend 100 times the size affects the quotient Study Guide
- Explain the relationship between multiplying a number by 10 and multiples of 10 Study Guide
- Explain the relationship between multiplying a number by 100 and multiples of 100 Study Guide
- Explain the removal of placeholders when dividing whole numbers by 100 Study Guide
- Explain the use of placeholders when multiplying whole numbers by 100 Study Guide
- Scale division facts derived from multiplication facts by 100 Study Guide
- Scale known multiplication facts by 100 Study Guide
- Understand that dividing a number by 10 makes it one-tenth times the size Study Guide
- Understand that multiplying by 10 makes a number ten times the size Study Guide
- Use knowledge of the composition of 100 to multiply and divide by 100 in different ways Study Guide
- Use place value to explain placing a zero after the final digit when we multiply whole numbers by 10 Study Guide
- Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10 Study Guide