Study Hub
Year 5 Maths Study Guides
Every lesson below links to a pupil-friendly study guide with key notes, vocabulary, common mistakes, and quick questions with answers.
Angles: compare, name, estimate and measure angles
- Angles in quadrilaterals Study Guide
- Angles in triangles Study Guide
- Describe rotations using the standard unit of degrees when compared to a right angle Study Guide
- Describe static angles using the standard unit of degrees when compared to a right angle Study Guide
- Draw angles accurately using a protractor Study Guide
- Estimate acute and obtuse angles using the standard unit of degrees Study Guide
- Know that the angles at a point sum to 360 degrees and use this to solve problems Study Guide
- Know that the angles in a full turn sum to 360 degrees and use this to solve problems Study Guide
- Know that the angles on a straight line sum to 180 degrees and use this to solve problems Study Guide
- Measure the size of angles accurately using a protractor Study Guide
- Reasoning about angles in polygons Study Guide
- Review understanding and identification of right angles Study Guide
- Review understanding of angles as a measure of turn Study Guide
- Use the terms acute, obtuse and reflex when comparing angles to a right angle Study Guide
- Use the unit of degrees as a standard unit to measure angles Study Guide
Calculating with decimal fractions
- Converting units of length Study Guide
- Converting units of mass and capacity Study Guide
- Divide decimal fractions by 1-digit numbers Study Guide
- Divide decimal fractions by 1-digit numbers using written methods Study Guide
- Explain how to multiply and divide a number by 10, 100 and 1,000 Study Guide
- Multiply 1-digit numbers by decimal fractions using written methods Study Guide
- Multiply 1-digit numbers by decimals Study Guide
- Multiply hundredths by whole numbers Study Guide
- Multiply tenths by whole numbers Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1 Study Guide
- Predicting the size of a product Study Guide
- Solve measures problems using knowledge of multiplying decimal fractions Study Guide
- The relationship between multiplying by 0.01 and dividing by 100 Study Guide
- The relationship between multiplying by 0.1 and dividing by 10 Study Guide
Compare and describe measurements using knowledge of multiplication and division
- Compare and describe lengths using knowledge of division Study Guide
- Compare and describe lengths using knowledge of multiplication Study Guide
- Compare and describe measurements involving mass and capacity Study Guide
- Compare and describe measurements involving time and money Study Guide
- Describe changes in measurement using knowledge of multiplication and division Study Guide
- Solve comparison and change problems in a range of contexts Study Guide
- Solve comparison and change problems using division Study Guide
- Solve comparison and change problems using multiplication Study Guide
- Solve problems involving comparison and change Study Guide
- Use knowledge of multiplication and division to solve comparison and change problems Study Guide
Comparing fractions using equivalence and decimals
- Explain and represent how to divide 1 into different numbers of equal parts Study Guide
- Explain the relationship between numerators and denominators across equivalent fractions Study Guide
- Explain the relationship between numerators and denominators in equivalent fractions Study Guide
- Explain the relationship within families of equivalent fractions Study Guide
- Identify and describe patterns in the number system Study Guide
- Recall common fraction-decimal equivalents Study Guide
- Solve problems using fraction-decimal equivalents Study Guide
- Use knowledge of common equivalents to compare fractions and decimals Study Guide
- Use representations to describe and compare fractions Study Guide
- Use representations to describe and compare two fractions Study Guide
- Use representations to describe and compare two fractions in a continuous context Study Guide
- Use the language of equivalent fractions correctly Study Guide
- Use the relationship between the numerator and denominator in equivalent fractions to solve problems Study Guide
- Use the relationship between the numerator and denominator to simplify fractions Study Guide
- Use understanding of equivalent fractions to solve problems Study Guide
Compose and calculate with decimals including column addition and subtraction
- Explain that decimal numbers with tenths can be composed additively Study Guide
- Explain that decimal numbers with tenths can be composed multiplicatively Study Guide
- Use knowledge of column addition and subtraction to calculate with decimal numbers Study Guide
- Use known facts and mental strategies to calculate with decimal numbers within and across a whole Study Guide
- Use representations to round a decimal number with tenths to the nearest whole number Study Guide
Converting units
- Convert between miles and kilometres and pounds and Euro Study Guide
- Convert from larger to smaller units of measure Study Guide
- Convert from smaller to larger units of measure Study Guide
- Convert to and from fraction and decimal quantities of larger units Study Guide
- Solve problems involving converting between units of time Study Guide
- Solve problems involving converting units in different contexts Study Guide
- Solve problems involving different units of measure Study Guide
- Understand approximate equivalence between metric and imperial units Study Guide
- Use known facts to carry out conversions that correspond to 10 and 100 parts Study Guide
- Use known facts to derive common conversions over 1 Study Guide
Division by partitioning leading to short division (2 and 3-digits by 1-digit)
- Divide a 2-digit by a 1-digit number using partitioning (with regrouping) Study Guide
- Divide a 2-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 2-digit by a 1-digit number using representations with exchanging and remainders Study Guide
- Divide a 2-digit by a 1-digit number using short division (no regrouping ) Study Guide
- Divide a 2-digit by a 1-digit number using short division (with regrouping) Study Guide
- Divide a 2-digit number using short division (with regrouping and remainders) Study Guide
- Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 3-digit by a 1-digit number using short division Study Guide
- Divide a 3-digit number using partitioning and representations (one regroup) Study Guide
- Divide using partitioning and representations (multiple regroups and remainder) Study Guide
- Divide using short division with regrouping and remainders Study Guide
- Solve problems involving multiplication and division Study Guide
- Solve problems involving multiplication and division in a range of contexts Study Guide
- Use efficient division strategies to solve problems Study Guide
- Use short division when the hundreds digit is smaller than the divisor Study Guide
Find unit and non-unit fractions of whole numbers exploring parts and wholes
- Explain how dividing by a whole number relates to multiplying by a unit fraction Study Guide
- Explain how finding a fraction of a quantity relates to multiplying by a unit fraction Study Guide
- Explain when a calculation represents scaling down and when it represents repeated addition Study Guide
- Find a non-unit fraction of a quantity using mental and written calculation strategies Study Guide
- Find a unit fraction of a quantity using representations Study Guide
- Find a unit fraction when the size of a non-unit fraction is known Study Guide
- Find the whole when the size of a non-unit fraction is known Study Guide
- Find the whole when the size of a unit fraction is known Study Guide
- Multiply a whole number by a proper fraction Study Guide
- Use knowledge of multiplying a whole number by a unit fraction to solve problems Study Guide
Link area of rectangles to multiplication
- Calculate missing dimensions in rectangles and compound rectilinear shapes Study Guide
- Calculate the area of compound rectilinear shapes Study Guide
- Calculate the area of shapes made from 2 or more rectangles Study Guide
- Calculate the area of shapes made from 2 rectangles by decomposing the shape in different ways Study Guide
- Calculate the areas of rectangles using multiplication Study Guide
- Choose an efficient way to decompose a compound shape to calculate the area Study Guide
- Explain how to calculate the area of a rectangle using multiplication Study Guide
- Measure the area of flat shapes using square centimetres Study Guide
- Measure the area of flat shapes using square metres Study Guide
- Use knowledge of area to solve problems in a range of contexts Study Guide
Multiplication by partitioning leading to short multiplication (2 by 1-digit)
- Estimate and multiply a 2-digit by a 1-digit number using expanded and short multiplication Study Guide
- Multiply a 2-digit number by a 1-digit number using expanded multiplication (no regroups) Study Guide
- Multiply a 2-digit number by a 1-digit number using expanded multiplication (regrouping 10s to 100s) Study Guide
- Multiply a 2-digit number by a 1-digit number using expanded multiplication (regrouping 1s to 10s) Study Guide
- Multiply a 2-digit number by a 1-digit number using partitioning Study Guide
- Multiply a 2-digit number by a 1-digit number using partitioning and representations (one regroup) Study Guide
- Multiply a 2-digit number by a 1-digit number using partitioning and representations (two regroups) Study Guide
- Multiply a 2-digit number by a 1-digit number using short multiplication (no regroups) Study Guide
- Multiply a 2-digit number by a 1-digit number using short multiplication (regrouping 10s to 100s) Study Guide
- Multiply a 2-digit number by a 1-digit number using short multiplication (regrouping 1s to 10s) Study Guide
Multiplication by partitioning leading to short multiplication (3 by 1-digit)
- Multiply a 3-digit by a 1-digit number using partitioning Study Guide
- Multiply a 3-digit by a 1-digit number with multiple regroups Study Guide
- Multiply a 3-digit by a 1-digit number with no regroups Study Guide
- Multiply a 3-digit by a 1-digit number with one or two regroups Study Guide
- Use estimation to support accurate calculation Study Guide
Multiply 3 or more numbers (commutative and associative laws)
- Apply commutative and associative laws to simplify multiplications Study Guide
- Apply the commutative and associative laws to simplify problems in a range of contexts Study Guide
- Apply the commutative and associative laws to simplify volume calculations Study Guide
- Explain the reasons for changing two-factor multiplication calculations to three-factor calculations Study Guide
- Explain the use of the commutative and associative laws when multiplying three or more numbers Study Guide
Multiply a proper fraction by a whole number
- Explain the relationship between repeated addition of fractions and multiplication of fractions Study Guide
- Explain the relationship between repeated addition of unit fractions and multiplication of fractions Study Guide
- Multiply a proper fraction by a whole number where the product is greater than a whole Study Guide
- Multiply a proper fraction by a whole number where the product is within a whole Study Guide
- Solve problems involving multiplying proper fractions by whole numbers Study Guide
Multiply improper fractions and mixed numbers by a whole number
- Multiply a mixed number by a whole number bridging a whole Study Guide
- Multiply a mixed number by a whole number not bridging a whole Study Guide
- Represent and multiply an improper fraction by a whole number. Study Guide
- Solve problems involving fractions and mixed numbers Study Guide
- Solve problems involving multiplication of mixed numbers by a whole number Study Guide
Negative numbers
- Explain how negative numbers are used on a coordinate grid Study Guide
- Explain how the value of a number relates to its position from zero Study Guide
- Identify and place negative numbers on a number line Study Guide
- Interpret numbers greater than and less than zero in different contexts Study Guide
- Interpret sets of negative and positive numbers in a range of contexts Study Guide
- Read and write negative numbers Study Guide
- Represent a change story using addition and subtraction symbols Study Guide
- Solve problems involving positive and negative numbers in a range of contexts Study Guide
- Use knowledge of positive and negative numbers to calculate intervals Study Guide
- Use knowledge of positive and negative numbers to interpret graphs Study Guide
Understand and use the concept of factorisation (square and prime numbers)
- Explain how to find all the factors of a number systematically Study Guide
- Explain how to identify a prime factor of a number Study Guide
- Explain how to identify a prime number or a composite number Study Guide
- Explain what a factor is and use arrays and multiplication and division facts to find them Study Guide
- Use a complete list of factors to explain when a number is a square number Study Guide
Understand hundredths as parts of a whole and represent
- Compare and order decimal numbers with hundredths Study Guide
- Describe and represent hundredths as a decimal number Study Guide
- Describe and write decimal numbers with hundredths in different ways Study Guide
- Explain that decimal numbers with hundredths can be partitioned in different ways Study Guide
- Identify hundredths as part of a whole Study Guide
Understand tenths as part of a whole, represent and calculate mentally
Understand the concept of area
- Explain how to compare the area of different shapes Study Guide
- Explain how to make different shapes with the same area Study Guide
- Explain what area is Study Guide
- Measure area using counting with squares as a strategy Study Guide
- Solve problems involving counting and drawing the areas of different shapes Study Guide
Understand the concept of volume
- Describe the units used to measure volume Study Guide
- Explain how to calculate the volume of a cuboid and a cube Study Guide
- Explain how to calculate the volume of compound shapes Study Guide
- Explain what volume is in a range of contexts Study Guide
- Use knowledge of calculating volume to solve problems in a range of contexts Study Guide
Use common factors and multiples to solve calculations efficiently
- Explain how to identify a common multiple of two or more numbers Study Guide
- Explain how to identify common factors between two or more numbers Study Guide
- Explain how to use the factor pairs of 100 to solve calculations efficiently Study Guide
- Use knowledge of properties of number to solve problems Study Guide
- Use properties of numbers and the commutative and associative laws to simplify calculations Study Guide
Use knowledge of decimals to solve problems in different contexts: length
- Compare and order numbers with up to 3 decimal places Study Guide
- Explain that different lengths can be composed additively and multiplicatively Study Guide
- Read and write numbers with up to 3 decimal places Study Guide
- Round a decimal number with hundredths to the nearest tenth Study Guide
- Round a decimal number with hundredths to the nearest whole number Study Guide
- Solve problems with numbers with up to 3 decimal places Study Guide
- Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths Study Guide
- Use knowledge of decimal place value to convert between and compare metres and centimetres Study Guide
- Use knowledge of decimal place value to solve problems in different contexts Study Guide
- Use knowledge of place value to calculate with decimal numbers up to and bridging one tenth Study Guide