Year 5 maths: all topics and free practice | Math Magic Land

Math Magic Land

Number

Decimals to thousandthsFind the value of each digit in a decimal, Find the value of a digit in the thousandths place, Know that 10 thousandths make 1 hundredth15 skills Large numbers and Roman numeralsWrite numbers up to a million from words, Read and write large numbers with zeros in them, Count on and back in 10 000s and 100 000s13 skills Rounding numbers and decimalsFind the two whole numbers a decimal is between, Round decimals to the nearest whole number, Round decimals to one decimal place11 skills Square, cube and triangular numbersRecognise square numbers up to 100, Use the squared sign to write square numbers, Find the number that was squared13 skills Factors, multiples and divisibilityFind all the factors of a number in pairs, Find factor pairs from rectangle arrays, Count how many factors a number has11 skills Prime numbersTell prime numbers from composite numbers, Recall the prime numbers up to 19, Find a factor that shows a number is not prime7 skills

Calculation

Negative numbersOrder and compare negative numbers, Read negative numbers on scales with steps of 2, 5 or 10, Use negative numbers for floors, sea level and freezers9 skills Adding and subtracting large numbersAdd and subtract multiples of 1000 in your head, Add 5-digit numbers in columns, Add numbers with up to 6 digits in columns13 skills Money and word problemsAdd and subtract amounts in baht and satang, Work out change after buying several things, Use a bar model to solve a large-number problem7 skills Multiplying and dividing in your headRecall times table facts up to 12 × 12, Use a times fact to multiply by multiples of 10 and 100, Use a times fact to divide multiples of 10 and 10011 skills Written multiplicationEstimate a product by rounding, Multiply a 3-digit number by a 1-digit number, Multiply a 4-digit number by a 1-digit number12 skills Dividing by a 1-digit numberEstimate a quotient using multiples of 10, Divide multiples of 10 by a multiple of 10, Divide numbers up to 1000 by a 1-digit number9 skills Times as many and word problemsWrite a times as many statement as a multiplication, Tell times as many from how many more, Read a multiplication as times as many11 skills Brackets and order of operationsChange the order or grouping to calculate easily, Spot calculations that give the same answer, Multiply in parts using the distributive law13 skills

Fractions, decimals and percentages

Decimals as fractionsWrite tenths as decimals and decimals as tenths, Write hundredths as decimals and decimals as hundredths, Add tenths and hundredths as fractions7 skills Multiply and divide by 10, 100 and 1000Multiply and divide whole numbers by 10, 100 and 1000, Multiply and divide by 10 and 100 with decimals, Divide whole numbers by 10 and 100 into decimals5 skills Adding and subtracting decimalsAdd and subtract decimals with one decimal place, Add and subtract tenths across a whole number, Estimate decimal sums and differences by rounding14 skills Sharing and fractions of amountsWrite a division as a fraction, Write division answers as mixed numbers, Share things equally with fraction answers10 skills Equivalent fractions and mixed numbersFind a missing number in equivalent fractions, Find equal fractions with tenths and hundredths, Find the fraction that is not equivalent7 skills Comparing and ordering fractionsCompare fractions with one half, Compare fractions with the same numerator, Compare fractions with related denominators6 skills Adding and subtracting fractionsWrite a fraction as a sum of unit fractions, Split a fraction into sums in different ways, Add and subtract fractions with the same denominator16 skills Multiplying and dividing fractionsMultiply a unit fraction by a whole number, Link multiplying fractions to repeated addition, Multiply a non-unit fraction by a whole number12 skills Multiplying decimalsMultiply tenths by a 1-digit number, Multiply hundredths by a 1-digit number, Estimate a decimal product by rounding13 skills Fractions, decimals and percentagesRead and find percentages out of 100, Find the missing percentage to make 100%, Write percentages as fractions out of 10013 skills

Shape and space

Triangles and polygonsName triangles by their sides and angles, Name triangles from their side lengths, Name triangles as right-angled, acute or obtuse10 skills AnglesName types of angle and know turns in degrees, Turn 90°, 180° or 270° on a compass, Choose the right protractor scale to read9 skills 3D shapes and netsRecognise and describe cubes and cuboids, Find equal faces and edges on a cuboid, Match solids to their top, front and side views10 skills Symmetry and reflectionFind lines of symmetry in triangles and shapes, Match triangle types to their lines of symmetry, Count lines of symmetry in regular polygons8 skills Coordinates and translationRead and plot coordinates, Spot mistakes when reading coordinates, Use coordinates to find places on a map8 skills

Measure, time and money

Metric units and scalesChoose a sensible metric unit and estimate, Convert between kilometres and metres, Convert between metres and centimetres9 skills Perimeter and areaFind the perimeter of a regular polygon, Find one side from a regular polygon perimeter, Find perimeters and missing sides of triangles13 skills Volume of cuboidsFind volume by counting centimetre cubes, Find the volume of a cuboid layer by layer, Find the volume of a cuboid by multiplying5 skills Durations, timetables and time zonesCompare times in seconds and tenths of a second, Write durations in hours and minutes or seconds, Find time intervals that cross the hour10 skills

Patterns, algebra and ratio

Ratio and proportionWrite a ratio using for every and the : sign, Read a ratio the right way round, Write a proportion as a fraction or percentage12 skills Number sequencesContinue sequences, including through zero, Continue falling sequences into negative numbers, Continue sequences with decimal steps11 skills Sequence rules and growing patternsFind any term of a sequence using multiplication, Find the rule from position to term, Find where a term is in a sequence6 skills Missing numbers and symbolsFind the number a symbol stands for, Solve picture puzzles where fruits stand for numbers, Find two unknown numbers shown by symbols9 skills Formulae and function machinesUse a rule in words to find a value, Match a situation to its formula, Find outputs from a function machine5 skills

Data and chance

Mode and medianFind the mode of a set of data, Find the mode from tally charts and bar charts, Order data and find the median7 skills Tables, charts and types of dataRead bar charts and tables, Read bars that end between scale marks, Read and complete two-way tables14 skills Line graphsRead line graphs, including between points, Solve sum and difference problems from line graphs, Compare two lines on the same line graph5 skills Chance and probabilityDescribe how likely an event is, Compare how likely outcomes are, Spot and make equally likely outcomes12 skills

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