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Profile numeracy objectives Year 6
Number, Place Value and Rounding
  • read,write, orderandcompare numbersupto 10 000 000 and determine the value ofeach digit
  • round anywhole numberto arequired degree ofaccuracy
  • use negative numbers in context,and calculate intervals acrosszero
  • solve numberproblemsand practical problemsthat involve all ofthe above.
Addition, Subtraction, Multiplication and Division
  • multiplymulti-digitnumbersup to4 digitsbya two-digit whole numberusing the efficientwritten method oflong multiplication
  • divide numbersup to4 digitsbya two-digitwhole number using the efficientwritten method oflong division,and interpretremaindersaswhole numberremainders,fractions, orbyrounding,asappropriate for the context
  • perform mental calculations,including with mixed operations and large numbers
  • identifycommon factors,common multiplesand prime numbers.
  • use common factors to simplify fractions; use common multiples to express fractions in the same denomination
  • compare and order fractions, including fractions > 1
  • associate a fraction with division to calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8 )
  • add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
  • multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. 1/4  × 1/2 = 1/8 )
  • divide proper fractions by whole numbers (e.g. 1/3  ÷ 2 = 1/6 ).
Decimals and Fractions
  • identifythe value ofeach digitto three decimal placesand multiplyand divide numbersby10,100 and 1000 where the answersare up to three decimal places
  • multiplyone-digitnumberswith up to two decimal placesby whole numbers
  • use written division methodsin caseswhere the answerhas up to two decimal places
  • solve problemswhich require answersto berounded to specifieddegreesofaccuracy.
Percentages, Decimals and Fractions
  • solve problemsinvolving the calculation ofpercentagesof whole numbersormeasuressuch as15%of360 and the use ofpercentagesforcomparison
  • recall anduse equivalencesbetween simplefractions, decimalsand percentages,including in differentcontexts.
Ratio and Proportion
  • solve problemsinvolving the relative sizesoftwo quantities, including similarity
  • solve problemsinvolving unequalsharing and grouping.
  • expressmissing numberproblemsalgebraically
  • use simple formulae expressed inwords
  • generate and describe linearnumbersequences
  • find pairsofnumbers thatsatisfy numbersentences involving two unknowns.
  • solve problemsinvolving the calculation andconversionof unitsofmeasure,using decimal notation to three decimal placeswhere appropriate
  • use,read, write and convertbetween standard units, converting measurementsoflength,mass,volume and time fromasmallerunitofmeasure toa largerunit,and vice versa,using decimal notationto three decimal places
  • convertbetween milesand kilometres
  • recognise thatshapeswith the same areascan have differentperimetersand vice versa
  • calculate the area ofparallelogramsand triangles
  • recognisewhen itisnecessaryto use the formulae forarea and volume ofshapes
  • calculate,estimate and comparevolume ofcubesand cuboidsusing standard units,including centimetre cubed (cm3)and cubicmetres(m3)andextending to otherunits, such asmm3  andkm3.
Geometry:properties ofshapes
  • recognise,describe and build simple 3-D shapes,including making nets
  • compare and classifygeometricshapesbased on their propertiesand sizesand find unknown anglesin any triangles,quadrilaterals,and regularpolygons
  • illustrate and name partsof circles,including radius, diameterand circumference
  • find unknown angleswhere theymeetat apoint,are on a straightline,and are verticallyopposite.
Geometry:position, direction, motion
  • describe positionsonthe full coordinate grid(all four quadrants)
  • draw and translate simple shapeson the coordinate plane, and reflect themin theaxes.
  • interpretand construct pie charts and line graphsand use these to solve problems
  • calculate and interpretthe meanasan average.