Numbers & divisibility
Large and negative numbers, factors, multiples and powers.
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
The worksheets themselves are in German – just as in class. The editor is only available in German so far.
Secondary school · Grade 6
Maths worksheets for grade 6
29 worksheets and 24 types of task – adjust them for free and print, with an answer sheet if you like.
In grade 6 calculating with fractions is often the main topic: expanding, simplifying, adding, multiplying. Calculating with decimals, negative numbers, first percentages, volume and working with data come along too. When each topic comes depends on the school and the textbook – the levels ★ to ★★★ adapt every worksheet.
Which topics come when differs between the German states, schools and textbooks. The number range and the level can be set on every worksheet.
Worksheets for grade 6
Click the picture to see the worksheet large and print it. “Use” opens it in the editor.
Grade 6 · MixedWeekly plan grade 6Fractions, decimals, negative numbers, angles
Grade 6 · SingleExpanding & simplifying fractionsFill in the missing number
Grade 6 · SingleSimplifying fullyAlso missing denominators, factors up to 9
Grade 6 · SingleFractions with the same denominatorPlus and minus, simplify the answer
Grade 6 · SingleFractions with different denominatorsFirst find the common denominator
Grade 6 · SingleFractions times & divided byFraction times fraction, fraction divided by fraction
Grade 6 · SingleFractions of quantities¾ of 20 kg, ⅖ of €45
Grade 6 · SingleFractions as decimals¾ = 0,75 and back
Grade 6 · SingleOrdering decimalsComparing and moving the decimal comma
Grade 6 · SingleCalculating with decimalsPlus and minus, decimal comma under decimal comma
Grade 6 · SingleDecimals times & divided by3,4 · 7, 0,3 · 0,4, 12,6 : 3
Grade 6 · SingleNegative numbersPlus and minus across zero, −20 to 20
Grade 6 · SingleNegative numbers with brackets5 − (−4), −3 + (−6)
Grade 6 · SingleHCF & LCMHighest common factor, lowest common multiple
Grade 6 · SinglePrime factorsSplitting numbers up to 1,000
Grade 6 · SingleAngles up to 360°Types of angles, measuring and drawing, turned
Grade 6 · SingleTimes tables up to 20: times & divided byTables 11 to 20, also with a missing number
Grade 6 · SingleFirst steps in percentagesHundred square, fraction – decimal – percentage, percentage of
Grade 6 · SingleShapes on a coordinate gridAxes up to 20, parallelograms and trapeziums
Grade 6 · SinglePowersSquare numbers up to 20², finding the exponent
Grade 6 · SingleColumn method with decimalsDecimal comma under decimal comma, 12,5 + 3,75 in squares
Grade 6 · SingleWord problems with decimalsShopping, lengths and weights, one and two steps
Grade 6 · SingleNegative numbers times & divided by−4 · 3, −24 : (−6), from the times tables
Grade 6 · SingleBar charts up to 1,000Reading and drawing surveys in a town
Grade 6 · MixedPuzzle sheetMagic squares up to 1,000 with three numbers, sudoku
Grade 6 · MixedMistake detective: fractions & decimalsFinding and explaining typical mistakes
Grade 6 · SingleUnitary methodCalculating via one item, also backwards, with cents
Grade 6 · MixedProportion, mixedTables, comparing prices, proportional or not?
Grade 6 · MixedExpressions & equationsFinding expressions, equivalent expressions, balance, equations
Secondary school · no school-type filter
Start by topic
From grade 5, order and pace differ. Choose the topic first; the three levels ★, ★★ and ★★★ remain optional in the editor.
Start with “Factors & multiples”
Fractions, decimals & percent
Understand representations, convert and calculate.
- Fractions of shapesGrades 4 to 6
- Calculating with fractionsGrade 6
- DecimalsGrades 5 and 6
- Calculating with decimalsGrades 5 and 6
- PercentagesGrade 6
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
Relations & word problems
Tables, unitary method, scale and everyday problems.
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
Expressions & equations
Use calculation rules, understand expressions and solve equations.
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
Geometry
Explore angles, coordinates, areas and solids.
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
Data & statistics
Read charts and work out statistics such as the mean.
Which level fits?
★★ uses your settings. Turn on levels in the editor to add an easier ★ and a more challenging ★★★ worksheet with the same structure.
Types of task for grade 6
Each type of task has its own page with an example and matching worksheets.
Calculating
- Quick calculationsGrades 1 to 6Lots of short calculations with plus, minus, times and divided by – for quick practice.
- Your own calculationsGrades 1 to 6Type in your own calculations, also with a gap – the Rechenkiste works out the answers.
- Column + −Grades 3 to 6Plus and minus written in columns in squares, with carrying – also with decimals.
- Negative numbersGrade 6Compare whole numbers and calculate with them – also across zero.
- Calculating with fractionsGrade 6Expand and simplify fractions, add, subtract, multiply and divide them, and work out fractions of quantities.
- Calculating with decimalsGrades 5 and 6Add, subtract and multiply decimals and divide them by whole numbers.
- Square numbers & powersGrades 5 and 6Work out square numbers up to 20², powers of two, three and ten, write numbers as powers and find the exponent.
- Mistake detectiveGrades 2 to 6Check other children's calculations: find typical mistakes – a forgotten carry, plus before times, a decimal comma as a separator –, say what went wrong and calculate it correctly.
- Expressions & equationsGrades 5 and 6Calculate with the variable x: find an expression for a situation, recognise equivalent expressions, find x on a balance and solve equations – with a check.
Understanding numbers
- Factors & multiplesGrades 5 and 6Find factors and multiples, use divisibility rules, split numbers into prime factors, find the HCF and LCM.
- Fractions of shapesGrades 4 to 6Read fractions of strips, circles and rectangles and colour them in – in grade 4 with pictures as a start.
- DecimalsGrades 5 and 6Change fractions into decimals and back, compare decimals, multiply and divide them by 10, 100, 1000.
- PercentagesGrade 6A first look at percentages: read and colour them on a hundred square, change fractions, decimals and percentages, find a percentage of an amount.
Measures
Shape & space
- AnglesGrades 5 and 6Recognise types of angles, measure angles with a set square and draw them – printed true to scale.
- CoordinatesGrades 5 and 6Read and plot points on a coordinate grid, join them and name the shape.
- Volume & cuboidsGrades 5 and 6Count the cubes in a cuboid, work out the volume and convert units of volume (cm³, dm³, m³, l, ml).
Data & chance
Word problems
- Word problemsGrades 1 to 6Short stories with a question that is answered with a calculation – from grade 4 also with quantities and decimals.
- ProportionGrades 5 and 6Proportional relationships: complete tables of values, calculate via one item, compare offers by the price per item and check whether a relationship is proportional.