The worksheets themselves are in German – just as in class. The editor is only available in German so far.
All types of task
68 types of task in the seven subjects of the Rechenkiste. Each one comes as a single worksheet or as a task on a mixed worksheet – with an answer sheet and at three levels.
Rather by skill: By skill
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.
- Doubling & halvingGrades 1 and 2Double and halve numbers, e.g. 7 → 14 and 16 → 8.
- Making up numbersGrades 1 to 3Find the missing number up to the target, e.g. 7 + _ = 10 or 63 + _ = 100.
- Fact familiesGrades 1 to 3Three numbers make swapped and inverse calculations, e.g. 3 + 4 = 7 and 7 − 4 = 3.
- Calculation wheelsGrades 2 and 3A wheel with a number in the middle: each inner number is multiplied by it.
- Calculation chainsGrades 1 to 4Calculate step by step from a starting number.
- Number wallsGrades 1 to 4Two neighbouring bricks add up to the brick above them.
- Calculation trianglesGrades 1 to 4Two fields inside add up to the number on the edge.
- Times table gridGrades 2 and 3A small grid where times-table answers are filled in.
- Grid methodGrades 3 and 4Split big multiplications into tens and ones and work them out in a grid.
- Column + −Grades 3 to 6Plus and minus written in columns in squares, with carrying – also with decimals.
- Long × and ÷Grades 3 to 5Multiplying and dividing written in columns in squares – from grade 5 also with three-digit factors and two-digit divisors.
- Order of operationsGrades 4 and 5Work out expressions with times and divide before plus and minus, and with brackets, e.g. (12 + 8) · 3.
- 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.
- Empty number lineGrades 2 and 3Calculating in jumps on an empty number line.
- Sets of calculationsGrades 1 to 4Calculations with a pattern: work them out, discover the pattern and write down what you notice – also continue a set or find the one that does not fit.
- Calculating in stepsGrades 2 to 4Calculate step by step: first the hundreds, then the tens, then the ones – with the answers in between.
- 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.
- EstimatingGrades 4 and 5First estimate with rounded numbers, then calculate exactly – or use the estimate to see which answer can be right.
- Picture sumsGrade 1Write the calculation for the picture: counters are added or taken away – arranged in fives.
- 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.
- Methods of calculatingGrades 2 to 4Calculating in steps with a clever mind: compare and name other children's methods, fill in the steps in between and tick the methods that suit a calculation.
Understanding numbers
- Number housesGrades 1 and 2Split a roof number into two numbers, e.g. 10 = 7 + 3.
- ComparingGrades 1 to 4Compare numbers or calculations and fill in <, > or =.
- Neighbouring numbersGrades 1 to 3Find the number before and after, later the neighbouring tens.
- Number sequencesGrades 1 to 4Spot the rule of a sequence of numbers and continue it.
- Place value chartGrades 2 to 5Split numbers into hundreds, tens and ones – and back, from grade 5 up to a billion.
- 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.
- Twenty frame & hundred squareGrades 1 and 2Count and draw dots in a twenty frame or a hundred square.
- Number lineGrades 1 to 4Find numbers on the number line and write them in.
- Rounding & estimatingGrades 3 to 5Round numbers and estimate answers.
- Roman numeralsGrade 5Read and write Roman numerals – with IV, IX, XL and the other symbols that are subtracted.
- 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.
- Writing digitsGrade 1Each digit shown first, in grey to trace and then written freely in boxes – in school handwriting.
- Dice patternsGrade 1Recognise the dots on a dice at a glance, without counting – and add up two or three dice.
Measures
- Telling the timeGrades 2 and 3Read the time on a clock with hands or draw the hands – also in words and with times of day.
- Time spansGrades 3 to 5How long does something take? Work out the start, the length and the end.
- MoneyGrades 1 to 3Count coins and notes, pay the exact amount and work out the change.
- Lengths & weightsGrades 2 to 6Convert lengths, weights, capacities and, from grade 5, units of area, e.g. 1 m = 100 cm or 1 m² = 100 dm².
- CalendarGrades 2 and 3Questions about a monthly calendar: days of the week, dates, gaps between them.
- ScaleGrades 5 and 6Use the scale to calculate from the map to real life and back – and work out the scale yourself.
Shape & space
- ReflectionGrades 1 to 5Reflect a shape in a mirror line on squared paper.
- Counting shapesGrades 1 and 2Count circles, triangles and quadrilaterals in a picture.
- Cube buildingsGrades 2 to 4Count the cubes in a building or write its building plan.
- Cube netsGrades 3 to 5Find out whether six squares can be folded into a cube.
- Area & perimeterGrades 3 to 5Work out the area and perimeter of shapes on squared paper.
- AnglesGrades 5 and 6Recognise types of angles, measure angles with a set square and draw them – printed true to scale.
- Continuing patternsGrades 1 and 2Spot a pattern of shapes and continue it.
- 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).
- PositionGrade 1Above, below, left and right: what is next to the star? The children draw the right shape.
Data & chance
- Tally chartsGrades 1 to 3Count with tally marks, in bundles of five.
- Bar chartsGrades 2 to 6Read values from a bar chart or draw the bars.
- ChanceGrades 2 to 4Is something certain, possible or impossible? With balls, dice and spinners.
- CombinationsGrades 2 to 4Find all the possibilities, e.g. how many towers you can build from three blocks.
- Working with dataGrades 5 and 6Find the mean, the largest and smallest value and the range of a set of data.
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.
Puzzles
- Magic squaresGrades 2 to 6Every row, every column and both diagonals add up to the same magic number – find the missing numbers.
- Number sudokuGrades 1 to 6Every number appears exactly once in each row, each column and each box – solvable step by step.
- Magic trianglesGrades 1 to 4Put the numbers 1 to 6 (or 1 to 9) in the circles so that every side has the same total.
- Symbol puzzlesGrades 1 to 4Each symbol stands for a number: the first row gives the first number, and that leads to the next.