Exercise statistics

27 task types · 44 exercises in grade 3 - distribution across the number ranges.

Helps decide whether a type appears too often or too rarely.

Distribution as a table

Rows are task types, columns are number ranges. A dot (·) means 0.

Task typeSlotbis 10Σ
Break apart1/422
Calculation (± gemischt)1/433
Compare1/411
Crossing ten [zehnernachbarn]1/422
Crossing ten [zehneruebergang]1/411
Division1/411
Estimate1/411
Even & Odd1/411
Find the error1/422
Inverse1/222
Magic square1/411
Multiply1/411
Muster (Zahlenfolge)1/422
Neighbor numbers1/211
Number line1/233
Order numbers1/411
Place pattern·11
Rechenquadrat (2×2)1/411
Riddle1/211
Rounding1/422
Semi-written1/211
Swap1/411
Table1/433
Wall1/222
Word problems1/222
Written +1/233
Written −1/222
Pages·0
Did-you-know boxes (+10 outside)·0
Total4444

Total count per task type

Sorted by frequency - the longest bar is the most common type.

Calculation (± gemischt)3Table3Number line3Written +3Wall2Inverse2Find the error2Word problems2Break apart2Muster (Zahlenfolge)2Crossing ten [zehnernachbarn]2Rounding2Written −2Crossing ten [zehneruebergang]1Multiply1Swap1Division1Magic square1Rechenquadrat (2×2)1Place pattern1Neighbor numbers1Compare1Order numbers1Riddle1Even & Odd1Semi-written1Estimate1

Distribution per number range

Pie charts show how the task types are distributed across the number ranges.

bis 10 - 44 exercises
Calculation (± gemischt)3 (7%)Table3 (7%)Number line3 (7%)Written +3 (7%)Wall2 (5%)Inverse2 (5%)Find the error2 (5%)Word problems2 (5%)Break apart2 (5%)Muster (Zahlenfolge)2 (5%)Crossing ten [zehnernachbarn]2 (5%)Rounding2 (5%)Written −2 (5%)Crossing ten [zehneruebergang]1 (2%)Multiply1 (2%)Swap1 (2%)Division1 (2%)Magic square1 (2%)Rechenquadrat (2×2)1 (2%)Place pattern1 (2%)Neighbor numbers1 (2%)Compare1 (2%)Order numbers1 (2%)Riddle1 (2%)Even & Odd1 (2%)Semi-written1 (2%)Estimate1 (2%)

Fixed exercise count per type

Some task types have a fixed prescribed number of exercises per section (slot standardization). One number means: the same everywhere; x/y/z means: different per number range (column order as above).

Task typeFixed?Count
Break apartYes10
Calculation (± gemischt)Yes8,12
CompareNo·
Crossing ten [zehnernachbarn]Yes8
Crossing ten [zehneruebergang]Yes4
DivisionYes12
EstimateYes6
Even & OddYes1
Find the errorYes8
InverseYes9
Magic squareNo·
MultiplyYes4
Muster (Zahlenfolge)Yes8
Neighbor numbersYes8
Number lineYes6
Order numbersYes4
Place patternNo·
Rechenquadrat (2×2)Yes10
RiddleYes4
RoundingYes8
Semi-writtenYes6
SwapYes8
TableYes3
WallNo·
Word problemsYes5
Written +Yes6,9
Written −Yes6,9