The worksheets themselves are in German – just as in class. The editor is only available in German so far.
Calculating · typical for Grades 1 to 3
Fact families – worksheets to print
Three numbers make swapped and inverse calculations, e.g. 3 + 4 = 7 and 7 − 4 = 3.
- Choose the number of tasks and the difficulty yourself
- With an answer sheet and, if you like, a QR code to the answers
- At three levels (★ to ★★★) and as group A and B
- As a single worksheet or as a task on a mixed worksheet
Fact families: explained simply
Three related numbers form a fact family. Knowing one calculation helps you work out the others.
How to work it out
- In addition and multiplication, swapping the two numbers leaves the answer unchanged.
- An addition fact gives subtraction facts; a multiplication fact gives division facts.
An example, step by step
Make the fact family for 3, 4 and 7.
- The addition fact is 3 + 4 = 7. Swap the numbers: 4 + 3 = 7.
- Take one part away from the total: 7 − 3 = 4.
- Take the other part away: 7 − 4 = 3.
Understand other variations
Multiplication and division
For 3, 4 and 12: 3 · 4 = 12, 4 · 3 = 12, 12 : 3 = 4 and 12 : 4 = 3. In swap-and-inverse tasks, enter the particular facts requested.
Your turn
Which four multiplication and division facts belong to 2, 5 and 10?
Show the answer and method
2 · 5 = 10; 5 · 2 = 10; 10 : 2 = 5; 10 : 5 = 2.
Ready-made worksheets: Fact families
Click the picture to see the worksheet large and print it. “Use” opens it in the editor.