The worksheets themselves are in German – just as in class. The editor is only available in German so far.

Data & chance · typical for Grades 2 to 4

Chance – worksheets to print

Is something certain, possible or impossible? With balls, dice and spinners.

  • 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
This is how it looks on the worksheet – with new numbers every time.
Understand & practise together

Chance: explained simply

Think about which outcomes can occur in a chance experiment and which are more likely.

How to work it out

  • Certain: it happens for every possible outcome. Impossible: it cannot happen. Possible: it can happen, but need not.
  • When individual outcomes are equally likely, an event is more likely if more outcomes match it.

An example, step by step

You roll an ordinary die numbered 1 to 6.

  1. Rolling a 7 is impossible: there is no 7.
  2. Rolling a number from 1 to 6 is certain.
  3. Rolling a 6 is possible, but not certain.

Understand other variations

Compare likelihoods

On a fair die, 2, 4 and 6 are even: three matching outcomes. “A 6” has just one. An even number is therefore more likely. For equal-sized spinner sectors, count matching sectors; for otherwise identical balls, count matching balls.

Your turn

A bag contains only blue balls. Is drawing a blue ball certain, possible or impossible?

Show the answer and method

Certain, because every ball in the bag is blue.

Ready-made worksheets: Chance

Click the picture to see the worksheet large and print it. “Use” opens it in the editor.

Grade 3 · MixedChance & combinationsCertain, possible, impossible, and finding all the possibilities
Use
Grade 4 · MixedProbabilityWhat is more likely? Combinations for puzzlers
Use

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