The worksheets themselves are in German – just as in class. The editor is only available in German so far.
Proportion – worksheets to print
Proportional relationships: complete tables of values, calculate via one item, compare offers by the price per item and check whether a relationship is proportional.
- 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
Proportion: explained simply
In a proportional relationship, two quantities change in the same ratio. For example, twice as many items cost twice as much when the unit price stays fixed.
How to work it out
- The value for one unit stays constant. Find it by dividing total value by quantity.
- Go from the known quantity to one unit, then to the requested quantity. In a table, change both matching values by the same factor.
An example, step by step
3 notebooks cost €6. How much do 5 identical notebooks cost?
- Work back to one notebook: €6 : 3 = €2.
- Scale up to five: €2 · 5 = €10.
- 5 notebooks cost €10. The unit price stays €2.
Understand other variations
Compare prices
Pack A: 4 items for €6, or €1.50 each. Pack B: 6 items for €8.40, or €1.40 each. B is cheaper per item.
Is it proportional?
A taxi fare with a fixed starting charge is not proportional to distance: twice the distance does not mean twice the total fare. Check whether the value per unit really stays constant.
Your turn
2 kg of apples cost €5. How much do 3 kg cost at the same price per kilogram?
Show the answer and method
1 kg costs €5 : 2 = €2.50. So 3 kg cost 3 · €2.50 = €7.50.
Ready-made worksheets: Proportion
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