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Fractions and Percentages Card Game

Age 11 to 16
Challenge Level Yellow star
Secondary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Chris described a method for finding the percentages as amounts of money:

To find out a percentage out of a number you can divide the number by $100$ or $10.$ [Say] you divide the percentage by $10.$ After that you find out what the number divided by $10$ and the percentage by $10$ and you times it.
Eg. $40\%$ of $ £11.20,$ $11.20\div10 = 1.12.$
You divide $40$ by $10$ which equals $4.$
$1.12x4= £4.48.$ Therefore  $40\%$ of $ £11.20$ equals $ £4.48$


Mark from International School of the Hague described a method for the fractions:

First I figured out what the fractioned numbers were by converting them to decimals. I did this by converting the denominators to a hundred. Then I [multiplied] the decimals by the currency that was on the same card and then I had different currencies that were equal to each other. I selected these and finished.
 

Sienna from Greenacre Public School in Australia described a way to speed up the matching:

However, there is a way to make to make this process faster. For example, $25\%$ of $4,$ you could assume that it would be less than a half of it. This would make the other options much more limited.
 

Erik from International School of the Hague described another way to speed up the matching:

The easiest way of doing this exercise is doing the easiest ones first. Also, you really need to know your fractions of a number, and percentages of a number really well for this exercise. If you do the easiest ones first, you have less space so you can find the answers to the harder ones easier, and if you leave the hardest flashcard to the last, you will automatically know the answer.

 

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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