BrainTwister #27: Dancing decimals

Can you solve this week’s logic puzzle? Plus our quick quiz and the answer to last week’s problem

3 July 2024

#27 Dancing decimals

Set by Mary Ellis

1/3 can be written as 0.33333… (with a string of 3s going on forever) and 4/9 can be written as 0.44444… . We call these recurring decimals.

Use a calculator to see what 1/11, 2/11 and 3/11 are as decimals. Can you predict what 7/11 and 10/11 will be?

There is a different type of pattern in the sevenths: calculate 1/7 and 2/7, then try to predict what 3/7, 4/7, 5/7 and 6/7 will be.

Can you also find any patterns in the multiples of 1/13? (It is similar to the sevenths, but…

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