You may also like

problem icon

Matching Fractions Decimals Percentages

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

problem icon


The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

problem icon

Spiralling Decimals

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Recurring Mean

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

The mean is $(1.\dot{2}+2.\dot{1})/2=3.\dot{3}/2=1.\dot{6}$.

Alternatively, you can convert into fractions, to get the answer of $1\frac{2}{3}$, which is the same as $1.\dot{6}$.

This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem