Walking in the Mountains
Heidi and Peter pass two signs which say how far their destination is. How long will it take them to get there?
Heidi and Peter pass two signs which say how far their destination is. How long will it take them to get there?
Each digit of a positive integer is 1, 2 or 3, and each of these occurs at least twice. What is the smallest such integer that is not divisible by 2 or 3?
When coins are put into piles of six 3 remain and in piles of eight 7 remain. How many remain when they are put into piles of 24?
Weekly Problem 23 - 2010
These numbers have been written as percentages. Can you work out which has the greatest value?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?
Weekly Problem 53 - 2012
ABCDEFGHI is a regular nine-sided polygon (called a 'nonagon' or 'enneagon'). What is the size of the angle FAE ?