Almost Constant Digits
How many 10-digit numbers containing only 1s, 2s and 3s can you write?
How many 10-digit numbers containing only 1s, 2s and 3s can you write?
Simple models which help us to investigate how epidemics grow and die out.
I'd be very surprised if I had three children all with the same birthday, but I read in the paper that it happened to one family...
Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
Can you prove the angle properties described by some of the circle theorems?
Can you find a strategy that ensures you get to take the last biscuit in this game?
A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?
Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?