problem
The Clockmaker's Birthday Cake
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?
Think of any whole number. Each time you perform a sequence of operations on it, what do you notice about the divisors of your answer?
Just because a problem is impossible doesn't mean it's difficult...
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was thinking of.