The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Can you find ways to put numbers in the overlaps so the rings have equal totals?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
