Being resilient

Different combinations of the weights available allow you to make different totals. Which totals can you make?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

What's special about the area of quadrilaterals drawn in a square?

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

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?