In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.
There are lots of different methods to find out what the shapes are worth - how many can you find?
Use these four dominoes to make a square that has the same number of dots on each side.
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 beat the computer in the challenging strategy game?
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?