Or search by topic
This collection of tasks is part of the activities for 16-18 year olds section of the Maths At Home feature. All you need to get started is a pencil and paper! The stars represent the challenge level, with three stars indicating the most challenging activities.
You may also wish to explore Just Jottings for 14-16 year olds.
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
If a sum invested gains 10% each year how long before it has doubled its value?
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
What is the same and what is different about these circle questions? What connections can you make?
Can you find the area of the central part of this shape? Can you do it in more than one way?