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.
problem
Why 24?
Age
14 to 16
Challenge level
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.
problem
Dating made easier
Age
14 to 16
Challenge level
If a sum invested gains 10% each year how long before it has
doubled its value?
problem
Root hunter
Age
16 to 18
Challenge level
In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.
problem
Curved square
Age
16 to 18
Challenge level
Can you find the area of the central part of this shape? Can you do it in more than one way?
problem
Partly circles
Age
14 to 16
Challenge level
What is the same and what is different about these circle questions? What connections can you make?