This collection of tasks is part of the activities for 14-16 year olds section of the Maths At Home feature. The activities below all include an online interactivity where you can test your ideas and make discoveries. The stars represent the challenge level, with three stars indicating the most challenging activities.
You may also wish to explore Interactive Games and Puzzles for 11-14 year olds, and Videos and Interactive Problems for 16-18 year olds.
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Nine colours
Finding factors
Can you find the hidden factors which multiply together to produce each quadratic expression?
Which spinners?