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.
game
Favourite
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
game
Favourite
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
problem
Favourite
Charlie's delightful machine
Age
11 to 16
Challenge level
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
problem
Favourite
Nine colours
Age
11 to 16
Challenge level
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
problem
Favourite
Finding factors
Age
14 to 16
Challenge level
Can you find the hidden factors which multiply together to produce each quadratic expression?
problem
Favourite
Which spinners?
Age
14 to 18
Challenge level
Can you work out which spinners were used to generate the frequency charts?