Year 7 Being resourceful

problem
On the edge

Age

11 to 14

Challenge level

If you move the tiles around, can you make squares with different coloured edges?
problem
Litov's mean value theorem

Age

11 to 14

Challenge level

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
$Countdown fractions$

problem
Countdown fractions

Age

11 to 16

Challenge level

Here is a chance to play a fractions version of the classic Countdown Game.
problem
Statistical shorts

Age

11 to 16

Challenge level

Can you decide whether these short statistical statements are always, sometimes or never true?
problem
Searching for mean(ing)

Age

11 to 16

Challenge level

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?