Exploring and noticing

problem
Sticky dice

Age

7 to 11

Challenge level

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?
problem
Compare the calculations

Age

7 to 11

Challenge level

Can you put these four calculations into order of difficulty? How did you decide?
problem
Seeing parallelograms

Age

7 to 11

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
problem
Digit discovery

Age

7 to 11

Challenge level

Here is an interesting property about two sets of digits. Can you work out what the digits might be?
problem
Move those halves

Age

7 to 11

Challenge level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
problem
Centred squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem
Dice stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem
Diagonal in a spiral

Age

7 to 11

Challenge level

Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
problem
Price match

Age

7 to 11

Challenge level

Can you find pairs of differently sized windows that cost the same?
problem
Pouring problem

Age

7 to 11

Challenge level

What do you think is going to happen in this video clip? Are you surprised?