Search
problem
More Dicey Decisions
16 to 18
The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
problem
Favourite
Fa Cup
16 to 18
In four years 2001 to 2004 Arsenal have been drawn against Chelsea
in the FA cup and have beaten Chelsea every time. What was the
probability of this? Lots of fractions in the calculations!
problem
Favourite
Odd Differences
14 to 16
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
problem
Favourite
In a Box
14 to 16
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
problem
Hallway Borders
11 to 14
What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?
problem
Linked Chains
7 to 11
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
problem
Favourite
Are You Well Balanced?
5 to 7
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
problem
Favourite
Roman Numerals
7 to 11
Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
problem
Favourite
Pouring Problem
7 to 11
What do you think is going to happen in this video clip? Are you surprised?