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problem

Voting paradox

14 to 18

Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?

problem

Tricky track

7 to 11

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

problem

Alien counting

7 to 11

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

problem

Favourite

Loch Ness

16 to 18

Draw graphs of the sine and modulus functions and explain the humps.

problem

Cobalt decay

16 to 18

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

problem

Carbon footprints

14 to 16

Is it really greener to go on the bus, or to buy local?

problem

28 - upward and onward

7 to 11

Can you find ways of joining cubes together so that 28 faces are visible?

problem

Can you traverse it?

14 to 18

How can you decide if a graph is traversable?

problem

Prize giving

14 to 16

What's the fairest way to choose 2 from 8 potential prize winners? How likely are you to be chosen?

problem

Favourite

Rhombus it

11 to 16

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 rhombus.

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Voting paradox

Tricky track

Alien counting

Loch Ness

Cobalt decay

Carbon footprints

28 - upward and onward

Can you traverse it?

Prize giving

Rhombus it