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problem

Eight queens

7 to 11

Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

problem

Taking a die for a walk

5 to 11

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

problem

Favourite

Curve fitter

14 to 18

This problem challenges you to find cubic equations which satisfy different conditions.

problem

Pizza portions

7 to 11

My friends and I love pizza. Can you help us share these pizzas equally?

problem

Gnomon dimensions

14 to 16

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.

problem

Happy octopus

11 to 14

This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.

problem

All wrapped up

7 to 11

What is the largest cuboid you can wrap in an A3 sheet of paper?

problem

Difference of odd squares

14 to 18

$40$ can be written as $7^2 - 3^2.$ Which other numbers can be written as the difference of squares of odd numbers?

article

Eureka!

7 to 14

Read this article to find out about the discoveries and inventions of Archimedes.

problem

Human food

7 to 14

Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?

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Eight queens

Taking a die for a walk

Curve fitter

Pizza portions

Gnomon dimensions

Happy octopus

All wrapped up

Difference of odd squares

Eureka!

Human food