## Problems

##### Age 7 to 16 Challenge Level:

Explore patterns based on a rhombus. How can you enlarge the
pattern - or explode it?

##### Age 11 to 16 Challenge Level:

Learn how to use advanced pasting techniques to create interactive
spreadsheets.

##### Age 11 to 16 Challenge Level:

Learn how to use increment buttons and scroll bars to create
interactive Excel resources.

##### Age 11 to 16 Challenge Level:

Learn how to make a simple table using Excel.

##### Age 11 to 16 Challenge Level:

Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
feedback.

##### Age 11 to 16 Challenge Level:

This investigation uses Excel to optimise a characteristic of
interest.

##### Age 11 to 16 Challenge Level:

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

##### Age 14 to 16 Challenge Level:

Can you convince me of each of the following: If a square number is
multiplied by a square number the product is ALWAYS a square
number...

##### Age 14 to 16 Challenge Level:

Find b where 3723(base 10) = 123(base b).

##### Age 16 to 18 Challenge Level:

A quadrilateral changes shape with the edge lengths constant. Show
the scalar product of the diagonals is constant. If the diagonals
are perpendicular in one position are they always perpendicular?

##### Age 16 to 18 Challenge Level:

Show that for natural numbers x and y if x/y > 1 then x/y>(x+1)/(y+1}>1. Hence prove that the product for i=1 to n of [(2i)/(2i-1)] tends to infinity as n tends to infinity.

##### Age 16 to 18 Challenge Level:

In this 'mesh' of sine graphs, one of the graphs is the graph of
the sine function. Find the equations of the other graphs to
reproduce the pattern.

##### Age 16 to 18 Challenge Level:

Can you prove this formula for finding the area of a quadrilateral from its diagonals?

## Featured Solution

## Articles & Games