Explore patterns based on a rhombus. How can you enlarge the
pattern - or explode it?
Learn how to use advanced pasting techniques to create interactive
Learn how to use increment buttons and scroll bars to create
interactive Excel resources.
Learn how to make a simple table using Excel.
Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
This investigation uses Excel to optimise a characteristic of
Prove that the area of a quadrilateral is given by half the product of the lengths of the diagonals multiplied by the sine of the angle between the diagonals.
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
Find b where 3723(base 10) = 123(base b).
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?
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.
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.