Find the exact values of x, y and a satisfying the following system of equations: 1/(a+1) = a - 1 x + y = 2a x = ay
Find the sum of the series.
Photocopiers can reduce from A3 to A4 without distorting the image. Explore the relationships between different paper sizes that make this possible.
Take a sheet of A4 paper and place it in landscape format.
Fold up the bottom left corner as shown.
Now fold up the bottom right corner, again as shown.
What shape have you made?
What are the area and perimeter of this shape?
Take another sheet of A4 paper and place it in landscape format again.
Fold down the top left corner as shown.
Finally fold down the top right corner as shown.
What do you notice?