problem
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Sums of squares
Can you prove that twice the sum of two squares always gives the sum of two squares?
Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Can you place the blocks so that you see the reflection in the picture?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Here you have an opportunity to explore the proofs of the laws of logarithms.