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Not a Polite Question

When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...

Whole Numbers Only

Can you work out how many of each kind of pencil this student bought?

All Square

Solve the system of equations xy = 1 yz = 4 zx = 9

Letter Land

Age 11 to 14
Challenge Level

If

Collage of coloured letters.

$A + C = A$

$F \times D = F$

$B - G = G$

$A + H = E$

$B / H = G$

$E - G = F$

and $A$-$H$ represent the numbers from $0$ to $7$

Find the values of $A, B, C, D, E, F, G$ and $H$.