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Broad Topics >

Algebraic expressions, equations and formulae > Other equations

##### Age 11 to 14 Challenge Level:

N people visit their friends staying N kilometres along the coast.
Some walk along the cliff path at N km an hour, the rest go by car.
How long is the road?

##### Age 11 to 14 Challenge Level:

If the sides of the triangle in the diagram are 3, 4 and 5, what is
the area of the shaded square?

##### Age 11 to 14 Challenge Level:

Use the numbers in the box below to make the base of a top-heavy
pyramid whose top number is 200.

##### Age 11 to 14 Challenge Level:

According to Plutarch, the Greeks found all the rectangles with
integer sides, whose areas are equal to their perimeters. Can you
find them? What rectangular boxes, with integer sides, have. . . .

##### Age 11 to 14 Challenge Level:

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...