problem

### Lattice Points

Why are there only a few lattice points on a hyperbola and
infinitely many on a parabola?

problem
###
Lattice Points

Why are there only a few lattice points on a hyperbola and
infinitely many on a parabola?

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Cakes and Buns

Helen buys some cakes and some buns for her party. Can you work out how many of each she buys?

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###
Are you kidding

If the altitude of an isosceles triangle is 8 units and the perimeter of the triangle is 32 units.... What is the area of the triangle?

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Letter Land

If: A + C = A; F x 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 and H.

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CD Heaven

All CD Heaven stores were given the same number of a popular CD to
sell for £24. In their two week sale each store reduces the
price of the CD by 25% ... How many CDs did the store sell at each
price?

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Plutarch's Boxes

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 their
surface areas equal to their volumes?

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In particular

Can you find formulas giving all the solutions to 7x + 11y = 100 where x and y are integers?

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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...