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Rationals Between...

What fractions can you find between the square roots of 65 and 67?

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At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

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Canny Fraction

What fraction of the volume of this can is filled with lemonade?

Counting Fish

Age 14 to 16 Challenge Level:

Suppose 20 fish are re-caught - that's 20 of the 40 caught first - what would be a good guess for the whole lake fish population in this case?