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Rationals Between...

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

There's a Limit

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

Not Continued Fractions

Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?

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?