What fractions can you find between the square roots of 56 and 58?
Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.
The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
An opportunity to think about the total number of possible
combinations and then use some deductive reasoning.
A surprising result - we can find the number with so few clues.