STEP I/2006/1 – Find the integer, n, that satisfies . Find also a small integer m such that is a perfect square. Hence express 33,127 in the form pq, where p and q are integers greater than 1.
By considering the possible factorisations of 33,127, show that there are exactly two values of m for which is a perfect square, and find the other value.
Some STEP probability and mechanics questions from Michael Gibson’s “mini-mock” papers. These questions can be done with relatively short working and without needing to use any great knowledge of formulas. Continue reading
Worked solutions to: