# Category Archives: STEP and MAT

# STEP I-2006-1 and mental arithmetic

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.

# STEP II-2013-6: sequences, convergence, limits, Fibonacci

# Luciano Rila on STEP II-1998-1

# Imaginative diagrams

# Some STEP probability and mechanics questions

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

# STEP statistics examples

Worked solutions to:

I/2011/13

I/2015/12

I/2008/12

I/2014/13

I/2016/13

II/2016/13