TMO: August-2010 practice
Q1: How many 7-digit numbers that do not start nor end with 1 are there?
Q2: Find all pairs (x,y) of nonnegative integers such that and are simultaneously perfect squares.
Q3: Find the real solutions to the equation:
Q4: Find the math words listed below in this word search puzzle.
ALGEBRA CUBES DECIMAL
EQUATION EXPONENT FACTOR
FRACTIONS GEOMETRY HEXAGON
INFINITY INTEGER MULTIPLICATION
PARALLEL POWER PYTHAGORAS
RADICAL RECTANGLE SLOPE
TANGENT TRIANGLE ZERO