Intermediate Olympiads 17 - All Solutions
... 5. In a sports league there are four teams and every team plays every other team once. A team scores 3 points for a win, 1 point for a draw, and 0 points for a loss. What is the smallest number of points a team could have at the end of the league and still score more points than each of the other te ...
... 5. In a sports league there are four teams and every team plays every other team once. A team scores 3 points for a win, 1 point for a draw, and 0 points for a loss. What is the smallest number of points a team could have at the end of the league and still score more points than each of the other te ...
CHAP11 Z2 Polynomials
... Cast your mind back to the time when you first learnt about complex numbers. Your whole world of numbers was the field of real numbers. There were many polynomial equations which had no solutions such as x2 + 1 = 0. What we did was to invent solutions for this polynomial. A new “imaginary” number “i ...
... Cast your mind back to the time when you first learnt about complex numbers. Your whole world of numbers was the field of real numbers. There were many polynomial equations which had no solutions such as x2 + 1 = 0. What we did was to invent solutions for this polynomial. A new “imaginary” number “i ...
