# COSC 1P02 Midterm Math Exercise

Completing the following math exercises will quicken your solutions to turtle graphics questions on your first test if they appear. Do without a calculator as you won't have one during your test. Check with a friend to see if you get the same answer.

1) Convert the following decimal to the smallest fraction representation, e.g. 3.25 = 13/4.
Which relationships develop?

 0.25 0.33 0.5 0.66 0.75 1.25 1.33 1.5 1.66 1.75 2.25 2.33

2) Convert the following fractions of PI to degrees, e.g. 13/4pi = 225 degrees.

 1/4π 7/4π 2/3π 11/4π 7/3π 5/3π 10/3π 5/2π 15/4π 3/2π 11/3π 7/2π

3) Find the final value of "number" when the for loops have completed all cycles.

int i;
int j;
int number;
number = 0;
for (i=0; i<=10; i++) {
for (j=5; j<=13; j++) {
number = number + 1;
}
}

4) Find the final value of "number" when the for loops have completed all cycles.

int i;
int j;
int number;
number = 123;
for (i=4; i<8; i++) {
for(j=10; j>7; j--) {
number = number - 1;
}
}