Math Mania 2003
- A circle and a parabola are drawn in the plane. What is the largest number of regions
they divide the plane into?
- From a group of boys and girls, 15 girls leave. There are then two boys for each girl.
After this, 45 boys leave. There are then 5 girls for each boy. What was the number
of girls originally present?
- What is the smallest positive integer x such that 750 x is a perfect square?
- At 2:15, what is the angle between the hour hand and the minute hand of a clock?
- The large square shown has area 1. The four interior lines each join a vertex of the
square to the midpoint of a side as shown. What is the area of the small central square?
- Solve the equation x2 + x - 8 = |x|.
- What is the number of digits in 20032003?
-
- six regions
- 40 girls
- 30
- 22.5 degrees or pi/8 radians
- 1/5
- x = -4 or x = √8 = 2√2
- 6614
Return to Math Mania home page
