Science Bowl Practice Questions

Math - 10

78.

Short Answer: A circle with a radius of 2 is defined by the equation x2 + y2 - 2y = 3. What are the
coordinates in the cartesian coordinate system of the center of this circle?

ANSWER: 0,1 or x = 0, y = 1

79.

Short Answer: The polar coordinates of a point are (3, p/2) (read: 3 comma p over 2). What are the
cartesian coordinates of this point?

ANSWER: 0,3 or x = 0, y = 3

80.

Short Answer: The area bounded by the race track at your high school is a rectangle with semicircles at
each end. The radius of the circular parts is 30 yards and the perimeter of the area bounded by the track
is 40 yards. Within ten yards, how long is each straight section of the track?

ANSWER: 106 YARDS (accept 96 to 116)

81.

Short Answer: The population of a near-by town was 10,000 in January, 1990. It is estimated that the
population will increase by 10% each year. What will be population of the town in January, 1992.

ANSWER: 12,100

82.

Multiple Choice: A fractal is a type of:

w) fraction
x) geometric shape
y) geologic fault
z) differential equation

ANSWER: X -- GEOMETRIC SHAPE

83.

Short Answer: For which values of x from the set of real numbers does the following inequality hold:
4x + 5 < x + 11 (read: 4 x plus 5 is less than x plus 11)

ANSWER: x < 2 (read: x LESS THAN 2)

84.

Short Answer: If two sides of a quadrilateral are parallel and the other two sides are equal but NOT
parallel, the quadrilateral is known as a:

w) parallelogram
x) triangle
y) square
z) trapezoid

ANSWER: Z – TRAPEZOID