Science Bowl Practice Questions

Math - 1

Science Bowl Practice Questions – Math

1.

Short Answer: What is the volume of a sphere of radius "R"?

ANSWER: (4/3) p R3

2.

Short Answer: What is the surface area of a sphere of radius "r"?

ANSWER: 4 p R2 or 12.566 x R2

3.

Short Answer: How many degrees are there in p radians?

ANSWER: 180 DEGREES

4.

Short Answer: Using an x-y coordinate axis, the figure represented by the equation [x

2

/36] + [y

2

/16] =

1 is centered about what x-y coordinate point?

ANSWER: (0,0)

5.

Short Answer: An ellipse is represented by the equation [x

2

/36] + [y

2

/16] = 1. What is the length of the

major axis of this ellipse?

ANSWER: 12

6.

Short Answer: Using an x-y coordinate axis, a parabola is given by the equation y = x2. Give the x-y
coordinates of the focal point for this parabola.

ANSWER: (0,1/4)

7.

Short Answer: Using an x-y coordinate axis, a parabola is represented by the equation x

2

 = 6y. The

vertex of this parabola is at what coordinate point?

ANSWER: (0,0) or x = 0, y = 0

8.

Short Answer: For a right triangle, the sin(A) is 3/5. To what value is the tan(A) (read: tangent of A)
equal?

ANSWER: ¾

9.

Multiple Choice: The tan(-A) (read: tangent of the angle minus A) is equal to which of the following?

w) tan(A) (read: tangent of the angle A)
x) -tan(-A) (read: minus the tangent of the angle minus A)
y) -tan(A) (read: minus the tangent of the angle A)
z) none of the above

ANSWER: Y -- -TAN(A) (read: minus the tangent of the angle A)