Science Bowl Practice Questions

Math - 11

85.

Short Answer: A student finds that the numerical values for the are and the volume of a sphere are
equal. What is the radius for this sphere?

ANSWER: 3 (no units specified)

86.

Short Answer: A customer purchased a candy bar costing $0.78 and was 3 cents short of having the
exact amount without breaking a $1 bill. How much change did the customer have after the $1 bill was
broken?

ANSWER: $0.97

87.

Short Answer: A number minus its reciprocal is 14 larger than the original number. What was the
number?

ANSWER: - 1/14

88.

Short Answer: A curve represented by the equation y = - 5 x2 intersects the line y = -20 at two points.
What is the straight-line distance between the two intersections?

ANSWER: 4

89.

Short Answer: Solve this indefinite integral: [2/x] dx (read: the integral of 2 over x, dx).

ANSWER: 2 ln x + CONSTANT

90.

Short Answer: What is the volume of a right circular cone with radius r and height h?

ANSWER: (1/3)pr2h

91.

Short Answer: What is 81

1/4

 (read: 81 to the one-fourth power)?

ANSWER: 3

92.

Short Answer: Where does the graph of cotangent of x cross the x-axis?

ANSWER: x = p/2, 3p/2, 5p/2 ... or ODD INTEGERS OF p/2

93.

Short Answer: A biker goes EAST for 4 miles, NORTH for 12, EAST for another 4 and SOUTH for 6.
What is the magnitude of the displacement?

ANSWER: 10 MILES