Science Bowl Practice Questions
Math - 7
52.
Short Answer: Twelve socks are in a drawer; 4 are red, 7 are blue, and 1 is green. What is the
maximum number of socks that you can pull out and only have 2 matching pairs?
ANSWER: 7
53.
Short Answer: The scale on a blueprint of a bicycle says one half inch equals 1 foot. What will be the
actual DIAMETER of the bicycle wheel if they are drawn with a RADIUS of ¾ inches.
ANSWER: 3 FEET (accept 36 inches)
54.
Short Answer: What is the value of 125 to the two-thirds power?
ANSWER: 25
55.
Short Answer: What is the value of the integral from 1 to e of du/u (read: d u divided by u), where e is
the base of the natural logarithm?
ANSWER: 1
56.
Short Answer: What is the slope of the curve y = x
3
- 6x + 2 when it crosses the y axis?
ANSWER: -6
57.
Short Answer: What is the area bounded by the curve y = x
2
and the axis between x = 1 and x = 2?
ANSWER: 7/3 (or 2 and 1/3 or 2.333)
58.
Short Answer: What is the slope of the curve y = ln x (read: y equals the natural logarithm of x) at x =
2?
ANSWER: 1/2
59.
Short Answer: Name the two discoverers of the fundamental theorem of calculus. Last names only are
acceptable.
ANSWER: (SIR ISAAC) NEWTON AND (BARON VON) LEIBNITZ
60.
Multiple Choice: The equation: [(x - 2)
2
/6] – [(y - 3)
2
/5] = 2 defines which of the following? (read: the
quantity x minus 2 squared divided by 6 MINUS the quantity y minus 3 squared divided by 5 equals 2)
w) ellipse
x) hyperbola
y) spiral
z) parabola
ANSWER: X -- HYPERBOLA
61.
Short Answer: What is the distance between the points P and Q if their cartesian coordinates are (5, 5,
1) and (1, 5, -2)? (read: 5 comma, 5 comma, 1 and 1 comma, 5 comma, minus 2)
ANSWER: 5
62.
Short Answer: What are the cartesian coordinates of the point of intersection of the two lines x - y = 5
and x + y = 1? (read: x minus y equals 5 and x plus y equals 1)
ANSWER: (3, -2) (accept x = 3 and y = -2 but not x = -2, y = 3)
63.
Short Answer: What is the slope of the line 2x + 3y = 7? (read: 2 x plus 3 y equals 7)
ANSWER: - 2/3 or -0.667