Science Bowl Practice Questions

Math - 5

35.

Short Answer: Two fair coins are tossed and at least one is a head. What is the probability that both
coins are heads?

ANSWER: 1/3

36.

Multiple Choice: The polar equation, r = 3sin(3t), (read: r equals 3 times the sine of angle 3t) represents
which of the following graphs? Is it the graph of a:

w) cardioid (pron: car-dee-oiz)
x) three-leaved rose
y) Archimedian-spiral
z) limacon (pron: lee-ma-son)

ANSWER: X -- THREE-LEAVED ROSE

37.

Multiple Choice: The polar equation, r = 3 - 2cos(t), (read: r equal 3 minus 2 times the cosine of the
angle t) represents which of the following graphs? Is it the graph of a:

w) cardioid
x) three-leaved rose
y) Archimedian-spiral
z) limacon (pron: lee-ma-son)

ANSWER: Z -- LIMACON

38.

Short Answer: The ratio of 2 positive numbers is 3 to 8 and their product is 864.

What are the two numbers?

ANSWER: 18,48

39.

Short Answer: Name the famous mathematician/physicist who was born in the year Galileo died.

ANSWER: (ISAAC) NEWTON

40.

Short Answer: A wheel is rolling without slipping on a flat surface. If the diameter of the wheel is 1
meter, how far does the hub of the wheel move when the wheel turns once?

ANSWER: p METERS or 3.14 METERS

41.

Short Answer: Exactly how many of the prime numbers are even?

ANSWER: 1

42.

Short Answer: Give two trigonometric functions which are NEGATIVE in BOTH the third and fourth
quadrants.

ANSWER: SINE and COSECANT

43.

Short Answer: An 8 meter length of rope is placed along the circumference of a circle whose diameter
is 16 meters. At the circle's center, how many radians are subtended by the 8 meter length of rope?

ANSWER: 1

44.

Short Answer: How many vertices does a tetrahedron have?

ANSWER: FOUR

45.

Short Answer: What term is used to describe a triangle that has three UNEQUAL sides?

ANSWER: SCALENE