Means, Medians & Modes
In the set {2, 5, 11, 17, 20} what is the difference between the mean and the median?
0
What is the perimeter of the square with area 9 cm2?
12cm
Mr. Juarez can type 84 words per minute. How many words can Mr. Juarez type
in 2 minutes and 30 seconds?
210
What is the mean of seven numbers if the mean of the first two is 11 and the mean of the last five is 18?
16
If an isosceles triangle has base angles that are each twice the measure of the smaller angle, what is
the measure of one of the base angles?
72 degrees
The number 5root(2) is the square root of which positive integer?
50
The arithmetic mean of four numbers is 15. Two of the numbers are 10 and 18 and the other two
are equal. What is the product of the two equal numbers?
256
By how many degrees does the measure of an interior angle of a regular decagon exceed the
measure of an interior angle of a regular pentagon?
36 degrees
If 5 zips equal 4 squawks, and 3 squawks equal 5 bangs, how many zips equal
12 bangs?
16 zips
The four highest-scoring students in a class had scores of 97, 93, 90 and 80 on an exam. The
average exam grade for the 12-member class was 75. What is the largest number of students who
could have scored below 60?
4
Aaron draws a regular hexagon. Then Bekah connects the midpoints of the sides
of Aaron’s hexagon to form another regular hexagon, as shown.
What is the ratio of the area of Bekah’s hexagon to the area of
Aaron’s hexagon? Express your answer as a common fraction.
a:h = 1:2 a = 1/2 h
b:h = 1:root3 b = 1/root3 h
area one = (h/2 * (h/2)root3) /2 = h^2 root3 /8
area two = ((h/root3) *h )/2 = h^2 / 2root3
root3/8 : 1/2root3 = root3/4 : 1/root3 = 3/4:1 = 3/4
The product of 3 consecutive multiples of 5 is 42,000. What is the least of the
three multiples?
30
Stephanie rolls three standard dice. What is the probability that the product of
the three numbers she rolled is not a multiple of 8? Express your answer as a
common fraction.
prob number is even is 1/2, prob a 4 is 1/6
EEE is out = probability 1/84EO is out in any order = (1/6 * 1/2 * 1/2)*6
so total of 1/8+1/4 = 3/8 out
so the final answer is 1-3/8 = 5/8