Algebra
Geometry
Number Theory
Counting & Probability
100
Auston is 60 inches tall. Using the conversion 1inch = 2.54 cm, how tall is Auston in centimeters? Express your answer as a decimal to the nearest tenth.
152.4 cm
100
In the diagram, what is the area of the shaded triangle? 
15 cm2
100
Two siblings, Andy and Alexa, bake 
cookies. Alexa eats some number of cookies that is a positive multiple of the number of cookies eaten by her brother. If the siblings finish all cookies, then what is the maximum number of cookies that the brother, Andy, could have eaten?
12
100
In how many ways can I arrange four different books on a shelf?
24
200
How many positive integer solutions exist for 
?
7
200
How many degrees are in the measure of the smaller angle formed by the hour and minute hands of a clock when the time is 
p.m.?
150
200
Ray will choose at random an integer 
, such that 
. What is the probability that Ray will choose a prime number? Express your answer as a common fraction.
1/4
200
How many numbers are in the list 
19
300
If Jimmy increases a number by 
, and then decreases this new value by , what percent of the original number will the final result be?
99
300
In the diagram, 
and 
are diameters of a circle with radius 4. If and are perpendicular, what is the area of the shaded region?
16 + 8 pi
300
What is the smallest odd number with four different prime factors?
1155
300
How many multiples of 10 are between 11 and 103?
9
400
Given that 
and 
for all 
, find 
.
81
400
In the diagram, 
, 
and 
are the centers of the three semi-circles. Also, 
and 
What is the area of the semi-circle with center ?
1250 pi
400
The least common multiple of two positive integers is 
, and their greatest common divisor is 
. If one of the integers is 
, then what is the other?
(Note that means 
.)
144
400
Ten students are taking both algebra and drafting. There are students taking algebra. There are 
students who are taking drafting only. How many students are taking algebra or drafting but not both?
25
500
Simplify 
, where 
20
500
In right triangle 
, 
, 
, and 
. Find 
. Express your answer in simplest radical form.
2√41
500
Express as a common fraction: 
.
7/99
500
Keisha's basketball team must decide on a new uniform. The seventh-graders will pick the color of the shorts (black or gold) and the eighth-graders will pick the color of the jersey (black, white, or gold), but the two groups of players will not confer together. If, for both garments, each possible color is equally likely to be chosen, what is the probability that the shorts will be a different color than the jersey? Express your answer as a common fraction.
2/3