Quantitative Reasoning
Algebraic Reasoning
Geometric and Spatial Reasoning
Probabilistic and Statistical Reasoning
100
Janelle bought 3 movie tickets and an order of popcorn for her family for $32.50. Jon bought 4 movie tickets and 2 orders of popcorn for his family for $46. How much does a movie ticket cost?
a. $4.00
b. $6.50
c. 7.75
d. $9.50
D. $9.50
100
If 24=4x, what is the value of x?
a. 2
b. 4
c. 6
d. 8
a. 2
100
In the figure above, line segment BC is 4 units long. Line segment CD is 8 units long. Line segment DE is 6 units long. What is the length of line segment AC?
a. 7 units
b. 5 units
c. 3 units
d. 2.5 units
B. 5 units
100
Elizabeth has a standard die that is labeled 1 to 6, and she rolls it 100 times. Which of the following experimental outcomes is NOT likely?
a. 67 rolls will show a number greater than 2.
b. 50 rolls will show an even number.
c. 75 rolls will show a number less than 4.
d. 33 rolls will show a number less than 3.
c. 75 rolls will show a number less than 4.
200
How many 3-inch segments can a 4.5-yard line be divided into?
a. 15
b. 45
c. 54
d. 64
C. 54
200
Rafael has a business selling computers. He buys computers from the manufacturer for $450 each and sells them for $800. Each month, he must also pay fixed costs of $3,00 for rent and utilities for his store. If he sells n computers in a month, which of the following equations can be used to find his profit?
a. P=n($800 - $450)
b. P=n($800 - $450 - $3,00)
c. P=$3,000 x n($800-$450)
d. P=n($800 - $450)-$3,000
D. P=n($800 - $450)-$3,000
200
In the following figure, if b/(a+b+c)=3/5 , then what is the value of b?
a. 60
b. 72
c. 108
d. 120
c. 108
200
Given the double bar graph shown below, which of the following statements is true?
a. Group A is negatively skewed, while Group B is approximately normal.
b. Group A is positively skewed, while Group B is approximately normal.
c. Group A is approximately normal, while Group B is negatively skewed.
d. Group A is approximately normal, while Group B is positively skewed.
b. Group A is positively skewed, while Group B is approximately normal.
300
A building has a number of floors of equal height, as well as a thirty-foot spire on top. If the height of each floor in feet is h, and there are n floors in the building, which of the following represents the building's total height in feet?
a. n+h+30b
b. nh+30
c. 30n+h
d. 30h+n
B. nh+30
300
For what real number x is it true that 3(2x-10)=x?
a. -6
b. -5
c. 5
d. 6
D. 6
300
If the ratio of the measures of the three angles in a triangle is 2:6:10, what is the actual measure of the smallest angle?
a. 20 degrees
b. 40 degrees
c. 60 degrees
d. 80 degrees
a. 20 degrees
300
Given the historgrams shown below, which of the following statements is true?
a. Group A is negatively skewed and has a mean that is less than the mean of Group B.
b. Group A is positively skewed and has a mean that is more than the mean of Group B.
c. Group B is negatively skewed and has a mean that is more than the mean of Group A.
d. Group B. is positively skewed and has a mean that is less than the mean of Group A.
c. Group B is negatively skewed and has a mean that is more than the mean of Group A.
400
If the area of a rectangular game board is 336 square inches and its perimeter is 76 inches, what is the length of the shorter side?
a. 10 inches
b. 14 inches
c. 19 inches
d. 24 inches
B. 14 inches
400
Under the condition that x>y, which of the following CANNOT be true following the inequality x+y>0?
a. x=3 and y=0
b. x=6 and y=-1
c. x=-3 and y=0
d. x=3 and y=-3
d. x=3 and y=-3
400
Andi wants to put tile on her shower floor, which is 3ft by 5.5 ft. If the tile costs $5.75 per square foot, how much will it cost her to buy the tile, rounded to the nearest dollar?
a. $17
b. $72
c. $95
d. $131
c. $95
400
A bag contains 8 red marbles, 3 blue marbles, and 4 green marbles. What is the probability Carlos draws a red marble, does not replace it, and then draws another red marble?
a. 2/15
b. 4/15
c. 32/105
d. 64/225
b. 4/15
500
A regular toilet uses 3.2 gallons of water per flush. A low-flow toilet uses 1.6 gallons of water per flush. What is the difference between the number of gallons used by the regular toilet and the low-flow toilet after 375 flushes?
a. 100 gallons
b. 525 gallons
c. 600 gallons
d. 1,200 gallons
C. 600 gallons
500
Given the equation 2x=64, what is the value of x?
a. 4
b. 5
c. 6
d. 7
c. 6
500
C.
500
If 120 customers purchased coffee today, and this is 1/4 less than yesterday, how many people purchased coffee yesterday?
a. 90
b.150
c. 160
d. 240
c. 160