Probability
Perimeter
Area
Proportions
100
You roll two 6-sided number cubes. What is the probability the first cube will show a 6 and the second cube will show a 2? (HINT: this is a combination problem, so calculate the two probabilities separately, then multiply them.)
A. 1/36 B. 1/18 C. 1/6 D. 1/3 E. 2
A. 1/36
100
How many units long is the circumference of a circle with diameter of 8 units?
F. 4pi G. 8pi H. 4pi2 J. 16pi K. 16pi2
G. 8pi
100
Anna wants to completely cover the rectangular ceiling of her own room with soundproof tile so she can play her stereo as loudly as she wants. Her ceiling is 16 ft. long and 10 ft. wide. The tiles are 2 ft. by 2 ft. squares. How many tiles does Anna need to cover her ceiling with one layer of soundproof tiles?
F. 20 G. 26 H. 40 J. 52 K. 80
H. 40
100
As a salesperson, your commission is directly proportional to the dollar amount of sales you make. If your sales are $800, your commission is $112. How much commission would you earn if you had a $1,400 in sales?
A. $210 B. $196 C. $175 D. $128 E. $64
B. 196
200
Edward has a bag with three marbles in it. One is red, one blue, one orange. If he randomly selects two marbles without replacing them, what is the probability he selects first the orange then the blue? (HINT: this is a without replacement problem, so use P(orange)=1/3 and P(blue)=1/2)
A. 1/9 B. 1/8 C. 1/6 D. 2/9 E. 2/3
C. 1/6
200
The perimeter of a parallelogram is 70 inches, and one side measures 21 inches. What are the lengths, in inches, of the other three sides?
A. 21, 21, 14 B. 14, 14, 21 C. 21, 21, 17 D. 13, 30, 30 E. Cannot be determined
B. 14, 14, 21
200
A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular-shaped garden. How many feet in length are each of the sides of the new square-shaped garden?
A. 7 B. 9 C. 12 D. 5sqrt7 E. 16
C. 12
200
A drink is made up of 
A. 253 B. 184 C. 281.75 D. 442.75 E. 92
A. 253
300
An 18 member committee has 4 officers. The committee needs a non-officer to take notes during the meetings and decides to select someone randomly. If Louis is a member of the committee, but NOT an officer, what is the probability that he will be selected to take notes?
A. 0 B. 1/14 C. 1/6 D. 1/18 E. 1/4
B. 1/14
300
The distance around a circular path is 1,000 meters. Which of the following most nearly approximates the radius of the path, in meters? (Note: pi = 3.14)
A. 10 B. 18 C. 32 D. 159 E. 318
D. 159
300
Meg pounded a stake into the ground. When she attached a leash to both the stake and the dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for pi , what is the approximate area of the lawn, in square feet, the dog could reach from the stake?
A. 28 B. 57 C. 113 D. 254 E. 283
D. 254
300
A solution has 
A. 504ml B. 384ml C. 424ml D. 144ml E. 158ml
B. 384ml
400
You are playing a game that uses a deck of 20 cards numbered 1-20. The first four cards you draw are numbered 4, 12, 17, and 20. You do NOT return them to the deck. What is the probability that the next card you draw is numbered 12?
A. 0 B. 1/5 C. 1/20 D. 1/16 E. 5/16
A. 0
400
Which of the following expresses the number of meters a contestant must travel in a 3 lap race where the course is a circle of radius R meters?
F. 3R G. 3piR H. 3piR2 J. 6R K. 6piR
K. 6piR
400
A carpet company uses the following formula for estimating the number of square feet, A, of carpeting needed for a room x feet by y feet containing a stairway w feet by z feet with n stairs:
A = xy + w[z(2n-1)+2n]
What is the company’s estimate for the number of square feet of carpeting needed for a room that is 4 feet by 9 feet containing a stairway that is 7 feet by 7 feet with 8 stairs?
A. 541 B. 883 C. 512 D. 986 E. 647
B. 883
400
If basis points are defined so that 5 percent is equal to 100 basis points, then 7.5 percent is how many basis points greater than 5.5 percent?
A. .04 B. 40 C. 400 D. 4,000 E. 40,000
B. 40
500
Naugatuck Savings Bank requires its customers to select a four digit PIN code to access their accounts. Furthermore, the first digit cannot be 0 and the last digit must be even. If Sharri is a customer at Naugatuck Savings Bank, what is the probability she has the PIN 8564?
A. 1/10000 B. 1/6561 C. 1/4500 D. 4/6561 E. 8564/9999
C. 1/4500
500
The diagram below shows a pasture which is fenced in. All but 1 section of fence run straight north-south or east-west. Consecutive fence posts are 10 feet apart except for the 1 diagonal section. Which of the following statements best describes P, the perimeter of the pasture, in feet?
A. P > 210 B. P = 210 C. P < 210 D. P > 230 E. P = 240
A. P > 210
500
If the lengths of adjacent sides of a rectangular playground are represented by 3x – 4 and 2x2 + 5 units, respectively, for some value of x, then which of the following expressions represents the area, in square units, of the playground?
F. 4x2+6x+2 G. 6x3-20 H. 6x3+7x+20 J. 6x3-8x2+15x-20 K. 6x3+8x2+15x+20
J. 6x3-8x2+15x-20
500
A local diner prepares orange juice beverage every morning by adding orange juice concentrate to water. The owner has determined that the best beverage mix results when 27 percent of the orange juice beverage is made up of orange juice concentrate. How many liters of water to the nearest full liter should be added to 3 liters of concentrate to create the optimum mixture of orange juice beverage?
A. 8 B. 11 C. 14 D. 17 E. 20
A. 8