Probability
Shapes
Scaling and Population Predictions
Proportions
Percentage Problems
Miscellaneous
100
A bag of marbles contains 5 white marbles and 3 black marbles. What is the sample space of selecting a marble from the bag at random?
What is Theoretical Probability and Experimental Probability?
White, White, White, White, White, Black, Black, Black
Opportunities / Outcomes
# of Wins / # of Trials
100
What is the area of the trapezoid in square units if
h = 3, b1 = 3 and b2 = 4?
10.5 square units
100
Monika has a model of the space shuttle. The height of the model is 9.35 centimeters, as shown.
The scale of the model is 1 centimeter to every 6 meters. What is the actual height of the space shuttle?
56.1 m
100
The length of a shoe is 25 centimeters. How long is the shoe in meters?
(Note: 1 meter = 100 centimeters)
1/4 meter OR 0.25
100
Jake is buying a sweater with a price of $30 shown on the tag. The store is having a sale that will reduce the price by 30%. Sales tax of 5% will be added to the final purchase price. What is Jake's total cost for the sweater?
$22.05
100
Mr. Richey bought 56 pounds of pizza dough and used it equally over 7 days. How much pizza dough did he use each day?
8 pounds
200
Researchers counted the numbers of siblings that a random group of children have. From that information, the researchers then determined the following probabilities.
- P(having 0 siblings) = 0.257
- P(having 1 sibling) = 0.573
- P(having 2 siblings) = 0.123
- P(having 3 or more siblings) = 0.047
Based on these probabilities, which event has the smallest chance of occurring?
having 3 or more siblings
200
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
62.8 inches
200
A scale drawing of a playground in a park, the length is 5 cm and the width is 3 cm.
The actual playground has a width of 60 meters. What is the actual length in meters of the playground?
36 meters
200
Charlie ran the 200-meter dash in the all-city competition. One meter is approximately 3.28 feet. About how many feet did Charlie run?
656 feet
200
Petey’s Shirt Company can make 240 T-shirts in a day. After buying new machines, the company is able to make 456 T-shirts in a day. By what percent did the production increase?
90%
200
What is the Order of Operations? And what does it stand for?
PEMDAS
Parenthesis
Exponents
Multiplication/Division (left to right)
Addition/Subtraction (left to right)
300
Which probability represents an event that is neither likely nor unlikely?
0.50 or 50%
300
A bicycle wheel has a radius of 14.25 inches. What is the approximate circumference of the wheel?
89 inches
300
A random sample of 120 individuals were asked to express their preference for three similar products. Product A was chosen by 41 individuals, Product B by 57 individuals, and Product C by 22 individuals. The total population from which the sample was chosen was 4,700 individuals. What is a good estimate for the number of people from the total population who chose Product C?
862 people
300
Sandra’s rectangular garden is 24.5 feet long, and the ratio of the length to the width is 7 to 4. What is the width of Sandra’s garden?
14 feet
300
Rachel’s company invests $2,200 for her each year she works for the company. The investment earns 2.3% simple interest each year. Rachel has worked for this company for one year. How much is her investment worth?
$2,250.60
300
true or false
15 - (-5) + 9 - 80 = -51
true
400
Mr. Herbert gathered students in the cafeteria for an assembly. The list below represents the number of students at the assembly and the color of their eyes.
- 40 have blue eyes
- 75 have green eyes
- 120 have brown eyes
A red index card was taped to the underside of one of the chairs. What is the probability that the student sitting on the chair with the red index card has brown eyes?
24/47
400
Find the area of a circle with radius 36 cm. Use π = 3.14.
4069.44 cm2
400
A large bag contains red, blue, green, and yellow candies. Seth grabbed a handful and counted 12 red, 15 blue, 6 green, and 7 yellow candies. If the bag contains a total of 800 candies, which is the best prediction for the total number of blue candies in the bag?
300
400
Andy can drive 140 miles in 245 hours. Which statements are true regarding Andy's unit rate of hours per mile?
It takes Andy 0.02 hours to drive 1 mile.
400
Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
- Grocery store: 9 ounces for $3.75
- Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)
$0.23/ounce
400
What fraction of the glasses has orange juice? What is that fraction in simplest form?
9/12 = 3/4
500
The manager of a sporting goods store recorded the frequency of various items sold during a one-hour period. The results are shown in the table.
Items Sold Frequency
soccer balls 6
football helmets 13
baseball bats 18
running shoes 23
What is the experimental probability that the next customer will buy a baseball bat?
0.30 or 3/10
500
Which measurement is a good estimate for the area of a circle if the diameter is 18 feet?
254.3 ft²
500
Mrs. Halifax wanted to put a picture of the school cafeteria on a page in the yearbook. The picture has a scale of 1 inch = 3 feet, and it represents a space that is 21 feet long and 24 feet wide. She realized the picture was too wide for the page, so she reduced it to 34 of its original size. What is the length of the reduced picture?
5.25 in
500
Hassan is offered a job at a bank and a job at a hospital. Both jobs pay per hour of work, and he wants to choose the job that pays more. Hassan will earn $72.50 for 5 hours of work at the bank. He will earn $122.00 for 8 hours of work at the hospital. Which job should he choose?
Hassan should choose the job at the hospital because it pays $0.75 more per hour than the job at the bank.
500
It is customer appreciation week at Jim’s Shoe Outlet, which means all customers are given a 20% discount on all items. A customer comes in with an birthday coupon for an additional 10% off any one item. The customer buys 3 pairs of shoes for $120.00 each. After the two discounts, how much does the customer pay?
$278.40
500
Mr Demo has 5 yellow marbles, 3 green marbles, and 10 clear marbles. What is the ratio of clear marbles to total marbles written as a fraction? Write the fraction/ratio in simplest form.
5/9