Numbers, Operations and Quantitative Reasoning
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?
What is 12?
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?
16
An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet. Which measurement is closest to the circumference of the base of the observatory in feet?
200.96
What is the range of the set of data below. 3, 12, 15, 6, 21, 6, 2, 21, 24, 21
22
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
• 1/5 of the caramel apples are covered with peanuts.
• 1/3 are covered with chocolate chips.
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
20
Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25 + x
D. y = 4.25x
D
What are the 3 angles in an equilateral triangle equal to? (if this can not be determined tell me what information is needed as your answer)
60
A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom. What is the probability that the first student who enters the classroom will be assigned a seat in the front row?
4/15
What is the solution set for -4x - 10 ≤ 2?
A. x ≤ -3
B. x ≥ -3
C. x ≤ 2
D. x ≥ 2
B
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee 14%
Chocolate 42%
Strawberry 18%
Vanilla ?
How many more of Ursula’s classmates chose chocolate than chose vanilla?
13
The sum of the measures of angle M and angle R is 90°.
• The measure of angle M is (5x + 10)°.
• The measure of angle R is 55°.
What is the value of x?
5
The dimensions of a triangular prism are shown in the diagram on the board.
What is the volume of the triangular prism in cubic centimeters?
1632
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?
F. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
G. From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
H. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
J. From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
H
Patty and John went out to eat for their anniversary dinner. If there meal was a total $32.64 including tax and tip, and they gave a 20% tip, how much was their meal without the tip?
The meal was $27.20. The tip was $5.44.
An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?
12
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet. Which expression best represents the value of S?
A. 43.96 / 7
B. 43.96 / 14
C. 7 / 43.96
D. 14 / 43.96
B
The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People Horror 12
Comedy 15
Action 17
Drama 6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
A. The person is three times as likely to prefer comedy as horror.
B. The person is twice as likely to prefer drama as horror.
C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.
D
Janice is doing a walk-a-thon to earn money for the cheerleading squad at her school. Her mother told her that she would give her $2.50 for every 2 miles that she walks. Janice walks 4.2 miles. How much money does her mother owe her.
What is $5.25?
750 students are part of the athletic department at Flyte middle school. 25 % of the students at Flyte middle school are not involved in the athletic department. How many students are there in all at Flyte middle school?
What is 1000 students?
The 200 students in a school band will attend an awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.
• 12 students want a beef meal.
• 8 students want a chicken meal.
• 5 students want a pasta meal.
Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?
A. There are 16 students who want a beef meal.
B. There are 52 students who want either a chicken meal or a pasta meal.
C. There are 32 more students who want a beef meal than want a chicken meal.
D. There are 24 more students who want a pasta meal than want a chicken meal.
C