Ratios and Proportions
A grocery store assembles 45 fruit baskets. In the fruit baskets, there are a total of 225 bananas, 180 oranges, 135 apples, and 45 pineapples. What is the ratio of apples to oranges?
There are 135 apples to 180 oranges. The reduced ratio is 3 apples to 4 oranges.
3:4
The width of a room is 12 feet. Tile comes in squares that are 3/4 foot by 3/4 foot. How many tiles will fit along the wall?
12 divided by 3/4 = 16
16
While trying to find the least common multiple two numbers, Juan figured that 360 equals:
2 x 2 x 2 x 3 x 3 x 5
How could Juan express this using exponents?
23 x 32 x 5
Annie has $16.00 in her savings account. She will deposit the same amount of money each week for the next five weeks in order to save for a new CD players. The amount she deposits into her bank account each week is represented by m. Which expression represents the amount of money she will have at the end of five weeks?
A. 16 - 5m C. 16 + 5m
B. 16 + m + 5 D. 5m - 16
C. 16 + 5m
Which of the following is a statistical question?
A. How tall and I?
B. What is the average height of the boys in the class?
C. How tall is the teacher?
D. How tall is the school building?
B. What is the average height of the boys in the class?
A swimming pool can fill at a rate of 1,500 gallons per hour. How many hours will it take to fill a 60,000 gallon swimming pool?
40 hours
Marissa is tying bows to use as decorations for the holidays. She has 72 inches of ribbon, and each bow requires 2.4 inches of ribbon. How many bows will Marissa be able to tie?
30 bows
Find the value of G when m=12
G = (3 times m + 12)/6
G = 8
A 911 operator answers an average of 22 calls per day. Last week, she answered 77 calls. Which equation, when solved, correctly identifies the number of days, d, she worked?
A. d = 22(77)
B. d/77 = 22
C. 22d = 77
D. d = 22/77
C. 22d = 77
Which of the following measures would be the most appropriate for describing the difference in height between the tallest and shortest students in a middle school class?
A. Mean C. Mode
B. Median D. Range
Range
It takes Eddie 15 minutes to walk to school every morning. During gym class, he can walk around an 800-meter track 4 times in 30 minutes. Assuming that Eddie walks to school at the same pace he walks around the track, how far does Eddie walk to school each morning?
1,600 meters
Which of the following is the greatest common factor of 36 and 42?
6
Which of the following equations is true?
A. 10/0 = 10 times 0
B. (12 times 6)/3 = 12 times (6/3)
C. 6 times (4 - 3) = 24 - 3
D. 0 + 9 = 0 - 9
B. (12 times 6)/3 = 12 times (6/3)
Eddie's favorite baseball team, the Bucks, were playing against the Orange Sox. In the 5th inning, the Bucks were winning 5 to 2. The team that lost the game only scored 4 runs. Which of the following best represents the Bucks' final score if b represents the number of runs scored by the Bucks?
A. b < 5
B. b greater than or equal to 5
C. b = 4
D. b > 5
B. b greater than or equal to 5
Penny rode her bicycle to her aunt's house 12 miles away and arrived in 48 minutes. Which of the following could have been her speed?
15 miles per hour
Andrea noted that on Tuesday the temperature at 8 a.m. was -4 degrees F. On Wednesday, the temperature at 8 a.m. was -14 degrees F. Which of the following statements best explains the relationship between the temperature noted on the two days?
A. It was 10 degrees colder on Tuesday at 8 a.m. than on Wednesday at 8 a.m.
B. It was 10 degrees warmer on Tuesday at 8 a.m. than on Wednesday at 8 a.m.
It was 10 degrees warmer on Tuesday at 8 a.m. than on Wednesday at 8 a.m.
At an apple orchard, a farmer charges $10.00 to pick the first bushel of apples and $3.00 for each bushel after that. Which expression could be used to find the price of picking n bushels of apples?
A. (n - 1) x ($3.00 + $10.00)
B. (n - 1) x $3.00 + $10.00
C. (n - 1) x $3.00 + $10.00 x n
D. n - 1 x $3.00 + $10.00
B. (n - 1) x $3.00 + $10.00
Which statement best describes the relationship between 30 and 345,6780?
A. They are equal since they both equal zero.
B. The second number 345,6780, is larger because it has a bigger base number.
C. The first number, 30, is larger because it has a smaller base number.
D. They are equal since they both equal one.
D. They are equal since they both equal one.
Hans is trying to figure out how well he is doing in his science class. He wrote down all of his test scores so far. Which measure of center will give Hans the best grade? 88, 84, 93, 90, 96, 88, 98
A. Range C. Mean
B. Median D. Mode
Mean
Benji gets an allowance of $5.00 per week. His younger sister Allison's weekly allowance is 75% of Benji's allowance, and his younger brother Trent received 20% of what Benji does for a weekly allowance. What is the total allowance each week for Benji, Allison, and Trent?
Benji $5.00
Allison $3.75 TOTAL $9.75
Trent $1.00
Rosie bought a package of 5 rolls of 24-exposure film that cost $3.60. She gets 2 free rolls of film for every 5 rolls she buys. How much does 14 rolls of film cost?
$7.20
In the expression below, A=52 and L=13.
L = A/W
What is the value of W?
W = 4
The zoo had n visitors during June. In July, the zoo had 3,019 more visitors than they had in June. In August, they had 427 fewer visitors than in June. Which expression could be used to find v, the total number of visitors in those 3 months?
A. v = n + 3,019 - 427
B. v = n + (n +3,019) + (n + 3,019 - 427)
C. v = n + (n + 3,019) + (n - 427)
D. v = n + (n + 3,019) - (n - 427)
C. v = n + (n + 3,019) + (n - 427)
There are eight houses on a particular block. All of these houses' values have been appraised at different amounts under $150,000 except for a single house that is worth $2,500,000. Which of the following would be the best measure of central tendency for representing the value of a typical house on this block?
A. Mean C. Mode
B. Median D. Range
Median