Working with Fractions
Rocco has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stacks the books, about how tall will the stack be? Round to the nearest hundredth.
a. 5.93 inches
b.5.98 inches
c. 5.99 inches
d. 6 inches
c. 5.99 inches (nearest hundreth)
Kaylah rolls two number cubes numbered 1 to 6. What is the probability that the sum of the numbers rolled will be 5?
a. 1/19
b. 1/8
c. 1/9
d. 1/6
c. 1/9
Find the sum. (-7b + 8c) - (12a + 14) + (5a + 5b)
a. -7a + 12b + 8c + 14
b. -7a - 2b + 8c - 14
c. 17a - 2b + 8c + 14
d. 17a - 2b + 8c - 14
b. -7a - 2b + 8c - 14
Yen Yen buys four pairs of shoes on sale for buy one, get one 50% off. The sales tax is 6.5%. If the original price for each pair of shoes was $35, how much does Yen Yen pay for the four pairs altogether?
a. $74.55
b. $105.00
c. $111.83
d. $149.10
c. $111.83
A store sells three varieties of cheese— cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles—shredded or sliced. If Ziva buys 120 random cheeses for a large work party, about how many of them would you expect to be shredded Gouda?
a.60
b. 24
c. 40
d. 20
d. 20
Katelyn makes a recipe that calls for 1 & 1/2 cups of flour and 3/4 stick of butter. If Katelyn uses 3 sticks of butter, how many cups of flour will she need?
a. 2 cups
b. 3 3/8 cups
c. 4 1/2 cups
d. 6 cups
d. 6 cups
A 12-section game wheel has a 25% probability that the pointer will land on green. What is the likelihood that the pointer will land on green?
a. It is certain the pointer will land on green.
b. It is neither likely nor unlikely the pointer will land on green.
c. It is likely the pointer will land on green.
d. It is unlikely the pointer will land on green.
d. It is unlikely the pointer will land on green.
Which inequality represents the following situation:
3/5 times 5 less than a number is less than 27.
a. 3/5(x - 5) > 27
b. 3/5x - 5 <27
c. 3/5(5 - x) >27
d. 3/5(x - 5)< 27
b. 3/5x - 5 <27
A cosmetics company tested a new lotion.
Of the 2,500 people tested, 15 had an allergic reaction.
What percent of the people tested did not have an allergic reaction to the new lotion?
a. 0.006%
b. 99.4%
c. 0.06%
d. 99.994%
b. 99.4%
Katelyn needs to buy cat food. At Save Rite, cat food costs $5.25 for 3 cans. Spend Less offers cat food at $7.50 for 5 cans. Katelyn buys 15 cans from the store with the lowest price. How much did she pay?
a. $8.57
b. $10.00
c. $22.50
d. $26.25
c. $22.50
Find the quotient: (- 10/19) divided by (-5/7)
a. -70/95
b. -14/19
c. 14/19
d. 70/95
c. 14/19
A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?
a. 5/45
b.11/45
c.12/45
d. 28/45
d. 28/45
Which expression is equivalent to:
1/2x + (-7) -2 1/4x - (-2)?
a. -1 3/4x - 5
b. 1 3/4x - 9
c. 3 3/4x - 9
d. 3 3/4x - 7
a. -1 3/4x - 5
Max borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Max pay back altogether?
a. $520
b.$2,080
c.$8,000
d. $10,080
d. $10,080
A national survey of middle-school students asks which subject is most challenging.
Which of these samples is a representative sample?
a. 372 sixth-graders in a certain town
b. 972 seventh-graders in a certain county
c. 619 eighth-graders in different states
d. 400 students from various states, representing different grades, 6–8
d. 400 students from various states, representing different grades, 6–8
In the first round of a gymnastics competition, Zoey is given a score of 2 2/11. Her score is later revised to account for the difficulty in that round. Her new score is 2 2/11 × 1 1/12
What is her new score? Give your answer as a mixed fraction.
2 4/11
Jiabao picked 10 letters of the alphabet from a hat. The results were:
H, J, X, A, N, O, I, N, B, C.
What is the experimental probability that Jiabao picked the letter N?
a. 0.04
b. 0.18
c. 0.10
d. 0.20
d. 0.20
A company owns two manufacturing plants with daily production levels of 8x + 17 widgets and 5x - 7 widgets, where x represents a minimum quantity.
How many more items does the first plant produce daily than the second plant?
a. 13x + 10 widgets
b. 3x + 10 widgets
c. 3x + 24 widgets
d. 13x - 10 widgets
b. 3x + 10 widgets
Hadassah bought a car for 5% off the selling price of $7,200. The sales tax for her state is 3.4%.
How much is the sales tax?
a.$232.56
b.$244.80
c. $257.04
d. $347.76
a.$232.56
Major League Baseball’s fastest recorded pitch is 105 miles per hour. The distance between the pitcher’s mound and home plate is 60 feet, 6 inches.
How long did it take the ball to travel from the pitcher to the batter? (5280 feet per mile and 12 inches in one foot.)
a. About 0.4 second
b. About 0.7 second
c. About 4 seconds
d. About 7 seconds
a. About 0.4 second
Curtis has baked 48 cookies.
1/6 of the muffins are chocolate.
1/4 of the muffins are blueberry.
1/3 of the muffins are lemon.
What fraction of the muffins are not chocolate, blueberry or lemon? Give your answer as a fraction in its simplest form.
3/12 or 1/4
For Sports Day, each 8th-grade homeroom designs a unique two- color T-shirt. They get to choose from the colors red (R), blue (B), green (G), violet (V), and orange (O).
Each T-shirt is a solid color with a different color used for the student’s name.
What is the probability that a homeroom will have a T-shirt with a combination of blue and violet?
a. P(B and V) = 10%
b. P(B and V) = 20%
c. P(B and V) = 30%
d. P(B and V) = 40%
a. P(B and V) = 10%
A gardener is installing fence around his garden.
Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8.
Which expression represents the length of the garden?
a. 2x + 2
b. 3x + 4
c. 6x + 8
d. 8x + 8 - 2x
b. 3x + 4
Mario sold a house for 20% more than he paid for it. If he sold the house for 252 000 guilders, what price did he originally buy the house for?
a. 50 400
b. 302 400
c. 201 600
d. 210 000
d. 210 000
The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F. In City 2, the range in temperature is 15°F and the IQR is 7°F. What might you conclude about the cities based on the ranges and interquartile ranges?
a. The weather patterns in City 1 and City 2 are equally consistent.
b. The weather pattern in City 2 is more consistent than the weather pattern in City 1.
c. The weather pattern in City 1 is more consistent than the weather pattern in City 2.
d. There is not enough information to make a conclusion
b. The weather pattern in City 2 is more consistent than the weather pattern in City 1.