Chapter 0
Find the LCM (least common multiple) of 9 and 15.
45
Oscar is 16 years old and his sister Julia is 12 years old. What will be the ratio of Oscar’s age to Julia’s age in 2 years? Write as a fraction in simplest form.
9/7
Write 3.8% as a decimal.
0.038
Jorge is buying new tools for his tool box. He wants to purchase a $19.97 hammer, $24.99 wrench, $59.25 drill. If he has $110 in his wallet, how much change will he receive?
$5.79
Tina lives 1 1/2 miles from the library. Amanda lives 4/5 of a mile from the library. How much further from the library does Tina live compared to Amanda?
7/10 of a mile
Find the GCF (greatest common factor) of 30, 42, and 48.
6
It took Kevin 270 minutes to jog 6 laps. How many minutes did it take to jog each lap at this rate?
45 minutes
The library surveyed 180 people about their favorite type of movie. If 40% of the people chose action, how many people chose action?
72 people
Lisa solved 416 math problems for homework over 26 days. If she solved the same number of problems each day, how many problems did she solve per day?
16 problems per day
It took Jeremy 2 5/6 hours to drive to Wildwood, NJ. It took Courtney 5 times as long to drive to Atlanta, GA. How long did it take Courtney to drive to Atlanta?
14 1/6 hours
In a clock, a large-sized gear completes a rotation every 45 seconds and a medium-sized gear completes a rotation every 60 seconds. If the gears are aligned now, how many minutes will pass before the gears are aligned again?
3 minutes (which is 180 seconds)
A customer at a raceway can drive around the track 54 times for $12. At this rate, how many times can the customer drive around the track for $8?
36 times
The original price of a pair of jeans is $40. The sale price is 15% off the original price. What is the amount of the discount?
$6
Roberto uses three 14.7-ounce cans of chicken broth when he makes his tortilla soup. How many total ounces of chicken broth does he use?
44.1 ounces
James read 5/7 of the pages in his book, which is 168 pages long. How many pages did he read already? Write a number sentence to support your answer and label your answer.
5/7 x 168 = 120
James read 120 pages already.
Ramon is thinking of a 3-digit whole number with all even digits, and none of the digits are the same. His number is between 600-750 and it is divisible by 3. The digit in the tens place is 8. What number is Ramon thinking of?
684
On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.
Yes, they are equivalent because they have the same unit rate. Their unit rate is 60 miles per hour.
Jeff got a 23/25 on his first math test, Brianna earned a 93% on their second test, and Amara received a 0.89 on her test. Who had the highest average on their test?
Brianna
Nikki is buying some refrigerator magnets for her friends. Her total bill is $16.80. If magnets are $0.80 each, how many magnets is she buying?
21 magnets
Carmelo has 15 gallons of paint. He plans on using 1 1/4 gallons in each room. How many rooms will he be able to paint?
12 rooms
Abe is going to plant 24 oak trees and 16 pine trees. He would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees that Abe can have in each row? How many rows of oak trees will there be? How many rows of pine trees will there be?
8 trees in each row. 3 rows of oak trees and 2 rows of pine trees.
A sewing club used 48 feet of fabric to make 8 blankets. At this rate, how many blankets can be made from 12 yards of fabric? (Hint: 3 ft = 1 yd)
6 blankets
During a basketball game, Dallen attempted 20 shots and made 7. He says he made 35% of the shots he took. Is Dallen correct? Explain your reasoning.
Yes, Dallen is correct. 7/20 is equivalent to 35/100 which is 35%.
A 3-pack of boxes of juice costs $1.08. A 12-pack of boxes costs $4.44. A case of 24 boxes costs $9.12. Which is the better buy? Explain your reasoning.
The 3-pack. It has the lowest unit price ($0.36). The others are $0.37 and $0.38 per juice box. OR can scale up the 3-pack and 12-pack to be 24 juice boxes. In that case, the 3-pack would be $8.64 and the 12-pack would be $8.88.
Ms. Sherman is building a deck that is 5 1/4 yards long and 7 5/7 yards wide. What is the area of her deck? (A = L * W)
40 1/2 yd2