Topic 9 Study Guide
1.Use the table below. On which two days did Kayla run the same distance?
Distances Kayla Ran Last WeekDay / Monday / Tuesday / Wednesday / Thursday / Friday
Distance (Miles) / / / / /
A.Monday and Thursday B.Monday and Wednesday
C.Tuesday and Thursday D.Tuesday and Friday
2.Seventy-two out of 90 students participate in band. What fraction of the students participate in band?
A. B. C. D.
3.Which two fractions are equivalent to ?
A., B., C., D.,
4.Seventy-eight out of 208 students participated in the speech competition. What fraction of the students participated in the speech competition?
A. B. C. D.
5.Use the table below. On which two days did Nicholas make the same fraction of his free throws during practice?
Free Throws MadeDay / Monday / Tuesday / Wednesday / Thursday / Friday
Number of Free Throws Made / / / / /
A.Monday and Thursday B.Tuesday and Wednesday
C.Wednesday and Thursday D.Tuesday and Friday
1.Which fraction is in simplest form?
A. B. C. D.
2.Which fraction is in simplest form?
A. B. C. D.
3.Which fraction is in simplest form?
A. B. C. D.
4.Which fraction is in simplest form?
A. B. C. D.
5.Which fraction is in simplest form?
A. B. C. D.
1.The wall that Tim is painting is shown below. If the area of the wall that he has painted so far is 108 square feet, which is the best estimate for the total area of the wall?
- The painted part of the wall is about of the total wall, so the area of the wall is about 108 × 5, or 540 square feet.
B.The painted part of the wall is about of the total wall, so the area of the wall is about 108 × 3, or 324 square feet.
C.The painted part of the wall is about of the total area, so the area of the wall is about 108 ÷ 5, or 21 square feet.
D.The painted part of the wall is about of the total area, so the area of the wall is about 108 ÷ 3, or 36 square feet.
2.The layout of Mr. William’s farm is shown below. If the area where the tomatoes are planted is 170 square feet, which is the best estimate for the total area of the farm?
- The tomato section is about of the total area, so the area of the farm is about 170 × 4, or 680 square feet.
- The tomato section is about of the total area, so the area of the farm is about 170 ÷ 4, or 43 square feet.
- The tomato section is about of the total area, so the area of the farm is about 170 × 5, or 850 square feet.
- The tomato section is about of the total area, so the area of the farm is about 170 ÷ 5, or 34 square feet.
3.The floor plan for the second floor of Jane’s house is shown below. If the area of the master bedroom is 250 square feet, which is the best estimate for the total area of the second floor of the house?
A.The master bedroom is about of the total area, so the area of the second floor is about 250 × 2, or 500 square feet.
B.The master bedroom is about of the total area, so the area of the second floor is about 250 ÷ 2, or 125 square feet.
C.The master bedroom is about of the total area, so the area of the second floor is about 250 × 3, or 750 square feet.
D.The master bedroom is about of the total area, so the area of the second floor is about 250 ÷ 3, or 83 square feet.
4.A librarian is putting hardcover books on a bookshelf. The books are all about the same size. If she can fit 42 books on the top shelf, estimate the total number of books she will be able to put on the whole bookshelf.
- The top shelf can hold about of the books, so the total number of books is 42 × 4 or 168 books.
- The top shelf can hold about of the books, so the total number of books is 42 × 3 or 126 books.
- The top shelf can hold about of the total books, so the total number of books is 42 ÷ 4 or 10 books.
- The top shelf can hold about of the total books, so the total number of books is 42 ÷ 3 or 14 books.
5.A developer just purchased some land and has chosen to divide it up as shown below. Each lot of land is the same size. If lot 1 is 1,800 square feet, estimate the total area of the land purchased.
A.Lot 1 has about of the total area, so the total area is 1,800 ÷ 5 or 360 square feet.
- Lot 1 has about of the total area, so the total area is 1,800 × 5 or 9,000 square feet.
- Lot 1 has about of the total area, so the total area is 1,800 ÷ 6 or 300 square feet
- Lot 1 has about of the total area, so the total area is 1,800 × 6 or 10,800 square feet.
1.Which fraction can be replaced with 1/2 when estimating with fractions?
A.1/8 B.2/9 C.7/16 D.10/12
2.Which fraction can be replaced with 0 when estimating with fractions?
A.1/5 B.¾ C.8/20 D.4/9
3.Which is the BEST estimate for the sum 5/12 + 2/5?
A.0 + 0 = 0 B.1/2 + 0 = ½ C.1 + 1 = 2 D.1/2 + 1/2 = 1
4.Which is the BEST estimate for the difference 7/8 - 4/9?
A.1 - 1 = 0 B.1/2 - 1/2 = 0 C.1 - 1/2 = ½ D.0 - 0 = 0
5.Which is the BEST estimate for the sum 2/9 + 10/11?
A.0 + 1 = 1 B.1 + 1 = 2 C.0 + 0 = 0 D.1/2 + 1/2 = 1
1.Which of the following pairs of numbers have a least common multiple of 24?
A.2 and 12 B.3 and 8 C.4 and 6 D.4 and 8
2.Which of the following pairs of numbers have a least common multiple of 72?
A.8 and 9 B.6 and 12 C.4 and 18 D.2 and 36
3.The table shows the different packages of juice drink cartons available at the market where the Kendalls shop. What is the least number of packages of Great Grape and Apple Smile that they can buy so that they will have the same number of cartons of each?
A.6 packages of Great Grape,10 packages of Apple Smile
B.10 packages of Great Grape, 6 packages of Apple Smile
C.5 packages of Great Grape, 3 packages of Apple Smile
D.3 packages of Great Grape, 5 packages of Apple Smile
4.The table shows the different packages of golf balls available at the sporting goods store where Rebecca shops. What is the least number of packages of ProStyle golf balls and Long Shot golf balls that Rebecca can buy so that she will have the same number of each type of golf ball?
Brand / Golf Balls in PackageLong Shot / 4
T-Time / 8
ProStyle / 6
A.3 packages of Long Shot, 2 packages of ProStyle
B.2 packages of Long Shot, 3 packages of ProStyle
C.6 packages of Long Shot, 4 packages of ProStyle
D.4 packages of Long Shot, 6 packages of ProStyle
5.The table shows the different packages of fruit snacks available at the market. What is the smallest number of packages of tropical fruit and strawberry fruit snacks that Yanira can buy so that she will have the same number of each flavor?
Flavor / Bags in PackageStrawberry / 12
Grape / 10
Tropical Fruit / 18
A.4 strawberry, 2 tropical fruit B.3 strawberry, 2 tropical fruit
C.2 strawberry, 3 tropical fruit D.6 strawberry, 4 tropical fruit
1.Which of the following is a common denominator of 3/4 and 5/6?
A.6 B.8 C.10 D.12
2.Which of the following is NOT a common denominator of 2/5 and 3/10?
A.5 B.10 C.20 D.30
3.Which of the following correctly renames 2/3 and 1/2 using a common denominator?
A.2/6 and 1/6 B.3/6 and 2/6 C.4/6 and 3/6 D.4/6 and 6/12
4.Which correctly renames 7/8 and 5/6 using a common denominator?
A.14/16 and 15/18 B.28/24 and 20/24 C.42/48 and 40/48 D.42/48 and 30/48
5.Which of the following is a common denominator of 3/4 and 1/5?
A.20 B.15 C.30 D.35
1.Of the shapes shown, are circles and are rectangles. What fraction of the shapes are either circles or rectangles?
A. B. C. D.
2.Melinda has of a bag of flour. If she uses of a bag of flour to make a batter, how much flour is left?
A.bag B.bag C.bag D.bag
3.Wes bought pound of pistachios. If he put pound out for his friends, what amount of pistachios does Wes have left?
A.pound B.pound C.pound D.pound
4.The distance from Alison’s house to the mailbox is mile. The distance from the mailbox to the bus stop is mile. What is the total distance from Alison’s house to the bus stop?
A.mile B.mile C.mile D.mile
5.Malcolm spent day on Saturday playing soccer and day at a friend’s house. What fraction of the day did Malcolm spend at his friend’s house or playing soccer?
A.day B.day C.day D.day
1.Kerry and her brother notice there is of a pint of ice cream in the freezer. After they eat some ice cream there is of a pint left. How much ice cream did Kerry and her brother eat?
A.pint B.pint C.pint D.pint
- Libby’s dog stands yard tall, and Jeff’s dog stands yard tall. How much taller is Jeff’s dog than Libby’s dog?
- A.yard B.yard C.yard D.yard
3.Tom and Dan entered a pie eating contest. Tom ate of a pie and Dan ate of a pie. How much more pie did Tom eat than Dan?
A. B. C. D.
4.Lee and Joanne wanted to see who could bike the farthest in 2 minutes. Lee rode her bike mile and Joanne rode her bike mile. How much farther did Joanne ride?
A.mile B.mile C.mile D.mile
5.Lukas used of a can of paint on a table. He used of another can of paint on a chair. How much more paint did Lukas use on the table?
A.of a can B.of a can C.of a can D.of a can
1.What is the sum of 1/3 + 1/3 + 1/8?
A.3/14 B.3/11 C.19/24 D.6/8
2.What is the difference of 7/8 - 1/3?
A.6/5 B.8/11 C.6/8 D.13/24
3.A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar. From this sugar mixture, set aside 1/4 cup for the crumb topping. The remaining sugar mixture is used to make the cake. What amount of the sugar mixture is used to make the cake?
A.11/24 cup B.1/2 cup C.7/12 cup D.17/24 cup
4.Owen and Bella shared a granola bar. Bella ate 1/4 of the granola bar. Owen ate 1/3 of the bar. How much did Owen and Bella eat combined?
A.2/7 B.7/12 C.15/24 D.23/24
5.Owen and Bella shared a granola bar. Bella ate 1/4 of the granola bar. Owen ate 1/3 of the bar. How much of the granola bar did Owen and Bella leave uneaten?
A.1/24 B.5/7 C.3/8 D.5/12
1.Jake mixed cup of cashews with cup of peanuts. How much of the nut mixture does he have altogether? Write the answer in simplest form.
A.cup of nuts B.cup of nuts C.cup of nuts D.cup of nuts
2.Sol studied of an hour for the vocabulary test and Rebecca studied an hour for the same test. How much longer did Rebecca study than Sol? Write the answer in simplest form.
A.hour B.hour C.hour D.hour
3.Mariko ate of a pizza for lunch one day and of the same pizza for lunch the next day. How much pizza did Mariko eat altogether? Write the answer in simplest form.
A.of a pizza B.of a pizza C.of a pizza D.of a pizza
4.One cake recipe called for of a cup of sugar and another cake recipe called for of a cup of sugar. How much more sugar did the first recipe call for than the second? Write the answer in simplest form.
A.cup B.cup C.cup D.cup
5.Lou wrote of her paper on Monday and of her paper on Tuesday. How much more of her paper did she write on Tuesday than on Monday? Write the answer in simplest form.
A.of the paper B.of the paper C.of the paper D.of the paper