Exam: 05.08 Ratios and Rates Practice Exam
Exam: 05.08 Ratios and Rates Practice Exam
Student Name: Joanie Klema
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Question 1(Multiple Choice Worth 2 points)
(Three-Column Tables MC)
A three-column table is given.
Part A C D
Part 30 36 46
Whole B 54 69
What is the value of B in the table?
45
50
18
23
Question 2(Multiple Choice Worth 2 points)
(Ratios MC)
Zachariah and Khai collect stamps. Zachariah has 9 American stamps out of 15 stamps. Khai has 13 American stamps out of 20 stamps. Which statement is correct?
Zachariah has a higher ratio of American stamps than Khai because 9 over 15 is greater than 13 over 20.
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is greater than 13 over 20.
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.
Zachariah and Khai have the same ratio of American stamps.
Question 3(Multiple Choice Worth 2 points)
(Percentages MC)
35% of 40 is what value?
5
12
14
23
Question 4(Multiple Choice Worth 2 points)
(Two-Column Tables MC)
Sidney made root beer floats for her friends when they came over. The table shows the ratio of cups of ice cream to cups of soda used to make the floats.
Ice Cream (cups) Soda (cups)
3.5 10.5
8 24
12.5 37.5
15 ?
At this rate, how much soda will Sidney use for 15 cups of ice cream?
30 cups
35 cups
40 cups
45 cups
Question 5(Multiple Choice Worth 2 points)
(Proportional Relationships MC)
A recipe calls for 2 cups of flour to make 12 cookies. If you want to make 24 cookies, how many cups of flour do you need?
2 cups
3 cups
4 cups
6 cups
Question 1:
To find the value of B in the table, we can use the formula:
Part A / Part C = Whole B / Part D
Given values in the table:
Part A = 30, Part C = 36, Part D = 46
Plugging in the values:
30 / 36 = B / 46
To solve for B, we can cross-multiply:
30 * 46 = 36 * B
1380 = 36B
Divide both sides by 36 to isolate B:
B = 1380 / 36
B ≈ 38.33
So, the value of B in the table is approximately 38.33. However, since B represents a whole number in the table, we can conclude that B is 38.
Answer: B = 38
Question 2:
To compare the ratios of American stamps collected by Zachariah and Khai, we can simplify the ratios:
Zachariah: 9/15 = 3/5
Khai: 13/20
To compare these fractions, we can find a common denominator for 5 and 20, which is 20.
Zachariah: (3/5) * (4/4) = 12/20
Khai: 13/20
Now we can see that Khai has a higher ratio of American stamps because 13/20 is greater than 12/20.
Answer: Khai has a higher ratio of American stamps than Zachariah.
Question 3:
To find 35% of 40, we can use the formula:
Percentage * Number = Value
Plugging in the values:
35% * 40 = Value
To solve for Value, we can convert the percentage to a decimal:
35% = 35/100 = 0.35
0.35 * 40 = Value
Value = 14
So, 35% of 40 is equal to 14.
Answer: 14
Question 4:
To find how much soda Sidney will use for 15 cups of ice cream, we can create a ratio using the given values:
Ice Cream (cups) Soda (cups)
3.5 10.5
8 24
12.5 37.5
We can see that for every 3.5 cups of ice cream, Sidney uses 10.5 cups of soda. This means the ratio is constant.
To find how much soda Sidney will use for 15 cups of ice cream, we can set up the following equation:
3.5 / 10.5 = 15 / X
To solve for X, we can cross-multiply:
3.5 * X = 10.5 * 15
3.5X = 157.5
Divide both sides by 3.5 to isolate X:
X = 157.5 / 3.5
X = 45
So, Sidney will use 45 cups of soda for 15 cups of ice cream.
Answer: 45 cups