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STUDY GUIDE – TEST on FRDIAY 9/18/15
Numeric Response
Enter the appropriate value to answer the question or solve the problem.
1. On his fruit stand, Mr. Roberts has 13 papayas, 23 star fruits, 35 mangos, and 19 strawberries. What is the ratio
of the number of mangos to the total number of pieces of fruit?
2. Maggie’s grandmother uses 16 limes to make 2 key lime pies. At this rate, how many limes does she need to
make 6 key lime pies?
3. Ms. Sims traveled to 42 countries in 60 days. At this rate, how many countries would she travel to in 40 days?
4. Suppose 40 out of 90 people are bowlers and 3 out of every 16 of the bowlers have their own bowling ball. At
the same rates, in a group of 192 people, predict how many you would expect to have a bowling ball.
5. A particular amusement park ride will make 156 revolutions in 180 seconds. At this rate, how many revolutions
will it make in 2 minutes?
6. The costume designer for the school play uses 4 feet of fabric to make 8 costumes. At the same rate, how
many costumes can the designer make with 4 yards of fabric?
Solve each problem. Write in simplest form.
7. A cooler contains
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cups of fruit juice. How many pints of fruit juice does the cooler contain?
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STUDY GUIDE – TEST on FRDIAY 9/18/15
8. Sophia downloaded 592 vacation pictures. Of the pictures, 63% show the beach. About how many pictures
show the beach? Use a rate per 100 to estimate.
Find the percent of each number.
9. 92% of 85
Subjective Short Answer
10. In a certain area, there are 35 houses to 55 businesses. Write the ratio of houses to businesses as a fraction in
simplest form. Then explain its meaning.
11. The table shows results of a survey about the types of video games students own. Find the ratio of the number
of video games rated Everyone 10+ to the total number of video games.
Write each ratio as a unit rate.
12. 162 heartbeats in 60 seconds
13. 216 diving students to 12 instructors
14. 630 meters in 18 seconds
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STUDY GUIDE – TEST on FRIDAY 9/18/15
15. After working for 25 hours, Lamar made $375. After working for 40 hours, Lamar made $600. Predict how
much he would make after 10 hours of work.
16. Determine if the rates $168 raised for washing 24 cars and $280 raised for washing 40 cars are equivalent.
Explain your reasoning.
17. Nina can type 45 words per minute. Write the ordered pairs (number of minutes, number of words) Nina can
type for 0, 1, 2, and 3 minutes.
18. Jana has $5. She wants to buy a notebook for $4.50. The sales tax is 7%. Does she have enough money?
Explain your reasoning.
Essay
Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include
all relevant drawings and justify your answers. You may show your solution in more than one way or
investigate beyond the requirements of the problem. If necessary, record your answer on another
piece of paper.
19. a. Tell in your own words the meaning of ratio.
b. Give an example of a ratio. Write the ratio in four ways.
c. Tell in your own words the meanings of rate and unit rate. Give an example of a unit rate and an example of
a rate that is not a unit rate.
d. Tell in your own words the meaning of equivalent ratios.
e. Write a word problem that you can solve by using equivalent ratios.
f. Solve the word problem in part e . Explain each step.
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STUDY GUIDE – TEST on FRIDAY 9/18/15
20. FINANCIAL LITERACY The U.S. dollar can be exchanged for other types of currency in the world. The
exchange rate is always changing. Suppose 1 euro is equivalent to $2.
a. Describe what is meant by the numbers in the first column of the table.
b. How much will 2 euros cost in U.S. dollars? 5 euros? 10 euros?
c. How many euros is equivalent to $30? Tell how you found your answer.
d. List the information in the table as ordered pairs (euro, U.S. dollar).
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Answer Key
1.
7
18
2. 48
3. 28
4. 16
5. 104
6. 24
7.
3
6
4
8. 378
9. 78.2
10.
; For every 7 houses, there are 11 businesses.
11.
12.
13.
14.
15. $150
16. Yes; the unit rates are the same,
17. (0, 0), (1, 45), (2, 90), (3, 135)
18. yes; Her total cost is $4.82.
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STUDY GUIDE – TEST on FRIDAY 9/18/15
19. a. A ratio is the comparison of two numbers by division.
b. 3 out of 4, 3:4, 3 to 4,
c. A rate is a ratio that compares two different units of measure. A unit rate is a rate that is in the per unit form. A
unit rate is written with a denominator of 1. An example of a unit rate is 50 miles in 1 hour or 50 miles per hour. An
example of rate that is not a unit rate is 50 miles in 2 hours.
d. Equivalent ratios express the same relationship between two quantities.
e. Sample answer: If two out of five students in Mrs. Junkin’s class have a dog, predict how many of the 200
students in the school have a dog.
f.
So, about 80 students out of the 200 students can be expected to have a dog.
20. a. Sample answer: The exchange rate is such that 1 euro will cost $2.00.
b. $4.00; $10.00; $20.00
c. 15; Sample answer: Divide 30 by 2.
d. (1, 2), (2, 4), (5, 10), (10, 20)
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