MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
Name:
Date:
Answer Key
Unit 3 Assignment
Award points for answers as shown below. Starter feedback for correct and incorrect answers is in red. Use or adapt
the feedback in this Answer Key as you grade each student paper. If you have suggestions for improving this key, send
them to curriculum_support@k12.com.
Solve the following problems:
(1 point)
1. Choose the answer that correctly expresses this ratio in fraction form. 36:54
2
3
36
54
12
18
6
9
2
Answer: 3
(1 point)
2. Choose the answer that correctly expresses this ratio in simplest fraction form. 25 to 50
5
10
25
50
1
2
50
25
1
Answer: 2
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Page 1 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
3. Write a ratio that correctly compares a class that has 12 girls out of 23 total students.
12
Answer: 12 to 23 or 12:23 or 23
(1 point)
4. What is the unit rate in this problem? The car went 450 miles and used 15 gallons of gas.
Answer: 30 miles per gallon
(1 point)
5. The legend of a map says that .5 inches is equal to 10 miles on the map. If a highway on the map is 1.75
inches long, how long is the actual highway?
Answer: 35 miles
(1 point)
6. Change .145 to a percent.
Answer: 14.5%
(1 point)
7. Change 72% to a decimal.
Answer: 0.72
(1 point)
8. Change 125% into a fraction.
1
Answer: 122
(1 point)
9. Find 30% of 60.
Answer: 18
(1 point)
10. Find 80% of 300.
Answer: 240
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Page 2 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
11. Of 3,000 pet owners surveyed, 15% adopted their pets from an animal shelter. How many pets were
adopted from an animal shelter?
Answer: 450 pets
(1 point)
12. To maintain a healthy diet, no more than 30% of calories consumed each day should come from fat. A
normal, healthy teenage girl needs about 2,000 calories each day. How many calories should come from
sources other than fat in a teenage girl's diet each day?
Answer: 1400 calories
(1 point)
13. What is the probability of rolling an even number on a standard 6-sided die?
1
6
1
3
1
4
1
2
1
Answer: 2
(1 point)
14. What is the probability of rolling any number except for three on a standard 6-sided die?
5
6
2
3
1
6
1
3
5
Answer: 6
(1 point)
15. True or false: A probability of 0 means that an event is possible.
Answer: false
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Page 3 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
16. A bag contains 12 marbles. Three of the marbles are green. What is the probability you will choose a
green marble from the bag? Express as a fraction.
1
Answer: 4
(1 point)
17. True or false: The probability of an event occurring is
8
. The chances of the event occurring are
15
greater than the chances of the event not occurring.
Answer: true
(1 point)
18. Write an integer that represents this situation (be sure to include + or -): weight gain of 10 pounds
Answer: +10
(1 point)
19. Write an integer that represents this situation (be sure to include + or -): a 15 yard loss in football
Answer: -15
(1 point)
20. +11 + (+6) =
Answer: 17
(1 point)
21. -15 + (+23) =
Answer: 8
(1 point)
22. 5 − (-10) =
Answer: 15
(1 point)
23. -12 – 9 =
Answer: -21
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Page 4 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
24. Katie earns money by selling lemonade. She keeps track of how much she spends and makes each
weekend. The following are her profits and expenses: -$3, +$4, -$3, +$6,
-$2, +$5, -$6, +$12. How much money did Katie make or lose this weekend?
Answer: +$13
(1 point)
25. The average temperature on the surface of the earth is 15 degrees. On the surface of Mars, the average
temperature is -50 degrees. What is the difference in these two temperatures?
Answer: 65 degrees
(1 point)
26. What is the name of the horizontal axis on a coordinate grid?
point of origin
x-axis
y-axis
Answer: x-axis
(1 point)
27. What is the name of the vertical axis on a coordinate grid?
point of origin
x-axis
y-axis
Answer: y-axis
(1 point)
28. What name is given to the ordered pair (0, 0)?
point of origin
x-axis
y-axis
Answer: point of origin
(1 point)
29. True or false, y-values above the point of origin on the y-axis are always positive.
Answer: true
(1 point)
30. Write this number in standard form. three hundred fifty thousand
Answer: 350,000
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Page 5 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
31. Write this number in standard form. four and thirty one hundredths
Answer: 4.31
(1 point)
32. Write this number in standard form. 4,000,000 + 300,000 + 6,000 + 500 + 7
Answer: 4,306,507
(1 point)
33. Astronaut Shannon Lucid holds the world record for the longest stay in space by a woman. She lived
aboard the Russian space station Mir for 188 days. Write the number in word form.
Answer: one hundred eighty-eight
(1 point)
34. As a safeguard against error, the dollar amount on a check is written in both standard form and in words.
Write the dollar amount of six thousand, six hundred forty-one dollars and forty cents. Write this number
in standard form.
Answer: $6,641.40
(1 point)
35. Write the number in standard notation. 3.25  103
Answer: 3250
(1 point)
36. Write the number in standard notation.
 6  10    8  10 
2
3
Answer: 8600
(1 point)
37. Write this number in standard notation. four hundred twenty and three tenths
Answer: 420.3
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Page 6 of 7
MTH011A |Math Foundations II | Unit 3 Graded Assignment| Ratio, Proportion, and Decimals
(1 point)
38. The circulation of a popular magazine is about 1,100,000. What is the correct scientific notation
of this number?
1.1 106
11 106
1.1 106
Answer: 1.1 x 106
(1 point)
39. There are 5,280 feet in one mile. What is the correct scientific notation of this number?
5.28  103
52.8  103
5.28  103
Answer: 5.28 x 103
(1 point)
40. Write this number in standard notation. ten thousand one hundred forty-two and nine tenths
Answer: 10,142.9
Your Score
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