Multiple Choice
6.RP.1
Prentice Hall Course 1 Mathematics Common Core, p. 309, #29
An adult cat has 12 fewer teeth than an adult dog. An adult dog has 42 teeth.
1. T FThe ratio of cat to dog teeth is 42:30
2. T FThe ratio of cat to dog teeth in simplest form is 5 to 7
3. T FThe ratio of cat to dog teeth is 12/42
4. T FThe ratio of cat to dog teeth is 30/42
5. T FThe ratio of cat to dog teeth is 12:54
6.RP.2
6. Which of the following ratios compares the number of headphones to the number of portable music players?
a. 5/11
b. 6 out of 11
c. 5:6
d. 6 to 5
6.RP.3
Prentice Hall Course 1 Mathematics Common Core, p. 310 #6
7. The ratio of girls to boys in a class is 6 to 8. Which of the following best describes this class?
a. There can only be 14 students in the class.
b. There are more girls than boys.
c. There could be 28 students in the class
d. For every 4 boys, there are 3 girls in the class.
6.RP.3a
Which of the following pair of ratios is proportional?
8. T F 56 fish = 24 fish
7 dogs 3 dogs
9. T F 3 hits = 4 hits
27 at bats 32 at bats
10. T F 7 laps = 12 laps
14 minutes 24 minutes
11. T F 16 shots = 6 shots
12 baskets 4 baskets
6.RP.3b
12. Which is a better buy?
1 taco for $.99 or 4 tacos for $3.40
Show your work:
Answer:______
6.RP.2, 6. RP. 3b
13. A runner ran 20 miles in 150 minutes. If she runs for 80 minutes how many miles will she run?
Answer:______
Explain:______
______
6.RP.3b
16. A glacier moves about 12 inches every 36 hours. About how far does the glacier move in 1 week?
a. 48 in.
b. 56 in.
c. 432 in.
d. 504 in.
6.RP.3d
17. Lilly takes 5 breaths every 10 seconds during yoga. At this rate, how many breaths would Lilly take in 2 minutes of yoga?
a. 10 breaths
b. 30 breaths
c. 40 breaths
d. 60 breaths
6.RP.3d
18. Alyssa was planning a business trip to Canada, so she went to the bank to exchange $400 U.S. dollars for Canadian (CDN) dollars (at a rate of $1.02 CDN per $1 US). On the way home from the bank, Alyssa’s boss called to say that the destination of the trip had changed to Mexico City. Alyssa went back to the bank to exchange her Canadian dollars for Mexican pesos (at a rate of 13.4 pesos per $1 CDN). How many Mexican pesos did Alyssa get?
a. How many Canadian dollars did she have?
Show your work:
b. How many Mexican pesos did she have?
Show your work:
6.RP.3d
19. Which would be the smallest container to hold the entire recipe of citrus punch?
Citrus Punch Drink2 cups orange juice
2 cups grapefruit juice
¼ cup apricot nectar
⅓ cup pineapple juice
4 cups ginger ale
a. 1 pint
b. 2 quarts
c. 3 quarts*
d. 1 gallon
Extended Response
6.RP.1
20. Students in Ms. Murray’s class played games after school.
9 boys played basketball
6 girls played basketball
3 boys played kickball
12 girls played kickball
Afterward, Ms. Murray asked the students to compare the boys and girls playing different games.
Jasmine said, “Six more girls played kickball than played basketball.”
Sam said, “For every girl that played basketball, two girls played kickball.”
Ms. Murray said, “Jasmine compared the girls by looking at the difference and Sam compared the girls using a ratio.”
1. Compare the number of boys who played basketball and kickball using the difference. Write your answer as a sentence as Jasmine did.
2. Compare the number of boys who played basketball and kickball using a ratio. Write your answer as a sentence as Sam did.
3. Compare the number of girls who played basketball to the number of boys who played basketball using a ratio. Write your answer as a sentence as Sam did.
Performance
6.RP.2
21. The grocery store sells chicken in bulk. The sign above the chicken says,
2 pounds for $5.
At this store, you can buy any number of pounds of chicken at this same rate, and all prices include tax.
Marcus said,
“The ratio of the number of dollars to the number of pounds is 5:2. That's $2.50 per pound.”
Beth said,
"The sign says the ratio of the number of pounds to the number of dollars is 2:5. That's 0.4 pounds per dollar."
1. Are Marcus and Beth both correct? Explain.
2. Salim needs three pounds of chicken to make soup. Show Salim how much money he will need.
3. Halima has $10 and wants to stock up on chicken. Show Halima how many pounds of chicken she can buy.
4. Do you prefer to answer parts (b) and (c) using Marcus's rate of $0.80 per pound, using Beth's rate of 1.25 pounds per dollar, or using another strategy? Explain.
6.RP.3a
Math Matters p169-170
22. Fill in the following table which shows equivalent ratios based on the polygon chain consisting of 2 rhombi and 3 hexagons?
Number of Chains / Number of triangles / Number of trapezoids / Ration of triangles to trapezoids1 / 2 / 3 / 2:3
2
3
4
18
135
32:48
Plot the ratios on the coordinate plane.
6.RP.3d
23. On Monday, it snowed a total of 15 inches. On Tuesday and Wednesday, it snowed an additional 4 ½ inches and 6 ¾ inches, respectively. A weather forecaster says that over the last three days, it snowed over 2 ½ feet. Is this a valid claim? Justify your answer.
Day of the Week / Amount of Snowfall (in.)Monday / 15
Tuesday / 4 ½
Wednesday / 6 3/4
A weather forecaster looked at the table above, then stated “Over the last three days, it snowed more than 2 ½ feet.” Is this a valid claim? Justify your answer.
[1]
[2]
[1]kwolfr62:
what do you think so far?
[2]Mary_Beth Murray:
your perseverance is inspiring! keep working!!