6.PR.1 (Part 1)
What are the mathematical representations of a ratio?
a. even number, decimal, composite number
b. decimal, prime number, composite number
c. fraction, decimal, word form
d. word form, improper fraction, imaginary number
What is...
c. fraction, decimal, word form
A ratio table shows the number of hours studied to test points earned. Which conclusion is valid?
Example: 3hrs of Studying = 7/10 test points earned
A. The relationship is additive
B. The relationship is multiplicative
C. The ratio changes each time
D. There is no pattern
What is...
B. The relationship is multiplicative
A grocery store sells apples:
• 3 for $1.20
• 5 for $2.25
Which option is the better buy and why?
A. 3 for $1.20—lower total cost
B. 5 for $2.25—lower unit rate
C. Both are equal
What is...
B. 5 for $2.25—lower unit rate
A pack of 10 pencils costs $5. What is the unit price per pencil?
A. $0.10
B. $0.25
C. $0.50
D. $5.00
What is...
c. $0.50
A runner runs 12 miles in 3 hours. What is the unit rate?
A. 3 miles per hour
B. 4 miles per hour
C. 12 miles per hour
D. 36 miles per hour
What is...
B. 4 miles per hour
A classroom has 12 boys and 18 girls. Which statement correctly describes the ratio of boys to girls?
A. 12:18
B. 2:3
C. There are 12 boys for every 18 girls
D. Both B and C
What is...
D.
A recipe uses 4 cups of flour for every 5 cups of sugar. Which ratio represents flour to sugar?
A. 5:4
B. 4 to 5
C. 9:1
D. 5 ÷ 4
What is...
B. 4 to 5
A student claims that $2.50 for 5 items is cheaper than $3.00 for 6 items. Which justification is correct?
A. 5 is less than 6
B. $2.50 ÷ 5 < $3.00 ÷ 6
C. $3.00 is more money
D. Both are equal
What is...
B. $2.50 ÷ 5 < $3.00 ÷ 6
A 6-pack of juice costs $4.50. What is the cost per juice?
A. $0.65
B. $0.70
C. $0.75
D. $0.80
C. $0.75
A car travels 150 miles on 5 gallons of gas. What is the unit rate?
A. 30 miles per gallon
B. 25 miles per gallon
C. 5 miles per gallon
D. 750 miles per gallon
What is...
A. 30 miles per gallon
A map scale shows 1 inch represents 20 miles. Which statement uses precise ratio language?
A. Inches equal miles
B. 1 inch per 20 miles
C. For every 1 inch, there are 20 miles
D. 20 miles ÷ 1 inch
What is...
C. For every 1 inch, there are 20 miles
A bag contains 6 red marbles and 9 blue marbles. Which ratio is equivalent to red to blue?(Lowest Terms)
A. 6:9
B. 3:4
C. 2:3
D. 9:6
What is...
C. 2:3
A recipe uses a ratio of 3 cups rice to 4 cups beans. If the total mixture is 28 cups, how many cups are rice?
A. 12
B. 16
C. 21
D. 24
What is...
A. 12
A worker earns $84 for 7 hours of work. What is the unit rate?
A. $10/hr
B. $11/hr
C. $12/hr
D. $14/hr
What is...
C. $12/hr
A cyclist travels 45 miles in 1.5 hours. What is the speed?
A. 20 mph
B. 25 mph
C. 30 mph
D. 35 mph
What is...
C. 30 mph
A school’s ratio of laptops to students is 3:5. Which interpretation(s) are incorrect?
A. 3 students share 5 laptops
B. For every 3 laptops, there are 5 students
C. There are more laptops than students
D. Students are divided into groups of 3
What is...
A., D.
A punch mix has a ratio of 2 cups juice to 3 cups soda. Which is NOT equivalent?
A. 4:6
B. 6:9
C. 10:15
D. 5:6
What is...
D. 5:6
Which statement precisely describes the ratio 7:9?
A. There are 7 more than 9
B. For every 7 units of one quantity, there are 9 units of another
C. The total is 16
D. 7 ÷ 9 equals the ratio
What is...
B. For every 7 units of one quantity, there are 9 units of another
Which situation best represents a constant speed?
A. Distance increases but time stays the same
B. Distance and time increase proportionally
C. Time doubles but distance triples
D. Speed changes every mile
What is...
B. Distance and time increase proportionally
A 12-ounce box of cereal costs $3.60. What is the unit price per ounce?
A. $0.20
B. $0.25
C. $0.30
D. $0.40
What is...
C. $0.30
A student claims 6:10 and 3:5 are equivalent ratios. Which reasoning best supports the claim?
A. Both use the same numbers
B. Both ratios simplify to the same form
C. 6 + 10 = 16 and 3 + 5 = 8
D. They describe different quantities
What is...
B. Both ratios simplify to the same form
A science club has a ratio of microscopes to students of 2:7. If there are 21 students, how many microscopes are needed?
A. 3
B. 6
C. 14
D. 42
What is...
B. 6
Which reasoning explains how to find a unit rate?
A. Multiply both quantities
B. Divide the total by 1 unit
C. Divide to find the value for one unit
D. Add the quantities
What is...
C. Divide to find the value for one unit
Which unit rate best helps compare two different size packages?
A. Total cost
B. Total quantity
C. Cost per one unit
D. Number of items
What is...
C. Cost per one unit
A taxi charges $24 for 12 miles. Another charges $30 for 15 miles. Which is the better deal?
A. First taxi
B. Second taxi
C. Both cost the same per mile
D. Cannot be determined
What is...
C. Both cost the same per mile