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Homework Practice

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Proportional Reasoning-2: Practice 1

Section A: Core Practice

Question 1mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.3535%
B.2525%
C.44%
D.6060%
Question 2mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.2525%
B.3535%
C.180180%
D.44%
Question 3mcq
A sector represents 2525% of a pie chart. What is its central angle?
A.110∘110^\circ
B.90∘90^\circ
C.335∘335^\circ
D.25∘25^\circ
Question 4mcq
88 workers finish a task in 1212 hours. At the same rate, how long will 1616 workers take?
A.1414 hours
B.66 hours
C.9696 hours
D.2424 hours
Question 5mcq
55 workers finish a task in 1616 hours. At the same rate, how long will 1010 workers take?
A.88 hours
B.1818 hours
C.8080 hours
D.3232 hours
Question 6mcq
Which statement correctly compares direct and inverse proportion?
A.Direct proportion has a constant product.
B.Direct proportion has a constant ratio; inverse proportion has a constant product.
C.Inverse proportion means both quantities increase together.
D.Both always have a constant sum.

Section B: Reasoning and Application

Question 7mcq
Scale the ratio 3:43:4 by a factor of 55. What is the new ratio?
A.8:98:9
B.3:203:20
C.20:1520:15
D.15:2015:20
Question 8mcq
A problem involves more workers, fewer hours, and the same amount of work. What is the best strategy?
A.Ignore the fixed amount of work.
B.Assume every quantity increases together.
C.Add all numbers together.
D.It mixes two proportional relationships, so handle one relationship at a time.
Question 9mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.6060%
B.44%
C.3535%
D.2525%
Question 10mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.180180%
B.2525%
C.44%
D.3535%
Question 11mcq
A sector represents 2525% of a pie chart. What is its central angle?
A.25∘25^\circ
B.335∘335^\circ
C.110∘110^\circ
D.90∘90^\circ
Question 12mcq
88 workers finish a task in 1212 hours. At the same rate, how long will 1616 workers take?
A.2424 hours
B.66 hours
C.1414 hours
D.9696 hours