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Proportional Reasoning-2: Practice 4

Section A: Core Practice

Question 1mcq
Scale the ratio 3:43:4 by a factor of 55. What is the new ratio?
A.3:203:20
B.20:1520:15
C.8:98:9
D.15:2015:20
Question 2mcq
A problem involves more workers, fewer hours, and the same amount of work. What is the best strategy?
A.Add all numbers together.
B.Ignore the fixed amount of work.
C.Assume every quantity increases together.
D.It mixes two proportional relationships, so handle one relationship at a time.
Question 3mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.2525%
B.6060%
C.3535%
D.44%
Question 4mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.44%
B.2525%
C.180180%
D.3535%
Question 5mcq
A sector represents 2525% of a pie chart. What is its central angle?
A.2525^\circ
B.110110^\circ
C.335335^\circ
D.9090^\circ
Question 6mcq
88 workers finish a task in 1212 hours. At the same rate, how long will 1616 workers take?
A.2424 hours
B.1414 hours
C.9696 hours
D.66 hours

Section B: Reasoning and Application

Question 7mcq
55 workers finish a task in 1616 hours. At the same rate, how long will 1010 workers take?
A.1818 hours
B.3232 hours
C.88 hours
D.8080 hours
Question 8mcq
Which statement correctly compares direct and inverse proportion?
A.Direct proportion has a constant ratio; inverse proportion has a constant product.
B.Direct proportion has a constant product.
C.Both always have a constant sum.
D.Inverse proportion means both quantities increase together.
Question 9mcq
Scale the ratio 3:43:4 by a factor of 55. What is the new ratio?
A.15:2015:20
B.8:98:9
C.3:203:20
D.20:1520:15
Question 10mcq
A problem involves more workers, fewer hours, and the same amount of work. What is the best strategy?
A.Assume every quantity increases together.
B.It mixes two proportional relationships, so handle one relationship at a time.
C.Add all numbers together.
D.Ignore the fixed amount of work.
Question 11mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.6060%
B.2525%
C.3535%
D.44%
Question 12mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.3535%
B.180180%
C.44%
D.2525%