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Proportional Reasoning-2: Practice 3

Section A: Core Practice

Question 1mcq
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.3232 hours
D.8080 hours
Question 2mcq
Which statement correctly compares direct and inverse proportion?
A.Inverse proportion means both quantities increase together.
B.Direct proportion has a constant product.
C.Direct proportion has a constant ratio; inverse proportion has a constant product.
D.Both always have a constant sum.
Question 3mcq
Scale the ratio 3:43:4 by a factor of 55. What is the new ratio?
A.3:203:20
B.8:98:9
C.20:1520:15
D.15:2015:20
Question 4mcq
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.It mixes two proportional relationships, so handle one relationship at a time.
D.Assume every quantity increases together.
Question 5mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.6060%
B.3535%
C.44%
D.2525%
Question 6mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.180180%
B.3535%
C.44%
D.2525%

Section B: Reasoning and Application

Question 7mcq
A sector represents 2525% of a pie chart. What is its central angle?
A.335∘335^\circ
B.90∘90^\circ
C.25∘25^\circ
D.110∘110^\circ
Question 8mcq
88 workers finish a task in 1212 hours. At the same rate, how long will 1616 workers take?
A.1414 hours
B.2424 hours
C.9696 hours
D.66 hours
Question 9mcq
55 workers finish a task in 1616 hours. At the same rate, how long will 1010 workers take?
A.88 hours
B.3232 hours
C.1818 hours
D.8080 hours
Question 10mcq
Which statement correctly compares direct and inverse proportion?
A.Inverse proportion means both quantities increase together.
B.Both always have a constant sum.
C.Direct proportion has a constant ratio; inverse proportion has a constant product.
D.Direct proportion has a constant product.
Question 11mcq
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.15:2015:20
D.8:98:9
Question 12mcq
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.Add all numbers together.
C.Assume every quantity increases together.
D.It mixes two proportional relationships, so handle one relationship at a time.