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Proportional Reasoning-2: Final Assessment

Section A: Concepts

Question 1mcq
In a pie chart, 9090 out of 360360 students chose sports. What percent is this?
A.44%
B.2525%
C.9090%
D.3535%
Question 2mcq
In a pie chart, 125125 out of 500500 students chose sports. What percent is this?
A.2525%
B.125125%
C.44%
D.3535%
Question 3mcq
A sector represents 1010% of a pie chart. What is its central angle?
A.56∘56^\circ
B.10∘10^\circ
C.350∘350^\circ
D.36∘36^\circ
Question 4mcq
1212 workers finish a task in 66 hours. At the same rate, how long will 2424 workers take?
A.88 hours
B.7272 hours
C.33 hours
D.1212 hours
Question 5mcq
66 workers finish a task in 1010 hours. At the same rate, how long will 1212 workers take?
A.1212 hours
B.2020 hours
C.6060 hours
D.55 hours
Question 6mcq
Which statement correctly compares direct and inverse proportion?
A.Both always have a constant sum.
B.Inverse proportion means both quantities increase together.
C.Direct proportion has a constant ratio; inverse proportion has a constant product.
D.Direct proportion has a constant product.
Question 7mcq
Scale the ratio 4:74:7 by a factor of 33. What is the new ratio?
A.7:107:10
B.12:2112:21
C.21:1221:12
D.4:214:21
Question 8mcq
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.

Section B: Skills

Question 9mcq
In a pie chart, 125125 out of 500500 students chose sports. What percent is this?
A.125125%
B.44%
C.3535%
D.2525%
Question 10mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.3535%
B.44%
C.2525%
D.6060%
Question 11mcq
A sector represents 7575% of a pie chart. What is its central angle?
A.285∘285^\circ
B.270∘270^\circ
C.290∘290^\circ
D.75∘75^\circ
Question 12mcq
66 workers finish a task in 1010 hours. At the same rate, how long will 1212 workers take?
A.55 hours
B.1212 hours
C.2020 hours
D.6060 hours
Question 13mcq
88 workers finish a task in 1212 hours. At the same rate, how long will 1616 workers take?
A.66 hours
B.1414 hours
C.9696 hours
D.2424 hours
Question 14mcq
Which statement correctly compares direct and inverse proportion?
A.Direct proportion has a constant product.
B.Both always have a constant sum.
C.Direct proportion has a constant ratio; inverse proportion has a constant product.
D.Inverse proportion means both quantities increase together.
Question 15mcq
Scale the ratio 5:85:8 by a factor of 22. What is the new ratio?
A.16:1016:10
B.10:1610:16
C.7:107:10
D.5:165:16
Question 16mcq
A problem involves more workers, fewer hours, and the same amount of work. What is the best strategy?
A.Add all numbers together.
B.Assume every quantity increases together.
C.It mixes two proportional relationships, so handle one relationship at a time.
D.Ignore the fixed amount of work.

Section C: Applications

Question 17mcq
In a pie chart, 6060 out of 240240 students chose sports. What percent is this?
A.44%
B.2525%
C.6060%
D.3535%
Question 18mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.44%
B.2525%
C.3535%
D.180180%
Question 19mcq
A sector represents 2525% of a pie chart. What is its central angle?
A.90∘90^\circ
B.25∘25^\circ
C.335∘335^\circ
D.110∘110^\circ
Question 20mcq
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
Question 21mcq
55 workers finish a task in 1616 hours. At the same rate, how long will 1010 workers take?
A.8080 hours
B.3232 hours
C.1818 hours
D.88 hours
Question 22mcq
Which statement correctly compares direct and inverse proportion?
A.Direct proportion has a constant ratio; inverse proportion has a constant product.
B.Both always have a constant sum.
C.Inverse proportion means both quantities increase together.
D.Direct proportion has a constant product.
Question 23mcq
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 24mcq
A problem involves more workers, fewer hours, and the same amount of work. What is the best strategy?
A.Add all numbers together.
B.Assume every quantity increases together.
C.It mixes two proportional relationships, so handle one relationship at a time.
D.Ignore the fixed amount of work.

Section D: Reasoning

Question 25mcq
In a pie chart, 180180 out of 720720 students chose sports. What percent is this?
A.180180%
B.2525%
C.44%
D.3535%
Question 26mcq
In a pie chart, 9090 out of 360360 students chose sports. What percent is this?
A.9090%
B.2525%
C.44%
D.3535%
Question 27mcq
A sector represents 4040% of a pie chart. What is its central angle?
A.164∘164^\circ
B.144∘144^\circ
C.320∘320^\circ
D.40∘40^\circ
Question 28mcq
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 29mcq
1212 workers finish a task in 66 hours. At the same rate, how long will 2424 workers take?
A.1212 hours
B.88 hours
C.7272 hours
D.33 hours
Question 30mcq
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.
Question 31mcq
Scale the ratio 2:52:5 by a factor of 66. What is the new ratio?
A.30:1230:12
B.12:3012:30
C.8:118:11
D.2:302:30
Question 32mcq
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.