Application Based Proportions
  • 1. On an architect’s blueprint, 1 inch corresponds to 4 feet. If an exterior wall is 38 feet long, find how long the blueprint measurement should be.
A) 9.5 inches
B) 9 inches
C) 10 inches
D) 152 inches
  • 2. A biologist catches 21 fish in a lake and tags and releases them. In the same lake a few days later, 50 fish are caught with 7 having tags. How many fish are in the lake?
A) 16 Fishes
B) 294 Fishes
C) 150 Fishes
D) 307 Fishes
  • 3. At a college in eastern Kansas, 7 out of 10 students work either a full- or part-time job in addition to their studies. If 5800 students are enrolled at the college, how many do not have a full-time or part-time job?
A) 8,285 Students
B) 6,172 Students
C) 4,060 Students
D) 700 Students
  • 4. When Ridgewood Community College had 1200 students enrolled, 24 mathematics classes were offered. This year there is 1450 students enrolled, so how many mathematics classes should be offered?
A) 29 Math Classes
B) 21 Math Classes
C) 19 Math Classes
D) 25 Math Classes
  • 5. Dr. Jackson examined 28 patients in four hours. Dr. Nix examined 21 patients in 3 hours. Do the two doctors examine patients at the same rate?
A) No, they do not examine patients at the same rate because the ratio cross products are not equal.
B) Yes, they examine patients at the same rate.
C) Yes, they examine patients at the same rate because the ratio cross products are equal.
D) No, they do not examine patients at the same rate.
  • 6. The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinars. Find how many dollars you would receive if you exchanged 22 Dinars.
A) $3.67
B) $33
C) $14.67
D) $33.67
  • 7. Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?
A) 4.356 in tall
B) 1.43 in tall
C) 3.428 in tall
D) 2.5 in tall
  • 8. Molly bought two heads of cabbage for $1.80. How many heads of cabbage can Willie buy if he has $28.80?
A) 16 heads of cabbage
B) 51 heads of cabbage
C) 33 heads of cabbage
D) 10 heads of cabbage
  • 9. Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
A) 1 in wide
B) 2 in wide
C) 3 in wide
D) 4 in wide
  • 10. Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?
A) 42.5 hours
B) 170 hours
C) 6.8 hours
D) 0.588 hours
  • 11. Jim read 296 pages of a 400 page book. What percent of the book did he read?
A) Jim read 13.135% of the book.
B) Jim read 53% of the book.
C) Jim read 68% of the book.
D) Jim read 74% of the book.
  • 12. Laurie makes 85% of her free throws. If she shoots 38 free throws, how many does she make?
A) She makes 44 free throws.
B) She makes 34 free throws.
C) She makes 45 free throws.
D) She makes 33 free throws.
  • 13. 43 is 10% of what number?
A) 43 is 10% of 430
B) 4.3 is 10% of 43
C) 430 is !0% of 43
D) 43 is 10% of 43
  • 14. A test has 20 questions. If Peter gets 80% correct, how many questions did peter missed?
A) Peter missed 4 questions
B) Peter missed 16 questions
C) Peter missed 5 questions
D) Peter missed 15 questions
  • 15. 24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
A) 75% of the students did not pass
B) 55% of the students did not pass
C) 133% of the students did not pass
D) 25% of the students did not pass
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