Cadet Name: _____________________________________________ Date: ________________ 1. (SATC4MSL5.0:Q1) Which of the following ratios represent the relationship of hours to days? A) B) C) D) E) I, III, and V II, III, and IV II, III, and V I and V II and IV 2. (SATC4MSL5.0:Q2) There are 14 boys and 16 girls in Tyler’s class. Which ratio best represents the relationship between the number of boys and the number of students in Tyler’s class? A) B) C) D) E) 7/8 7:10 7/15 14:16 8:15 3. (SATC4MSL5.0:Q3) The ratio of f(x) to g(x) is 3:x + 2. If f(x) = x - 2, what is g(x) in terms of x? A) B) C) D) E) 3x - 6 1/3(x2 - 2) 2/3x 3x2 - 12 1/3(x2 - 4) 4. (SATC4MSL5.0:Q4) If the ratio of A to B is 3:4 and the ratio of B to C is 2:3, what is the value of A when C is 5? A) 10 B) 3/2 C) 5/2 D) 5 E) 6 5. (SATC4MSL5.0:Q5) If y varies directly with x and y = 4, what is the value of y when x = 7/11? A) B) C) D) E) 4/11 2 3/4 11/18 44/49 1 5/49 6. (SATC4MSL5.0:Q6) If x varies inversely with y and y = 8 when x = 3, what is the value of x when y = 12? A) B) C) D) E) 9/4 1/2 4½ 2 4/9 7. (SATC4MSL5.0:Q7) The variable s varies jointly with t and u such that s = 7 when t = 4 and u = 3. What is the constant of variation describing the relationship between s on the one hand and t and u on the other? A) B) C) D) E) 84 12/7 4/21 21/4 7/12 8. (SATC4MSL5.0:Q8) The value of w varies directly with x and y and inversely with z. The constant of variation is 13/7. What is the value of z when w = 13, and y = 3? A) B) C) D) E) 6/7 7/13 6/13 7/6 13/7 9. (SATC4MSL5.1:Q1) If a set of instructions says to add one part drink mix for every two parts water, what is the ratio of mix to water? A) B) C) D) 1:2 50% 2:4 Both a and b 10. (SATC4MSL5.1:Q2) A recipe for 4 scones is: 200g flour 2 eggs 100ml milk 50g currants How much flour is needed to make 6 scones? A) B) C) D) 30g 300g 400g 1200g 11. (SATC4MSL5.1:Q3) If there are 20 children on a field trip, how many adults are needed to have a safe 4:1 ratio of children to adults? A) B) C) D) 5 7 10 4 12. (SATC4MSL5.1:Q4) Find the value of the variable: X/5= 6/10 A) B) C) D) X=2 X=5 X=3 X=4 13. (SATC4MSL5.1:Q5) What is the multiplier that makes the statement proportional? 5:8= 60:92 A) B) C) D) 11 9 7 12 14. (SATC4MSL5.1:Q6) Andrew ran 100 meters in 15 seconds. How long did it take Andrew to run 10 meters? A) B) C) D) 5 seconds 1.5 seconds 1 second 0.15 seconds 15. (SATC4MSL5.1:Q7) Russell was making a garden and needed to put up a fence around his carrots. The perimeter of his garden was 24ft. He bought 10yds of fencing. Does Russell have enough fencing for his garden? (There are 3 feet in one yard). A) Yes B) No C) Not enough information 16. (SATC4MSL5.1:Q8) Iris earned $1,350 a month sitting pets. The cost of the supplies was 15% of her salary. How much money did Iris spend on supplies? A) B) C) D) $20,250 $500 $202.50 $301.25 17. (SATC4MSL5.1:Q9) Find the geometric mean of 5 feet and 36 inches. (There are 12 inches in one foot). A) B) C) D) 4.2 3.9 15 2.1 18. (SATC4MSL5.2:Q1) If y equals 42 and x equals 7, and they are directly proportional, what will y equal when x equals 14? A) B) C) D) 84 294 21 82 19. (SATC4MSL5.2:Q2) The constant of variation for the ratio of slice of meat (m) to slices of bread (b) in a sandwich is 6. If the equation m = kb, then how many pieces of meat be when there are 720 slices of meat? A) B) C) D) 745 250 4,320 120 20. (SATC4MSL5.2:Q3) If y equals 20 and x equals 8, and they are indirectly proportional, what will x equal when y equals 10? A) B) C) D) 24 16 4 18 21. (SATC4MSL5.2:Q4) What is the constant of variation if value y equals 25 and value x equals 10 for the equation y = kx? A) 0.4 B) 250 C) 5/2 D) 485.6 22. (SATC4MSL5.2:Q5) Y equals 50 and x equals 20. If y and x are directly proportional, what will y equal if x is decreased to 16? A) B) C) D) 40 55 36 1000 23. (SATC4MSL5.2:Q6) If you are traveling down a dirt road at 25 mph for three hours, how long will it take to travel the same distance at 30 mph? A) B) C) D) 2.5 hours 9 hours 9.5 hours 4.65 hours [Answer Key] 1. B 2. C 3. E 4. C 5. A 6. D 7. E 8. A 9. A 10. B 11. A 12. C 13. D 14. B 15. A 16. C 17. B 18. A 19. D 20. B 21. C 22. A 23. A
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