SECTION IV TIME - 30 minutes 35 QUESTIONS :RA In this section solve each problem, using any available space on paper for scratchwork. Then decide which is the best of the choices given and select the answer. :RA The following information is for your reference in solving some of the problems. 2 Circle of radius r: Area = PIr Circumference = 2PIr The number of degrees of arc in a circle is 360^. The measure in degrees of a straight angle is 180^. Definitions of symbols: = is equal to || is parallel to > is greater than ^ is equal to degree < is equal to angle :RA :SB :SP257079203024179079257079 :SP203079203024203024203024 :SH1126A D B :SH0330C :SF Triangle: The sum of the measures in degrees of the angles of a triangle is 180. If <CDA is a right angle, then (1) area of TRIANGLE ABC AB x CD = ------- 2 2 2 2 (2) AC = AD + DC :RA :SD Note: Figures which accompany problems in this test are intended to provide information useful in solving problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. All numbers used are real numbers. :RA :Q5 a 1. 1 - - = b 1 - a b - a (a) ----- (b) ----- b b (c) 1 - a (d) b - a (e) It cannot be determined from the information given. :RCB :Q6 1 4 - 6 2. ---- = 1 2 -- 12 (a) 2 (b) 2 1/2 (c) 4 (d) 1/4 (e) 1/2 :RCA :Q5 3. When 5m + 5n is divided by 5n, the quotient is: m + 1 m + n (a) 5m + 1 (b) ----- (c) ----- n n (d) 5m (e) m + 5 :RCC :Q4 10 4. The value of --- is: .05 (a) 2 (b) .2 (c) .02 (d) 20 (e) 200 :RCE :Q5 2 5. In the formula d = b - 4ac, find d when a = 1, b = -8, and c = 16. (a) -80 (b) 0 (c) -128 (d) -48 (e) -16 :RCB :Q11 6. A car travels the first 75 miles of a 270-mile trip in 2 hours, then goes at 32.5 miles per hour for the rest of the trip. Find its average rate in miles per hour. (a) 35 (b) 35 7/8 (c) 43 1/4 (d) 33 3/4 (e) 33 1/3 :RCD :Q13 7. A company wants to replace 2/5 of its 60 professionals with para-professionals. If 4 para-professionals can replace 3 professionals with no loss in work, how many para-professionals will be needed? (a) 24 (b) 32 (c) 12 (d) 36 (e) 45 :RCB Questions 8 through 27 consist of two quantities, one in Column A and one in Column B. You are to compare the two quantities and choose the correct answer A if the quantity in A is greater; B if the quantity in B is greater; C if the two quantities are equal; D if the relationship cannot be determined from the information given. :RA Notes: 1. In certain questions, information concerning one or both of the quantities to be compared is centered. 2. In a given question, a symbol that appears in both columns represents the same thing in Column A as it does in Column B. 3. Letters k, n, and a stand for real numbers. :RA :Q9 Column A Column B a 8. - = c b = c b a b :RCA :Q9 Column A Column B ___ 9. \/729 27 :RCC :Q9 Column A Column B 10. ky = 40 k + y 20 :RCD :Q9 Column A Column B 11. 2rPI = 30 r 6 :RCB :SB :SP140080168126112126140080 :SH1717B C :SH1022A :SH18183y + 15 :SH13145y + 7 :SH13258y - 5 :SF :Q9 Column A Column B 12. <A = <B = <C y 4 :RCC :SD :Q9 :SB :SP140080168126112126140080 :SH1717B C :SH1022A :SH18183y + 15 :SH13145y + 7 :SH13258y - 5 :SF Column A Column B 13. <A = <B = <C perimeter 60 :RCA :SD :Q9 Column A Column B ___ / 1 14. / --- 1 \/ 289 :RCB :Q9 :SB :SP091063133063091128155128 :SP155128091063091063091063 :SH161840^ k^ :SH0918y^ :SF Column A Column B 15. k y :RCD :SD :Q9 :SB :SP091063133063091128155128 :SP155128091063091063091063 :SH161840^ k^ :SH0918y^ :SF Column A Column B 16. 40 y^ :RCC :SD :Q9 :SB :SP159127112127112080159127 :SH1717B b A :SH1417a :SH1017C :SH1222c :SH1920AB PERPENDICULAR BC :SF Column A Column B 2 2 2 17. a + b c :RCC :SD :Q9 :SB :SP159127112127112080159127 :SH1717B b A :SH1417a :SH1017C :SH1222c :SH1920AB PERPENDICULAR BC :SF Column A Column B 18. <CAB <CBA :RCB :SD :Q9 Column A Column B 3 19. 1/4 (1/4) :RCA :Q9 Column A Column B 20. 9y = 189 y/3 8 :RCB :Q9 Column A Column B 4 2 21. 5 = 10 (A) A 9 :RCB :Q9 Column A Column B 22. y < 6 6 5 y 6y :RCB :Q9 Column A Column B ____ 2 23. \/.004 .02 :RCA :Q9 Column A Column B 0.8 24. 0.4 --- 2 :RCC :Q9 Column A Column B 3 25. (1/4) 1/5 :RCB :Q9 Column A Column B 26. 4 1/2% 45/1000 :RCC :Q9 Column A Column B ___ 27. / 1 5 / --- - \/ .36 3 :RCC Solve each of the remaining problems in this section using any available space on paper for scratchwork. Then decide which is the best of the choices given and select the answer. :RA :Q5 28. If 3y - 12 = P, then y - 4 = ? (a) P - 1 (b) 4P - 4 (c) P/3 (d) 3P (e) It cannot be determined from the information given. :RCC :Q5 29. If r + s = 6 and rs = 2, 1 1 then -- + -- = ? 2 2 r s (a) 9 (b) 8 (c) 1/3 (d) 8.5 (e) 3 :RCB :Q5 30. 1/12 cu. ft. = y/10 cu. in.; y = ? (a) 5/6 (b) 120 (c) 12 (d) 14.4 (e) 1440 :RCE :Q4 2 6 1 - - x - 3 7 31. ---------- = ? 3 6 1 + - x - 2 7 (a) 3/7 (b) 48/49 (c) 49/48 (d) 3/16 (e) 3/8 :RCD :Q14 1 .1 1 32. Arrange 1) - 2) -- 3) -- 5 5 .5 in order of value from largest to smallest. (a) 1,2,3 (b) 1,3,2 (c) 2,1,3 (d) 3,2,1 (e) 3,1,2 :RCE :Q5 2 8 y 33. If -y = -, then - = ? 3 9 2 (a) 2/3 (b) 4/3 (c) 16/27 (d) 8/27 (e) 1/3 :RCA :Q8 :SB :SP189087210048266048259087 :SP259087189087189087189087 :SH1227A D :SH0630B C :SF 34. BC and AD are 8" and 10", respectively. AB = 6", and <A = 60^. The number of square inches in the area of ABCD is: _ (a) 54 (b) 27\/2 _ (c) 27\/3 (d) 27 (e) 36 :RCC :SD :Q8 :SB :SC160045223036179072218071 :SP218071160045248050248050 :SH06281 :SH09312 :SH07303 :SF 35. <1 = 20^ and <2 = 40^. Find <3. (a) 60^ (b) 30^ (c) 80^ (d) 40^ (e) 20^ :RCA :SD :ET :ET
