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 perpendicular to :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 {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 :Q1 5 3 1 - - x - 9 5 1. ---------- = 5 - 6 (a) 5/9 (b) 4/5 (c) 2/3 (d) 8/5 (e) It cannot be determined from the information given. :RCB :Q1 k 2. In the formula y = --, k is 2 d constant. If y is divided by 4, d is: (a) doubled (b) halved (c) divided by 4 (d) multiplied by 4 (e) divided by 1/4 :RCA :Q1 3. If m = 3 and n = 1/3, express m in terms of n. (a) m = n/3 (b) m = 3n (c) m = 3/n (d) m = 1/n (e) m = n + 3 :RCD :Q1 1 - n 4. If p = -----, n = ? 1 2 - - n p + 1 1 1 (a) ----- (b) - (c) 1 (d) - 2p 2 p (e) It cannot be determined from the information given. :RCA :Q1 5. Arrange the following in order from largest to smallest. ___ _ _ 2 3/ /4 /1 1. .6 2. \/.027 3. /-- 4. 3/-- \/ 25 \/ 27 (a) 1,3,2,4 (b) 1,3,4,2 (c) 3,4,1,2 (d) 3,1,2,4 (e) 3,1,4,2 :RCE :Q1 1 2 6. -- + --- = ? 2 2n 3n 3 3n + 4 (a) --- (b) 3n + 4 (c) ------ 3 2 5n 6n 3 (d) --- 2 6n (e) It cannot be determined from the information given. :RCC :Q1 7. If y = 5s, then (1/8)s = ?% of y. (a) 5/8 (b) 62 1/2 (c) 12 1/2 (d) 1/40 (e) 2 1/2 :RCE 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 :Q1 Column A Column B (13)(24) 8. -------- = (7)(8)(30) y 1 y :RCA :Q1 Column A Column B 16 9. 0.16% ----- 10000 :RCC :Q1 Column A Column B 1 2 10 10. - + - -- 4 3 12 :RCA :Q1 Column A Column B 11. A not = 0 3 2 A = A B A B :RCC :Q1 Column A Column B 12. 123 in 4 yds :RCB :Q1 Column A Column B ___ 13. \/236 15.36 :RCC :Q1 :SB :SP105119161119133056105119 :SH1617B C :SH0722A :SH1816<B = <C = 68^ :SF Column A Column B 14. AB AC :RCC :SD :Q1 :SB :SP105119161119133056105119 :SH1617B C :SH0722A :SH1816<B = <C = 68^ :SF Column A Column B 15. <A 50^ :RCB :SD :Q1 :SB :SH11191 2 :SH18163 4 5 :SH0819x :SH1913z y :SP077144236144119064077144 :SP119064119144119144119144 :SF Column A Column B 16. <1 + <2 + <3 + <5 180^ :RCC :SD :Q1 :SB :SH11191 2 :SH18163 4 5 :SH0819x :SH1913z y :SP077144236144119064077144 :SP119064119144119144119144 :SF Column A Column B 17. xy zy :RCD :SD :Q1 Column A Column B 18. k > y y > c 2k y + c :RCA :Q1 :SB :SH12181 2 3 4 :SP133064112096189096189096 :SP161056175096184096084096 :SF Column A Column B 19. <1 + <2 <3 + <4 :RCC :SD :Q1 Column A Column B 8 + 8 + 8 20. ---------- 1 -8 - 8 - 8 :RCB :Q1 Column A Column B 21. 4% of $3.75 $.14 :RCA :Q1 :SB :SH1516A B :SH0816C D :SP090110185110185065090065 :SP090065090110090110090110 :SF Column A Column B 22. Area of square ABCD = 100 AC 9 :RCA :SD :Q1 :SB :SH1516A B :SH0816C D :SP090110185110185065090065 :SP090065090110090110090110 :SF Column A Column B 23. Area of square ABCD = 100 AB + AC + CD + DB 40 :RCC :SD :Q1 Column A Column B 24. Points A, B and C lie on a straight line Distance from A to B = 10 Distance from B to C = 15 Distance from A to C Distance from A to B :RCA :Q1 Column A Column B _______ / 1 1 1 1 25. / -- + -- - + - \/ 16 49 4 7 :RCB :Q1 Column A Column B 26. Area of a circle is 25PI Diameter of circle 10 :RCC :Q1 Column A Column B 27. a = 6 b = -4 2 2 (a + b) (a - b) :RCB 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 :Q1 1 1 1 28. If - - - = -; then y = ? 4 6 y (a) 1/12 (b) 2 (c) 12 (d) 24 (e) 4 :RCC :Q1 29. If k = 1/2 and y = 1/3, k + y then ----- = ? 2 (a) 5/3 (b) 5/12 (c) 1/5 (d) 1/10 (e) 1/12 :RCB :Q1 30. If C = cost, S = selling price and r (expressed as a decimal) = percent of profit based on the cost, then S = C(1 + r). Solve this formula for r in terms of S and C. (a) r = S - C (b) r = S/C (c) r = S - 1 (d) r= S/C -1 (e) It cannot be determined from the information given. :RCD :Q1 _ 31. In the equation y = k\/s, k is a constant. If s is multiplied by 1/4, then y is: (a) squared (b) divided by 1/4 (c) divided by 1/2 (d) multiplied by 1/2 (e) multiplied by 1/4 :RCD :Q1 2 2 32. If mn = 3 and m + n = 9, then 2 (m - n) = ? (a) 15 (b) 12 (c) 9 (d) 6 (e) 3 :RCE :Q1 33. If K is increased by 10%, by what 2 percent is K increased? (a) 10 (b) 20 (c) 21 (d) 100 (e) 200 :RCC :Q1 34. If a flood recedes at 2 inches an hour, how much will the flood recede in P minutes? (a) P/30 (b) 30P (c) P/2 (d) 2P (e) 20P :RCA :Q1 K(T + N) 35. L = -------- 2 Solve for N in terms of L, K and T. 2L 2L - K (a) -- - T (b) ------ K T (c) 2L - K - T (d) 2L - KT (e) It cannot be determined from the information given. :RCA :ET :ET :ET
