Dr Numsen High School Mathematics Practice Test Set F Test. ( ) ( ) = 0. The slope of the line x 8 y = is. The th term in the Fibonacci characteristic sequence,, 5, 8,,... is 60 69. At a computer equipment expo, there is a flat admission cost. Each hard drive costs the same amount. If Bob bought 6 hard drives and paid a total (including admission) of $65 and Carl bought 9 hard drives and paid a total of $0, what is the cost of admission? $5 $0 $5 $0 $5 5. It takes minutes for a faucet to fill an empty cube with sides 6 inches. How long does it take to fill an empty right circular cylinder with diameter 6 inches and height 6 inches? (Round to two decimals.).9 min.08 min. min.6 min.5 min 6. 0 + 0 + 0 = 5. 0 0. According to Descartes s Rule of Signs, how many positive roots can the polynomial equation P (x) = x 5 x x x + 5x = 0 have? or, or 0 or 0 8. Joey can complete the project in hours. Lisa can complete it in hours. Lisa plans to help Joey with the project, but will only work half as much time as Joey works. How much time will Lisa put into completing the project? hr 8 hr 5 8 hr hr 5 hr 9. The largest angle in a triangle with sides 8, 0, and 5 is (nearest degree). 08 6 0 0. Simplify cos θ tan θ sin θ. csc θ sec θ tan θ sin θ cos θ
Dr Numsen High School Mathematics Practice Test Set F Test Page. Which of the following is not closed? multiples of under addition multiples of under multiplication odd integers under addition odd integers under multiplication even integers under multiplication. A bag contains a penny, a nickel, a dime, and a quarter. One coin is selected at random. The expected value of the coin pulled out is about 0 cents cents cents 5 cents 5 cents. If A is supplemental to B and B is the complement to C, what is A C? Cannot be determined. 0 90 80 5. The circles shown are pairwise tangent. The radii of the smaller circles are 5 inches and inches. The centers of the circles all lie on the same diameter of the largest circle. Find the shaded area. 0π π 6π 0π π 5. Find the area of the ellipse 9x + 6y =. 9π 6π π π π 6. If log b x = y, then log b x = y y y y y. Shady has dice, but the 5 on one of the dice has a pip whited out to make it a. Find the probability of rolling the dice and getting a sum of. 6 5 6 9 8. Which pair is not in the solution set of (x ) + (y ) 5? (0, 0) (, ) (8, ) (, ) (8, 0) 9. If f(x) = ax + bx + c, then f () = a + b + c a a + b + c b + c a + b 0. Find the value of x > 0 where the slope of the tangent line to f(x) = x 6x is x..8..6 5..0
Dr Numsen High School Mathematics Practice Test Set F Test. Carl has been promised a % raise each year for the next years. If he makes $8,000 per year now, what will he make after the years? (nearest dollar) $5 $5098 $506 $505 $50880. The lines x 5y = 6 and x + y = intersect where? Quadrant I Quadrant II Quadrant III Quadrant IV on the x-axis. The perimeter of a square is increased from 0 cm to cm. By what percent did its area increase? 0% 0% 8% % %. Which property of real numbers is shown in the equation? a + (b c) = (a + b) c associative distributive closure additive inverse additive identity 5. The points A, B, C, D, and E are equally spaced on a number line and in that order. If D A =, then C A = 8 6. How many solutions does x x = x have? 6 5. Ashli and Angela run around a 0-yard oval track in opposite directions starting from the same point. Ashli has run 00 yards when she meets Angela for the first time. If Angela can then run another 0 seconds and complete the lap, how fast is Ashli running? [nearest yd/min] 8 yd/min 5 yd/min yd/min 6 yd/min 50 yd/min 8. What percent of 00 is the same as % of 00? 0% 8 % 6 % % 5% 9. The (n )th Lucas number is 8 and the (n + )th Lucas number is. What is five times the nth Fibonacci number? 55 5 5 65 5 0. An octahedron is composed of eight congruent equilateral triangles. If the side length of the octahedron is 6 cm, what is its total surface area? 08 cm 8 cm 6 cm cm cm
Dr Numsen High School Mathematics Practice Test Set F Test Page. The point P (, ) is rotated about the origin 0 counterclockwise to point Q. What is the y component of point Q? 0. A 0-ft tall tower will have a guy wire attached to its top. The largest possible angle with the horizontal the wire is allowed to elevate to is 5. What is the smallest wire needed? 6. ft. ft 8.9 ft 5. ft 09. ft. x = a 0 + a x + a x + a x +. Find 5 a k. k=0 6 55. 5 = ( kπ + kπ ) radians and k = 6 5 5. If f(x) = { x x, if x, mx, if x > is continuous, then f(6) = 8 9 5 6. A lunch box accidentally falls off the top of a 00 ft tall construction site. How long does it take the lunch box to fall half way to the ground?.5 s.5 s.0 s.5 s.5 s. Points P, Q, and R form a right triangle on circle O. P, O, and R are collinear. The central angle QOR is 00. What is the smallest angle of the right triangle? 0 0 0 0 50 8. If z 6 = 8i and z =, then z 8 = 6i 6 i 6i 6 6 9. n (x x ) dx = n n (n ) n n(n ) n n n 0. The smallest positive x that gives a local minimum value for f(x) = x + sin(x) is π π π π π
Dr Numsen High School Mathematics Practice Test Set F Test. Chuck buys a latte each morning on the way to work. He works weekdays only. Approximately how many lattes will he buy in one year? 60 5 90 05 0. The average of 5 test scores is 8. If a sixth test is taken and gets a 9, how much does the average change? + + +. If B = 0xyz (base ), with x, y, and z representing single digits, contains a total of three s, what is the range of possible values for B (in base 0)? [, ] [9, ] [, ] [, ] [9, ]. The radius of x x + y 8y = 8 is 8 0 5. A rhombus has diagonals of 6 and 8. Its perimeter is 0 8 0 6. l is parallel to m; p is parallel to q. Find the measure of angle A 5 p q 8 0 95 l m. If x + y = 5 and xy = 6, then x + y = 500 095 55 655 85 8. If f(x) = x and g(x) = x, then f ( g () ) = 5 8 5 9. The determinant of [ ] x is x. The smaller value of x is 0. Find the probability that a proper factor of 8 is not a multiple of. 5 6
Dr Numsen High School Mathematics Practice Test Set F Test Page. Find the area of the triangle whose vertices are (, ), (5, ), and (8, ).. A regular hexagonal prism has sides of cm and a height of cm. Find its volume. 8 cm 6 cm cm 88 cm 68 cm. Which of the following is true of the function f(x) = x + x x? f is odd f is even f is odd and - f is even and - f is neither odd or even. Bobby has rows of cubic blocks. Row has block; Row has blocks;..., Row n has (n ) blocks. Which set of three rows can be chosen and re-arranged to form a solid cube? 65, 66, and 6 80, 8, and 8,, and,, and 5 6, 6, and 6 5. Simplify x x x + 5x + x x x + x +. (x + )(x + ) (x + )(x ) (x + ) (x + )(x + ) (x )(x + ) (x + ) (x + )(x ) (x )(x + ) (x ) (x + )(x + ) 6. Find the angle made by the hands of a clock at exactly 9:0. 50 55 60 65 0. There are 00 senators in the U.S. Congress. How many different ways can they select a chair and vice-chair of the Armed Forces Committee? 00 00 00 99 00 99 00! 8. The graph of r = cos θ is called a. circle rose cardioid limaçon lemniscate 9. If f(x) = x bx + and f () = 5, then f (x) = 0 when x = 5 5 0. The area under the curve of y = x above the x-axis is between x = and x = is ln(0.5) ln() e e e