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Test 1 (Quantitative Reasoning)
A car loses half its value every 3 years. If 6 years after it was made it is worth $12,000 less than its original value, how many dollars will it be worth 9 years after it was made? A. 1, B. 2, C. 3, D. 4, E. 6,000 - 2, Sherry invests money in stock. Her initial investment is $3,000, and after one month the stock's value increases by 20%. After another month, her investment's value dips by 10%. In the third month, her stock's value increases again, by 15%. How much is her investment worth now? A. $3, B. $3, C. $3, D. $3, E. $4,350 - $3, What is the distance formula? - d = √[(X2 - X1)^2 + (Y2 - Y1)^2] What is the distance between (-6,7) and (4,31)? A. 10 B. 18 C. 24 D. 26 E. 37 - 26
For new car purchases, an automobile company allows the selection of two free "extras" from a list of seven. How many different ways can a car be customized with extras? A. 21 B. 28 C. 35 D. 42 E. 49 - 21 Y + 8 is what percent of (Y^3)-4, when Y = 4? A. 20 B. 25 C. 33(1/3) D. 300 E. 500 - 20 Which of the following fractions is largest? A. 73/ B. 5/ C. 17/ D. 1/ E. 75/100 - 17/ If X > 0, what is the value of the expression (I-XI + I2XI)/I-3XI? A. - B. -1/ C. 1/ D. 1 E. 3X -
B. 1/
C. 1/
D. 1/
E. 1/9 -
What is the value of sqrt(.49)/.7? A.. B. sqrt(.7) C. 1 D. 2 E. sqrt(7) - 1 If sin A = 1/sqrt(5), which of the following is the value of Cos A? [0<A<π/2) A. 1/sqrt(5) B. 2/sqrt(5) C. 1/ D. 1/sqrt(5) E. 2/5 - 2/sqrt(5) If r and s are positive integers and 4r + 6s is equal to 3a + 2s, then which of the following is equal to 2s? A. -2r+(3/2)a B. -4r+3d C. -r+(3/4)a D. r-(3/4)a E. (4/3)r+3a - -2r+(3/2)a
Five integers are listed in order from least to greatest. Beginning with the second integer in the list, each subsequent integer is 4 greater than the previous integer. If the sum of the five integers is 165, what is the first integer? A. 21 B. 25 C. 29 D. 33 E. 35 - 25 Line L contains points (-1,3) and (4,-2). Which of the following is an equation of line L? A. y= x + 4 B. y + x = 2 C. y + x = 3 D. y - x = 1 E. y = -x - 3 - y + x = 2 What is the maximum possible straight-line distance between two points on the surface of a solid with dimensions 4 x 2 x 2? A. sqrt(5) B. 4 C. 2sqrt(5) D. 2sqrt(6) E. 8 - 2sqrt(6) A square has sides of length X. If circles are centered on each of the corners of the square such that two have radii of (1/4)X and two have radii of (1/2)X, what proportions of the area of the square is also covered by a circle? A. (3π/32) B. (5π/32)
In a right triangle, the angle∠ADC = 60, and DC = 22. Which of the following is the length of the line segment AD? A. 10 B. 11 C. sqrt(130) D. 10sqrt(3) E. 11sqrt(3) - 11 If [(X^2)-8][X + 7] < 0, then what are all the possible ranges of X? A. X < - B. X < 2sqrt(2) C. -7 < X < 2sqrt(2) D. -2sqrt(2) < X < 2sqrt(2) E. X < -7, or -2sqrt(2) < X < 2sqrt(2) - X < -7, or -2sqrt(2) < X < 2sqrt(2) If the expression: (X^2 + 6)(-5 - X)(X + 8)/ sqrt(X^2 + 1) is positive, which of the following could be the value of X? A. - B. - C. 5 D. 6 E. 8 -
What is the formula for area of a circle - πr What is the formula for perimeter of a circle -
2πr A circular indoor track has an outer radius of 100ft. It consists of an outer running lane 10 ft wide and an inner walking lane 5 feet wide. Approximately what percent of the total lane area is occupied by the walking lane? A. 13 B. 32 C. 33 D. 46 E. 49 - 32 What is 75% of (42 - 4^2)? A. 18. B. 19. C. 20. D. 21. E. 22.5 -
What is the maximum number of isosceles right triangles whose legs are 3 inches long that can be cut from a rectangular sheet of paper measuring 14 X 10 inches? A. 12 B. 15 C. 24 D. 30 E. 31 - 24 If (3/8)Y - Y > (7/8) - (Y/8), which of the following must be true? A. Y < -7/ B. Y < -15/
X = (2+6Y)/(Y-5)
Eight times a number equals 35 more than the number. What is the number? A. 3 B. 4 C. 5 D. 6 E. 7 - 5 Which of the following is equal to the value of 115% of 95% of 20? A. 21 B. 21. C. 22 D. 40. E. 42 -
A/2 is what percent of A^2/3, when A = 3? A. 25 B. 33(1/3) C. 50 D. 66(2/3) E. 75 - 50 What is the value of Y if -7X + 5Y = 1 and X - Y = 3? A. - B. - C. - D. 8
E. 11 -
What is the distance on a conventional two-dimensional graph between the coordinates (-5,7) and (3,-1)? A. 4 B. 6 C. 2sqrt(10) D. 8 E. 8sqrt(2) - 8sqrt(2) If sqrt[(1/X)-1] = 7, then X =? A. 1/ B. 1/ C. 1/ D. sqrt(1/6) E. 48 - 1/ What is the volume of a cylinder - πr^2h What is the area of a cylinder - 2πrh+2πr^ What is the height of a cylinder with radius 3sqrt(13) and volume 117sqrt(13)? A. √ 13/π B. √ 13/ C. √ 13/ D. √ 13
C. sin π/ D. cos π/ E. cos 7π/8 - sin π/
