1) If (1/5)m(1/4)18 = 1/2(10)35, m?2) (-1)k+1(½k). T is the sum of the first 10 k, is t a. > 2 b. between 1 and 2 c. between ½ and 1 d. between ¼ and ½ e. < ¼ 3) What is m+n? + 4 e f x 1 7 2 y -5 n -4 z m 10 5 4) Perimeter of isosceles right triangle is 16 +16√2, what is hypotenuse? a. 8 b. 16 c. 4√2 d. 8√2 e. 16√2 5) If it took Carlos 1/2hr from home to library, is distance greater than 6 miles? (1mile = 5280 feet) a. Average speed was greater than 16 feet/second b. Average speed was less than 18 feet/second 6) Does line k intersect quadrant II? a. Slope of k is -1/6 b. Y intercept of k is -6 7) r and s are integers and rs + r is odd, which MUST be even? a. r b. s c. r + s d. rs – r e. r2 + s 1) b. 13 d. If we use the same number of each type to do the job in 2 hours. -1 b. 6 d. 1 d. Type R and Type S. 9 e. 3 b. R does a job in 36 hours. R is the product of 4 consecutive positive integers b. I & III e. how many Type r machines do we need? a. Is slope of line n less than slope of line p? a. 12 9) If x ≠ 0. 4 c. Y-intercept of line n is greater than y intercept of line p . II & III 13) Lines n and p lie in xy plane. |x|/x 10) 2x – 2x-2 = 3(213). 17 11) Is integer r divisible by 3? a. I. I & II d. 11 c. II c. r < 25 12) If # is defined by a # b = a + b – ab. 15 e. I b. Lines n and p intersect at (5. S does same job in 18. then √x2/x = a. 0 c. what is x? a. then which is true? a#b=b#a a#0=a (a # b) # c = a # (b # c) a.8) Two machine types. operate at a constant rate. x e. 9 b. 1⁄5 b.0 18) Of 25 cars sold. 2⁄10 c. what is probability that the 2 selected apples will include the spoiled one. How many had automatic but not antilock a. 2 of the cars that had neither automatic nor antilock .6 b. 0. a. one is spoiled. 3⁄5 17) On the 1st day the late fine is 0. 1 b.3 or doubled whichever is the lesser amount.1. What is total fine on the 4th day? a. All cars that had antilock also had automatic b. 9 d. 0. 1. 10 c.7 c. 15 15) 108 – 102 / 107 – 103 is closest to which of the following? a.14) Six machines working at the same rate constant rate complete a job in 12 days. Each additional day the total fine is either increased by 0. If Henry picked 2 apples simultaneously and at random. 3 b.8 d. 12 e. 0. 103 e. 0. 102 d. some had automatic and some had antilock. 2⁄5 d. 1⁄2 e. How many additional machines working at same rate will be needed to complete the job in 8 days? a. 6 c.9 e. 104 16) A basket has 5 apples. a store sold each sweater for $30 more than the cost of purchase. X is between -1⁄2 and 3⁄2 b. .19) Is x between 0 and 1? a. How many were sold during the sale? a. r. If all the money that she saved last year was from her take home pay. is n< 80? a. a. 3⁄4 is 1⁄4 more than x 20) If m. 1⁄6 24) n is an integer between 10 and 99. Ratio of m + x to r + y equals ratio of x to y 21) How long did it take Helen to drive from home to her parents? a. There are a total of 72 chairs b. x & y are positive. 1⁄4 d. After 1 chair is removed from last row. Each of the two digits of n is a prime number 25) During a one day sale. Total revenue for sweaters is $270 b. 1⁄2 b. How many chairs are in each row? a. there are 17 chairs in the last 2 rows 23) Alice’s take home pay was the same each month and she saved the same fraction each month. The total amount she saved at the end of the year was 3 times the amount of that portion of her monthly take home that she did not save. what fraction of her take home pay did she save each month. 1⁄3 c. Sum of the two digits on n is a prime number b. Ratio of m to y is equal to ratio of x to r b. Store sold each sweater for 50% more than the cost of purchase. Helen’s ave speed was 72Km/h b. is the ratio of m to r equal to the ratio of x to y? a. If Helen’s ave speed had been 8km/h faster it would have taken her 1 hour less 22) Each row has same number of chairs and number of rows is 1 less than the number of chairs in a row. 1⁄5 e. xz > 0 30) 2(4-1)^2 / 23-2 a.50 more and 100 fewer people came. then n has how many different positive prime factors a. xy < 0 29) If xyz > 0.26) If the average of five numbers. 20% of mean and 10% of women are employed. x. 11. 6 e. If the fee had been %0. is x > 0? a. the club would have received the same amount 28) On the number line. 8 32) Are at least 10% of people 65 and older employed? a. b. 26 d. 7. 25 e. 7 < x > 11 b. the distance between x and y is greater than the distance between x and z. If fee had been $1.75 less and 100 more people came the club would have received the same amount. what is x? a. 16. x is median of the five numbers 27) If everyone was charged the same fee. xy > 0 b. Of those 65 and older. 28 b. 2 b. 5 d. 24 31) If n is a positive integer less than 200 and 14n⁄60 is also an integer. 27 c. 2. and 11 = the median. 3 c. . Does z lie between x and y on the number line? a.3% of population is 65 or over b. xyz < 0 b. how many people came? a. Every prime factor of s is also a prime factor of r 36) For a finite set of nonzero numbers. Gear P rotates at 10 revs/min and gear Q at 40 revs/min. -4. 4 c. 4 e. 3 d. 6 b.000 b. what was the average of the three? a. What is the number of variations in sign for the sequence 1. Every factor of s is also a factor of r b. the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the consecutive terms is negative. 12 e. 2. How many seconds after gears start rolling will Q have made exactly 6 more revs than P a. Sum of x and y is less than 20 b. 16 e. 2 c. If Mary had the highest salary. -6? a. 5 37) Circular gears P & Q start rotating at the same time at constant speeds. what is value of 2(x+y)^2 / 2(x-y)^2 a. 8 c. 15 38) Is x less than 20? a. -3. is r/s an integer? a. 1 b.000 34) If xy = 1. 5.33) The difference between Mary and Jim’s salary was twice the difference between Mary and Kate’s. 2 b. Jim’s salary was $30. 32 35) If r and s are positive integers. y is less than 20 . 10 d. Kate’s was $40. 8 d. what is measure of angle r? a. what was the standard deviation of the volumes at the end? a. 40% increase e. which of the following is closest to the % change in concentration of A required to keep the rate unchanged? a. Angle T is 100º b. 100% decrease b. If B increases by 100%. If standard deviation of the volumes of water at the beginning was 10 gallons. Perimeter of KLMN is 30 b. How many cups of pasta will he use this time? a. 40% decrease d. The average volume of water in the tanks at the end was 63 gallons 41) A serving requires 1½ cups of pasta. what is ratio KN/MN? a. 50% increase .39) In isosceles triangle RST. 50% decrease c. He makes half as many servings as he did last time b. 30% of water at the beginning was removed b. Angle S is 40º 40) Some water was removed from each of 6 tanks. He used 6 cups of pasta the last time 42) L M K N In this figure. For each tank. All three rectangles have the same dimensions 43) The rate of a reaction is directly proportional to the square of the concentration of A and inversely proportional to concentration of B. n = 2 b. 9π⁄4 c. 2π b. III d. 16 b. and 3% fat by volume. 3π 45) A list of measurements in increasing order is 4. I. 3y + z e. 2%.44) PQ is parallel to OR. 3y + 4z 48) n and m are positive integers. 5. I & II e. 2y + 3z d. What is x in terms of y and z? a. 8. what is the value of x? a. m = 1 . (y + z)/4 c. what is remainder when 34n + 2 + m is divided by 10? a. II & III 47) Three grades of milk: 1%. II c. I b. and z gallons of 3% are mixed to give x + y + z gallons of 1. y gallons of 2%. 12 d. y + 3z b. 13 e. If median of the measurements is 6/7 times the mean. 15 46) Which of the following is and integer? 12!/6! 12!/8! 12!/7!5! a. and x. 9π⁄2 e. 7π⁄2 d. 6. X gallons of 1%. What is the length of minor arc PQ [DON’T DO] a. 10. 10 c.5%. OR = 18. is (6 @ 2) @ 4 = 6 @ (2 @ 4) a. x2 – x is a multiple of y 51) At 50 mph a car uses 1 gallon for every 30 miles. Green. 6 b.* or /. 32 54) If the operation @ is one of + . 3 @ 2 > 3 b. If the car starts with a full tank of 12 gallons and drives for 5 hrs at 50mph. 3⁄25 b. < 3 b. and Purple. Each has 4 colors – Blue. The pads are packed in packages that contain either 3 notepads of same size and same color or 3 notepads of same size and of 3 different colors. = 4 e. = 3 c. How many different packages of the types described are possible? a. 2⁄3 e. at what point does y = (x + a)(x + b) cross the x axis? a. -6) 50) If x and y are integers greater than 1. 3y2 + 7y = x b. the value of M is a. 25⁄36 52) If M = √4 + 3√4 + 4√4. graph intersects y axis at (0. is x a multiple of y? a. Yellow. 3 < M < 4 d. 7⁄12 d. 24 e. a + b = -1 b. 16 d. the amount of gas used would be what fraction of the tank? a. > 4 53) 2 sizes of sticky pads. 11⁄36 c. 3 @ 1 = 3 . 8 c.49) In the xy plane. Her gross profit from purchase and sale of armchair was what % greater than gross profit from purchase and sale of coffee table? a. N ordered 10 more printers than M 60) (82)(33)(24) / 962 = a. N is between 0 and 1 b. x/yz = 7/10 58) is z equal to the median of the 3 positive integers x. She paid 10% more for armchair than table b. y = 1. 3 b. 7⁄16 is 3⁄8 more than n 56) Martha bought an armchair and a coffee table at an auction and sold both. 9 d. what is value of x + y + z? a. N orders 60 computers and printers. and z are integers greater than 1. x < y + z b. x = 1 or z = 0 . She sold armchair for 20% more than she told the table 57) x. xyz = 70 b. y & z? a.55) What is the value of n? a. z = 0 d. y = z 59) M orders 50 computers and printers. 18 61) If xy + z = x(y + z). x = 1. x = 1 or y = 0 e. y = 1 c. y. 6 c. z = 0 b. M & N ordered the same number of computers b. x = 0. which must be true? a. How many computers did M order? a. 12 e. 1⁄8 c. √3 e. The average salary of directors is $15000 greater than the average of all employees 65) The ratio of women to children on a tour is 5:2. √2 d. Ratio of children to women is 5:11 b. Product of all numbers in S is -1200 b.62) Area of triangle PQR is what fraction of triangle LMN [DON’T DO] a. There are 6 numbers in S 64) Each employee is either a director or a manager. 1⁄5 e. The average salary of managers is $5000 less than the average of all employees b. What % of the employees are directors? a. 1⁄9 b. How many men are there? a. 1⁄6 d. Does S contain more negative numbers than positive numbers? a. √2/2 . 1⁄2 b. 1⁄3 63) S is finite set of numbers. 66) In the figure P and Q lie on circle with center Q. There are less than 30 women on the tour. what is s? [DON’T DO] a. 1 c. III e. 42 . Πr2 + 10 c. None b. Πr2 + (10 .67) n and y are positive integers and 450y = n3. 80 d.2πr)2 e. 41 e. 100 70) If x4 + y4 = 100. Which represents total area of circle and square in terms of r? a. Other is a square. One piece is a circle with radius of r. 40 b. 0 and 3 b. III 68) A thin piece of 40 m wire is cut in two. II. 90 e. Πr2 b. 40 d. 39 c. 60 c. Πr2 + (40 . 3 and 6 c. and the sum equals 350. What is gross profit? a. which of the following could be equal to n? a. the greatest possible value of x is between a. 9 and 12 e. Selling price was purchase price plus markup that was 40% of selling price.½ Πr)2 69) Harry bought a desk for $150. 38 b. 6 and 9 d. Πr2 + ¼ π2r2 d. No wire is left over. 12 and 15 71) If each term in the series a1 + a2 + … an is either 7 or 77. I c. which is an integer? y / 3 * 22 * 5 y / 32 * 2 * 5 y / 3 * 2 * 52 a. II d. I. Who drove greatest distance? a. x and y have same tens digit 75) Is x > 0. 2x3y = 72 b.000 b. and z. d + 5 e. In 1970 population of K was 160. D b. x > 3% of 50 76) Al. and Masha shared driving on a 1. When x is divided by 6 remainder is 2 b. x = y + 1 b. Pablo. Al drove 1 hr longer than Pablo but at an average speed of 5 mph slower than Pablo b.72) What is the remainder when positive integer x is divided by 3? a. and z + 5? a. what is standard deviation of x + 5. Masha drove 9 hrs and averaged 50 mph 77) If d is standard deviation of x. remainder is 2 73) In xy plane. 2x2y = 32 79) What is the % increase in population of City K from 1980 to 1990? a. 3d c. y + 5. y.500 mile trip. When x is divided by 15.05? a. What is xy? a. x > 3/40 b. what is y-intercept of l? a. d + 15 78) x and y are positive. 15d d. x-intercept of l is -⅓ 74) Sum of positive integers x and y is 72. what is x + y? a. Slope of l is 3 times the y intercept b. In 1980 population of K was 20% greater than 1970 and in 1990 population is 30% greater than in 1970 . Each capsule has 600 milligrams per capsule. 45 +95 81) If x is negative integer.511 e. x3 – 0. $1.00 e. x3 – 0. 26 + 36 d. QPR is 30º b.512 82) The main ingredients in a capsule is $500/kilo. x2 – 0. which of the following has the least value? a. $0.51 c. y < 20 84) PRS is how many degrees greater than PQR? [DON’T DO] a. 27 + 38 e.80) Which is equal to 25 + 25 + 35 + 35 + 35? a. $3. 135 c. x + y < 20 b. $0. x2 – 0. $3.30 b.33 83) Is x < 20? a. what is the cost of the ingredient in a capsule? (1 kilo = 106 milligrams) a.20 d. x4 – 0.50 b. PQR +PRQ is 150º .83 c.502 d. 56 b. what is value of z? a. 25% of all students transferred 86) Did it take Pei more than 2 hours to walk a distance of 10 miles? (1 mile = 1. 8 c. If arc ABC is 24. Pei walked at an average rate of less than 6. n is a nonzero integer b. 19 88) For how many integers n is 2n = n2 a.6km) a. On average. f(x) = x2(1 – x) e. 2 b. z > 0 . it took Pei more than 9 mins/km to walk this distance 87) Equilateral triangle ABC is inscribed. 2n = 7m 90) For which of the following functions is f(x) = f(1-x) for all x? a.4 kmh b. f(x) = x / x/1 – x 91) If zn = 1. 15 e. f(x) = x2 – (1 – x)2 d. None b. 2 d. More than 3 89) What is GCD of positive integers m and n? a. 1 c. 11 d. f(x) = 1 – x b. what is diameter? [DON’T DO] a. m is a prime number b.85) What fraction of graduating students at college X are male? a. f(x) = 1 – x2 c. 3 e. 33% of males and 20% of females transferred from another college b. 15600 d. and III 93) Each stack is designated with a 1. 1000 profit b. and sold another car at a loss of 20% of purchase price. Ratio of number of full time employees to part-time employees is less for division Y than for company Z b. 2951 b. 2. II and III e. I and II c.000 profit c. is the ratio of the number of full-time employees to number of part-time employees greater for Division X than for Company Z? a. 3334 loss 95) Each employee of company Z is employed in either Division X or Division Y. If dealer sold each car for $20000. which of the following could be true? x>y>z z>y>x x>z>y a. 8278 94) Dealer sold 1 car at a profit of 25% of purchase price. but not both. 2000 loss e. 2. what was dealer’s total profit or loss in dollars for the 2 transactions combined? a. 1000 loss d. More than ½ of full-time employees of company Z are employees of div X. If the letters may be repeated and if the same letters used in a different order constitutes a different code. and more than ½ of part-time employees of company Z are employees of div Y . I and III d. II. and 3 letter code where each letter is selected from the 26 letters of the alphabet. If each division has some part time employees. I b.92) If x > y2 > z4. 16302 e. I. how many different stocks is it possible to uniquely designate with these codes? a. 8125 c. y. is z greater than average of x and 10? a. 1⁄2 d. and z are such that x is a factor of y and y is a factor of z. By how many feet did the height of the tree increase each year? a. 3⁄10 b. 6⁄5 98) Positive integers x. to fill an order of a certain size than machine X alone. Its height increased by a constant amount each year for 6 years. if z even? a. a. z is closer to 10 than x on the number line b.96) X and Y work at constant rates. z = 5x . y is even 99) If x is a positive number less than 10. 2⁄3 e. X and Y together fill order in 2⁄3 the time that X alone does b. how many more hours does it take machine y. Y alone does it in twice the time as X alone does 97) When a tree was planted it was 4 feet. After 6 years the tree was 1⁄5 taller than at the end of 4th year. xz is even b. 2⁄5 c. alone.