BOOTCAMP MATH
ALGEBRA#16. There are 30 employees at Roogle. Of the 30, some employees have dogs, some have cats, some have both, and some have none. If there are 2 more employees with only cats than employees with only dogs, 3 more employees with only cats than employees with no pets, and 5 employees with both, how many employees have only cats? A. 4 B. 6 C. 8 D. 10 E. 15
D
PROBABILITY#67. Three fair coins are tossed at once. What is the probability that two or more come up heads? A. 1/8 B. 1/4 C. 1/2 D. 3/4 E. 7/8
C
TEST 1 #12. Consider a parallelogram with perimeter 36. What is its area? 1) One side is twice as long as one other 2) One angle is 80o A. statement 1 alone sufficient but statement 2 alone not sufficient B. statement 2 alone sufficient but statement 1 alone not sufficient C. both together sufficient but alone not D. each alone sufficient E. together not sufficient
C
TEST 2 #36. A population of rabbits grows by 10% every month. If the population begins with 1000 rabbits, how many rabbits will there be in 6 months? A. 1234 B. 1451 C. 1772 D. 2003 E. 2304
C
TEST 4 #33. The diagonal of a rectangle is the same length as the distance between two points: (1,4) and (3,9). If the length of the rectangle is √13, what is the width of the rectangle? A. 2 B. 3 C. 4 D. 4SQRT2 E. 7
C
TEST 4 #37. A soda bottle can be filled completely by a faucet in 10 seconds. The bottle also has a hole that can drain the full soda bottle to empty in 30 seconds. If the bottle is initially empty when the faucet is turned on, how long will it take for the bottle to be fully filled? A. 10s B. 12s C. 15s D. 20s E. 20s
C
TEST 6 #11. Jess can buy buttons in quantities of 80 and 15. If Jess wants to buy exactly 500 buttons, what is the maximum number of packs of 80 Jess can buy without going over 500 buttons? A. 2 B. 3 C. 4 D. 5 E. 6
C
TEST 6 #25. Three fair coins are tossed at once. What is the probability that two or more come up heads? A. 1/8 B. 1/4 C. 1/2 D. 3/4 E. 7/8
C
TEST 6 #3. If a= log272 and b=log23, which of the following is equal to a - 2b? A.1 B.2 C.3 D.4 E.5
C
TEST 6 #34. Approximately what is the measure of each interior angle in a regular 13-gon? A. 144 B. 148 C. 152 D. 160 E. 172
C
TEST 6 #35. A bird launches into flight from a point on the ground. The bird can fly 8 feet per second horizontally and 6 feet per second vertically. After 10 seconds, how far has the bird flown relative to its initial spot on the ground? A. 10FT B. 50FT C. 100FT D. 500FT E. 1000FT
C
TEST 6 #36. Bill can mow a lawn in one hour and twenty minutes. If Bill and Dave can mow the lawn together in a half hour, how long does it take for Dave to mow the lawn alone? A. 30MIN B. 36MIN C. 48MIN D. 50MIN E. 90MIN
C
TEST 6 #38. If Corey gave 70 stickers to Jared, and Jared gave 10 stickers to Megan, all three kids would have the same amount of stickers. How many more stickers does Corey have than Megan? A. 60 B. 70 C. 80 D. 90 E. 110
C
ALGEBRA#92. A filled grain silo has three cracks. One crack allows 1/5th of the total volume through per day. The second crack allows 1/4th of the total volume through per day, and the final crack allows 1/2 of the total volume through per day. How many hours will it take for the silo to completely empty? A.23 B. 24 C. 25 D. 26 E. 27
D
APPLIED #1. A new Apple computer costs $1000 more than a new Dell computer. If the Dell computer is 2/3 the cost of the Apple computer, what is the cost of the Dell computer? A. $1000 B. $1500 C. $1750 D. $2000 E. $3000
D
PROBABILITY#85. There are seven bridges connected to an island. How many different ways can some one enter the island on one bridge and leave on a different bridge? A. 7 B. 14 C. 25 D. 42 E. 49
D
TEST 1 #23. Three dice are rolled. What is the probability that all three dice come up with the same number? A. 1/216 B. 1/108 C. 1/72 D. 1/36 E. 1/2
D
TEST 1 #34. A tin can is a closed cylinder of radius 3 centimeters and height 9 centimeters. If the top of the can was removed to get at the contents inside, what fraction of the surface area of the can is left? A. 1/2 B. 5/8 C. 3/4 D. 7/8 E. 1/8
D
TEST 2 #24. 13 business men all have to shake each others' hands. How many handshakes will take place in total? Assume that each businessman only shakes hands with everyone once. A. 13 B. 39 C. 52 D. 78 E. 156
D
TEST 6 #29. There are seven bridges connected to an island. How many different ways can some one enter the island on one bridge and leave on a different bridge? A. 7 B. 14 C. 25 D. 42 E. 49
D
APPLIED #14. A liquid hydrogen peroxide mixture is made up of hydrogen peroxide and water. How much pure hydrogen peroxide must be added to bring a 2 liter mixture of 50% hydrogen peroxide up to a mixture of 65% hydrogen peroxide? A. 0.25L B. 0.33L C. 0.5L D. 0.66L E. 0.86L
E
CONVERSION#6. One liter of water contains 1,000 cubic centimeters (cc) of water. How many cubic millimeters of water make up one liter? A. 100 B. 1,000 C. 10,000 D. 100,000 E. 1,000,000
E
TEST 1 #35. A cylindrical can has a volume of 48π. If the can has a height of 3, what is the circumference of the circular cross section of the can? A. 2PI B. 3PI C. 4PI D. 6PI E. 8PI
E
TEST 2 #12. Let x and y be the coordinates of a point on the perimeter of a circle centered at the origin. What is the value of x + y? 1) x/y = 1 2) x2 + y2 = 4 A. 1 alone sufficient but 2 alone not B. 2 alone sufficient but 1 alone not C. both together sufficient but alone not D. each alone sufficient E. together not sufficient
E
TEST 6 #21. One liter of water contains 1,000 cubic centimeters (cc) of water. How many cubic millimeters of water make up one liter? A. 100 B. 1000 C. 10000 D. 100,000 E. 1,000, 000
E
ALGEBRA#58. Jacob is astonished to find the value of his home is $150,000. He calculates that the value of his car, increased by half, is 30% the value of his home. What is the value of his car? A. $40,000 B. $30,000 C. $20,000 D. $10,000 E. $5,000
B
ALGEBRA#68. A certain hallway in a crowded nightclub has a unique sound property. Every 2 feet closer to the stage you walk, the sound intensity (dB) doubles. If the threshold for pain is 129 dB, and the starting sound level is 2 dB, about how many feet down the hallway can you go before feeling pain? A.7 B.12 C.15 D.20 E.30
B
APPLIED #43. Two gears are turning together. One gear has a radius of 4 centimeters, while the other gear has a radius of 1 centimeter. After the smaller gear has turned 20 full revolutions, how many revolutions has the larger gear made? A. 3 B. 5 C. 10 D. 20 E. 80
B
PROBABILITY#37. What is the probability of pulling two cards from the same suit in a row, with each card coming from a separate 52 card deck? A. 4/13 B. 1/4 C. 1/8 D. 1/16 E. 1/32
B
PROBABILITY#80. How many ways can 4 identical footballs and 3 identical basketballs be ordered on a shelf? A. 12 B. 35 C. 64 D. 125 E. 210
B
TEST 1 #21. The standard deviation of {10, 15, 20, 25, 30} can be best approximated by which of the following? A. 3.3 B. 7.5 C. 12.2 D. 14.6 E. 15.7
B
TEST 1 #22. What is the probability of pulling two cards from the same suit in a row, with each card coming from a separate 52 card deck? A. 4/13 B. 1/4 C. 1/8 D. 1/16 E. 1/32
B
TEST 1 #28. Constantine picks two letters at random from the word CONSTANTINOPLE with replacement. What is the probability that both letters picked are consonants? A. 9/15 B. 81/196 C. 5/14 D. 25/196 E. 14/ 196
B
TEST 4 #36. Tim invests $1000 in an account that accrues 12% interest per year, compounded quarterly. After 15 months, how much interest has Tim earned? A. $50 B. $160 C. $405 D. $574 E. $762
B
TEST 4 #39. A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of 2 yards per second. He sprints the last part of the field at a rate of 4 yards per second. If the whole run takes 40 seconds, what is the fraction of the length of the field that the runner sprints? A. 1/2 B. 2.5 C. 1/3 D. 3/5 E. 2/3
B
TEST 4 #8. What is the largest possible value of x in the solution to 3 - x ≥ 7? A. -10 B. -4 C. 4 D. 10 E. 14
B
TEST 4 #8. What is the largest possible value of x in the solution to 3 - x ≥ 7? A. 12 B. 35 C. 64 D. 125 E. 210
B
TEST 6 #27. How many distinct ways can 2 people sit in 5 chairs? A. 10 B. 20 C. 50 D. 60 E. 80
B
TEST 6 #37. A bag of chips normally costs $2. If there is a sale to get 12 bags of chips for the price of six, what is the price per bag of chip, taking into account a 10% sales tax? A. $1 B. $1.10 C. $1.25 D. $1.30 E. $1.42
B
ALGEBRA#27. Casey is selling 1 orange for x dollars. How many oranges can you buy for 80 cents? A. 1/x B. 10/X C. 4/5X D. 8/5X E. 6X/5
C
APPLIED #2. A bird launches into flight from a point on the ground. The bird can fly 8 feet per second horizontally and 6 feet per second vertically. After 10 seconds, how far has the bird flown relative to its initial spot on the ground? A. 10FT B. 50FT C. 100FT D. 500FT E. 1000FT
C
APPLIED #49. Karen buys enough cans of soda to last her 30 days. The next time Karen is at the store, she sees that the price of cans of soda is on-sale for 25% less than their original value. If Karen spends the exact same amount on cans of soda, how long will the new on-sale supply last her? A. 20days B. 30 days C. 40 days D. 45 days E. 50 days
C
PROBABILITY#23. How many distinct ways can you select 2 people from a group of 10, if the order they are picked matters? A. 10 B. 45 C. 90 D. 100 E. 300
C
PROBABILITY#31. The mean and standard deviation of a set of data is given by m and s, respectively. If 10 additional data points are added exactly at the mean, which of the following is true? A. m stays the same, s decreases B. m stays the same, s increases C. m decreases, s stays the same
A
PROBABILITY#38. A nickel, a dime, and a quarter are tossed in the air. What is the probability that the dime and quarter come up heads and the nickel comes up tails? A. 1/8 B. 1/4 C. 3/8 D. 1/2 E. 5/8
A
PROBABILITY#5. How many different combinations of 3 apples can be picked from a set of 7 identical apples? A. 35 B. 70 C. 210 D. 1020 E. 5040
A
TEST 3 #7. Which of the following is equivalent to the inequality 1/3X +2 > 2/5X +1 A. X<15 B. X<-15 C. X >15 D. X> -15 E. X= 15
A