Exponentials
What is 8^2 - 4^2 divided by 2^2
12
40. What percent of 25 is 8?
32%
37. In isosceles triangle LMN, only angle L measures 68 degrees. What is the degree measure of angle M?
56 degrees
48. At a garage sale, Jinna bought an antique dollhouse for $450 and furnishings for six rooms in the dollhouse for $17 per room. The cost of a family of miniature dolls was $24. If she paid for all items with $100 bills, how much change did she get back?
$24
169. Cassidy's yard is filled with daisies and buttercups. The buttercups have five petals each and the daisies has 34 petals each. There are three times as many buttercups as daisies. If Cassidy counts 1078 petals on the flowers in her yard, how many buttercups are there?
66 buttercups
25^2 * 10^2 divided by 5^2
2500
70. Ryan took 120 pictures on his nature hike. He sorted the pictures into categories and found that 10% were of trees, 5% were of flowers, 18 pictures were of insects, 45% were of seashells, and 6 pictures were of birds. The remaining pictures were rocks. If no picture belongs to more than one category, what percentage of the pictures were rocks?
20%
88. In equilateral triangle XYZ, YZ = 3x+1 and XZ = 4x-7. If all lengths given are in feet, what is XY?
25 feet
34. Lisha is mowing lawns. She takes a break between each lawn she mows and the next, and the lengths of all breaks are the same. She starts mowing the first lawn at 10am and finishes the fourth lawn at 2pm. The first takes 75 minutes to mow, the second lawn takes 30 minutes and the last two take 45 minutes each. How long is each break?
15 minutes
131. A bag contains one red chip, two blue chips, and three white chips. Two chips are randomly drawn from the bag, without replacement. What is the probability that there will be at least one chip of each color in the bag after two chips are drawn? Express your answer as a common fraction.
3/5
(34^2 - 25^2) * 3^3
14337
99. A collectable comic book is on sale for 80% off its list price of $60. A vintage movie poster is on clearance for 25% of 60% of its list price of $80. What percent of the comic book's sale price is the poster's clearance price?
25%
97. Rectangle ABCD has DC = 12 feet and AD = 21 feet. If point P lies on side BC so that AP is 13 feet, what is DP?
20 feet
56. Each of 8 treasure chests contains at least 100 gold doubloons. Each treasure chest holds a different number, except for two chests that contain the same number of doubloons. What is the smallest total number of doubloons the 8 chests could contain?
821 gold doubloons
133. Maclay is three times as old as Pierce. Seven years ago, Maclay was four times as old as Pierce. How many years from now will Maclay be twice as old as Pierce?
21 years
{(((13*4)/2)^2) * 7} / 2
2366
185. Sera bought a new camera for the discounted price of $556.15. If the original price of the camera was $1,589.00, what percentage of the original price did she pay?
35%
96. Ani's house is located at the intersection of Oak and Broad streets. Cindi's house is at the intersection of Broad Street and Seaton Lane. There are two routes Ani can take from home to Cindi's house. Either she can travel 1.5 mi south on Oak and then continue east along Seaton Lane for 2 mi, or she can go directly to Cindi's house traveling along Broad Street. How much shorter is the direct route along Broad Street?
1 Mile
72. Ammar exits his apartment on floor 107 of his building. He takes the elevator down 31 floors to the swimming pool. After a quick swim, he takes the elevator up 46 floors to the Atmosphere Restaurant. After dinner, he takes the elevator up 26 floors to the lounge. Ammar takes the elevator down 24 more floors to an observation deck. How many floors will Ammar travel to go directly to his apartment from here?
17 floors (down)
194. Dion writes the positive integers from 1 through 15 inclusive, in a row, in ascending order. What is the smallest number that Dion can cross off so that the sum of the numbers to the left of the crossed off number is at least the sum of the numbers to the right of the crossed off number?
Dion crosses off 11
SQRT of (((17 * 5)^3) / 5) : Round to the hundreth
350.46
160. A fun sized package of jelly beans contains one red, four orange, two yellow, one green, five blue, and seven pink jelly beans. What percentage of the jelly beans are red? Express your answer to nearest whole percent.
14%
134. Line AB is parallel to line CD, and angle ABE measures 42 degrees. Angle CDE measures 37 degrees. A reflex angle is an angle whose degree measure is strictly between 180 and 360 degrees. What is the degree measure of the reflex angle BED?
281 degrees
113. Dawn collected 24 clam shells from the beach. The clam shells represent 2/9 of all the shells she collected. Periwinkle shells make up 1/6 of all shells collected. She collected the same amount of whelk shells as periwinkle shells, and 1/9 of the shells are murex. The rest of the shells are oyster shells. How many oyster shells did she collect?
36 Oyster Shells
67. Venus was asked to solve 50 questions on a math test. She earned 5 points for each question she solved correctly. Three points were subtracted for each question solved incorrectly. Venus answered all 50 questions and earned a score of 186 points. How many questions did Venus answer correctly?
42