Geometry
The figure on the right was cut from a square whose side has a length of 12. What is the perimeter of ABCDEF?
48
Carlos drives from Appleville to Bananatown, a distance of 200 miles. He then drives from Bananatown to Carrotville, a distance of 120 miles. He then drives from Carrotville to Datetown and knows that this is 1/5 of the total distance he has traveled. How many total miles has Carlos drove.
Carlos drove 400 miles.
What is the simplest radical form of (x2y5)1/5?
y(5√ x2)
Nine years from now, Sam will be twice as old as he was three years ago. How old is Sam now?
15 Years Old
A set of 5 positive integers has a median of 6 and a mean of 4. There is only one mode in this set, 6. Find the set of 5 integers.
1, 1, 6, 6, 6
Point E is selected on side DC of square ABCD shown on the right so that DE = 5 and EC = 6. Point F is selected on side DA so that DF = 2. Find the area of the shaded region.
83
7x + 11y = 9
11x + 7y = 13
What does x + y equal?
x + y = 11/9
What is the product of (2 + 3i) and (5 - 4i)?
22 + 7i
Four couples go to the movies. In how many ways can they be seated in eight seats if each couple must sit together?
384
In a group of 32 students, 17 students take French and 19 students take biology. If 11 students take both French and biology, how many take neither?
7 students take neither
Equilateral triangle ABC is shown with AC = 6. Points D and E are chosen so that DB = EB = 2. What is the area of the quadrilateral ADEC? *Image shown on slides*
8√3
Steve has $3.80 in coins on him. If he only has dimes and quarters and has twenty coins in all, how many quarters and dimes does he have.
8 Dimes and 12 Quarters
What is the interval that describes the domain of
f(x) = -2 + 1/(x+4)
(-∞, -4) and (-4, ∞)
On February 3, four people in a town who loved math held a meeting. The mayor gave any person who attending this meeting $1 for each time they attended. New meetings were held each week on the same day and time. Each math lover brought 2 more math lovers with them to each meeting. On March 2, how many dollars have been given out.
$160 have been given out.
On the island of Geen, 50 Bananas = 20 Coconuts, 30 Coconuts = 12 Fish, and 100 Fish = 1 Radio. How many bananas equal 1 radio.
625 bananas
In rectangle ABCD, AB = 20 and BC = 24. E is on line DC so that DE = 18. Line BF is drawn perpendicular to line AE, intersecting line AD at point F and line AE at point G. What is FG?
9
y = ax2 + bx + c. What is the product of abc?
1/2
Express x4 + 64 as the product of two trinomials with integral coefficients.
(x2 - 4x + 8)(x2 + 4x + 8)
Sari scores 173 points on a certain contest of 50 questions. She receives 8 points for each correct answer, 3 points for each omitted answer and 0 points for each wrong answer. What is the maximum number of wrong answers she could have?
24
Tanya tosses 4 fair coins. At least one coin shows heads. In decimal form find the probability that exactly two coins showed tails.
0.4
18√3
Arthur looks in his bank and sees that he has quarters and dimes in the ratio of 3:2. All together, he has $23.75. If the number of quarters is Q and the number of dimes is D, what is (Q,D)?
(75,50)
The path of a kicked soccer ball can be modeled by the function f(x) = 26 + 2x - x2, where x is the horizontal distance(in meters) and f(x) is the height(in meters). If the height is 2 meters, what is the horizontal distance?
12 meters
When filled to capacity, each of the two cylinders hold equal amounts of liquid. One cylinder has a height of 12 and a circumference of 12π(pi). The other cylinder has a height of h and a circumference of 8π(pi). What is the value for h?
27
A deck of cards consists of 1 one, 2 twos, 3 threes, and so on up until 10 tens, with no other cards. Two cards are picked at random without replacement. What is the probability that they are a pair?
1/9