Algebra
What is the slope of the line passing through the points
(-6, -1) and (2 , 4)?
5/8
What is the median of this set of numbers?
1, 4, 6, 10
5
What is the inverse function of cosine, and how is it notated on a calculator?
Secant, cos^-1
Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?
3 books
Who created the Pythagorean Theorem?
Pythagoras
The perimeter of a regular octagon is 128 inches. Find the length of each side.
16 inches
What is the mean of this set of numbers?
6, 10, 34, 45
23.75
What is the derivation of velocity, in respect to time?
Acceleration
Sally has 75 apples and splits them equally among 5 people. How many apples does each person have?
15
What are the first five digits of pi?
3.1415
Expand the following into standard form: (3a - 4b)(9c + d)
27ac + 3ad - 36bc - 4bd
The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times will you roll a 1?
Cannot be determined.
Integrate the following:
6x^2 + 4x + 5
2x^3 + 2x^2 + 5x + C
No points unless you had C
Josh is a risky driver and is driving down the road at 20 m/s. He accelerates at a rate of 5 m/s^2. How fast is he going after 5 seconds?
45 m/s
(100 mph)
What is the value of 5! ?
5*4*3*2*1 = 120
The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y = 2000. What are the coordinates of the reflected point?
(1000, 1988)
A card is drawn randomly from a deck of ordinary playing cards. You win if the card is a spade or an ace. What is the probability that you will win the game? (there are 52 cards in a deck)
16/52 = 4/13
Derive the following:
(x+1)sin(x)
sin(x) + (x+1)cos(x)
A unit of blood expires after 10! (= 10·9·8...·1) seconds. Yasin donates a unit of blood at noon on January 1. How many days later does his unit of blood expire?
Answer options: 3, 17, 42, 218, 1008
42 days
Which country is the "Father of Algebra" from?
Options: Britain, Czechoslovakia, Egypt, Senegal, Persia
Persia
Find three consecutive odd integers whose sum is 13 more than twice the largest of the three integers.
n + (n+2) + (n+4) = 2(n+4) - 13
15, 17, 19
A middle school chess club has 5 members: Adam, Bradley, Carol, Dave, and Ella. Two students from the club will be selected at random to participate in the county chess tournament. What is the probability that Adam and Ella will be selected?
1/10
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given 100ft of wire fencing, determine the dimensions that would create a garden of maximum area. What is the maximum area?
Options: 625, 762, 885, 1063, 1250
1250 ft^2
A student is applying to two different scholarships. The probability that the student will be awarded scholarship A is 0.55 and the probability that the student will be awarded scholarship B is 0.40. Furthermore, if the student is awarded scholarship A, the probability that the student will be awarded scholarship B increases to 0.60. What is the probability that the student will be awarded at least one of the two scholarships?
Options: .60, .62, .71, .73, .95
.62
Double points for the team that gets this right. :)
The mean, median, and mode of the 7 data values 60, 100, x, 40, 50, 200 and 90 are all equal to the unknown value in the set. What is x?
Answer options: 50, 60, 75, 90, 100
90