Show:
SAT Math
Algebra
Triginometry
Functions
Statistics
100
145, 300, 610, 1230 In the above sequence every term after the first is formed by multiplying by x and then adding y, where x and y are positive integers. What is the value of x + y?
What is 12
100
Solve for x: 2(3x+(8/3))=(1/12)x
What is 64/71
100
The angle of depression is 25 degrees from a pilot looking at a car on the ground, who is 2000 feet west of the pilot. How high (in feet) is the plane above the ground?
What is 932.615
100
What is the slope of the line that is perpendicular to the line y=(7/5)x-(2/5) ?
What is -(5/7)
100
What is the probability that a 2 or a 3 is rolled on a normal 6-sided die, twice in a row?
What is 1/9
200
If a cube has a volume of 64, what is the perimeter of one face of the cube?
What is 16
200
If S is the sum of 8,6,4,2 and x, what must be the value of x for x to equal 1/5 S ?
What is 5
200
Express cos(x)/sin(x) as a single function.
What is cot(x)
200
If f(x) = (12 – x)3/2, and n = f(3), what is the value of 2n?
What is 27
200
Suppose license plates have 6 digits (26 letters of the alphabet and numbers 0-9). How many different license plates can be made if the 1st digit must be an even (including 0) number, 3rd digit must be a letter and the last digit must be a number.
What is 60652800
300
A car is driven 2 miles (5280 feet = 1 mile) across town. If the radius of a wheel on the car is 1 foot, how many revolutions has the wheel made (to the nearest thousandth)?
What is 16587.609
300
The volume, V, of a gas varies inversely as the pressure, p, in a container. If the volume of a gas is 200cc when the pressure is 1.6 liters per square centimeter, find the volume (to the nearest thousandth) when the pressure is 2.8 liters per sq centimeter.
What is 114.286
300
A ladder is rested against a side of a building. It makes a 60 degree angle with the ground. The height of the building up to the point that the ladder reaches is 3 less than twice as great as the distance from the building's edge to the end of the ladder on the ground. What is the length of the ladder (to the nearest thousandth)?
What is 22.392
300
The graph of y=2^x is shifted 3 units to the left. What is the resulting graph's equation?
What is y=2^(x+3)
300
Two dice are rolled. Find the probability that the sum of the two dice is 6.
What is 5/36
400
The average IQ of 4 people is 110. If three people each have an IQ of 105, what is the IQ of the fourth person ?
What is 125
400
In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?
What is 5
400
What is the smallest, positive value of x (in degrees) that can solve the equation: sin(x)=cos(x)?
What is 45
400
Given f(x)=x^2 , g(x)=2x , h(x)=x-2 , find ((f o g) o h)(x) at x=3 .
What is 4
400
There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?
What is 23023
500
The quantity 12^100 is NOT divisible by which of the following (18,24,27,30,36)?
What is 30
500
If you pour half of a full small bucket of water into an empty big bucket, the big bucket will be three-tenths full. How many times bigger than the small bucket is the big bucket (to the nearest hundredth)?
What is 1.67
500
If sin^2(x) - 4sin(x) + 3 = 0, solve for x in the interval [0, 2pi).
What is pi/2
500
For all numbers x and y, let the operation @ be defined by x@y=xy-y. If a and b are positive integers, which of the following can be equal to zero (combination of answers possible)? I. a@b II. (a+b)@b III. a@(a+b)
What is I,III
500
Four positive numbers a, b, c, and d have mean x and median y. If a < b < c < d then which of the following is (are) possible? I. x < y/2 II. y = b III. x > c
What is III only