GEOMETRY
What is the area of a square that has an perimeter of 40?
100
If x^-2 = 256, what is the value of x^(1/4) + x^(1/2)?
3/4
If 1/2 of a number is 1 less than twice the number, the number is
2/3
What is the slope of a line parallel to y=-2x+4?
-2
What is the probability of randomly drawing an Ace from a standard deck of cards?
1/13
What is the circumference of a circle with an area of 49pi?
14pi.
Let the function f be defined by f(x) = 5x-2 and let the function g be defined by g(x) = x^2. Evaluate f(g(5)).
123
Jerry's scored 20 more points than Sherry when they went bowling. Together, they scored 204 points. How many points did Sherry score?
92
3x-6=(2x-3)/4
Solve for x.
21/10
A fair coin has been flipped 100 times. Out of the 100 flips, the coin showed heads 98 times. On the 101st coin flip, is the coin more likely to land heads or tails?
Both are equally likely.
The legs of a right triangle measure 3 and 4, respectively. What is the length of the hypotenuse?
5.
A culture of 5000 bacteria doubles every 30 minutes. What is the size of the bacteria population after 4 hours have elapsed?
1,280,000
The first number is 10 less than the second. The third number is 8 more than twice the first. If the second number is 10, what is the sum of all three numbers?
18
Simplify (2a+a-8)(9b-b-6b)
6ab-16b
10 numbers are randomly chosen (the same number can be chosen more than once). Which of the following sequences is more likely?
a. 1234567890
b. 2917420163
Both are equally likely.
What is the height of a triangle with a base of 6 and an area of 15.
5.
What is the slope of the line perpendicular to the line y=2x-3.
-1/2
There are two atoms of hydrogen and one atom of oxygen in one molecule of water. How many atoms of hydrogen are there in 51 molecules of water?
102
What is the y-intercept of the line 6x+4y=12
3
_ _ + _ _
What is the largest sum that can be obtained by filling these blanks using the digits 0-9 at most one time each?
183
What is the measure of the diagonal of a square with an area of 81?
9√2
9sqrt(2)
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
25.4
A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)
168,000
6/(x-5)=3/(x-5)
Solve for x.
No solution.
What is the sum of the first 1000 positive integers? (1, 2, 3, ...)
500500