Which prime number is the only even one?
2
On a map, 1 inch represents 20 miles. The distance between 2 towns is 615 inches. How many miles are between the two towns?
124
Two angles of a triangle measure 15° and 85°. What is the measure for the third angle?
80
limx-->2((t2-3t+2)/(t2-4))
1/4
This statistical measure of central tendency represents the middle value in a data set when the numbers are arranged from smallest to largest.
Median
Also known as Leonardo of Pisa, this famous Italian mathematician is best known for discovering a sequence where each number is the sum of the two previous numbers.
Fibbonaci
If 2x – 5 = 5x + 4, then x2 + x
6
Find the area of a circle with circumference 32pi
256pi
take the derivative of:
f(x)=2x3-3/x3
6x2-1/x2
The scores of a batsman in 10 cricket matches are as follows: 38, 45, 50, 60, 65, 70, 75, 80, 85, 90. Calculate the mean score.
65.8
What country invented the use of negative numbers?
China
Evaluate 163/4
8
The perimeter of a rectangle is 28 in. If its length is 9 in., find its area.
45 sqr in
Find the derivative of
f(x)=sinx+cosx
f'(x)=cosx-sinx
In a class of 30 students, 18 play football, 15 play basketball, and 7 play both. How many play neither?
4
Although the exact origin is unknown, this piece of technology and calculating tool used beans or stones moved in grooves of sand to perform calculations. Although computers have mostly replaced it, this tool is still in use for teaching arithmetic to children in many parts of the world. What is it?
Abacus
Simplify log9(3) log5(1/25)
-1
This famous Greek mathematician, and author of The Elements, is known as the “Father of Geometry.”
Euclid
This famous English mathematician is often credited as the inventor of calculus also had a deep interest in alchemy, spending many years of his life conducting secret experiments in the hope of discovering the fabled Philosopher’s Stone.
Issac Newton
According to the empirical rule, the bell or mound shaped distribution will have approximately 95% of the data within what number of standard deviations of the mean?
2
What is the only temperature that is identical in both Celsius and Fahrenheit?
-40
write out the first and second quadrants of the unit circle including all major radian measures and coordinates. (do not need degrees)
unit circle
(1,0) (sqrt3/2, 1/2), (sqrt2/2, sqrt2/2), (1/2, sqrt3/2), (0,1) (repeat for second quadrant with appropriate negatives)
pi/6, pi/2, pi/3, pi/2, 2pi/3, 3pi/4, 5pi/6
A boy is mowing a rectangular lawn 40 ft. long and 30 ft. wide. He has cut all of it except for a rectangle that is 20 ft. long and 15 ft. wide. What fractional part of the lawn remains uncut?
1/4
solve the integral
int (3x2+2x)dx
x3+x2+c
This famous German mathematician is best known for his contributions in the field of statistics and the Gaussian distribution, which we know today as the normal distribution curve.
Charles Frederick Gauss