Algebra
Geometry
Stats
Trigonometry
Word Problems
100
If 3x−y=12, what is the value of 8x2y?
212
100
What is the distance between points A (2,2) and B (5,6)?
5
100
Herbie's practice bag contains 4 blue racquetballs, 1 red racquetball, and 6 green racquetballs, if he chooses a ball at random, what is the probability that the ball will not be green?
0.45
100
If the cotangent of angle A is 1, then the tangent of angle A is?
1
100
Trinity has 8 apples and then she gained 50% more apples. John has 75% less apples than Trinity after she gained apples. How many apples does John have. Round to the nearest whole number.
John has 9 apples
200
If x-z=6, and y=3x-2-3z, then y= ?
16
200
The circumference of a circle is 30
. What is its area?
225
200
Anthony makes $4,000 a month as a bartender 10 months of the year, and for 2 months, he works in a jazz club where he makes $6,000 a month.
What is Anthony's average monthly salary in a year?
4333
200
A laser is placed at a distance of 47 ft from the base of a building that is 23 ft tall. What is the angle of the laser (presuming that it is at ground level) in order that it point at the top of the building?
26.08
200
If 2 less than 3 times a certain number is the same as 4 more than the product of 5 and 3, what is the number?
7
300
Number of boys in a class is three times the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Mary, Clara, Gina, Alexis, Martha and Trisha. How many boys study in this class?
30
300
A student creates a challenge for his friend. He first draws a square, the adds the line for each of the 2 diagonals. Finally, he asks his friend to draw the circle that has the most intersections possible. How many intersections will this circle have?
12
300
An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle?
7 min per mile
300
If the sine of an angle equals 2/3, and the cosine of the same angle equals 5/12, what is the tangent of the angle?
8/5
300
A certain number of books are to be given away at a promotion, if 2/5 of the books are distributed in the morning, and 1/3 of the remaining books are distributed in the afternoon, what fraction of the books remain to be distributed the next day?
2/5
400
If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?
m+7
400
One-half of the measure of the supplement of angle ABC is equal to the twice the measure of angle ABC. What is the measure, in degrees, of the complement of angle ABC?
54
400
Kobe Bryant has averaged about 29.5 points a game through the first 81 games of the NBA season. His goal is to average at least 30 points per game for the season. What is the least amount of points he needs to score in his last game of the season to achieve his goal? (There are 82 games in a season.)
71
400
Consider a right triangle with an inner angle x(x<90∘).
If cosx=3/5 and sinx=4/5, what is tan x?
4/3
400
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (Note: Ignore the percent symbol when entering your answer. For example, if the answer is 42.1%, enter 42.1)
60
500
The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant. What is the value of a?
-3
500
y = x2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
-257
500
Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
40
500
What is the reference angle of an angle that measures 3510 in standard position?
90
500
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
15 minutes