Random Topics
Numbers and Operations
Algebra
Geometry and Measurement
Probability, Statistics, and Data Analysis
100

In the xy-plane, the graph of which of the following equations is a line with a slope of 3 ?     A) y = 1/3 x     B) y = x − 3     C) y = 3x + 2     D) y = 6x + 3

what is c
100

If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n?

What is 63

100

2a/b = 1/2, what is the value of b/a?

What is 4?

100

What is the sum of the angles of a triangle?

What is 180

100

How many different, positive two-digit integers are there such that the tens digits is greater than 5 and the units digit is odd?

What is 20

200

What is the sum (7 + 3i) + (−8 + 9i) ?

-1 + 12i

200

The Environmental Club receives a certain amount of money from the school to host a teach-in. They budget 40% of the funds for a guest speaker, 25% for books, 20% for use of the auditorium, and the remainder for lunch. If the club plans to spend $90 on lunch for the participants, how much do they plan to spend on the guest speaker?

What is $240

200

In a certain building, there are 10 floors and the number of rooms on each floor is R. If each room has exactly C chairs, write an expression that gives the total number of chairs in the building?

What is 10RC

200

How many square units is the area of an isosceles right triangle in which the hypotenuse has a length of 8 sqrt 2?

What is 32

200

Jill's pocket contains 3 quarters, 4 dimes, 2 nickels, and 6 pennies. If she takes out one coin at random, what is the probability that the coin is worth more than 5 cents?

What is 7/15

300

g(x) = 2x − 1 h(x) = 1 − g(x) The functions g and h are defined above. What is the value of h(0)?

what is 2

300

What is the least possible integer value for which 40% of that integer is greater than 2.8?

What is 8

300

If 30/(x+2)=5, what is the value of 3x?

What is 12

300

Two parallel lines are drawn in a plane. Two additional lines are drawn in the same plane, in such a way that there are exactly three different intersection points between the four lines. Neither of the additional lines is parallel to the two original lines. Into how many non-overlapping regions do these lines divide the plane?

What is nine

300

A certain game requires the player to toss four six-sided number cubes simultaneously. What is the probability that the player will roll all ones?

What is 1/1296

400

Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill an 8 oz. glass with 1 gallon of water?

What is 16

400

If the manager of a store adds 50 lamps to its current inventory, the resulting total number of lamps will correspond to three-halves of the current inventory. If the manager wanted to increase the current inventory by 40%, what would his new inventory of lamps be?

What is 140

400

What is the value of x if 2x+3y=11 and 2x-y=7?

What is 4

400

What is the sum of the angles of an octagon?

What is 1080

400

A store sells 9 types of pants, 13 types of shirts, and 7 types of shoes. How many different combinations of one pair of pants, one shirt, and one pair of shoes can a customer buy?

What is 819

500

In a right triangle, one angle measures x°, where sin x° =3/5. What is cos(90° − x°) ?

what is 3/5

500

If a and b are positive integers and the ratio of a+1 to a+2 is the same as the ratio of b+3 to b+4, which of the following MUST be true?    A. a=4     B. b=2      C.    a-b=2    D. None of these

What is C

500

If z>0, x=z^(2)+3y, and y-1=z^(2), what is z in terms of x?

What is the square-root of [(x-3)/4]

500

Points A,B,C, and D lie on a line in that order. B is the midpoint of segment AC and C is the midpoint of segment AD. If the length of segment AD is 16 centimeters, what is the length of segment BD in meters?

What is .12 meters

500

On a certain test, a class of 12 students has an average score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes?

What is 83