In triangle ABC, m measure of

The height of Hyperion, the tallest redwood tree, is 380 feet. The three-year old redwood tree in Paul’s backyard is 19 feet tall. The height of Hyperion is how many times the height of Paul’s tree?

If k! = 2^7 x 3^2 x 5 x 7, what is the value of k?

A bag has one white, two black, three red and four green marbles. If a single marble is randomly drawn from this bag, what is the probability it is black or white? Express your answer as a common fraction.

Hexagon ABCDEF is drawn in the coordinate plane with vertices A(0, 0), B(4, 0), C(4, 2), D(2, 2), E(2, 4) and F(0, 4). What is the perimeter of hexagon ABCDEF?

If Rose and Robyn ran 29 miles combined, and Robyn ran 4 miles less than
twice as much as Rose, how many miles did Rose run?

If d is 10% greater than c, c is 25% less than b, and a is 50% greater than b, by what percent is d less than a?

If y = 2x + 7 and x = 2, what is the value of y?

The length of a particular rectangle is 2/5 its perimeter. If the length of the rectangle is 12 cm, what is its width?

The square of 207 can be computed by multiplying 200 by 200 + x and adding 49. What is the value of x?

Starting at 9:00 p.m., Joe watches three films consecutively, with no breaks in between. The first film is the same length as the third film, and the second film is 50% longer than each of the other two films. If Joe finishes the third film at 2:15 a.m., how many minutes long is the second film?

The first six terms of an arithmetic sequence are 12, w, x, 33, y, z. What is the value of w + z?

A, B, C, D, E, F and G are points on the same line and AB = 24 units. The midpoint of segment AB is C. The midpoint of segment CB is E. The midpoint
of segment AE is D. The midpoint of segment AC is F. The midpoint of segment EB is G. What is the length of segment FG?

The sum of nine nonnegative numbers is 200. If M and A represent the median and arithmetic mean of the nine numbers, respectively, what is the greatest possible value of M – A? Express your answer as a common fraction

What value of n satisfies (n + 1)! – n! = 4320?

If a, b and c are positive integers such that a − bc = 19 and a + bc = 99, what is
the least possible value of a + b + c?

A canary flies directly east 4000 meters at a speed of 20 m/s. It then immediately turns and flies directly north for 3000 meters at a speed of 30 m/s. The canary then flies back to its starting point in a straight line in 100 seconds. What is the
average speed of the canary over the entire trip?

The sum of six consecutive integers, the least of which is 30, can also be written
as a sum of five consecutive integers. What is the greatest of these five integers?

How many of the first 1024 positive integers are neither perfect squares nor perfect fifth-powers?

A rectangle is twice as long as it is wide. When the lengths of all sides are increased by 3 feet, the area of the new rectangle is triple that of the original
rectangle. What is the length of the new rectangle?