How many fewer minutes does it take to drive 35 miles at 30 mi/h than to drive the same distance at 25 mi/h?

When rolling two fair, standard dice, what is the probability that the sum of the numbers rolled is a multiple of 3 or 4? Express your answer as a common fraction.

Koka-Kola is sold in packages of eight 12-ounce bottles. Pepsy-Kola is sold in packages of six 16-ounce bottles. In ounces, what is the absolute difference in the total number of ounces in a package of Koka-Kola and a package of Pepsy-Kola?

Two cylinders are equal in volume. The radius of one is doubled, and the height of the other cylinder is increased to k times its original height. If the two new cylinders are equal in volume, what is the value of k?

Which two of the following four statements, labeled A through D, are true statements?

A: Statement B is false, but statement C is true.

B: Statement C is true, but statement D is false.

C: Statement D is false, and statement A is false.

D: Statement A is true, and statement B is true.

If a # b = a + 2b, for integers a and b, what is the value of 3 # 4?

The 25th day of the year 2003 fell on a Saturday. What day of the week did the 284th day of the year 2003 fall?

For what value of x is the equation x + 2x + 3x + ... + 99x + 100x = 100 true? Express your answer as a common fraction.

What is the value of x + y if the sequence 2, 6, 10, ..., x, y, 26 is an arithmetic sequence? 

When the sum 2007²⁰⁰⁸ + 2008²⁰⁰⁷ is simplified to an integer, what is the ones digit?

Bill buys wigits for $3, gigits for $8 and pigits for $11. If Bill bought exactly 100 aliens for $400, and he purchased as few gigits as possible, what is the ordered triple (wigits, gigits, pigits) that represents his purchase? 

What are the coordinates of the first-quadrant point that lies on the graph of 7x + 13y = 99 and has coordinates that are both integers? Express your answer as an ordered pair (x, y). 

What is the smallest positive integer value of n such that 2ⁿ + 5ⁿ + 7ⁿ  is a multiple of 17?

What is the smallest positive integer that has a remainder of 7 when divided by 8, a remainder of 8 when divided by 9 and a remainder of 11 when divided by 12?

The base-8 number 1342₈ is equivalent to what base-10 integer? 

Using exponents when prime factors are used more than once, what is the prime factorization of 504?

Many numbers can be made by adding two or more consecutive terms of the arithmetic sequence 2, 5, 8, 11, … . Two such examples are 7 = 2 + 5 and 24 = 5 + 8 + 11. What is the smallest number that can be made in at least two different ways by adding consecutive terms of this sequence? 

If the sum of the interior angles of a particular convex polygon is 9720˚, how many sides does the polygon have?

What is the value of (1 + 2 + 3) + (2 + 3 + 4) + (3 + 4 + 5) + … + (38 + 39 + 40) + (39 + 40 + 41)? 

On a 100-point test only three students had scores of 90 or above, and those scores were 97, 94 and 91. Exactly one student had a score of 59 and that was the lowest score. No score occurred more than two times. At least how many students must have had scores of 70 or above if the total of all the scores was 2431?