1. When a water tank is 30% full, it contains 27 gallons less than when it is 20% empty. How many gallons of water does the tank hold when it is full?
2. Stan drove 300 miles in 5 hours, 20 minutes. Next, he drove 360 miles in 6 hours, 40 minutes. What was Stan’s average speed in miles per hour for the total trip?
3. What is the difference between the 2000th term and the 2005th term of the arithmetic sequence −8, −2, 4, 10, ... ? An arithmetic sequence is found by adding the same amount over and over to find each term. For example, in the sequence 1, 3, 5, 7, 8… the amount being added is two. You can use this to find numbers in the sequence.
4. In the game “Cover It Up” two standard six-faced dice are rolled and their sum determined. The player can then cover that number on the game board or any two numbers that have that sum. For example, if you roll a 3 and 5, you can cover the 8, the 1 and 7, the 2 and 6, or the 3 and 5. What is the probability of being able to cover the 9 on the first roll of the two dice? Express your answer as a common fraction.
5. A teacher has made eight statements for a True-False test. Three statements are true and five are false. How many distinct answer keys could there be for the test?
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