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Contestant Information
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Your (Hard to Guess) Secret Code.
Enter a number between 10000000 and 99999999. This is what we will use to keep others from using your Username.  Enter an 8 digit number between 10000000 and 99999999.  Using a number that DOES NOT CONTAIN AN OBVIOUS PATTERN OR REPEATING DIGITS will prevent others from guessing your secret code IF WE HAVE TO PUBLISH THE FIRST FEW DIGITS (see Help under Username). If you want to change your secret code, enter your new code here, and enter your Username and old Secret Code in the questions at the end. We will not publish your Secret Code.
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This is the Math Challengers grade level you are writing in.  Usually this is the grade you are attending in school, but not always.  Please see the Math Challengers Rules page for more information. At this time, Math Challengers only provides formal competitions for grades 8, 9, and 10, but everyone is welcome to participate in this Online Quiz.  We will publish your Grade Level.
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What is your Math Challengers Region?
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Did you work on this quiz as a team or individual?
Question Group 1
1.  A water tank is 1/8 full. When 15 gallons of water are added to the tank, the tank is 3/4 full. How many more gallons of water is needed to fill the tank?
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2. When  four fair, six sided dice are rolled there are 64  possible outcomes. In how many ways can the dice be rolled so that the sum of the numbers rolled is multiple of 10?
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3.  How many positive natural numbers  are less than or equal to 64 and relatively prime with 64?  Two numbers a and b are said to be relatively prime if their greatest common divisor is 1.
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4.  Using the digists 1,3,4,6 and 7, exactly once, create the largest odd number that is divisible by 3.
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5.  How many integers are between 101 and 1001 (including 101 and 1001) are divisible by 11?
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6.  The arithmetic mean of three numbers is 133. If the mean of the first two numbers is 126. What is the third number?
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7.  Find the remainder when 2^495 is divided by 11.
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8.  What is the greatest whole number that must be a factor of the sum of any four consecutive positive odd numbers?
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9.  Find the smallest positive integer that is divisible by 17, and when divided by any integers from 2 to 16 (both inclusive) leaves a remainder of 1.
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10.  Write the binary number 101010101010 in a decimal form.
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Summary Questions
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How much help did you get?
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How much did you like this online quiz?