Mathcounts Test

5 Questions | Attempts: 1201
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Math Quizzes & Trivia

It is not uncommon for one to forget the answers to something they know when they are given a deadline to answer the questions, mostly in a competition. Below are the sample problems from the Math counts 2009 Spirit Round school competition. Take them and see how well you will do in the upcoming competition and your chances of winning. Good luck!


Questions and Answers
  • 1. 

    How many times is the digit 3 written when writing the prime numbers less than 50?

    • A.

      3 times

    • B.

      6 times

    • C.

      5 times

    • D.

      4 times

    Correct Answer
    B. 6 times
  • 2. 

    Two numbers are said to be "relatively prime" if their greatest common factor is 1. How many integers greater than 10 and less than 30 are relatively prime with 28?

    • A.

      6 integers

    • B.

      4 integers

    • C.

      8 integers

    • D.

      9 integers

    Correct Answer
    D. 9 integers
  • 3. 

    What is the sum of the positive multiples of 13 that are less than 300?

    • A.

      3,588

    • B.

      4,648

    • C.

      2,487

    • D.

      3,215

    Correct Answer
    A. 3,588
  • 4. 

    What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 1 when divided by 3, and a remainder of 2 when divided by 5?

    • A.

      25

    • B.

      37

    • C.

      29

    • D.

      32

    Correct Answer
    B. 37
  • 5. 

    What is the units digit of the quotient when 10! is divided by 52?

    • A.

      3

    • B.

      10

    • C.

      5

    • D.

      2

    Correct Answer
    D. 2

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 18, 2022
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 15, 2008
    Quiz Created by
    Cmsegal
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