MATHCOUNTS Test

1. 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?

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

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

3 times

6 times

5 times

4 times

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

3,588

4,648

2,487

3,215

5. 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?

6 integers

4 integers

8 integers

9 integers

Mathcounts Test