MathCounts, FCMO Practice

Express the prime factorization for the year 2020 

• 5 x 404
• 5² x 2⁵ x 101
• 2² x 5 x 101
• 3 x 4 x 2⁵ x 51

What is the measurement of the angle formed by the hands on the clock at 2:30?

• 102⁰
• 96⁰
• 115⁰
• 98⁰

What is the reflex angle formed by the hands on the clock at 2:30?

• 230⁰
• 115⁰
• 95⁰
• 258⁰

How many positive two-digit integers have an odd number of positive factors?

• 2
• 4
• 6
• 8

What is the greatest prime factor of 99?

• 3
• 13
• 11
• 31

What is the value of 8(2)-3!+5?

• 10
• 15
• 13
• 12

What is 11 1/9% of 90?

• 9
• 8
• 12
• 10

If 3x + 8 = 5 x - 6, what is the value of 10x?

• 1
• 30
• 70
• 100

Two sides of an isosceles triangle are 10 inches and 20 inches.  If the shortest side of a similar triangle is 50 inches, what is the perimeter of the larger triangle?

• 250"
• 200"
• 150"
• 100"

How many prime integers are between 30 and 40?

• 1
• 2
• 3
• 4