NSCAS 6th Grade Math Olympics~Competition #3

What is the prime factorization of 96?

• 2 x 3²

• 2 x 3³

• 2² x 3²

• 2⁵ x 3

Andy needs to solve $\frac{3}{5}\div\frac{3}{8}$ . To  solve, he multiplies  $\frac{3}{5}\times\frac{8}{3}$ . Will Andy’s method work?

• Yes

• No

My mom is 3 times as old as I am now. If I am n years old now, which expression represents my mom's age 10 years ago?

• 3n + 10

• 10n + 3

• 3 + n + 10

• 3n - 10

Which property could be applied to make 13(x+6) equal to 13x + 78?

• Inverse Property

• Associative Property

• Distributive Property

• Commutative Property

Bo's rope was 4 $\frac{5}{8}$  ft. He cut a piece that was 2 ft long. Which equation shows how to find the length remaining?

•  $r\ -\ 2\ =\ 4\ \frac{5}{8}$  

•  $4\ \frac{5}{8}\ \div\ 2\ =\ r$  

•  $2\ +\ r\ =\ 4\ \frac{5}{8}$  

•  $2\ -\ r\ =\ 4\ \frac{5}{8}$  

If the cone shown below is cut and laid flat, which figure would it MOST closely resemble?

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What is the ordered pair of Point D?

• (1, 2)

• (-1, -2)

• (-2, 1)

• (-2, -1)

What is the area of the triangle?

• 48 cm²

• 96 cm²

• 192 cm²

• 256 cm²

The chart shows the number of servers that are needed at a restaurant. Which graph correctly shows this data?

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Use the line plot below to answer the question. How many classrooms have more than 19 students?

• 6 classrooms

• 13 classrooms

• 16 classrooms

• 19 classrooms