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NSCAS 6th Grade Math Olympics~Competition #3

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

What is the prime factorization of 96?

a)

2 x 32

b)

2 x 33

c)

22 x 32

d)

25 x 3

2.

Andy needs to solve 35÷38\frac{3}{5}\div\frac{3}{8} . To  solve, he multiplies  35×83\frac{3}{5}\times\frac{8}{3} . Will Andy’s method work?

a)

Yes

b)

No

3.

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?

a)

3n + 10

b)

10n + 3

c)

3 + n + 10

d)

3n - 10

4.

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

a)

Inverse Property

b)

Associative Property

c)

Distributive Property

d)

Commutative Property

5.

Bo's rope was 4 58\frac{5}{8}  ft. He cut a piece that was 2 ft long. Which equation shows how to find the length remaining?

a)

 r − 2 = 4 58r\ -\ 2\ =\ 4\ \frac{5}{8}  

b)

 4 58 ÷ 2 = r4\ \frac{5}{8}\ \div\ 2\ =\ r  

c)

 2 + r = 4 582\ +\ r\ =\ 4\ \frac{5}{8}  

d)

 2 − r = 4 582\ -\ r\ =\ 4\ \frac{5}{8}  

6.

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

a)
b)
c)
d)
7.

What is the ordered pair of Point D?

a)

(1, 2)

b)

(-1, -2)

c)

(-2, 1)

d)

(-2, -1)

8.

What is the area of the triangle?

a)

48 cm2

b)

96 cm2

c)

192 cm2

d)

256 cm2

9.

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

a)
b)
c)
d)
10.

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

a)

6 classrooms

b)

13 classrooms

c)

16 classrooms

d)

19 classrooms