Math Olympics (Round 1)

1. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?

• 3:9

• 5 to 3

• 1 to 3

• 3:5

Amanda has a board that is 7 feet long. How many  $\frac{1}{4}$  foot sections can she cut from this board? 

• 28 sections

• 11 sections 

• 1 $\frac{3}{4}$  

•  $\frac{4}{7}$  

The area of a rectangle is  $\frac{5}{8}$  square foot. The width of the rectangle is  $2\frac{1}{2}$  feet. What is the length of the rectangle?  (Formula- Area= Length x Width)

•  $\frac{25}{16}$  feet

•  $\frac{24}{5}$  feet 

•  $\frac{1}{4}$  foot 

• 4 feet 

How much money did Elijah have the first month?

• $45

• $25

• $10

• $50

Which expressions equal 32? Choose all that apply.

• $2^5$

• $\frac{4^3}{2}^{ }$

• $2^{3\ }\cdot\ 2\ +\ 2$

• $5^{3\ }\cdot\ 3\ -\ \left(8\ \cdot\ 5\right)$

• $\frac{\left(4+5\right)^{2\ \ }-17\ }{2}$

Simplify

 $\left(3^2\right)^5$  

•  $6,561$  

•  $45$  

•  $59,049$  

•  $30$  

In which situation do the quantities combine to make 0?

• A football team lost 6 yards on one play and gained 3 yards on the next play.

• The temperature at 5am was $-5\degree\ F$ . Over the next 4 hours, the temperature increased by $5\degree F$ .

• A car wash earns $7 per car washed and spends $7 per truck washed. On Friday, they washed 10 cars and 5 trucks.

• Manuel deposited $75 into his savings account on Monday. The next week he deposited $75 into his checking account.

David interested in purchasing a pair of sneakers for $150 at Foot Locker. Foot Locker has a 25% off on sneakers. How much will the sneakers cost David?

• $125

• $37.50

• $112.50

• $30.00

A tank contains 2,450 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below.

–1,654 +754 –517

How many gallons of fuel are in the tank at the end of the three days?

• 62

• -475

• 728

• 1,033

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

• 5/4, 56%, 1.07, 4/5
• 1.07, 4/5, 5/4, 56%
• 56%, 1.07, 4/5, 5/4
• 56%, 4/5, 1.07, 5/4