6th Grade Math: Ratio

Ratios

100

In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes.

What is 2/5 or 4/10

200

Lil blew up 7 balloons. Kathy blew up 5 balloons. What is the ratio of total balloons to Kathy's balloons?

12 to 5

300

The recipe calls for 2 eggs, 8 cups of flour, 3 teaspoons of oil, and a pinch of salt. What is the ratio of cups of flour to eggs?

8:2 OR 4:1

400

There are 10 rabbits in a cage. The ratio of white rabbits to grey rabbits is 3:7. How many white rabbits are in the cage?

3 white rabbits

500

There are 5 mice in a cage. The ratio of pink mice to black mice is 2:3. How many black mice are in the cage?

3 mice

Order of Operations

100

7 + (6 × 5 + 3)

40

200

18 ÷ (20 - 2² × 3)

1

300

2^{3 +} 6² x ( 14  ÷ 2)

33

400

 4² + 8 - 2

___________

       2

11

500

 (7² - 2 + 3 ) × 8² - 12

3188

Equivalent Ratios

100

5 shovels of sand are mixed with 4 shovels of gravel to make cement. What is the number of shovels of gravel needed for 45 shovels of sand.

36 shovels of gravel

200

Ari can walk 2 miles in 40 min. What is the amount of time it will take him to walk 4 miles.

80 min.

300

Paul used 6 black tiles and 12 white tiles for a pattern. What is the ratio of black tiles to white tiles?

1:2 or 6:12

400

30 buses can carry 1500 people. What is the number of people that can be carried by 5 buses.

250 people

500

Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates that 8 trucks can carry.

320 crates

Distributive Property

100

Evaluate using the distributive property: 

8 ( 6 + 4)

80

200

Evaluate using the distributive property: 

5 ( 2m + 4m)

30m

300

Evaluate using the distributive property: 

4 ( x - 7) 

4x - 28

400

Evaluate using the distributive property: 

8 ( 6x + 4h)

48x + 32h

500

Evaluate using the distributive property: 

4(5y + 3f)

20y + 12f

fractions and decimals

100

4.5 + 1.2 

5.7

200

2/4 x 5 

10/ 20 = 1/2

300

1.04 x .6

.624

400

6.8 x 2

13.6

500

14.6 divided by 2

7.3