Basics of Ratios
Equivalency
Proportions
Problem Solving
Advanced Ratios
100

Express the ratio of 2 apples to 3 oranges.

Express the ratio of 2 apples to 3 oranges.

100

$100: What is the equivalent ratio of 3:4?

What is 6:8?


100

$100: If the proportion is 3:4 = 6:x, find x.

What is 8?


100

$100: If there are 20 marbles in a bag and 5 of them are red, what is the ratio of red marbles to total marbles?

What is 1:4?


100

$100: What is the reciprocal of the ratio 3:5?

What is 5:3?


200

$200: Express the ratio 4:1 as a fraction.

$200: Express the ratio 4:1 as a fraction.

200

$200: If 2:5 is equivalent to x:15, then what is the value of x?

What is 6?


200

$200: In the proportion a:b = 5:10, what is b if a = 2?

What is 4?


200

$200: A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 9 cups of sugar?

What is 6 cups?


200

$200: When 9:12 is simplified, what fraction does it become?

What is 3/4?


300

$300: Simplify the ratio 6:9.

What is 2:3?


300

$300: Identify an equivalent ratio to 9/12.

What is 3/4?


300

$300: Solve the proportion 4:9 = x:18.

What is 8?


300

$300: If a train travels 60 miles in 1 hour, how far will it travel in 3 hours?

What is 180 miles?


300

$300: If the ratio of cats to dogs is 2:3 and there are 6 cats, how many dogs are there?

What is 9 dogs?


400

$400: What is the ratio of 10 to 15 as a decimal?

$400: What is the ratio of 10 to 15 as a decimal?

400

$400: Find an equivalent ratio to 8:10 using multiplication.

What is 16:20?


400

$400: Calculate x in the proportion 7:x = 14:28.

What is 14?


400

$400: In a classroom, the ratio of boys to girls is 4:5. If there are 20 boys, how many girls are there?

What is 25 girls?


400

$400: Convert the fraction 5/8 into a ratio.

What is 5:8?


500

$500: In the ratio 15:45, what is the greatest common factor used to simplify it?


What is 15?



500

$500: In the ratios 15:20 and 18:24, what multiplication factor can be used to verify their equivalence?


What is 6/5?



500

$500: In the proportion 10:x = 25:50, solve for x.


What is 20?



500

$500: A map scale shows 1 cm:5 km. How many kilometers are represented by 8 cm on the map?


What is 40 kilometers?



500

$500: If a ratio is expressed as 7:21, what is this as a percentage?


What is 33.3%?



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