Ratios
Equivalent Ratios
Double Number Lines & Tables
Unit Rates (Per 1)
Challenge Problems
100

In words, what does a ratio describe?

What is an association between two or more quantities?

100

If the ratio of juice to soda water is 3:2, then doubling both parts gives what equivalent ratio?

What is 6:4?

100

On a double number line, numbers that line up vertically represent what?

What are equivalent ratios?

100

A unit rate is an equivalent ratio expressed as “per ___.”

What is 1?

100

True or False: Every ratio has exactly two unit rates (depending on which quantity you make “per 1”).

What is true?

200

The diagram shows 6 cups of juice and 4 cups of soda water. Write the ratio of juice to soda water in “a:b” form.

What is 6:4?

200

Raffle tickets cost $6 for 5 tickets. How many tickets for $12?

What is 10 tickets?

200

Granola costs $5 for 4 lbs. What is the unit price per pound?

What is $1.25 per lb?

200

Andre bikes 25 miles in 2 hours. What is his speed in miles per hour?

What is 12.5 miles per hour?

200

A mix uses juice:soda water = 3:2. If the total drink is 25 cups, how many cups are soda water?

What is 10 cups?

300

Simplify the ratio 12:8 to an equivalent ratio in simplest form.

What is 3:2?

300

Raffle tickets cost $6 for 5 tickets. How many tickets for $90?

What is 75 tickets?

300

Using that same granola rate, what is the cost for 8 lbs?

What is $10?

300

Lin bikes 30 miles in 3 hours. What is her speed in miles per hour?

What is 10 miles per hour?

300

In a pond, ducks:swans = 4:5. If there are 63 birds total, how many are ducks?

What is 28 ducks?

400

A stall has 4 horses. Each horse has 4 legs, 1 tail, and 2 ears. Write the ratio of legs : tails : ears.

What is 16:4:8?

400

A recipe uses 4 eggs per 1 cup of milk. How many eggs are needed for 3 cups of milk?

What is 12 eggs?

400

Granola costs $5 for 4 lbs. Use the unit-rate method to find the cost for 62 lbs.

What is $77.50?

400

Andre bikes 25 miles in 2 hours.

Lin bikes 30 miles in 3 hours.

Who biked faster: Andre or Lin?

Who is Andre?

400

Tickets are $6 for 5. If you buy exactly 1 ticket, what is the price? (Exact value, not rounded.)

What is $1.20?

500

Using the same horses, fill in: “There are ___ legs for every ___ ear.” (Simplest whole-number ratio.)

What is 2 legs for every 1 ear?

500

The ratio of cranberry juice to soda water is 5:2. If you use 16 cups of soda water, how many cups of cranberry juice are needed?

What is 40 cups?

500

A table shows a constant ratio. If one row is (eggs, milk) = (4, 1) and another is (20, 5), what must (12, ___) be to stay equivalent?

What is 3?

500

Dry dog food costs 4 pounds for $16. Give BOTH unit rates: dollars per pound and pounds per dollar.

What is $4 per pound and 0.25 pounds per dollar?

500

Granola is $5 for 4 lbs. Another brand is $19.50 for 15 lbs. Which is the better deal, and by how much per pound?

What is the $19.50-for-15-lb brand, cheaper by $0.05 per lb? (Because $5/4=$1.25 per lb; $19.50/15=$1.30 per lb → actually granola at $1.25 is cheaper by $0.05 per lb.)