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LCM & GCF
Ratios
Unit Rate
Equivalent Ratios
Miscellaneous
100

The least common multiple of 12 & 9?

What is 36?

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 in simplest form?

What is 2/5

100

George read 126 pages of a book in 18 minutes. How many pages did he read in 1 minute?

7 pages per minute

100

A cookie recipe that yields 48 cookies calls for 2 cups of flour. A different cookie recipe that yields 60 cookies calls for 3 cups of flour. Are these rates equivalent? Explain your reasoning.

No; the unit rate for the first recipe is 24 cookies per 1 cup of flour, and the unit rate for the second recipe is 20 cookies per 1 cup of flour.

100
Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?
6 mi/hr
200

The greatest common factor of 24 & 28

What is 4?

200
Write a unit rate for this situation: 310 heartbeats per 5 minutes
62 heartbeats/minute
200

The science materials cost $65.70 to do the experiment. If 9 students participated in the experiment, what was the unit cost per student?

What is $7.30?

200

20 out of 45 students attended the concert; 12 out of 25 students attended the concert. Are the ratios equivalent?

No; 20/45 and 12/25 are not equivalent.

200
Ricky made $600 in two weeks. Find the unit rate.
$300/week
300

The greatest common factor of 40 & 26

What is 2?

300

The recipe calls for 2 eggs for every 8 cups of flour. How many eggs are needed with 40 cups of flour?

What is 10 eggs?

300

The toys cost $65.95 for 5 models. What is the unit rate for each model toy?

$13.19 per model toy

300

Jessica can do 60 jumping-jacks in 2 minutes. Dale can do 150 jumping jacks in 5 minutes. Are these rates equivalent? Explain your reasoning

Yes; the unit rate for each is 30 jumping jacks per minute

300
Apples sell 4 for $2.40. How much do 6 apples cost?
$3.60
400

The least common multiple of 27 & 45.

What is 135?

400

There are 28 grey rabbits in a cage with some white rabbits. The ratio of white rabbits to grey rabbits is 3:7. How many white rabbits are in the cage?

What is 12 white rabbits?

400
A factory can produce mousetraps at a rate of 1500 traps in 3 hours. What is the unit rate per hour?
500 traps per hour
400

At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates equivalent? Explain your reasoning.

Yes; they simplify to 1 book for $2

400
Rose spent $2.00 for 20 pieces of gum. Joe spent $1.50 for 10 pieces of gum. Who got the better deal and why?
Rose got the better deal. She got one piece for $0.10 and Joe spent $0.15 for one piece.
500

The greatest common factor of 72 & 112

What is 8?

500

There are 30 pink mice in a cage with some black mice. The ratio of pink mice to black mice is 2:3. How many black mice are in the cage?

What is 45 mice?

500
Hillary earned $45 babysitting. If she babysat for 6 hours, what was her rate per hour?
$7.50 per hour
500

On the Smith's vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning. 

Yes; the unit rate for each is 60 mi per hour.

500
Larry can type 225 words in 3 minutes. How many words can he type in 10 minutes?
750 words