Unit Rates
Equivalent Ratios
Tricky Tape Diagrams
Basic Ratios
N.S. Review (closed calculator)
100

An American M1 Abrams Tank drove 54 miles using 9 gallons of gas. What is it's miles per gallon?

What is 6 miles per gallon? Or What is 6mpg?

100

Which of the following ratios is equivalent to 3:4

  • 21/48
  • 27/40
  • 18/12
  • 18/24


What is 18/24?

100

A TV show has 7 minutes of show for every 3 minutes of commercials. If you watched 35 minutes of show, how many minutes of commercials would you watch?

What are 15 minutes of commercials?

100

If I do 12 push-ups and 30 sit ups what is the value of the ratio of sit-ups to push ups? (Value of the ratio means write it as a fraction and simplify it)

What is 5/2?

100

  12.073
+1.2563

What is 13.3293 ?

200

McDonald's charges $1.89 for a large fry. It comes with 86 French fries. How much would each fry cost? Round your answer to the nearest hundredth.

What is $0.02 per fry?   or $0.02/fry

200

Malia is shopping for perfume at the store. She really wants the special Taylor Swift dreams do come tru perfume. It comes in 2 sizes, the 12 ounce bottle is $15.00, and the 18 ounce bottle is $23.40. If she wants to buy the cheapest per ounce bottle which should she go with? What are the unit rates for both?

What is the 12 ounce bottle?

Unit price
12 ounce= $1.25/oz
18 ounce= $1.30/oz

200

For every 5 people who order a salad, there are 8 who order fries at a restaurant. If there were 156 TOTAL people who came to the restaurant for dinner, how many ordered fries?

What are 96 people?

200

At the store I buy 12 oranges, 6 apples, 8 strawberries, and 2 tomatoes. What is the ratio of oranges to fruit. (Since I didn't say the value of the ratio don't simplify)

Bonus: What is the value of the ratio?

What is 12:28 ?

The value of the ratio would be (3/7)

200

   14.85
 *158.2


* means multiply


What is 2,349.27  ?

300

Which animal has a slower heart rate and what is its beats per minute? A blue whale who's heart beats 96 times in 12 minutes. Or a Bear in hibernation who's heart beats 196 times in 14 minutes?

What is the blue whale? Its heart rate is 8 beats per minute.


(A bear in hibernation has a heart rate of 14bpm)


300

Gorilla strength is estimated to be about 10 times their body weight. Fully grown silver backs (male Gorillas) can lift 4,000 lbs (1,810 kg) on a bench press, while a well-trained man can only lift up to 885 lb (401.5 kg.)

What is the unit rate  comparing 1 silver back gorilla to highly trained men?  Round your answer to the nearest tenth.


What is 4.5 men for 1 silver back.

300

At a 6th grade valentines dance they play 3 minutes of slow songs for every 5 minutes of fast songs. If the dance played 28.5 more minutes of fast songs, how long was the entire dance?

What is 114 minutes? OR what is 1.6 hours?

300

Solve this problem for the x (just imagine it is blank)

x/20=24/60

What is 8?


300

4/5  รท  9/15

Simplify your answer.

What is 4/3 ?

400

Mr. Bell is having to pick between two chocolate bars. The first bar is $3.50 and has 12 ounces, while the second is $2.94 and has 10.5 ounces. Which should he choose and what is the unit rate for both?

What is the second bar?  The first bar costs $0.29/ounce, while the second bar costs $0.28/ounce.

400

Matthew knows that grades are due this Friday, he needs to maintain his scores in order to stay at a 4.

Right now he has a an average of 9/10 questions correct. If the next math test has 64 questions what is the fewest number of questions he must get correct for him to maintain his ratio? (His score must be equivalent to 9/10)

He would have to get 58 questions correct.

(He can't get 57.6 questions. So we round up)

400

At a vets office they see 10 dogs for every 16 cats. If on a Tuesday they saw 81 more cats than dogs, how many dogs did they see that day?

What is 135 dogs?

400

Solve this problem for the x (just imagine it is blank)

16.5/20=x/15

What is 12.375 ? or what is 12 and 3/8 ?

400

After his wild weekend party Mr. Groseclose had 3 and 1/2 pizzas left over in his fridge. If he shared what he had with all the 5 6th grade teachers how much would each of them get?

What is 7/10 of a pizza?

500

My car was able to go 78 miles using 4 gallons of gas. If the nearest gas station is 320 miles away and I have 16.25 gallons of gas how far will I have to push my car in order to get to the station?

What is 3.125 miles?

500

Aubrey is able to complete 200-meter sprint in 26.5 seconds, how long would it take her to complete a 450 meter sprint if her speed was the same?

What is 59.625  seconds or what is 59 and 5/8 seconds?

500

4 out of every 11 students said that math is their favorite subject. If there were 84 more students who chose another subject as there favorite how many total students were surveyed?  

What is 132 students?

500

Solve this problem for the x (just imagine it is blank)

12.5/16.25=50/x

What is 65?

500

The 6th graders are running a race, with a drink station in the middle. Put the following racers on a labeled number line, have before the checkpoint as negative and after the checkpoint as positive. Then list them from last to first place.
Kaden 2/5 miles before the checkpoint.
Jax .3 miles before.
Journey 0.5 miles before
Eric 1/2 miles past
Ms. Etie 2/10 miles past

What is: Journey, Jax, Kaden, Etie, Eric

The numberline should count by 10ths, or .1's