Lesson Worksheet: Comparing Ratios Mathematics • 6th Grade

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In this worksheet, we will practice comparing ratios.

Q1:

Scarlett uses 2 tablespoons of sugar for every 3 glasses of lemonade, while Natalie uses 3 tablespoons of sugar for every 6 glasses of lemonade. Who makes the sweeter lemonade?

AScarlett
BNatalie

Q2:

Plane A flew 225 miles in 2 hours, while plane B flew 300 miles in 3 hours. Which plane had the faster rate (miles per hour)?

Aplane A
Bplane B

Q3:

A restaurant has two offers. In the first offer, you can buy 3 pizzas for $75. In the second offer, you can buy 5 pizzas for $117.50. Which is the better offer?

AThe second offer
BThe first offer

Q4:

The table shows the distances and travel times for three different flights departing from an airport.

Flight	Destination	Distance (km)	Time (h)
1	A	1,590	2.5
2	B	2,049	3
3	C	2,243	3.25

Which flight had the highest average speed?

AFlight 3
BFlight 1
CFlight 2

Q5:

Determine whether the following ratios are equivalent: 126 trucks to 42 cars and 252 trucks to 84 cars.

ANo
BYes

Q6:

Michael wants to sign up for his school’s sports competition. In order to be accepted, he has to be able to run 400 meters in 1 minute. Michael took 20 seconds to run 100 meters. If he could run at the same rate, would he qualify to take part?

ANo
BYes

Q7:

Mason, Liam, and James are biking. Mason can bike 2 miles in 20 minutes, Liam can bike 3 miles in 25 minutes, and James can bike 6 miles in 66 minutes. Who cycles at the fastest rate?

AJames
BLiam
CMason

Q8:

Daniel is selling tickets for a charity football game. The table shows the number of tickets purchased and the total price paid for three different people.

Person	Tickets Purchased	Total Price in Dollars
A	2	127
B	4	247
C	6	326

Which person paid the lowest price per ticket?

Q9:

Which baker offers the better deal when buying 4 cupcakes?

First Baker	$5.40 for 3 cupcakes “Buy three and get one half price”
Second Baker	$5.95 for 4 cupcakes

Athe first baker
Bthe second baker

Q10:

You want to put together a quiz team for a competition. During a practice session, Scarlett answers 23 out of 24 questions correctly and Liam gets 12 questions correct out of 21. Who would you recommend to join the quiz team?

ALiam
BScarlett

This lesson includes 6 additional questions and 35 additional question variations for subscribers.

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