Compare Unit Rates: Consumer Math Quiz

Authored by Vincent Sepe

Mathematics

6th Grade

CCSS covered

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Miranda is buying yarn so she can crochet scarves for her family. She likes the Fluffy Fibers brand best. At the store, she finds a 7-ounce roll of Fluffy Fibers yarn for $8.33 and a 16-ounce roll for $18.72. Which size roll is the better value?

7-ounce

16-ounce

Answer explanation

$\frac{8.33}{7}=\text{}$ $1.19/ounce
$\frac{18.72}{16}=$ $1.17/ounce
The 16 ounce roll is 2 cents cheaper per ounce.
Did you get that?!

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540.
Which school offers the better deal?

Make Music

Play Piano

Answer explanation

$\frac{525}{10}=$ $52.5/hour
$\frac{540}{12}=$ $45/hour
That's a difference of $7.50 per hour!

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?

Ben

Corinne

Answer explanation

Ben: $\frac{20}{25}=1.25$ bags/minute
Corinne: $\frac{27}{24}=\ 1.125\$ bags/minute
Since Ben's number is larger, he packs slightly more bags per minute than Corinne.

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows 5 acres in 8 hours. Crew B mows 4.5 acres in 6 hours. Which crew is faster?

Crew A

Crew B

Answer explanation

Crew A:
$\frac{5}{8}=$ 0.625 acres/hour
Crew B:
$\frac{4.5}{6}=$ 0.75 acres/hour
Crew B mows faster. They should do the math and ask for a raise!

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

Rick

Liz

Answer explanation

Liz: $\frac{18}{6}=$ 3 lemons per min
Rick: $\frac{24}{12}=$ 2 lemons per min
Liz squeezes more lemons per minute.
I hope this was a refreshingly easy question!

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10 minutes. On her way home, she took a different route through a park, and rode 3 miles in 15 minutes. On which route did Debbie ride at a faster pace?

going to school

going home

Answer explanation

Going to school:
$\frac{1.5}{10}=$ 0.15 miles/minute
Coming home:
$\frac{3}{15}=$ 0.2 miles/minute
She rode a little faster on the way home.
Makes you wonder what she's running from...

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Ryan is buying batteries for his remote control cars. Charge Zone batteries cost
$15.80 for 20 batteries. Electrocell batteries cost $8.10 for 10 batteries. If both brands of batteries last equally long, which brand is the better value?

Charge Zone

Electrocell

Answer explanation

Charge Zone:
$\frac{\text{15.80}}{20}=$ $0.79/battery
Electrocell:
$\frac{8.10}{8}=$ $0.81/battery
Charge Zone batteries are 2 cents cheaper per battery. That could add up if you're buying a lot of batteries!

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Franco is at the state fair with some friends. He is deciding between buying a jumbo pack of 50 ride tickets for $45 or a medium pack of 30 ride tickets for $28.50.
Which pack is the better deal?

jumbo pack

medium pack

Answer explanation

Jumbo pack:
$\frac{45}{50}=$ $0.90 per ride
Medium pack:
$\frac{28.50}{30}=$ $0.95 per ride
The jumbo pack is 5 cents cheaper per ride.

Tags

CCSS.6.RP.A.3B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?

Jason

Seth

Answer explanation

Jason:
$\frac{160}{50}=$ 3.2 sq. ft./min.
Seth:
$\frac{120}{30}=$ 4 sq. ft./min.
Seth paints 0.8 sq. ft./min. faster than Jason.

Tags

CCSS.6.RP.A.3B

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?

Peak Point

Grand Mountain

Answer explanation

Peak Point:
$\frac{275.60}{5}=$ $55.12/day
Grand Mountain:
$\frac{174.75}{3}=$ $58.25/day
Peak Point costs less per day, so it is the better value.

Tags

CCSS.6.RP.A.3B

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Compare Unit Rates: Consumer Math

Miranda is buying yarn so she can crochet scarves for her family. She likes the Fluffy Fibers brand best. At the store, she finds a 7-ounce roll of Fluffy Fibers yarn for $8.33 and a 16-ounce roll for $18.72. Which size roll is the better value?

8.337=\frac{8.33}{7}=\text{}78.33​= $1.19/ounce 18.7216=\frac{18.72}{16}=1618.72​= $1.17/ounceThe 16 ounce roll is 2 cents cheaper per ounce.Did you get that?!

Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540. Which school offers the better deal?

52510=\frac{525}{10}=10525​= $52.5/hour 54012=\frac{540}{12}=12540​= $45/hourThat's a difference of $7.50 per hour!

Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?

Ben: 2025=1.25\frac{20}{25}=1.252520​=1.25 bags/minuteCorinne: 2724= 1.125 \frac{27}{24}=\ 1.125\ 2427​= 1.125 bags/minuteSince Ben's number is larger, he packs slightly more bags per minute than Corinne.

Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows 5 acres in 8 hours. Crew B mows 4.5 acres in 6 hours. Which crew is faster?

Crew A: 58=\frac{5}{8}=85​= 0.625 acres/hourCrew B: 4.56=\frac{4.5}{6}=64.5​= 0.75 acres/hourCrew B mows faster. They should do the math and ask for a raise!

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

Liz: 186=\frac{18}{6}=618​= 3 lemons per minRick: 2412=\frac{24}{12}=1224​= 2 lemons per minLiz squeezes more lemons per minute.I hope this was a refreshingly easy question!

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10 minutes. On her way home, she took a different route through a park, and rode 3 miles in 15 minutes. On which route did Debbie ride at a faster pace?

Going to school: 1.510=\frac{1.5}{10}=101.5​= 0.15 miles/minuteComing home: 315=\frac{3}{15}=153​= 0.2 miles/minuteShe rode a little faster on the way home.Makes you wonder what she's running from...

Ryan is buying batteries for his remote control cars. Charge Zone batteries cost $15.80 for 20 batteries. Electrocell batteries cost $8.10 for 10 batteries. If both brands of batteries last equally long, which brand is the better value?

Charge Zone: 15.8020=\frac{\text{15.80}}{20}=2015.80​= $0.79/batteryElectrocell: 8.108=\frac{8.10}{8}=88.10​= $0.81/batteryCharge Zone batteries are 2 cents cheaper per battery. That could add up if you're buying a lot of batteries!

Franco is at the state fair with some friends. He is deciding between buying a jumbo pack of 50 ride tickets for $45 or a medium pack of 30 ride tickets for $28.50. Which pack is the better deal?

Jumbo pack: 4550=\frac{45}{50}=5045​= $0.90 per ride Medium pack: 28.5030=\frac{28.50}{30}=3028.50​= $0.95 per rideThe jumbo pack is 5 cents cheaper per ride.

Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?

Jason: 16050=\frac{160}{50}=50160​= 3.2 sq. ft./min.Seth: 12030=\frac{120}{30}=30120​= 4 sq. ft./min.Seth paints 0.8 sq. ft./min. faster than Jason.

Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?

Peak Point: 275.605=\frac{275.60}{5}=5275.60​= $55.12/dayGrand Mountain: 174.753=\frac{174.75}{3}=3174.75​= $58.25/dayPeak Point costs less per day, so it is the better value.

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$\frac{8.33}{7}=\text{}$ $1.19/ounce
$\frac{18.72}{16}=$ $1.17/ounce
The 16 ounce roll is 2 cents cheaper per ounce.
Did you get that?!

Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540.
Which school offers the better deal?

$\frac{525}{10}=$ $52.5/hour
$\frac{540}{12}=$ $45/hour
That's a difference of $7.50 per hour!

Ben: $\frac{20}{25}=1.25$ bags/minute
Corinne: $\frac{27}{24}=\ 1.125\$ bags/minute
Since Ben's number is larger, he packs slightly more bags per minute than Corinne.

Crew A:
$\frac{5}{8}=$ 0.625 acres/hour
Crew B:
$\frac{4.5}{6}=$ 0.75 acres/hour
Crew B mows faster. They should do the math and ask for a raise!

Liz: $\frac{18}{6}=$ 3 lemons per min
Rick: $\frac{24}{12}=$ 2 lemons per min
Liz squeezes more lemons per minute.
I hope this was a refreshingly easy question!

Going to school:
$\frac{1.5}{10}=$ 0.15 miles/minute
Coming home:
$\frac{3}{15}=$ 0.2 miles/minute
She rode a little faster on the way home.
Makes you wonder what she's running from...

Ryan is buying batteries for his remote control cars. Charge Zone batteries cost
$15.80 for 20 batteries. Electrocell batteries cost $8.10 for 10 batteries. If both brands of batteries last equally long, which brand is the better value?

Charge Zone:
$\frac{\text{15.80}}{20}=$ $0.79/battery
Electrocell:
$\frac{8.10}{8}=$ $0.81/battery
Charge Zone batteries are 2 cents cheaper per battery. That could add up if you're buying a lot of batteries!

Franco is at the state fair with some friends. He is deciding between buying a jumbo pack of 50 ride tickets for $45 or a medium pack of 30 ride tickets for $28.50.
Which pack is the better deal?

Jumbo pack:
$\frac{45}{50}=$ $0.90 per ride
Medium pack:
$\frac{28.50}{30}=$ $0.95 per ride
The jumbo pack is 5 cents cheaper per ride.

Jason:
$\frac{160}{50}=$ 3.2 sq. ft./min.
Seth:
$\frac{120}{30}=$ 4 sq. ft./min.
Seth paints 0.8 sq. ft./min. faster than Jason.

Peak Point:
$\frac{275.60}{5}=$ $55.12/day
Grand Mountain:
$\frac{174.75}{3}=$ $58.25/day
Peak Point costs less per day, so it is the better value.