RP.3 Study Guide

Luna is organizing a community garden and has a certain number of strawberry plants, $ s $, that are in a certain number of boxes, $ n $. Based on the table, how many strawberry plants will be in 16 boxes?

• 120

• 144

• 189

• 234

Answer explanation

To find the number of strawberry plants in 16 boxes, we can use the ratio from the table. If 12 boxes contain 108 plants, then 16 boxes will have 144 plants, calculated as (108/12) * 16 = 144. Thus, the correct answer is 144.

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

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CCSS.6.RP.A.3

The figure below represents a rectangular path that Marie walks.

It takes Marie 3 minutes to walk the perimeter. At this rate, how many

meters will Marie walk in 10 minutes?

• 145 m

• 290 m

• 870 m

• 1541.7 m

Answer explanation

Marie walks the perimeter in 3 minutes. In 10 minutes, she walks (10/3) times the perimeter. If the perimeter is 87 m (290 m in 10 minutes), the correct answer is 290 m.

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CCSS.6.RP.A.2

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Ethan is constructing a table and needs to convert 5 feet into centimeters, knowing that 1 inch ≈ 2.5 centimeters. Can you assist him with the calculation?

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Answer explanation

To convert 5 feet to centimeters, first convert feet to inches: 5 feet = 60 inches (1 foot = 12 inches). Then, multiply by 2.5 cm/inch: 60 inches × 2.5 cm/inch = 150 cm. Thus, 5 feet is 150 centimeters.

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CCSS.6.RP.A.3

A car can travel 47 miles on two gallons of gas. About how many miles can the car go on 25 gallons of gas?

• 500

• 550

• 600

• 650

Answer explanation

The car travels 47 miles on 2 gallons, so it goes 23.5 miles per gallon. For 25 gallons, it can travel 25 x 23.5 = 587.5 miles. Rounding to the nearest hundred gives approximately 600 miles.

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Mr. Garfield is watering his garden. The garden is dry when he starts. He notices that after 15 minutes, the soil is wet to a depth of 3 inches. If he continues at the same rate, how deep will the soil be wet after an hour?

• 6 inches

• 12 inches

• 15 inches

• 24 inches

Answer explanation

Mr. Garfield waters the garden for 15 minutes, wetting 3 inches. In 60 minutes (4 times 15), the soil will be wet to a depth of 3 inches x 4 = 12 inches. Thus, the correct answer is 12 inches.

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CCSS.6.RP.A.2

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Priya is making a recipe that requires a constant ratio of sugar to flour. If she uses 10 cups of flour, what is the value of the missing number of cups of sugar?

• 15

• 20

• 25

• 30

Answer explanation

The ratio of sugar to flour is constant. If Priya uses 10 cups of flour and the correct amount of sugar is 25 cups, this maintains the ratio. Therefore, the missing number of cups of sugar is 25.

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Emma is riding a train that travels at a constant speed of 240 miles per hour. How far, in miles, will the train travel in 20 minutes?

Answer explanation

To find the distance traveled in 20 minutes, convert 20 minutes to hours: 20 minutes = 1/3 hour. Then, multiply the speed by time: 240 mph * 1/3 hour = 80 miles. The correct answer is 80 miles.

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William is planning a vacation and is comparing the cost of staying at a hotel for different numbers of nights. Which number of nights has the lowest price per night?

• 3 nights

• 4 nights

• 5 nights

• 6 nights

Answer explanation

To find the lowest price per night, divide the total cost by the number of nights. The calculations show that 5 nights offers the best rate compared to 3, 4, and 6 nights, making it the most economical choice.

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Elijah is monitoring the production line of a factory. The graph below shows the number of defective parts versus the number of parts produced by the company. At this rate, how many defective parts occurred if 360 units were produced?

• 270

• 180

• 90

• 15

Answer explanation

To find the number of defective parts when 360 units are produced, refer to the graph. It shows that for every 4 parts produced, 1 is defective. Thus, 360 / 4 = 90 defective parts.

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CCSS.6.SP.A.1

CCSS.6.SP.B.5

In a race, a small wheel completes 5 rotations for every 3 rotations of a large wheel. If the large wheel completes 15 rotations, how many rotations does the small wheel complete?

• 25

• 20

• 15

• 10

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CCSS.6.RP.A.1

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