MA.7.AR.3.3 · Proportional Reasoning and Relationships

Converting Units Across Measurement Systems: Sample FAST Questions

Students convert units across different measurement systems, covering length, area, weight, mass, volume, and money. Sixth grade kept conversions inside a single system; seventh graders move between customary and metric units using a conversion factor supplied by the problem or the reference sheet.

How the FAST tests this benchmark

The FAST gives the conversion factor in the item or on the grade-7 reference sheet and asks for the converted value through the equation editor. The trap is multiplying where the situation calls for dividing, which students catch by asking first whether the answer should be a larger or a smaller number.

Skills students need

Convert length, weight, and volume between customary and metric units
Use a given conversion factor as a ratio
Predict whether a conversion makes the number larger or smaller
Convert money and area units within real-world problems

Try 6 real MA.7.AR.3.3 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice

A road race is 10 kilometers long. Using the conversion

1 \text{ mile} \approx 1.6 \text{ km}

, how long is the race in miles?

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Question 6HardMatching

Match each speed to its equivalent. Use

1 \text{ km} \approx 0.6214 \text{ mi}

1 \text{ mi} \approx 1.6 \text{ km}

1 \text{ km} = 1{,}000 \text{ m}

, and

1 \text{ h} = 3{,}600 \text{ s}

Pick one match in each row, then check.

	about 48 km/h	72 km/h	about 24.9 mi/h	5 m/s
40 km/h
30 mi/h
18 km/h
20 m/s

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More 7th grade proportional reasoning benchmarks

MA.7.AR.4.1

Deciding Whether a Relationship Is Proportional

MA.7.AR.4.2

Finding the Constant of Proportionality

MA.7.AR.4.3

Graphing Proportional Relationships