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Representation and Comparison of Rational Numbers 6th grade created by Shawna Hyde from released staar questions 2016-2018 - Printable Mathematics Worksheets - Wayground

Representation and Comparison of Rational Numbers 6th grade created by Shawna Hyde from released staar questions 2016-2018

10 questions

6th - 6th Grade

Mathematics

Representation and Comparison of Rational Numbers is a free printable Grade 6 math worksheet with 10 multiple-choice questions based on released STAAR questions from 2016–2018. Students classify numbers in a Venn diagram or graphic organizer, check rational-number placements on a number line, identify values closest to a target, and compare and order integers, decimals, fractions, and percents. The worksheet uses real-world contexts, including temperatures, wire diameters, time spent on activities, and homework progress, to make comparison meaningful. Students must translate equivalent forms and order values from least to greatest or greatest to least, including negative numbers and mixed representations. A complete answer key is included, making this resource useful for Grade 6 instruction, independent practice, review, or assessment of rational-number representation and comparison.

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Representation and Comparison of Rational Numbers 6th grade created by Shawna Hyde from released staar questions 2016-2018

Total questions: 10

Name
Class
Date
1.

The Venn diagram shows the relationships among different sets of numbers.


Which number would be located in the shaded part of the diagram?

a)

-1.7

b)

-8

c)

⅔

d)

10

2.

Which graphic organizer correctly groups the following numbers?


3.4 -2 3 -1.2

a)
b)
c)
d)
3.

Jaden placed the following points on a number line.


  • Point P at -24/3
  • Point Q at -9/2
  • Point R at 7/2
  • Point S at 15/3


Which point is NOT correctly placed on this number line?

a)

Point P

b)

Point Q

c)

Point R

d)

Point S

4.

BrynzLea will correctly label the numbers 48.4, 48½, 48.09, and 48⅗ on the number line.


Which number will be located closest to 49?

a)

48.4

b)

48½

c)

48.09

d)

48⅗

5.

The table shows the portion of a day four students used to build a website.


Which list shows the students in order from the greatest amount of time used to the least amount of time used?

a)

Andrew, Blake, Jamail, Ernesto

b)

Blake, Andrew, Jamail, Ernesto

c)

Ernesto, Blake, Andrew, Jamail

d)

Andrew, Jamail, Ernesto, Blake

6.

Which list shows the numbers in order from least value to greatest value?

a)

-⅖ -2.47 -2½ 5 21/4

b)

-⅖ -2.47 -2½ 21/4 5

c)

-2½ -2.47 -⅖ 5 21/4

d)

-2½ -2.47 -⅖ 21/4 5

7.

Which list shows the temperatures in order from coldest to warmest in degrees Fahrenheit?

a)

-10°F 8°F -5°F 0°F

b)

-5°F -10°F 0°F 8°F

c)

-10°F -5°F 0°F 8°F

d)

0°F -5°F 8°F -10°F

8.

Ms. Reyes will use six different wires for a science project. The fractions represent the diameters of these wires in inches.


7/16, 1/2, 3/8, 9/32, 5/16, 15/32


Which list shows the diameters of the wires in order from least to greatest?

a)

1/2, 3/8, 7/16, 5/16, 15/32, 9/32

b)

9/32,15/32, 5/16, 7/16, 3/8, 1/2

c)

1/2, 3/8, 5/16, 7/16, 9/32,15/32

d)

9/32, 5/16, 3/8, 7/16, 15/32, 1/2

9.

The table shows the amount of time four students practiced the trumpet one day.


Which list shows the names of the students in order from the least amount of practice time to the greatest amount of practice time?

a)

Ryan, Jacob, Cole, Gus

b)

Cole, Jacob, Gus, Ryan

c)

Ryan, Gus, Jacob, Cole

d)

Gus, Ryan, Cole, Jacob

10.

Students in Ms. Hyde's class must complete at least 40 math problems for homework every week. The table shows the progress of four students on Wednesday.


Which list show the amounts of homework completed in order from greatest to least?

a)

0.4, 2/3, 45/40, 100%

b)

45/40, 100%, 2/3, 0.4

c)

0.4, 2/3, 100%, 45/40

d)

2/3, 0.4, 45/40, 100%

Answer Key

Representation and Comparison of Rational Numbers 6th grade created by Shawna Hyde from released staar questions 2016-2018

Total questions: 10

1.
b)

-8

2.
a)
3.
b)

Point Q

4.
d)

48⅗

5.
a)

Andrew, Blake, Jamail, Ernesto

6.
c)

-2½ -2.47 -⅖ 5 21/4

7.
c)

-10°F -5°F 0°F 8°F

8.
d)

9/32, 5/16, 3/8, 7/16, 15/32, 1/2

9.
c)

Ryan, Gus, Jacob, Cole

10.
b)

45/40, 100%, 2/3, 0.4

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FAQs

What does this Grade 6 worksheet cover about representing and comparing rational numbers?

This worksheet provides 10 multiple-choice questions on classifying, representing, comparing, and ordering rational numbers. Students interpret Venn diagrams and graphic organizers, verify number-line locations, and arrange integers, decimals, fractions, and percents in real-world contexts such as temperatures, wire diameters, time, and homework progress.

How can I use this worksheet to teach students to compare and order rational numbers?

Use the multiple-choice items after modeling how to place values on a number line and convert fractions, decimals, and percents to comparable forms. Have students explain why an option is ordered correctly, especially when comparing negative numbers or close values such as 48.4, 48½, 48.09, and 48⅗. Then use the context questions about temperatures, time, and wire diameters to connect symbolic comparisons to measurable quantities.

What mistakes should I watch for when students complete this rational-numbers worksheet?

Students may reverse the order of negative numbers, treating −2.5 as greater than −2.47 because 2.5 is larger. They may also compare numerators and denominators without finding equivalent values, misread fractions such as −24/3 and −9/2 when checking number-line points, or treat 100% and 45/40 as unrelated forms instead of comparing their values. Check that students distinguish least-to-greatest directions from greatest-to-least directions in the ordering questions.

How do I assign and grade this rational-numbers worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can print it for written practice or assign the digital version for online responses; printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this rational-numbers worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the multiple-choice options, fractions, and number-line prompts are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, while keeping the same rational-number comparison tasks.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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