Forward Grade 6 Ratios & Proportional Relationships. Practice it free.

Understands and uses ratio reasoning to solve problems about quantities and relationships. This Grade 6 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 68 mapped skills
What the test measures

Ratios & Proportional Relationships skills

  1. Understand ratio concepts and use ratio language to describe a ratio relationship between two quantities

  2. Understand the concept of a unit rate associated with a ratio a:b with b not equal to 0

  3. Use ratio and rate reasoning to solve real-world and mathematical problems

  4. Find a percent of a quantity as a rate per 100

  5. Solve unit-rate and percent problems including tax, markups, discounts, and simple interest

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Practice by skill

Topics mapped to this domain

Custom unit conversions

Grade 610 questions

Fraction-decimal-percent conversion

Grade 6180 questions

Percent of a quantity

Grade 610 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions

Two-step unit conversions

Grade 610 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A package of nuts weighs 112112 ounces. What is the weight in pounds? (11 pound =16= 16 ounces)

Use a conversion factor with pounds in the numerator so ounces cancel: 112 oz×1 lb16 oz=7 lb112 \text{ oz} \times \dfrac{1 \text{ lb}}{16 \text{ oz}} = 7 \text{ lb}.

Practice playeasy

Write 0.360.36 as a percent.

Multiply by 100: 0.36×100=36%0.36 \times 100 = 36\%.

Practice playeasy

There are 250250 students in sixth grade. On Friday, 20%20\% of the students went on a field trip. How many students went on the field trip?

Convert 20%20\% to a decimal and multiply: 0.20×250=500.20 \times 250 = 50 students.

Practice playeasy

What is 25%25\% of 7070?

Convert: 25%=0.2525\% = 0.25. Then 0.25×70=17.50.25 \times 70 = 17.5.

Practice playeasy

A student answered 5151 out of 6060 questions correctly on a quiz. What percent of the questions did the student answer correctly?

5160=0.85=85%\dfrac{51}{60} = 0.85 = 85\%.

Practice playeasy

Find the simple interest on $100\text{\char36}100 at 20%20\% per year for 11 year.

I=100×0.2×1=$20I = 100 \times 0.2 \times 1 = \$20.

Practice playmedium

A school sold tickets to two events. What is the ratio of gala revenue to fair revenue in simplest form?
EventTickets availablePrice eachPercent soldGala100$4080%Fair200$1560%\begin{array}{l|c|c|c} \text{Event} & \text{Tickets available} & \text{Price each} & \text{Percent sold} \\ \hline \text{Gala} & 100 & \text{\char36}40 & 80\% \\ \text{Fair} & 200 & \text{\char36}15 & 60\% \end{array}

Gala tickets sold: 100⋅0.80=80100 \cdot 0.80 = 80, so revenue is 80⋅40=3,200.80 \cdot 40 = 3{,}200\textsf{.} Fair tickets sold: 200⋅0.60=120200 \cdot 0.60 = 120, so revenue is 120⋅15=1,800.120 \cdot 15 = 1{,}800\textsf{.} The ratio 3,200:1,8003{,}200:1{,}800 simplifies by dividing by 200200 to 16:9.16:9\textsf{.}

Practice playeasy

A battery test lasts 77 hours. How many seconds is that? (11 hour =60= 60 minutes and 11 minute =60= 60 seconds)

Convert hours to minutes, then minutes to seconds: 7 hr×60 min1 hr×60 s1 min=25,200 s7 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} \times \dfrac{60 \text{ s}}{1 \text{ min}} = 25{,}200 \text{ s}.

Keep practicing

Turn ratios & proportional relationships into game time.

The Forward placement starts with this test's real coverage map and finds the right difficulty.

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.RP.A.36.RP.A.3.C7.RP.A.3
Ratios & Proportional Relationships in other Forward grades
Grade 7
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All Forward prepOfficial test source
Reporting categories

More Grade 6 domains

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