NH SAS Grade 7 Ratios and Proportional Relationships. Practice it free.

Extends proportional reasoning to solve percent, unit rate, and scale problems. This Grade 7 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grade 711 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Compute unit rates associated with ratios of fractions

  2. Recognize and represent proportional relationships between quantities

  3. Use proportional relationships to solve multistep ratio and percent problems

  4. Solve problems involving scale drawings

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Practice by skill

Topics mapped to this domain

Effect of scale factor on similar figures

Grade 710 questions

Fluid concentration ratios

Grade 710 questions

Percent discounts

Grade 746 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Percent sales tax

Grade 727 questions

Percent tips

Grade 737 questions

Ratio, rate, and proportion word problems

Grade 710 questions

Ratios, rates, and proportions

Grade 7125 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Similar triangles MNOMNO and PQRPQR have areas 44 and 36.36\textsf{.} Side MNMN corresponds to side PQ,PQ\textsf{,} and MN=5.MN = 5\textsf{.} What is the length of PQ?PQ\textsf{?}

The area ratio is 364=9=k2,\dfrac{36}{4} = 9 = k^{2}\textsf{,} so k=3.k = 3\textsf{.} Then PQ=5⋅3=15.PQ = 5 \cdot 3 = 15\textsf{.}

Practice playeasy

A sports drink is made with syrup and water in a ratio of 55 to 2020. How many cups of syrup should be added to 11 gallon of water to make the drink in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

One gallon of water is 1616 cups. With a 55 to 2020 ratio, 520=x16\dfrac{5}{20} = \dfrac{x}{16}, so 20x=8020x = 80 and x=4x = 4 cups of syrup.

Practice playeasy

A $200\text{\char36}200 pair of shoes is on sale for 50%50\% off. What is the sale price?

Discount: 50100×$200=$100.\dfrac{50}{100} \times \text{\char36}200 = \text{\char36}100\textsf{.} Sale price: $200−$100=$100.\text{\char36}200 - \text{\char36}100 = \text{\char36}100\textsf{.}

Practice playeasy

5050 is what percent of 100100?

50100=0.5=50%\frac{50}{100} = 0.5 = 50\%.

Practice playeasy

A restaurant bill is $72\text{\char36}72. What is a 15%15\% tip, in dollars?

Tip =0.15×72=10.80= 0.15 \times 72 = 10.80 dollars.

Practice playeasy

Sales tax is 10%.10\%\textsf{.} What is the tax on a $20\text{\char36}20 book?

Tax: 10100×$20=$2.\dfrac{10}{100} \times \text{\char36}20 = \text{\char36}2\textsf{.}

Practice playeasy

What is an 18%18\% tip on a $100\text{\char36}100 restaurant bill?

Tip: 18100×$100=$18.\dfrac{18}{100} \times \text{\char36}100 = \text{\char36}18\textsf{.}

Practice playeasy

A passenger train traveled 348348 miles in 44 hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance ÷\div time: 3484=87\dfrac{348}{4} = 87 miles per hour.

Keep practicing

Turn ratios and proportional relationships into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.RP.A.37.RP.A.2
Ratios and Proportional Relationships in other NH SAS grades
Grade 6
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NH SAS prepOfficial test source
Reporting categories

More Grade 7 domains

The Number SystemApplies operations to rational numbers and works with signed quantities.8 QsPractice →Expressions and EquationsUses algebraic reasoning to write, manipulate, and solve equations and inequalities.8 QsPractice →GeometrySolves geometric problems involving angle relationships, circles, and surface area.8 QsPractice →Statistics and ProbabilityUses data to make inferences and understand probability.8 QsPractice →