NJSLA Grade 7 Ratios and Proportional Relationships. Practice it free.

Analyze proportional relationships and use them to solve real-world and mathematical problems. This Grade 7 reporting domain maps to 10 practice skills and 8 representative questions from the playable bank.

Grade 7RP10 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. 7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units

  2. 7.RP.A.2 Recognize and represent proportional relationships between quantities

  3. 7.RP.A.2a Decide whether two quantities are in a proportional relationship

  4. 7.RP.A.2b Identify the constant of proportionality

  5. 7.RP.A.2c Graph proportional relationships and interpret the unit rate as the slope of the graph

  6. 7.RP.A.2d Explain what a point (x, y) on the graph of a proportional relationship means

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

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cyclist rode 6363 kilometers in 1.51.5 hours at a constant speed. What was the cyclist's speed, in kilometers per hour?

Speed = 631.5=42\dfrac{63}{1.5} = 42 kilometers per hour.

Practice playeasy

Solve for yy: 64=y24\dfrac{6}{4} = \dfrac{y}{24}.

Cross-multiply: 4y=1444y = 144, so y=36y = 36.

Practice playeasy

A fabric dye bath uses dye concentrate and water in a ratio of 44 to 3232. How many cups of dye concentrate should be added to 22 gallons of water to make the bath in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Two gallons of water is 3232 cups. With a 44 to 3232 ratio, 432=x32\dfrac{4}{32} = \dfrac{x}{32}, so x=4x = 4 cups of dye concentrate.

Practice playeasy

A $200\text{\char36}200 hoodie is on sale for 25%25\% off. What is the sale price?

Discount: 25100×$200=$50.\dfrac{25}{100} \times \text{\char36}200 = \text{\char36}50\textsf{.} Sale price: $200−$50=$150.\text{\char36}200 - \text{\char36}50 = \text{\char36}150\textsf{.}

Practice playeasy

What is a 15%15\% tip on a $200\text{\char36}200 bill?

Tip: 15100×$200=$30\frac{15}{100} \times \text{\char36}200 = \text{\char36}30.

Practice playmedium

2727 is 45%45\% of a number. What is the number?

Let nn be the number. Then 0.45n=270.45n = 27, so n=27÷0.45=60n = 27 \div 0.45 = 60.

Practice playeasy

Sales tax is 5%.5\%\textsf{.} What is the tax on an $80\text{\char36}80 jacket?

Tax: 5100×$80=$4.\dfrac{5}{100} \times \text{\char36}80 = \text{\char36}4\textsf{.}

Practice playeasy

What is a 20%20\% tip on an $80\text{\char36}80 haircut?

Tip: 20100×$80=$16.\dfrac{20}{100} \times \text{\char36}80 = \text{\char36}16\textsf{.}

Keep practicing

Turn ratios and proportional relationships into game time.

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