NY State Math Grades 3–8 Ratios and Proportional Relationships. Practice it free.

The test asks students to use ratios and rates to solve problems and to analyze proportional relationships. This Grades 3–8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grades 3–811 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Understand ratio concepts and use ratio reasoning to solve problems

  2. Analyze proportional relationships and use them to solve real-world and mathematical problems

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Try it now

8 free questions · 0/0 correct

Practice playeasy

A documentary film lasts 33 hours. How many minutes long is the film? (11 hour =60= 60 minutes)

Use a conversion factor with minutes in the numerator so hours cancel: 3 hr×60 min1 hr=180 min3 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} = 180 \text{ min}.

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

Write 0.8750.875 as a fraction in lowest terms.

0.875=780.875 = \dfrac{7}{8}.

Practice playeasy

A park has 900900 newly planted trees. Gardeners water 10%10\% of the trees each morning. How many trees are watered each morning?

Convert 10%10\% to a decimal and multiply: 0.10×900=900.10 \times 900 = 90 trees.

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

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.

Practice playeasy

Given a:b=5:2a:b = 5:2 and a=75a = 75, find bb.

ab=52\dfrac{a}{b} = \dfrac{5}{2}. With a=75a = 75, 75b=52\dfrac{75}{b} = \dfrac{5}{2}, so 5b=1505b = 150 and b=30b = 30.

Keep practicing

Turn ratios and proportional relationships into game time.

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