Maine MTA Grades 6-8 Ratios and Proportional Relationships. Practice it free.

Analyzes proportional relationships and use them to solve real-world and mathematical problems. This Grades 6-8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grades 6-811 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

Common Core State Standards (CCSS-M) — Maine

How the Maine MTA reports it

Maine Through-Year Assessment is Maine’s state assessment program delivered with NWEA MAP Growth item pools and through-year administration. The public sources identify it as a Maine DOE assessment aligned to Common Core State Standards in math, but Maine uses its own through-year blueprint rather than a separate national framework.

Blueprint & weighting

No official per-domain item weighting was located in the Maine DOE public assessment posts or the cited pages. The public Maine DOE materials emphasize a through-year model with fall-to-spring growth measurement rather than a published domain-by-domain blueprint.

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