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100+ Free MTYA Grade 6 Math Practice Questions

Prepare for the Maine Through Year Assessment Mathematics — Grade 6 exam with instant access — no signup required.

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Sample MTYA Grade 6 Math Practice Questions

Try these sample questions to test your MTYA Grade 6 Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe calls for 3 cups of flour and 2 cups of sugar. What is the ratio of cups of sugar to total cups of ingredients?
A.2 : 5
B.2 : 3
C.3 : 2
D.3 : 5
Explanation: The total amount of ingredients is 3 + 2 = 5 cups. The ratio of sugar (2 cups) to total ingredients (5 cups) is 2 : 5.
2In a middle school band, there are 12 flutes and 16 clarinets. Which statement correctly describes the ratio of flutes to clarinets in simplest form?
A.For every 3 flutes, there are 4 clarinets.
B.For every 4 flutes, there are 3 clarinets.
C.For every 3 flutes, there are 7 clarinets.
D.For every 4 flutes, there are 7 clarinets.
Explanation: The ratio 12 : 16 simplifies by dividing both terms by 4, giving 3 : 4. Therefore, for every 3 flutes, there are 4 clarinets.
3Which of the following ratios is equivalent to 8 : 12?
A.6 : 9
B.4 : 8
C.2 : 5
D.16 : 20
Explanation: Simplifying 8 : 12 by dividing both numbers by 4 gives 2 : 3. Simplifying 6 : 9 by dividing both by 3 also gives 2 : 3. Thus, 6 : 9 is equivalent.
4A basket contains 5 green apples and 15 red apples. What fraction of the total apples are green?
A.1/4
B.1/3
C.3/4
D.1/5
Explanation: Total apples = 5 + 15 = 20. The fraction of green apples is 5/20, which simplifies to 1/4.
5A sports shop sells 4 basketballs for every 7 soccer balls. If the shop sold 28 soccer balls, how many basketballs did it sell?
A.16
B.14
C.20
D.49
Explanation: The scale factor for soccer balls is 28 / 7 = 4. Multiplying the basketball ratio term by 4 gives 4 * 4 = 16 basketballs.
6A car travels 240 miles on 8 gallons of gas. What is the unit rate in miles per gallon?
A.30 miles per gallon
B.25 miles per gallon
C.32 miles per gallon
D.40 miles per gallon
Explanation: Divide total miles by total gallons: 240 / 8 = 30 miles per gallon.
7Store A sells 5 cans of soup for $6.00. Store B sells 8 cans of the same soup for $9.20. Which store offers a lower unit price and by how much?
A.Store B by $0.05 per can
B.Store A by $0.05 per can
C.Store B by $0.10 per can
D.Store A by $0.10 per can
Explanation: Store A unit price = $6.00 / 5 = $1.20 per can. Store B unit price = $9.20 / 8 = $1.15 per can. Store B is lower by $1.20 - $1.15 = $0.05 per can.
8A cyclist rides at a constant speed of 18 miles per hour. How many miles does the cyclist travel in 40 minutes?
A.12 miles
B.10 miles
C.15 miles
D.14 miles
Explanation: Convert 40 minutes to hours: 40/60 = 2/3 hour. Distance = Speed * Time = 18 * (2/3) = 12 miles.
9A painter paints 3/4 of a wall in 1/2 hour. At this rate, how many walls can the painter paint in 1 hour?
A.1 1/2 walls
B.3/8 wall
C.1 1/4 walls
D.2 walls
Explanation: Unit rate = (3/4 wall) / (1/2 hour) = (3/4) * (2/1) = 6/4 = 1 1/2 walls per hour.
10A machine prints 450 pages in 15 minutes. How many pages does it print in 8 minutes?
A.240 pages
B.225 pages
C.270 pages
D.300 pages
Explanation: Find the unit rate: 450 / 15 = 30 pages per minute. Multiply by 8 minutes: 30 * 8 = 240 pages.

About the MTYA Grade 6 Math Exam

Statewide assessment for Maine Grade 6 students measuring middle school mathematics concepts including ratios, negative numbers, algebraic expressions, and statistics. This practice bank provides an English-language MCQ study adaptation.

Assessment

Computer-adaptive mathematics assessment covering four official reporting domains through seven official item types.

Time Limit

Untimed; testing may be split into multiple sessions.

Passing Score

Not a pass/fail exam; reported across four state achievement levels.

Exam Fee

No individual candidate fee; administered statewide in Maine public schools. (Maine Department of Education (MDOE))

MTYA Grade 6 Math Exam Content Outline

25%

Operations and Algebraic Thinking

Official spring blueprint weight, including ratios, expressions, and equations.

45%

The Real and Complex Number Systems

Official spring blueprint weight for number-system content.

15%

Geometry

Official spring blueprint weight.

15%

Statistics and Probability

Official spring blueprint weight.

How to Pass the MTYA Grade 6 Math Exam

What You Need to Know

  • Passing score: Not a pass/fail exam; reported across four state achievement levels.
  • Assessment: Computer-adaptive mathematics assessment covering four official reporting domains through seven official item types.
  • Time limit: Untimed; testing may be split into multiple sessions.
  • Exam fee: No individual candidate fee; administered statewide in Maine public schools.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

MTYA Grade 6 Math Study Tips from Top Performers

1Understand unit rates and unit pricing.
2Practice operating with negative numbers and absolute value.
3Evaluate expressions with exponents.

Frequently Asked Questions

What is the MTYA Grade 6 Math assessment?

It is Maine's statewide computer-adaptive assessment for Grade 6 mathematics, administered in partnership with NWEA.

Is this practice bank the official test format?

No. It is an English-language four-option MCQ study adaptation, not a simulation of the official adaptive assessment or its multi-select, composite, gap-match, graphic gap-match, hot-text, and numeric-entry items.