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Sample MTYA Grade 5 Math Practice Questions

Try these sample questions to review concepts for the MTYA Grade 5 Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of the expression 3 × (4 + 5)?
A.27
B.17
C.12
D.23
Explanation: According to the order of operations, evaluate the addition inside the parentheses first: 4 + 5 = 9. Then multiply the result by 3: 3 × 9 = 27.
2Which numerical expression represents 'add 8 and 12, then multiply by 2'?
A.(8 + 12) × 2
B.8 + (12 × 2)
C.8 × 12 + 2
D.8 + 12 × 2
Explanation: The phrase 'add 8 and 12' requires parentheses around (8 + 12) so that addition is performed first. Multiplying the entire sum by 2 yields (8 + 12) × 2.
3Evaluate the numerical expression: (15 - 5) ÷ 2.
A.5
B.10
C.12.5
D.7.5
Explanation: First, evaluate the subtraction inside the parentheses: 15 - 5 = 10. Next, divide 10 by 2, which gives 5.
4Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 6. What are the first three terms of Pattern A and Pattern B?
A.Pattern A: 0, 3, 6; Pattern B: 0, 6, 12
B.Pattern A: 3, 6, 9; Pattern B: 6, 12, 18
C.Pattern A: 0, 3, 5; Pattern B: 0, 6, 10
D.Pattern A: 0, 1, 2; Pattern B: 0, 2, 4
Explanation: Pattern A starts at 0 and adds 3: 0, 0+3=3, 3+3=6. Pattern B starts at 0 and adds 6: 0, 0+6=6, 6+6=12. The first three terms are (0, 3, 6) and (0, 6, 12).
5Which statement correctly compares the values of the expressions 4 × (5 + 3) and (5 + 3)?
A.The value of 4 × (5 + 3) is 4 times the value of (5 + 3).
B.The value of 4 × (5 + 3) is 4 more than the value of (5 + 3).
C.The value of 4 × (5 + 3) is equal to the value of (5 + 3).
D.The value of 4 × (5 + 3) is 3 times the value of (5 + 3).
Explanation: Multiplying an expression (5 + 3) by 4 scales the entire quantity by a factor of 4. Therefore, 4 × (5 + 3) is 4 times as large as (5 + 3).
6Evaluate: 20 - [2 × (3 + 4)].
A.6
B.14
C.26
D.10
Explanation: First, evaluate the innermost grouping: 3 + 4 = 7. Next, evaluate the brackets: 2 × 7 = 14. Finally, subtract from 20: 20 - 14 = 6.
7What is the value of the expression 4 × [10 - (2 + 3)]?
A.20
B.35
C.15
D.25
Explanation: First perform the inner addition: 2 + 3 = 5. Next subtract inside the bracket: 10 - 5 = 5. Finally, multiply: 4 × 5 = 20.
8Which expression represents 'subtract 6 from 18, then divide by the sum of 1 and 3'?
A.(18 - 6) ÷ (1 + 3)
B.(18 - 6) ÷ 1 + 3
C.18 - (6 ÷ 1) + 3
D.18 - 6 ÷ (1 + 3)
Explanation: 'Subtract 6 from 18' is written as (18 - 6). 'The sum of 1 and 3' is written as (1 + 3). Dividing the first quantity by the second gives (18 - 6) ÷ (1 + 3).
9Evaluate: [(8 + 4) × 3] - 10.
A.26
B.36
C.22
D.16
Explanation: First, evaluate the inner addition: 8 + 4 = 12. Next, multiply inside the brackets: 12 × 3 = 36. Finally, subtract: 36 - 10 = 26.
10Pattern X starts at 0 and adds 4 (0, 4, 8, 12...). Pattern Y starts at 0 and adds 12 (0, 12, 24, 36...). How do the terms in Pattern Y compare to the corresponding terms in Pattern X?
A.Each term in Pattern Y is 3 times the corresponding term in Pattern X.
B.Each term in Pattern Y is 8 more than the corresponding term in Pattern X.
C.Each term in Pattern Y is 4 times the corresponding term in Pattern X.
D.Each term in Pattern Y is 2 times the corresponding term in Pattern X.
Explanation: Comparing corresponding terms: 0 vs 0 (3×0=0), 4 vs 12 (3×4=12), 8 vs 24 (3×8=24), 12 vs 36 (3×12=36). Each term in Pattern Y is 3 times the corresponding term in Pattern X because 12 ÷ 4 = 3.

About the MTYA Grade 5 Math Exam

Statewide assessment for Maine Grade 5 students measuring decimal and fraction operations, volume calculation, and coordinate geometry. This practice bank provides an English-language MCQ study adaptation.

Exam sponsor: Maine Department of Education (MDOE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

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 / Certification Fees

No individual candidate fee; administered statewide in Maine public schools.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

13–15%

Operations & Algebraic Thinking

Official spring blueprint range.

53–55%

Number & Operations

Official spring blueprint range for base-ten and fraction content.

18–20%

Measurement & Data

Official spring blueprint range.

13–15%

Geometry

Official spring blueprint range.

Preparing for the MTYA Grade 5 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 / certification fees: No individual candidate fee; administered statewide in Maine public schools. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

MTYA Grade 5 Math: Suggested Study Strategy

1Master adding and subtracting unlike fractions.
2Practice multiplying and dividing decimals.
3Understand volume formula V = l * w * h.

Frequently Asked Questions

What is the MTYA Grade 5 Math assessment?

It is Maine's statewide computer-adaptive assessment for Grade 5 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.