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Sample MCAP Grade 5 Math Practice Questions

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

1Evaluate the numerical expression: $3 \times (4 + 8) - 10$.
A.26
B.22
C.34
D.18
Explanation: According to the order of operations (PEMDAS), first solve inside parentheses: $4 + 8 = 12$. Next, multiply by 3: $3 \times 12 = 36$. Finally, subtract 10: $36 - 10 = 26$.
2Which numerical expression represents the statement: 'Add 7 and 9, then multiply the sum by 4'?
A.$(7 + 9) \times 4$
B.$7 + (9 \times 4)$
C.$7 \times 9 + 4$
D.$4 \times 7 + 9$
Explanation: The phrase 'Add 7 and 9' requires grouping $(7 + 9)$ in parentheses so addition is performed first. 'Then multiply the sum by 4' means multiplying the result by 4, giving $(7 + 9) \times 4$.
3Evaluate the expression: $2 \times [15 - (3 + 4)]$.
A.16
B.23
C.11
D.30
Explanation: Evaluate the innermost grouping first: $(3 + 4) = 7$. Next, solve inside brackets: $15 - 7 = 8$. Finally, multiply by 2: $2 \times 8 = 16$.
4Without fully calculating, compare the values of Expression A: $5 \times (128 + 47)$ and Expression B: $128 + 47$. Which statement is true?
A.Expression A is 5 times as large as Expression B.
B.Expression A is 5 more than Expression B.
C.Expression B is 5 times as large as Expression A.
D.Expression A and Expression B have equal values.
Explanation: Expression B is the quantity $(128 + 47)$. Expression A multiplies that exact same quantity by 5, meaning Expression A is 5 times as large as Expression B.
5Pattern X starts at 0 and uses the rule 'Add 3'. Pattern Y starts at 0 and uses the rule 'Add 6'. Which pair of corresponding terms comes third in the patterns?
A.(6, 12)
B.(3, 6)
C.(9, 18)
D.(12, 24)
Explanation: Pattern X terms are 0 (1st), 3 (2nd), 6 (3rd), 9 (4th). Pattern Y terms are 0 (1st), 6 (2nd), 12 (3rd), 18 (4th). The 3rd pair of corresponding terms is $(6, 12)$.
6Evaluate the numerical expression: $(24 \div 3) + (8 \times 2)$.
A.24
B.32
C.18
D.28
Explanation: Evaluate inside parentheses first: $24 \div 3 = 8$ and $8 \times 2 = 16$. Then add the results: $8 + 16 = 24$.
7Marcus bought 3 shirts that cost $14 each and 2 pairs of pants that cost $25 each. Which expression shows the total amount Marcus spent?
A.$(3 \times 14) + (2 \times 25)$
B.$3 + 14 \times 2 + 25$
C.$(3 + 2) \times (14 + 25)$
D.$3 \times (14 + 25) \times 2$
Explanation: The cost of the shirts is $3 \times 14 = 42$ and the cost of the pants is $2 \times 25 = 50$. Adding these two products together gives $(3 \times 14) + (2 \times 25)$.
8Find the value of $[(40 - 16) \div 4] + (7 \times 3)$.
A.27
B.33
C.21
D.39
Explanation: First perform operations inside grouping symbols: $(40 - 16) = 24$. Then divide: $24 \div 4 = 6$. Multiply the second part: $7 \times 3 = 21$. Finally add: $6 + 21 = 27$.
9Rule 1 starts at 0 and adds 4 (0, 4, 8, 12, 16...). Rule 2 starts at 0 and adds 12 (0, 12, 24, 36, 48...). Which statement correctly describes the relationship between the corresponding terms of the two patterns?
A.Each term in Rule 2 is 3 times the corresponding term in Rule 1.
B.Each term in Rule 2 is 8 more than the corresponding term in Rule 1.
C.Each term in Rule 1 is 3 times the corresponding term in Rule 2.
D.Each term in Rule 2 is 4 times the corresponding term in Rule 1.
Explanation: Comparing corresponding non-zero terms: $4 \times 3 = 12$, $8 \times 3 = 24$, $12 \times 3 = 36$, $16 \times 3 = 48$. Each term in Rule 2 is exactly 3 times the corresponding term in Rule 1 because the rate of change (+12) is 3 times the rate of change (+4).
10Evaluate the expression: $50 - 2 \times [3 + (8 - 2)]$.
A.32
B.432
C.38
D.18
Explanation: Parentheses first: $8 - 2 = 6$. Brackets next: $3 + 6 = 9$. Multiplication before subtraction: $2 \times 9 = 18$. Finally subtract: $50 - 18 = 32$.

About the MCAP Grade 5 Math Exam

The statewide Grade 5 mathematics assessment is available in English and Spanish. This is an English-language MCQ study adaptation, not an official translation or format simulation; it does not replace equation entry, modeling, or constructed reasoning.

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

Assessment

Four sections using selected-response, equation-entry, constructed-response, and technology-enhanced tasks.

Time Limit

Four 40-minute sections (160 minutes total)

Passing Score

Not a pass/fail exam; results are reported in performance levels.

Exam / Certification Fees

No individual candidate fee; administered through eligible Maryland 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.

2 operational items

Operations and Algebraic Thinking

Expressions, patterns, and problem solving.

6 operational items

Number and Operations in Base Ten

Place value and decimal computation.

9 operational items

Number and Operations—Fractions

Fraction operations and applications.

4 operational items

Measurement and Data

Measurement, volume, and data.

2 operational items

Geometry

Coordinate and shape reasoning.

6 items each

Mathematical Reasoning and Modeling

Reasoning and application/modeling across content domains.

Preparing for the MCAP Grade 5 Math Exam

What You Need to Know

  • Passing score: Not a pass/fail exam; results are reported in performance levels.
  • Assessment: Four sections using selected-response, equation-entry, constructed-response, and technology-enhanced tasks.
  • Time limit: Four 40-minute sections (160 minutes total)
  • Exam / certification fees: No individual candidate fee; administered through eligible Maryland 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

MCAP Grade 5 Math: Suggested Study Strategy

1Explain each operation.
2Practice equation-entry and constructed reasoning.
3Review the official evidence statements.

Frequently Asked Questions

How long is it?

Four 40-minute sections in the Spring 2026 manual.

Is there one fixed question count?

No; forms may vary and field-test items may be included.

What languages are official?

English and Spanish versions are available; this site keeps one English-language MCQ bank.