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Free Practice Questions for MCAS Math Grade 4

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Key Facts: MCAS Math Grade 4 Exam

MCAS Grade 4 Mathematics is administered each spring by the Massachusetts Department of Elementary and Secondary Education (DESE).

The test is aligned to the Grade 4 standards in the Massachusetts Curriculum Framework for Mathematics adopted in 2017.

The grade-4 test has five reporting categories that match the five mathematics framework domains.

The grade-4 Mathematics test is made up of two sessions that include selected-response, short-answer, and constructed-response items.

No calculator is allowed on MCAS Grade 4 Mathematics, but a measurement-conversion reference sheet is provided.

MCAS Grade 4 Mathematics scores are reported on a scaled score from 440 to 560 across four achievement levels.

A scaled score of 500 marks the Meeting Expectations achievement level for MCAS Grade 4 Mathematics.

In spring 2025, 57 percent of Massachusetts fourth graders met or exceeded expectations in Mathematics.

MCAS is free for Massachusetts public-school students because it is funded by the state with no family fee.

Most students take MCAS Grade 4 Mathematics on a computer, with a paper-based version offered as an accommodation.

MCAS Grade 4 Mathematics is Massachusetts's free spring assessment of the 2017 framework grade-4 standards, given in two sessions across five reporting categories and scored on a 440-560 scale where 500 (Meeting Expectations) is on grade level.

Sample MCAS Math Grade 4 Practice Questions

Try these sample questions to review concepts for the MCAS Math Grade 4 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 3,476 + 2,859?
A.6,335
B.6,235
C.5,335
D.6,325
Explanation: Add by place value: 3,476 + 2,859. Ones: 6 + 9 = 15 (write 5, carry 1). Tens: 7 + 5 + 1 = 13. Hundreds: 4 + 8 + 1 = 13. Thousands: 3 + 2 + 1 = 6. The sum is 6,335.
2What is 8,002 - 3,547?
A.4,455
B.4,545
C.5,455
D.4,465
Explanation: Subtract with regrouping: 8,002 - 3,547. Borrow across the zeros so the ones become 12, tens become 9, hundreds become 9. Then 12 - 7 = 5, 9 - 4 = 5, 9 - 5 = 4, and 7 - 3 = 4. The difference is 4,455.
3What is the product of 47 x 6?
A.282
B.242
C.287
D.272
Explanation: Multiply 47 x 6 by breaking apart: (40 x 6) + (7 x 6) = 240 + 42 = 282.
4What is 234 x 5?
A.1,170
B.1,150
C.1,070
D.1,175
Explanation: Multiply by place value: 200 x 5 = 1,000, 30 x 5 = 150, 4 x 5 = 20. Add them: 1,000 + 150 + 20 = 1,170.
5A baker puts 96 muffins into boxes of 8. How many boxes does the baker fill?
A.12
B.11
C.13
D.10
Explanation: Divide the total by the number per box: 96 / 8 = 12. The baker fills 12 boxes because 8 x 12 = 96.
6What is 754 / 6?
A.125 remainder 4
B.125 remainder 2
C.124 remainder 4
D.126 remainder 4
Explanation: Divide 754 by 6: 6 goes into 7 once (1), remainder 1; bring down 5 to make 15, 6 goes in twice (2), remainder 3; bring down 4 to make 34, 6 goes in five times (5), remainder 4. The quotient is 125 with a remainder of 4.
7Maria has 4 times as many stickers as Jon. Jon has 9 stickers. How many stickers does Maria have?
A.36
B.13
C.32
D.40
Explanation: Multiplicative comparison means 4 times as many: 4 x 9 = 36. Maria has 36 stickers.
8Which list shows all the factor pairs of 24?
A.1 and 24, 2 and 12, 3 and 8, 4 and 6
B.1 and 24, 2 and 12, 4 and 6
C.1 and 24, 2 and 12, 3 and 8, 4 and 6, 5 and 5
D.2 and 12, 3 and 8, 4 and 6
Explanation: Factor pairs multiply to 24: 1x24, 2x12, 3x8, and 4x6. These four pairs include every whole-number factor of 24.
9Which number is a prime number?
A.17
B.21
C.15
D.9
Explanation: A prime number has exactly two factors, 1 and itself. 17 has only the factors 1 and 17, so it is prime.
10A number pattern starts at 5 and follows the rule 'add 6.' What are the first four numbers?
A.5, 11, 17, 23
B.5, 11, 16, 22
C.6, 12, 18, 24
D.5, 10, 15, 20
Explanation: Start at 5 and add 6 each time: 5, 5+6=11, 11+6=17, 17+6=23. The first four terms are 5, 11, 17, 23.

About the MCAS Math Grade 4 Exam

The MCAS Grade 4 Mathematics test is part of the Massachusetts Comprehensive Assessment System (MCAS) and measures student mastery of the Grade 4 standards in the Massachusetts Curriculum Framework for Mathematics (2017). It is administered each spring, primarily as a computer-based test, with a paper-based version offered as an accommodation for eligible students. The test is built from five reporting categories that mirror the five framework domains: Operations and Algebraic Thinking; Number and Operations in Base Ten; Number and Operations - Fractions; Measurement and Data; and Geometry. Each grade-4 test is organized into two sessions that include selected-response (multiple choice), short-answer, and constructed-response items. No calculator is allowed at grade 4, though students may use a supplemental reference sheet with customary and metric conversions. Results are reported on a scaled score from 440 to 560 with four achievement levels, where a scaled score of 500 marks the Meeting Expectations threshold, plus performance information for each reporting category.

Exam sponsor: Massachusetts Department of Elementary and Secondary Education (DESE), in partnership with Cognia. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

100 questions

Time Limit

Two test sessions administered during the spring window; sessions are essentially untimed, and students are given the time they need to finish.

Passing Score

Four achievement levels on a 440-560 scale; a scaled score of 500 (Meeting Expectations) indicates on-grade-level performance for Grade 4 Mathematics.

Exam / Certification Fees

Free for Massachusetts public-school students; MCAS is funded by the state with no family registration cost.

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.

Reporting category

Operations and Algebraic Thinking

Multiplicative comparison, multistep word problems, interpreting remainders, factors and multiples, prime and composite numbers, and generating and analyzing number and shape patterns.

Reporting category

Number and Operations in Base Ten

Place value, reading, writing, comparing and rounding multi-digit numbers, multi-digit addition and subtraction, multi-digit multiplication, division with remainders, and estimation.

Reporting category

Number and Operations - Fractions

Equivalent fractions, comparing and ordering fractions, adding and subtracting like-denominator fractions, multiplying a fraction by a whole number, and decimal notation to hundredths.

Reporting category

Measurement and Data

Customary and metric unit conversions, area and perimeter of rectangles, elapsed time and money, and line plots including mode, median, and range.

Reporting category

Geometry

Classifying and measuring angles, additive and unknown angles, parallel and perpendicular lines, classifying two-dimensional shapes, and lines of symmetry.

Preparing for the MCAS Math Grade 4 Exam

What You Need to Know

  • Passing score: Four achievement levels on a 440-560 scale; a scaled score of 500 (Meeting Expectations) indicates on-grade-level performance for Grade 4 Mathematics.
  • Exam length: 100 questions
  • Time limit: Two test sessions administered during the spring window; sessions are essentially untimed, and students are given the time they need to finish.
  • Exam / certification fees: Free for Massachusetts public-school students; MCAS is funded by the state with no family registration cost. 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

MCAS Math Grade 4: Suggested Study Strategy

1Build fluency with multiplication facts up to 12 and the related division facts, since they support multi-digit multiplication and division across the test.
2Practice multi-digit multiplication and long division with remainders, and learn to decide whether to round a remainder up or drop it in a word problem.
3Master equivalent fractions and the link between fractions and decimals, especially tenths and hundredths, because fractions are a heavily tested category.
4Use benchmark fractions like 0, 1/4, 1/2, 3/4, and 1 to compare and order fractions and decimals quickly without a calculator.
5Memorize the customary and metric conversions on the grade-4 reference sheet and practice classifying and measuring angles.
6Work area and perimeter problems for rectangles, including finding an unknown side, and practice reading line plots to find mode, median, and range.

Frequently Asked Questions

What is the MCAS Grade 4 Mathematics test?

It is Massachusetts's spring assessment for fourth-grade math, aligned to the Grade 4 standards in the Massachusetts Curriculum Framework for Mathematics (2017) and administered by the Department of Elementary and Secondary Education (DESE).

What math topics are on the MCAS Grade 4 Mathematics test?

The test covers five reporting categories: Operations and Algebraic Thinking; Number and Operations in Base Ten; Number and Operations - Fractions; Measurement and Data; and Geometry. Topics include multi-digit multiplication and division, fractions, decimals, angles, area, and perimeter.

How is the MCAS Grade 4 Mathematics test scored?

Scores are reported on a scaled score from 440 to 560 with four achievement levels. A scaled score of 500 marks the Meeting Expectations threshold, and students also receive performance information for each reporting category.

What kinds of questions are on the MCAS Grade 4 Mathematics test?

The grade-4 test has two sessions with selected-response (multiple choice), short-answer, and constructed-response items. Most students take it on a computer, with a paper version offered as an accommodation.

Is there a cost to take the MCAS Grade 4 Mathematics test?

No. MCAS is a state-funded assessment given to Massachusetts public-school students at no cost, so there is no registration fee for families.

Can students use a calculator on MCAS Grade 4 Math?

No. A calculator is not allowed on the Grade 4 Mathematics test. Students may use a supplemental reference sheet that lists customary and metric measurement conversions.