• 43 questions

MCAP Practice Test Grade 4 Math

Fourth grade math for Maryland's MCAP: ten fraction questions, multi-digit arithmetic, and the reasoning and modeling the blueprint scores.

Which statement means the same as 42 = 6 × 7?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

Print covers the next 35 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 35 questions, 160 minutes.

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Unofficial practice questions, not affiliated with the Maryland State Department of Education. Bank checked October 13, 2026.

The real test: MCAP math, grade 4

Questions
35
Time limit
160 minutes
Sections
Four, with up to 40 minutes for each.
Scored items
23 on content (Fractions 10, Base Ten 5, Operations and Algebraic Thinking 4, Measurement 3, Geometry 1), 6 on reasoning and 6 on modeling.
Written answers
Four items are scored by people: two on reasoning and two on modeling, 3 points each. The other 31 are machine scored.
How it is given
Computer adaptive, late in the school year. Each question must be answered before the next one shows.
Calculator
A four-function calculator with square root and percent keys on the items that allow one. On paper, sections 2 and 4 only.
Results
A scale score and one of four levels: Beginning, Developing, Proficient or Distinguished Learner.

Checked October 13, 2026 against the MCAP Grade 4 Mathematics High Level Blueprint and Evidence Statements, the computer-adaptive testing sheet, the calculator policy and the score interpretation guide for parents of the Maryland State Department of Education. Rules change, so confirm with the agency itself before your test.

The state's own practice tests

Next step More grade 4 math practice

All 43 questions

Operations and Algebraic Thinking 4

  • A baker fills 9 trays with 16 rolls on each tray. The rolls are then packed equally into 6 bags. How many rolls go in each bag? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.OA.A.3, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
  • A ferry crosses the bay in 9 minutes. The bus trip around the bay takes 3 times as long as the ferry. How long is the bus trip? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.OA.A.2, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
  • A number pattern starts at 4 and follows the rule "add 8": 4, 12, 20, 28, 36. Which statement is true of every number in the pattern? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.OA.C.5, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
  • Which statement means the same as 42 = 6 × 7? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.OA.A.1, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Show all 43 questions (39 more)

Number and Operations in Base Ten 5

  • In the number 55,062, how does the value of the 5 in the ten-thousands place compare with the value of the 5 in the thousands place? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NBT.A.1, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
  • What is 46 × 38? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NBT.B.5, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
  • What is 2,759 ÷ 6? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NBT.B.6, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
  • What is 7,204 − 3,658? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NBT.B.4, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
  • What is 386,451 rounded to the nearest ten thousand? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NBT.A.3, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)

Number and Operations - Fractions 10

  • A hiking trail is marked in 5 equal parts, and Ana has walked 2 of them. Which fraction names the same distance as 2/5 of the trail? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.A.1, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • A painter uses 7/10 of a gallon of paint on a fence and 5/10 of a gallon on a gate. How much paint does he use in all? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.B.3d, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • A seed is planted 4/100 of a meter deep. Which decimal shows that depth in meters? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.C.6, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • All four comparisons are about the same whole. Which comparison is true? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.A.2, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • Four pumpkins are weighed in kilograms: 2.5, 2.48, 2.09 and 2.6. Which list shows the weights from least to greatest? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.C.7, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • One loaf of bread takes 2/3 of a cup of milk. A baker makes 4 loaves. How many cups of milk does she use in all? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.B.4c, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • What is 4 1/6 − 2 5/6? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.B.3c, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • What is 6/10 + 9/100? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.C.5, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • Which expression is equal to 3 × 2/5? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.B.4b, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
  • Which sum is another way to write 11/12? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.NF.B.3b, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)

Measurement 3

  • A line plot of bean sprout lengths has 3 Xs above 1 3/8 inches, 2 Xs above 1 5/8 inches and 1 X above 2 1/8 inches. What is the difference between the longest and the shortest sprout? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.MD.B.4, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Measurement)
  • A rectangular patio has an area of 84 square feet and a length of 12 feet. What is its perimeter? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.MD.A.3, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Measurement)
  • Angle PQR measures 140°. Ray QS splits it into two angles that do not overlap. Angle PQS measures 65°. What is the measure of angle SQR? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.MD.C.7, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Measurement)

Geometry 1

  • Which triangle is a right triangle? Maryland College and Career Ready Standards for Mathematics, grade 4, standard 4.G.A.2, as printed in the MCAP Grade 4 Mathematics Evidence Statements (Content subclaim, Geometry)

Reasoning 10

  • A baker has 250 muffins and packs 8 in each box. She says she needs 32 boxes to pack every muffin. Which explanation shows she is correct? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.4; content focus: standard 4.OA.A.3
  • A pattern starts at 2 and follows the rule "add 5": 2, 7, 12, 17, 22. Ty says the numbers will keep switching between even and odd. Which reasoning shows that Ty is right? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.3; content focus: standard 4.OA.C.5
  • A rectangle is split into 4 equal parts and 3 are shaded. Then each part is cut in half, so there are 8 equal parts and 6 are shaded. What does the picture show? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.1; content focus: standard 4.NF.A.1
  • An area model for 6 × 47 is a rectangle that is 6 units tall. It is split into one part 40 units wide and one part 7 units wide. Which equation does the model show? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.1; content focus: standard 4.NBT.B.5
  • Ana rounds 64,850 to the nearest thousand. She writes 64,000 "because the thousands digit is 4, and 4 is less than 5". How should she correct her work? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.2; content focus: standard 4.NBT.A.3
  • Kim says, "The fraction with the larger denominator is always the smaller fraction." Both fractions in each pair refer to the same whole. Which pair shows that Kim's statement is not always true? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.3; content focus: standard 4.NF.A.2
  • Leo says 5 × 3/4 = 15/20 "because 5 × 3 = 15 and 5 × 4 = 20". What is his mistake? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.2; content focus: cluster 4.NF.B
  • Sam says, "Every number that has 3 as a factor also has 6 as a factor." Which number shows that Sam's statement is not true? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.3; content focus: standard 4.OA.B.4
  • Two runners time a sprint. Mara says 9.4 seconds is a shorter time than 9.38 seconds "because 4 is less than 38". What is the flaw in her thinking? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.2; content focus: standard 4.NF.C.7
  • Which strategy gives the correct product for 5 × 398? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 4.R.4; content focus: standard 4.NBT.B.5

Modeling 10

  • A class is planning a trip. Every bus holds the same number of riders, and the teacher knows how many students and adults are going. What problem does the teacher need to solve to rent buses? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.1; content focus: standard 4.OA.A.3
  • A cook uses 3/4 cup of rice for each batch of soup and makes 6 batches. Which expression gives the cups of rice needed? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.3; content focus: standard 4.NF.B.4c
  • A farm packs eggs in cartons of 12. It fills 45 cartons and has 7 eggs left over. Which plan finds the total number of eggs? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.4; content focus: standards 4.NBT.B.5 and 4.OA.A.3
  • A painter will cover a wall that is 12 feet long and 9 feet high. One can of paint covers 50 square feet. She plans to buy 2 cans. Does her plan work? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.5; content focus: standard 4.MD.A.3
  • A rope is 9 meters long. It will be cut into pieces that are 50 centimeters long. What must be done first to find the number of pieces? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.3; content focus: standards 4.MD.A.1 and 4.MD.A.2
  • A table shows the pounds of cans that each of four grades collected. The principal will give a prize if the school collected more than its goal of 500 pounds. What problem needs to be solved? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.1; content focus: standard 4.NBT.B.4
  • Ben has 3 hours before bedtime. Homework takes 45 minutes, practice takes 90 minutes and dinner takes 40 minutes. He writes: "45 + 90 + 40 = 175, and 3 hours is 300 minutes, so I have 125 minutes left." What is wrong with his solution? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.5; content focus: standards 4.MD.A.1 and 4.MD.A.2
  • Nia has $45. She saves $15 each week for a bike that costs $180. Which equation can be used to find w, the number of weeks she still needs to save? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.4; content focus: standard 4.OA.A.3
  • Rosa will cover a rectangular floor with square tiles that are 1 foot on each side. She knows the floor is 14 feet long. What else does she need to know to find how many tiles to buy? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.2; content focus: standard 4.MD.A.3
  • Tickets to a play cost $7 each. A scout group has $100. Which piece of information is needed to decide whether $100 is enough? MCAP Grade 4 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 4.M.2; content focus: standard 4.OA.A.3

How this list was compiled: Outline: MCAP Grade 4 Mathematics High Level Blueprint (Maryland State Department of Education, September 2022), https://marylandpublicschools.org/about/Documents/DCAA/Math/MGLCR/Blueprints/MCAP/Grade_4_MCAP_Public_Blueprint-A.pdf, and the Grade 4 Mathematics Evidence Statements (August 2024), https://marylandpublicschools.org/about/Documents/DCAA/Math/MGLCR/Evidence/Grade_4_Evidence_Statements-A.pdf, both linked from the department's page Maryland Comprehensive Assessment Program (MCAP) Mathematics, https://msde.maryland.gov/about/Pages/DAAIT/Assessment/MCAP/Math.aspx. The page and its documents were read on 2026-10-13 in the Internet Archive's copies of 29 and 30 July 2026 (https://web.archive.org/web/2026/https://marylandpublicschools.org/about/Pages/DAAIT/Assessment/MCAP/Math.aspx). Each question names the standard or evidence statement it practices as the evidence statements print it. Test facts: Computer-Adaptive Testing (CAT) in MCAP Mathematics, https://marylandpublicschools.org/about/Documents/DCAA/Math/MCAP/MCAP-Math-CAT-2025-A.pdf, and the MCAP Mathematics Assessments Calculator Policy, https://marylandpublicschools.org/about/Documents/DCAA/Math/MCAP/MCAP-Mathematics-Assessment-Calculator-Policy-A.pdf, read the same way; MCAP Spring 2026 ELA Math Score Interpretation Guide for Parents/Caregivers, https://support.mdassessments.com/resources/reporting/SP26%20E_M%20SIG%20Parents_260220_APPROVED.pdf, read 2026-10-13. Every calculation is arithmetic on the numbers in the question, worked out twice. Licence: Own work. Questions, answer choices and explanations were written for this site from the published blueprint and evidence statements. Nothing is copied or reworded from an MCAP test, a practice test or released item of the state, an example in the evidence statements or another practice test.

How it works

Unofficial MCAP practice for grade 4 math, written to Maryland's blueprint: 43 questions of our own, none from an MCAP test, a state practice test or a released item. Not affiliated with the Maryland State Department of Education.

Read the full guide

What the grade 4 MCAP math test covers

Maryland's blueprint has 35 scored items worth 43 points, and this page has a question for each point. Content is 23 one-point items: 10 on fractions, 5 on base ten, 4 on operations and algebraic thinking, 3 on measurement and 1 on geometry. Reasoning and modeling have 6 items and 10 points each: finding a flaw, testing a claim, choosing what a real problem needs, judging a solution.

Limits Maryland sets for grade 4

The state's evidence statements keep fractions to the denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100, whole numbers to 1,000,000 and division to one-digit divisors. Unit conversions go only from a larger unit to a smaller one.

Questions and answers

How many questions are on the grade 4 MCAP math test?

35 scored items, by Maryland's blueprint. Four of them, two in reasoning and two in modeling, are written answers worth 3 points each.

How long is the MCAP math test in 4th grade?

Maryland's sheet on computer-adaptive testing says the math tests have about 35 questions in four sections, with up to 40 minutes for each section. Each question must be answered before the next one appears.

Is a calculator allowed on the grade 4 MCAP?

On the items that allow one, the online test supplies a four-function calculator with square root and percent keys. On the paper test for grades 3 to 5, sections 2 and 4 are calculator sections and sections 1 and 3 are not.

What is a passing score on the grade 4 MCAP?

There is no percent to pass. Maryland reports a scale score and one of four performance levels: Beginning Learner, Developing Learner, Proficient Learner or Distinguished Learner.

Does Maryland have its own MCAP practice test for grade 4 math?

Yes. The state's MCAP portal has practice tests, and its public release site has questions from past tests. The questions on this page are different ones, written for this site.

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