36 muffins are packed into boxes of 9. How many boxes are filled?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.A.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
A classroom has 6 tables. 4 students sit at each table. Which equation shows the number of students?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.A.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Knowing that 7 × 8 = 56 helps you find which quotient?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.C.7, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Which is another way to find 2 × 3 × 5?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.B.5, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Which number makes ? ÷ 4 = 9 true?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.A.4, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Which situation can be written as 3 × 8?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Which situation can be written as 40 ÷ 8?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.OA.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Operations and Algebraic Thinking)
Show all 43 questions (36 more)
Number and Operations in Base Ten 2
What is 647 + 185?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NBT.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
What is 1,264 rounded to the nearest hundred?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NBT.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations in Base Ten)
Number and Operations - Fractions 7
A bar is split into 6 equal parts and 4 parts are shaded. What fraction of the bar is shaded?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
A number line from 0 to 1 has marks that split it into 4 equal parts. How long is each part?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
How many parts of size 1/8 make 5/8?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
On a number line marked in thirds, which fraction is at the same mark as 2?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
Starting at 0 on a number line, you mark off 5 lengths of 1/6. Where do you land?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
Two same-size sandwiches are cut. Ana eats 2/3 of hers and Ben eats 2/6 of his. Who eats more?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
Which fraction is equivalent to 1/4?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.NF.A.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Number and Operations - Fractions)
Measurement 5
32 liters of juice are poured equally into 8 coolers. How many liters are in each cooler?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.MD.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Measurement)
A bus leaves at 8:25 and arrives at 9:10. How long is the ride?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.MD.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Measurement)
A four-sided playground has sides of 8 meters, 11 meters, 8 meters and 14 meters. What is its perimeter?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.MD.D.8, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Measurement)
A rectangular poster is 8 feet long and 4 feet wide. What is its area?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.MD.C.7, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Measurement)
In a picture graph, each book symbol stands for 2 books. Jay has 7 symbols and Kim has 4 symbols. How many fewer books did Kim read than Jay?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.MD.B.3, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Measurement)
Geometry 2
A square is split into 4 parts with equal areas. Which statement is true?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.G.A.2, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Geometry)
Which shape is a quadrilateral but is not a rhombus, a rectangle or a square?Maryland College and Career Ready Standards for Mathematics, grade 3, standard 3.G.A.1, as printed in the MCAP Grade 3 Mathematics Evidence Statements (Content subclaim, Geometry)
Reasoning 10
A picture shows 4 rows of 6 squares. A line splits it into 4 rows of 5 squares and 4 rows of 1 square. Which equation does the picture show?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.1; content focus: standard 3.MD.C.7
A rectangle has a perimeter of 20 units and a length of 6 units. Which reasoning finds its width?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.4; content focus: standard 3.MD.D.8
A student claims: "A fraction is always less than 1." Which fraction shows the claim is not true?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.3; content focus: standard 3.NF.A.3
A student claims: "The product of two odd numbers is always odd." Which example supports the claim?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.3; content focus: standard 3.OA.D.9
A student claims: "When you add two whole numbers, the sum is always even." Which example shows the claim is not true?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.3; content focus: standard 3.OA.D.9
A student finds the perimeter of a rectangle 7 units long and 2 units wide by multiplying 7 × 2 = 14. What should the student do instead?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.2; content focus: standard 3.MD.D.8
A student says 1/8 is greater than 1/4 because 8 is greater than 4. What is wrong with this thinking?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.2; content focus: standard 3.NF.A.3
A student subtracts 502 − 148 and gets 446. What mistake did the student make?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.2; content focus: standard 3.NBT.A.2
Jen has 50 beads. She makes 6 bracelets with 7 beads on each. Which work correctly finds the number of beads left?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.4; content focus: standard 3.OA.D.8
Two same-size bars are drawn. One is split into 2 equal parts with 1 shaded. The other is split into 6 equal parts with 3 shaded. The shaded lengths match. What does the picture show?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Reasoning subclaim, evidence statement 3.R.1; content focus: standard 3.NF.A.3
Modeling 10
A baker puts 48 rolls equally into 6 bags. Which operation finds the number of rolls in each bag?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.3; content focus: standard 3.OA.A.3
A class of 24 students is planning a party. Juice comes in packs of 6, and the teacher wants one juice for each student. What problem needs to be solved?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.1; content focus: standard 3.OA.A.3
A farmer wants to cover a pen floor 5 meters by 9 meters with square mats that are 1 meter on each side. Which measure tells how many mats are needed?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.3; content focus: standard 3.MD.C.7
A gardener wants to put a fence around a rectangular garden. Which information is needed to find how much fence to buy?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.2; content focus: standard 3.MD.D.8
A library has 4 shelves with 9 books on each. Then 12 books are checked out. Which equation finds b, the number of books left?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.4; content focus: standard 3.OA.D.8
A student estimates 289 + 412 as about 700, then works out an exact sum of 601. What should the student do?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.5; content focus: standard 3.OA.D.8
Dana must be at school at 8:30. The walk takes 25 minutes. Which plan finds the latest time she can leave home?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.4; content focus: standard 3.MD.A.1
Each van holds 8 students, and 30 students are going on a trip. A student plans for 3 vans because 30 ÷ 8 is about 3. What is wrong with the plan?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.5; content focus: standard 3.OA.D.8
Rosa wants to know how many stickers she has in all. She knows she has 5 sheets of stickers. What else does she need to know?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.2; content focus: standard 3.OA.A.3
Tickets cost $8 for an adult and $5 for a child. Which plan finds the cost for 2 adults and 3 children?MCAP Grade 3 Mathematics Evidence Statements (Maryland State Department of Education, August 2024), Modeling subclaim, evidence statement 3.M.4; content focus: standard 3.OA.D.8
An unofficial Maryland school assessment practice test for 3rd grade math, built on the state's MCAP blueprint: 43 questions of our own, none from an MCAP test or practice test. Not affiliated with the Maryland State Department of Education.
Read the full guide
What the grade 3 MCAP math test covers
Maryland's blueprint has 35 scored items in three subclaims, worth 43 points, and this page has a question for each point. Content is 23 one-point items: 7 on multiplying and dividing, 7 on fractions, 5 on measurement, 2 on base ten and 2 on geometry. Reasoning is 6 items worth 10 points: finding a flaw, testing a claim, explaining a picture. Modeling is 6 items worth 10 points: deciding what a real problem asks, what information it needs and whether a solution works.
Three Maryland limits
The state's evidence statements keep grade 3 fractions to the denominators 2, 3, 4, 6 and 8, time problems to intervals of 60 minutes or less, and products to the 10 by 10 table.
Four items on the real test are answered in writing and scored by people: two on reasoning and two on modeling, 3 points each.
Questions and answers
How many questions are on the grade 3 MCAP math test?
35 scored items, by Maryland's blueprint: 23 on content, 6 on reasoning and 6 on modeling. Thirty-one are machine scored and four are written answers scored by people.
How long is the MCAP math test for 3rd grade?
The state says the mathematics tests have four sections and students have up to 40 minutes for each. Grades 3 to 8 are tested late in the school year.
Can 3rd graders use a calculator on MCAP math?
On some items. Online, a four-function calculator appears on the items that allow one. On the paper test for grades 3 to 5, sections 1 and 3 are non-calculator and sections 2 and 4 allow one.
What is a passing score on the MCAP?
MCAP reports a scale score and one of four performance levels: Beginning Learner, Developing Learner, Proficient Learner or Distinguished Learner. It is not a percent, so a percent on this page is practice only.
Where is Maryland's own MCAP practice test for grade 3 math?
On the state's MCAP portal, under Practice Tests. The state also has a public release site with questions from past tests. The box under the questions links to the portal. The questions on this page are different ones.