MCAS Grade 3 Math Practice Test: What Massachusetts Students Should Review

A free MCAS Grade 3 math practice set with 18 original questions and full answer explanations. Covers every Massachusetts Curriculum Framework domain tested at Grade 3 — from multiplication to fractions.

The Massachusetts Comprehensive Assessment System (MCAS) is the statewide assessment program for Massachusetts public school students. At Grade 3, the math test measures how well students have mastered the content described in the Massachusetts Curriculum Framework for Mathematics. For Spring 2026, Massachusetts DESE lists Grades 3-8 Mathematics testing from April 27-May 22, with online administration and paper-based accommodations where appropriate. This guide covers every Grade 3 math reporting category, followed by 18 practice questions with full answer explanations.

ViewMath is an independent publisher and is not affiliated with or endorsed by the Massachusetts Department of Elementary and Secondary Education or any state assessment program.

Official source checked: Massachusetts DESE describes MCAS as a statewide standards-based assessment, lists the Spring 2026 Grades 3-8 Mathematics window as April 27-May 22, and publishes a Grade 3-8 Mathematics test design document. See the MCAS overview, 2026 MCAS schedule, and Grades 3-8 Mathematics test design.

MCAS Grade 3 Math: Domains and Key Topics

The Massachusetts Curriculum Framework for Mathematics at Grade 3 is organized into five domains. DESE’s Grade 3-8 math test design groups Grade 3 reporting categories approximately as follows: Operations and Algebraic Thinking 30%, Number and Operations in Base Ten 15%, Fractions 20%, Measurement and Data 25%, and Geometry 10%.

Operations and Algebraic Thinking (OA)

  • Interpret products of whole numbers as groups of objects (e.g., 4 × 7 = 4 groups of 7)
  • Use multiplication and division within 100 to solve word problems
  • Determine the unknown whole number in a multiplication or division equation
  • Identify arithmetic patterns (e.g., even × even = even; adding rows in a table)
  • Fluently multiply and divide within 100 using strategies and properties

Number and Operations in Base Ten (NBT)

  • Use place value understanding to round whole numbers to the nearest 10 or 100
  • Fluently add and subtract within 1,000 using strategies based on place value and properties of operations
  • Multiply one-digit whole numbers by multiples of 10 (e.g., 8 × 70)

Number and Operations — Fractions (NF)

  • Understand fractions as equal parts of a whole: 1/b means 1 of b equal parts
  • Represent fractions on a number line (e.g., locate 3/4 between 0 and 1)
  • Recognize and generate equivalent fractions (e.g., 1/2 = 2/4)
  • Compare two fractions with the same numerator or denominator using < , =, or >

Measurement and Data (MD)

  • Tell and write time to the nearest minute; solve elapsed-time problems
  • Measure and estimate liquid volumes (liters) and masses (grams, kilograms)
  • Draw scaled bar graphs and picture graphs; solve “how many more” problems
  • Measure lengths to the nearest half-inch; create line plots
  • Understand area as the number of unit squares needed to cover a figure
  • Relate area to multiplication: rows × columns
  • Find perimeters of polygons; distinguish perimeter from area

Geometry (G)

  • Categorize shapes by number of sides, angles, and other attributes
  • Understand that shapes in the same category share attributes (e.g., rectangles and rhombuses are both quadrilaterals)
  • Partition shapes into equal parts and express each part as a fraction (1/4, 1/3, 1/2)

MCAS Grade 3 Math Practice Test — 18 Questions

Section 1: Operations and Algebraic Thinking

1. Mrs. Garcia arranges 6 rows of desks with 8 desks in each row. Which equation can be used to find the total number of desks?
A. 6 + 8 = □    B. 6 × 8 = □    C. 8 ÷ 6 = □    D. 8 − 6 = □

2. A bag has 42 marbles. They are divided equally into 7 groups. How many marbles are in each group?
A. 5    B. 6    C. 7    D. 8

3. What number goes in the box? □ × 9 = 63
A. 6    B. 7    C. 8    D. 9

4. A store has 5 shelves. Each shelf holds 9 books. The store adds 3 more books on the last shelf. How many books are in the store in all?
A. 42    B. 45    C. 47    D. 48

Section 2: Number and Operations in Base Ten

5. What is 567 rounded to the nearest hundred?
A. 500    B. 560    C. 570    D. 600

6. What is 348 + 275?
A. 513    B. 523    C. 613    D. 623

7. What is 4 × 80?
A. 32    B. 84    C. 320    D. 400

Section 3: Fractions

8. A pizza is cut into 6 equal slices. Jenna eats 2 slices. What fraction of the pizza did she eat?
A. 2/6    B. 4/6    C. 2/8    D. 6/2

9. Which fraction is equivalent to 1/2?
A. 2/6    B. 3/4    C. 4/8    D. 2/3

10. Place these fractions in order from least to greatest: 3/4, 1/4, 2/4.
A. 3/4, 2/4, 1/4    B. 1/4, 2/4, 3/4    C. 2/4, 1/4, 3/4    D. 1/4, 3/4, 2/4

Section 4: Measurement and Data

11. A class counted their pets. The bar graph shows dogs: 8, cats: 5, fish: 12, birds: 3. How many more fish were there than dogs?
A. 3    B. 4    C. 5    D. 7

12. A rectangular garden is 7 meters long and 4 meters wide. What is the area of the garden?
A. 11 sq m    B. 22 sq m    C. 28 sq m    D. 44 sq m

13. A rectangle has a length of 9 cm and a width of 5 cm. What is its perimeter?
A. 14 cm    B. 28 cm    C. 45 cm    D. 18 cm

14. A swim practice starts at 3:15 PM and ends at 4:50 PM. How long is the practice?
A. 1 hour 15 minutes    B. 1 hour 25 minutes    C. 1 hour 35 minutes    D. 1 hour 45 minutes

Section 5: Geometry

15. How many sides does a hexagon have?
A. 4    B. 5    C. 6    D. 8

16. A square is divided into 4 equal parts. What fraction does each part represent?
A. 1/3    B. 1/4    C. 1/5    D. 4/1

Open Response

17. Luis has 48 stickers. He wants to put them equally into 6 bags.
Part A: How many stickers will be in each bag? Show your work.
Part B: If Luis puts 3 more stickers in each bag, how many stickers are in all 6 bags now? Show how you found your answer.

18. Draw a rectangle with an area of 12 square units on the grid below. Label the length and width. Then write the equation you used to find the area.

Answer Key with Explanations

  1. B — Rows × desks per row = total. 6 × 8 = 48 desks.
  2. B — 42 ÷ 7 = 6 marbles per group.
  3. B — 7 × 9 = 63, so the unknown is 7.
  4. D — 5 × 9 = 45, then 45 + 3 = 48. The last shelf has 9 + 3 = 12 books; total = 4(9) + 12 = 36 + 12 = 48.
  5. D — 567 is closer to 600 than 500 (the halfway point is 550; 567 > 550).
  6. D — 348 + 275: 300 + 200 = 500; 48 + 75 = 123; 500 + 123 = 623.
  7. C — 4 × 8 = 32, then append the zero: 320.
  8. A — She ate 2 out of 6 equal slices = 2/6.
  9. C — 4/8 = 1/2 (divide both by 4). 2/4 also equals 1/2, but that choice is not listed exactly as written; 4/8 is the correct answer here.
  10. B — Fractions with the same denominator (fourths): 1/4 < 2/4 < 3/4.
  11. B — 12 − 8 = 4 more fish than dogs.
  12. C — Area = 7 × 4 = 28 sq m.
  13. B — Perimeter = 2(9) + 2(5) = 18 + 10 = 28 cm.
  14. C — From 3:15 to 4:15 = 60 min; from 4:15 to 4:50 = 35 min. Total = 95 min = 1 hour 35 minutes.
  15. C — A hexagon has 6 sides.
  16. B — 4 equal parts = 1/4 per part.
  17. Part A: 48 ÷ 6 = 8 stickers per bag. Part B: 8 + 3 = 11 stickers per bag × 6 bags = 66 stickers total.
  18. Accept any rectangle where length × width = 12 (e.g., 3 × 4, 2 × 6, 1 × 12). Equation: e.g., 3 × 4 = 12 sq units.

ViewMath Grade 3 Practice Books for Massachusetts Students

ViewMath Grade 3 math workbooks and practice test collections are designed around the Massachusetts Curriculum Framework standards. Each section provides worked examples followed by graded practice sets, covering all five MCAS domains — from multiplication and fractions to area, perimeter, and data. The step-by-step answer keys help students (and parents) understand exactly what went wrong and why, making it easy to turn test-day mistakes into mastered skills before the next practice session.

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