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100+ Free MCAS Math Grade 3 Practice Questions

Pass your MCAS Grade 3 Mathematics (Massachusetts Comprehensive Assessment System) exam on the first try — instant access, no signup required.

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Which shape is NOT a quadrilateral?

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Key Facts: MCAS Math Grade 3 Exam

MCAS Grade 3 Mathematics is Massachusetts's spring, mostly computer-based state test, given in two sessions and covering multiplication and division, fractions, area and perimeter, time, data and geometry across five reporting categories, with results reported on four achievement levels.

Sample MCAS Math Grade 3 Practice Questions

Try these sample questions to test your MCAS Math Grade 3 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A teacher wrote a word problem that could be solved using the expression 8 × 2. Which word problem matches this expression?
A.There were 8 baskets with 2 apples in each basket. How many apples are there in all?
B.There were 8 apples divided equally between 2 baskets. How many apples are in each basket?
C.There were 8 apples in a basket and 2 more were added. How many apples are there now?
D.There were 8 apples in a basket and 2 were used. How many apples are left?
Explanation: Multiplication means equal groups. 8 groups of 2 (8 baskets with 2 apples each) is exactly 8 × 2 = 16. The total of equal groups is found by multiplying.
2There are 87 cars in a large parking lot and 42 cars in a small parking lot. Which expression has a sum closest to the total number of cars in both lots?
A.90 + 40
B.80 + 40
C.90 + 50
D.100 + 50
Explanation: Round each number to the nearest ten: 87 rounds to 90 and 42 rounds to 40. So 90 + 40 = 130 is closest to the exact total of 87 + 42 = 129.
3A division equation is shown: 70 ÷ 10 = ?. Which multiplication equation could be used to help solve it?
A.10 × ? = 70
B.? = 10 × 70
C.10 = ? × 7
D.? × 10 = 7
Explanation: Division and multiplication are inverse operations. 70 ÷ 10 asks how many tens make 70, which is the same as 10 × ? = 70. Since 10 × 7 = 70, the answer is 7.
4Taylor drew a rectangle with a length of 8 cm and a width of 4 cm. What is the area of the rectangle in square centimeters?
A.32 square centimeters
B.12 square centimeters
C.24 square centimeters
D.16 square centimeters
Explanation: Area of a rectangle equals length times width. 8 cm × 4 cm = 32 square centimeters. Area counts the unit squares that fill the rectangle.
5Taylor's rectangle has a length of 8 cm and a width of 4 cm. What is the perimeter of the rectangle in centimeters?
A.24 centimeters
B.32 centimeters
C.12 centimeters
D.16 centimeters
Explanation: Perimeter is the distance around the rectangle: add all four sides. 8 + 4 + 8 + 4 = 24 centimeters, or 2 × (8 + 4) = 24.
6A puppy weighed 4 kilograms when it was five weeks old. Now it weighs 19 kilograms more than it did then. How much does the puppy weigh now?
A.23 kilograms
B.15 kilograms
C.19 kilograms
D.28 kilograms
Explanation: The phrase 'more than' means add. 4 kg + 19 kg = 23 kilograms is the puppy's current weight.
7The price of a computer, rounded to the nearest hundred, is $500. Which amount could be the actual price of the computer?
A.$482
B.$557
C.$427
D.$449
Explanation: A number rounds to 500 if it is at least 450 and less than 550. $482 falls in that range, so it rounds to $500.
8A figure is divided into six equal parts. What fraction of the total area of the figure is one part?
A.1/6
B.0/6
C.3/6
D.6/6
Explanation: When a whole is split into 6 equal parts, each part is one of those six, written as the unit fraction 1/6. The bottom number tells how many equal parts make the whole.
9Which fraction is equivalent to the whole number 2?
A.2/1
B.0/2
C.1/2
D.2/2
Explanation: A fraction equals a whole number when the top divided by the bottom gives that number. 2/1 = 2 ÷ 1 = 2, so 2/1 is equivalent to 2.
10A picture graph shows favorite coloring tools, where each symbol stands for 3 students. Chalk has 3 symbols and paint has 1 symbol. How many fewer students chose paint than chose chalk?
A.6
B.1
C.2
D.9
Explanation: Each symbol equals 3 students, so chalk = 3 × 3 = 9 students and paint = 1 × 3 = 3 students. The difference is 9 − 3 = 6 fewer students chose paint.

About the MCAS Math Grade 3 Exam

MCAS Grade 3 Mathematics is part of the Massachusetts Comprehensive Assessment System, the state's accountability testing program aligned to the 2017 Massachusetts Curriculum Framework for Mathematics. Third graders take the test in the spring, primarily on computer, with a paper-based version available as an accommodation. The test is built around the same five framework domains used as MCAS reporting categories: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations—Fractions, Measurement and Data, and Geometry. Grade 3 emphasizes understanding multiplication and division within 100, developing an understanding of fractions as numbers, relating area to multiplication and addition, telling time and reading scaled graphs, and reasoning about the attributes of two-dimensional shapes. The test is delivered in two sessions containing multiple-choice, multiple-select, short-answer, and constructed-response questions. No calculators are permitted in grade 3, and each student is provided with a ruler. Results are reported across four achievement levels, with Meeting Expectations as the grade-level target.

Questions

36 scored questions

Time Limit

Untimed; each of the two grade 3 Mathematics sessions is designed to take about 45 to 60 minutes, and students who need additional time may continue working.

Passing Score

Reported on four achievement levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations. Meeting Expectations represents grade-level performance.

Exam Fee

Free to students and families; the MCAS is a state-funded assessment administered by Massachusetts public schools. (Massachusetts Department of Elementary and Secondary Education (DESE), with test delivery by Cognia)

MCAS Math Grade 3 Exam Content Outline

approx 35-40%

Operations and Algebraic Thinking

Multiplication and division within 100, equal groups and arrays, properties of operations, two-step word problems, missing numbers, true/false equations, and number patterns.

approx 10-15%

Number and Operations in Base Ten

Place value of three- and four-digit numbers, rounding to the nearest 10 and 100, adding and subtracting within 1,000, and multiplying by multiples of 10.

approx 20-25%

Number and Operations—Fractions

Unit fractions, fractions as numbers on a number line, equivalent fractions with models, comparing fractions, and whole numbers as fractions.

approx 20-25%

Measurement and Data

Time and elapsed time, liquid volume and mass, area as unit squares, perimeter, relating area to multiplication, and reading scaled bar graphs, picture graphs and line plots.

approx 5-10%

Geometry

Shape categories and attributes, quadrilaterals, lines of symmetry, and partitioning shapes into equal areas expressed as unit fractions.

How to Pass the MCAS Math Grade 3 Exam

What You Need to Know

  • Passing score: Reported on four achievement levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations. Meeting Expectations represents grade-level performance.
  • Exam length: 36 questions
  • Time limit: Untimed; each of the two grade 3 Mathematics sessions is designed to take about 45 to 60 minutes, and students who need additional time may continue working.
  • Exam fee: Free to students and families; the MCAS is a state-funded assessment administered by Massachusetts public schools.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

MCAS Math Grade 3 Study Tips from Top Performers

1Practice multiplication and division facts within 100 until they are automatic, since Operations and Algebraic Thinking is the largest reporting category.
2Use number lines and area models to make fractions and equivalent fractions concrete instead of memorizing rules.
3Master rounding to the nearest 10 and 100 by checking the digit just to the right of the rounding place.
4Connect area to multiplication by counting unit squares and multiplying length by width, then practice perimeter by adding all four sides.
5Drill elapsed-time problems on a clock, since grade 3 time problems stay within whole and half hours and minutes.
6Read each bar graph, picture graph and line plot carefully, noting the scale or key before answering, because grade 3 graphs are scaled.

Frequently Asked Questions

What is the MCAS Grade 3 Mathematics test?

It is Massachusetts's state mathematics test for third graders, part of the Massachusetts Comprehensive Assessment System (MCAS) and aligned to the 2017 Massachusetts Curriculum Framework for Mathematics. Most students take it on computer in the spring.

What math topics are on the Grade 3 MCAS?

The test covers multiplication and division within 100, place value and addition/subtraction within 1,000, fractions as numbers, area and perimeter, telling time and elapsed time, measurement, reading graphs, and the attributes of two-dimensional shapes.

How is the Grade 3 MCAS Math test organized?

Questions are reported under five categories that match the framework domains: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations—Fractions, Measurement and Data, and Geometry. The test is given in two sessions.

How many questions are on the Grade 3 MCAS Math test?

Each grade 3 Mathematics administration has roughly 30 to 36 scored items across two sessions, including multiple-choice, multiple-select, short-answer and constructed-response questions, plus a few unscored field-test items.

How long do students have to take the test?

MCAS sessions are untimed. Each grade 3 Mathematics session is designed to be completed in about 45 to 60 minutes, but students who need more time may continue working.

How is the Grade 3 MCAS Math test scored?

Scores are reported in four achievement levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations. Meeting Expectations is the grade-level target. No calculators are allowed in grade 3.