• 40 questions

MCAS Practice Test Grade 5 Math

Forty grade 5 math questions weighted like the MCAS test design, base ten and fractions more than half.

What is the value of 4 × (9 + 6) − 12 ÷ 3?

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

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Unofficial practice questions, not affiliated with the Massachusetts Department of Elementary and Secondary Education. Bank checked October 9, 2026.

The real test: MCAS math, grade 5

Questions
40
Points
54: 34 one-point questions, 2 two-point questions and 4 constructed-response questions worth 4 points each.
Sessions
Two. No calculator is allowed in either session in grades 3 to 6.
Reporting categories
Operations and Algebraic Thinking 15%, Number and Operations in Base Ten 30%, Number and Operations-Fractions 25%, Measurement and Data 20%, Geometry 10%, each
Question types
Multiple choice, multiple select, technology enhanced, short answer and constructed response.
Questions that do not count
Five more 1- or 2-point questions and one more constructed-response question are field test or equating questions.
Results
Four achievement levels: Exceeding, Meeting, Partially Meeting and Not Meeting Expectations.

Checked October 9, 2026 against MCAS Test Information for Grades 3-8 Mathematics and the MCAS achievement level descriptors, Massachusetts Department of Elementary and Secondary Education. Rules change, so confirm with the agency itself before your test.

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Next step MCAS practice in other grades and subjectsNext step: MCAS math, grade 6

All 40 questions

Operations and Algebraic Thinking 6

  • Pattern A starts at 0 and follows the rule "add 4". Pattern B starts at 0 and follows the rule "add 12". How does each term of Pattern B compare with the matching term of Pattern A? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.B.3
  • Pattern X starts at 0 and adds 2 each time. Pattern Y starts at 0 and adds 5 each time. Which ordered pair (x, y) is made from the fourth terms of the two patterns? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.B.3
  • What is the value of 3 × [20 − (4 + 6)] + 5? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.A.1
  • What is the value of 4 × (9 + 6) − 12 ÷ 3? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.A.1
  • Which expression means "subtract 5 from 18, then multiply by 4"? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.A.2
  • Without calculating, how does 5 × (3,472 + 618) compare with 3,472 + 618? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.OA.A.2
Show all 40 questions (34 more)

Number and Operations in Base Ten 12

  • A farmer packs 1,860 eggs into cartons that hold 12 eggs each. How many cartons are filled? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.B.6
  • A ribbon 9.6 meters long is cut into pieces that are each 0.8 meter long. How many pieces are there? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.B.7
  • How does the value of the 3 in 0.36 compare with the value of the 3 in 3.6? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.1
  • In the number 5,548, how does the value of the 5 in the thousands place compare with the value of the 5 in the hundreds place? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.1
  • What is 0.6 × 0.4? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.B.7
  • What is 4.07 × 10³? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.2
  • What is 8.476 rounded to the nearest tenth? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.4
  • What is 14.6 + 3.85? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.B.7
  • What is 327 × 46? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.B.5
  • What is 582 ÷ 10²? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.2
  • Which decimal comparison is true? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.3b
  • Which number is 6 × 10 + 4 × 1 + 3 × (1/10) + 9 × (1/1000)? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NBT.A.3a

Number and Operations: Fractions 10

  • A rectangle is 3/4 foot long and 2/3 foot wide. What is its area? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.4b
  • A student says that 1/2 + 3/8 = 4/10. Which reasoning shows the answer cannot be right? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.A.2
  • A trail is 3 1/2 miles long. Dev ran 2/3 of the trail. How far did he run? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.6
  • Four friends share 7 granola bars equally. How much does each friend get? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.3
  • How many 1/4-pound servings are in 6 pounds of trail mix? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.7
  • Maya walked 3/4 mile before school and 5/8 mile after school. How far did she walk in all? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.A.2
  • What is 2/3 + 3/4? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.A.1
  • What is 3/5 × 20? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.4a
  • What is 4 1/2 − 1 5/6? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.A.1
  • Without multiplying, which statement about 5/4 × 360 is true? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.NF.B.5

Measurement and Data 8

  • A box is packed with 60 unit cubes, with no gaps and no overlaps. What is the volume of the box? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.C.3
  • A dot plot shows the juice in four cups: 1/4 cup, 1/4 cup, 1/2 cup and 1 cup. If the juice is shared equally among the four cups, how much is in each cup? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.B.2
  • A jug holds 2 gallons of lemonade. How many 1-cup servings does it hold? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.A.1
  • A ribbon is 2 meters long. It is cut into pieces that are each 25 centimeters long. How many pieces are there? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.A.1
  • A right rectangular prism is 8 centimeters long, 5 centimeters wide and 3 centimeters high. What is its volume? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.C.5b
  • A solid is made of two right rectangular prisms that do not overlap. One is 5 feet by 2 feet by 2 feet. The other is 3 feet by 2 feet by 4 feet. What is the volume of the solid? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.C.5c
  • The bottom layer of a box holds 15 unit cubes. The box holds 6 layers. What is its volume? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.C.5a
  • How many milliliters are in 4.5 liters? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.MD.A.1

Geometry 4

  • Every parallelogram has two pairs of parallel sides. Which shape is always a parallelogram? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.G.B.3
  • On a town map drawn on a coordinate plane, the library is at (2, 5) and the park is at (2, 9). Each unit is one block. How far apart are they? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.G.A.2
  • To plot the point (3, 7) on a coordinate plane, where do you move from the origin? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.G.A.1
  • Which statement about quadrilaterals is true? Massachusetts Curriculum Framework for Mathematics (2017), grade 5, standard 5.G.B.4

How this list was compiled: Outline: MCAS Test Information for Grades 3-8 Mathematics, Massachusetts Department of Elementary and Secondary Education, https://www.doe.mass.edu/mcas/tdd/testdesign/g3-8-math.docx, linked from Mathematics Test Design and Development, https://www.doe.mass.edu/mcas/tdd/math.html?section=testdesign, read 2026-10-09. Each question names the grade 5 standard it practices in the 2017 Massachusetts Curriculum Framework for Mathematics, https://www.doe.mass.edu/frameworks/math/2017-06.pdf, read 2026-10-09. No released item and no practice test of the department was read. Every answer was checked a second time, and the arithmetic was worked again from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an MCAS test, a released item, a practice test of the department or another practice test.

How it works

Forty original questions for the grade 5 math MCAS, the Massachusetts state test. This is unofficial practice built on the 2017 state framework and the test design. This site is not affiliated with the Massachusetts Department of Elementary and Secondary Education.

Read the full guide

What the grade 5 math MCAS covers

The test design sorts grade 5 into five reporting categories. Number and Operations in Base Ten is the largest at 30 percent: place value, powers of 10, rounding decimals, multi-digit multiplication and division, and decimal arithmetic. Number and Operations-Fractions is 25 percent: unlike denominators, multiplying fractions and dividing with unit fractions. Measurement and Data is 20 percent, mostly unit conversions and volume. Operations and Algebraic Thinking is 15 and Geometry 10. Each share can vary by 5 points.

Standards and checks

Under each answer is the standard it practices in the 2017 Massachusetts framework, such as 5.NF.B.4b for the area of a rectangle with fraction sides. Every answer was checked a second time, and the arithmetic was worked again from the numbers given.

  • Volume is new in grade 5: count unit cubes, multiply length, width and height, and add the volumes of two prisms that do not overlap.

Questions and answers

How many questions are on the grade 5 math MCAS?

The grade 5 design has 40 common questions worth 54 points: 34 worth one point, 2 worth two and 4 constructed-response questions worth four each. Six more are field test or equating questions that do not count toward the score.

Can you use a calculator on the 5th grade math MCAS?

No. Grades 3 to 6 take both sessions without a calculator. Under the state's test design, a calculator is first allowed in grade 7, and only in Session 2.

What are the MCAS achievement levels in grade 5 math?

Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations and Not Meeting Expectations. A student at Meeting Expectations met grade-level expectations. A percent on this page is practice and is not one of the four levels.

Are these released MCAS grade 5 math questions?

No. All 40 were written for this site, and no released item was read to write them. The department's own released questions and practice tests are linked in the box under the questions.

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