• 50 questions

CMAS Practice Test 5th Grade

Fifth grade math for Colorado's CMAS: decimals, fractions and volume, plus reasoning questions and multi-step modeling problems.

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In 60.6, the value of the 6 in the tens place is how many times the value of the 6 in the tenths place?

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

The real test: CMAS math, grade 5

Score points
50 to 51, in four reporting categories.
Major content
23 points, 45 to 46% of the test: place value, decimals and fractions.
Supporting content
8 points, 16%: expressions, patterns, measurement, data, volume and geometry.
Reasoning and modeling
Expressing Mathematical Reasoning 10 to 11 points, 20 to 22%. Modeling and Application 9 points, 18%.
Calculator
None in grades 3 to 5, except as an approved accommodation.
Scores
Scale scores from 650 to 850 in five levels. Grade 5 math: Approached Expectations 725 to 749, Met Expectations 750 to 789, Exceeded Expectations 790 to 850.

Checked October 13, 2026 against the CMAS Grade 5 Mathematics Frameworks, the CMAS calculator policy and CMAS Performance Levels and Policy Claims (May 2026) of the Colorado Department of Education. Rules change, so confirm with the agency itself before your test.

The state's CMAS page, with its practice resources

Next step More grade 5 fractions and decimalsCMAS math for the other grades

All 50 questions with answers

Major content 23

  • A garden bed is 2 1/2 yards long and 1 1/3 yards wide. What is its area? Answer: 3 1/3 square yards. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.6
  • A plant was 7/8 inch tall. Then it grew 2/3 inch. How tall is it now? Answer: 1 13/24 inches. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.A.2
  • A rectangular tile is 2/3 foot long and 1/2 foot wide. What is its area? Answer: 2/6 square foot. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.4.b
  • Four hikers share 11 liters of water equally. How many liters does each hiker get? Answer: 2 3/4. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.3
  • In 60.6, the value of the 6 in the tens place is how many times the value of the 6 in the tenths place? Answer: 100 times. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.1
Show all 50 questions (45 more)

Major content, continued

  • Kim has 1 7/8 yards of ribbon and uses 11/12 yard. Which is the best estimate of the amount left? Answer: About 1 yard. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.A.2
  • What is 0.4 × 2.75? Answer: 1.1. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.7
  • What is 1/2 + 2/5 + 3/4? Answer: 33/20. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.A.1
  • What is 1/8 ÷ 3? Answer: 1/24. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.7.a
  • What is 3/8 × 12? Answer: 4 1/2. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.4.a
  • What is 5/8 × 3/7? Answer: 15/56. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.4.a
  • What is 6 1/3 − 2 3/4? Answer: 3 7/12. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.A.1
  • What is 9.6 ÷ 0.8? Answer: 12. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.7
  • What is 24.996 rounded to the nearest hundredth? Answer: 25.00. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.4
  • What is 36.08 + 7.5? Answer: 43.58. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.7
  • What is 38 × 2,609? Answer: 99,142. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.5
  • What is 50 − 16.37? Answer: 33.63. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.7
  • What is 4,736 ÷ 64? Answer: 74. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.B.6
  • Which expression is equal to 720,000? Answer: 72 × 10⁴. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.2
  • Which fraction is equal to 7 ÷ 12? Answer: 7/12. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.3
  • Which is 204.019 in word form? Answer: two hundred four and nineteen thousandths. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.3.a
  • Which list has the four decimals in order from least to greatest? Answer: 0.089, 0.5, 0.508, 0.52. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NBT.A.3.b
  • Without multiplying, which statement about 5/4 × 876 is true? Answer: It is greater than 876, because 5/4 is greater than 1. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 5.NF.B.5.a

Supporting content 8

  • A line plot shows the weights of 5 bags of nuts: 1/4, 1/4, 1/2, 3/4 and 3/4 pound. The nuts are combined and then shared equally among the 5 bags. How much is in each bag? Answer: 1/2 pound. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.MD.B.2
  • A recipe needs 2 quarts of broth. Lee has 3 cups in one jar and 1 pint in another. How many more cups does he need? Answer: 3 cups. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.MD.A.1; unit sizes: NIST Handbook 44 (2026), Appendix C, General Tables of Units of Measurement
  • A rectangular prism has a base area of 24 square inches and a height of 7 inches. What is its volume? Answer: 168 cubic inches. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.MD.C.5.b
  • Colorado's test defines a trapezoid as a quadrilateral with at least one pair of parallel sides. Under that definition, which shapes are all trapezoids? Answer: Parallelograms. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.G.B.4; limit or definition: CMAS Grade 5 Mathematics Evidence Statements, 5.G.3 and 5.G.4
  • How does 4 × (7,310 + 286) compare with 7,310 + 286? Answer: It is 4 times as large. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.OA.A.2
  • On a coordinate grid, the x-coordinate is the number of hours worked and the y-coordinate is the number of dollars earned. What does the point (3, 45) mean? Answer: $45 is earned in 3 hours. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.G.A.2
  • Pattern A starts at 0 and adds 2 each time. Pattern B starts at 0 and adds 8 each time. How do the terms of Pattern B compare with the matching terms of Pattern A? Answer: Each is 4 times the Pattern A term. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.OA.B.3
  • What is the value of 2 × [7 + (18 ÷ 3)]? Answer: 26. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 5.OA.A.1; limit or definition: CMAS Grade 5 Mathematics Evidence Statements, 5.OA.1

Reasoning 10

  • A box is 4 units long, 3 units wide and 5 units high. Jay finds (4 × 3) × 5 and Kit finds 4 × (3 × 5). Which statement is true? Answer: Both get 60, because regrouping factors keeps the product. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.MD.5a
  • A solid is made of a 5 × 2 × 3 prism and a 4 × 2 × 2 prism. For its volume Sol writes: 5 × 2 × 3 = 30 + 4 × 2 × 2 = 46. What is wrong with his work? Answer: The total is right, but the equals signs join amounts that are not equal. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.MD.5c
  • A square with sides of 1 unit is cut into 4 equal columns and 3 equal rows. A part 3 columns wide and 2 rows tall is shaded. Which product does the shaded part show? Answer: 3/4 × 2/3 = 6/12. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.4b
  • Ava adds 2/3 + 1/4 and writes 3/7. Which shows the correct work? Answer: 8/12 + 3/12 = 11/12. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.1
  • Max says that multiplying a number by a fraction always gives a smaller product. Which example shows he is wrong? Answer: 10 × 3/2 = 15. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.5b
  • Which equation shows why 5 ÷ 8 = 5/8? Answer: 5/8 × 8 = 5. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.3
  • Which expression has the same value as 6 × 4.9? Answer: (6 × 5) − (6 × 0.1). Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NBT.7
  • Which multiplication can be used to check that 1,512 ÷ 36 = 42? Answer: 42 × 36 = 1,512. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NBT.6
  • Why is 0.5 equal to 0.50? Answer: 5 tenths is the same amount as 50 hundredths. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NBT.A
  • Why is 6 ÷ 1/4 equal to 24? Answer: Because 24 × 1/4 = 6. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, on the content of 5.NF.7

Modeling 9

  • A baker uses 3/4 pound of butter for each cake and 1/2 pound for each batch of cookies. She makes 4 cakes and 3 batches of cookies from 6 pounds of butter. How much butter is left? Answer: 1 1/2 pounds. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NF.6
  • A car uses 0.05 gallon of gas for each mile. Dana drives 36 miles a day for 5 days. Gas costs $3 a gallon. What does the gas for the 5 days cost? Answer: $27. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NBT.7
  • A hiker walks 2 3/8 miles before lunch and 1 7/8 miles after lunch. She planned to walk 6 miles. How many miles does she still have to walk? Answer: 1 6/8 miles. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.NF
  • A planter box is 6 feet long, 2 feet wide and 3 feet deep. It is filled to the top with soil that is sold in bags of 4 cubic feet for $5.50 a bag. What does the soil cost? Answer: $49.50. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.MD.5b
  • A rectangular yard is 18 meters long and 12 meters wide. Fence costs $9 a meter. A gate 2 meters wide needs no fence. What does the fence cost? Answer: $522. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.MD
  • A ribbon is 5 yards long. Jen cuts off 2 yards for a bow and cuts the rest into pieces that are each 1/4 yard long. She uses 8 of the pieces. How many pieces are left? Answer: 4. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NF.7
  • A school orders 28 boxes of pencils with 144 pencils in each box. It sets 12 boxes aside for the office. The pencils in the other boxes are shared equally among 36 classrooms. How many pencils does each classroom get? Answer: 64. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NBT.6
  • A van holds 7 riders. 150 students and 12 adults are going on a trip, and the adults ride in the vans too. How many vans are needed? Answer: 24. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 4.OA
  • Tickets cost $7.25 for an adult and $4.50 for a child. A family buys 2 adult tickets and 3 child tickets and pays with two $20 bills. How much change does the family get? Answer: $12.00. Source: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, on the content of 5.NBT.7

How this list was compiled: Outline and standards: CMAS Grade 5 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/dd8dcd5b-5b9e-4930-9de2-0326ae9b8021, and CMAS Grade 5 Mathematics Evidence Statements, https://ed.cde.state.co.us/fs/resource-manager/view/25399d52-de95-4b64-acca-901fa7999829, both linked from CMAS Test Design, https://ed.cde.state.co.us/assessment/cmas-testdesign. The framework lists the evidence outcomes of the Colorado Academic Standards that the test may ask and the score points of each reporting category; the evidence statements give the limits on numbers and the definition of a trapezoid. Calculator rule: Calculator Policy for Calculator Units and Sections of CMAS Mathematics Assessments, https://ed.cde.state.co.us/fs/resource-manager/view/a0c6675f-d4e5-4752-a9b2-3c9dc7e719a4. Unit sizes in one measurement question: NIST Handbook 44 (2026), Appendix C, General Tables of Units of Measurement, https://www.nist.gov/document/2026-nist-handbook-44-appendix-c. All read 2026-10-13. Each question names the reporting category and the outcome it practices. Every numeric answer is arithmetic on the numbers in the question, worked a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a CMAS test, a released or sample item, a Colorado Practice Resource, an example in the standards or evidence statements, or another practice test.

How it works

Unofficial practice for 5th grade math on CMAS, the Colorado Measures of Academic Success: 50 questions written from the state's grade 5 framework and evidence statements. None is a state item. Not affiliated with the Colorado Department of Education.

Read the full guide

What 5th grade CMAS math covers

Colorado's grade 5 framework splits 50 to 51 score points among four reporting categories, and this set has one question for each of 50 points. Major content has 23: place value, decimal arithmetic, and adding, multiplying and dividing fractions. Supporting content has 8: expressions, patterns, unit conversion, line plots, volume and the coordinate plane. Reasoning has 10, which ask why a method works or where worked steps go wrong. Modeling has 9 word problems of three steps or more.

  • Colorado's evidence statements define a trapezoid as a quadrilateral with at least one pair of parallel sides, so every parallelogram counts as one.

Questions and answers

Is this the state's CMAS practice test for 5th grade?

No. It is unofficial practice written for this site, and nothing here is copied from the state. The Colorado Department of Education lists its own CMAS Practice Resources on its CMAS page.

Can 5th graders use a calculator on CMAS math?

No. The state's calculator policy allows none in grades 3 to 5, except as an approved accommodation. Five-function calculators begin in grade 6.

What is a good score on 5th grade CMAS math?

Scale scores run from 650 to 850 in five performance levels. For grade 5 math, Met Expectations is 750 to 789 and Exceeded Expectations is 790 to 850. The state counts both as on track for college and career.

Which CMAS tests do fifth graders take?

Math, English language arts and science. This page is math only. Grade 5 is one of the three grades, with 8 and 11, that take CMAS science.

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