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CMAS Practice Test 4th Grade

Fourth grade math for Colorado's CMAS: place value, multi-digit arithmetic and fractions, with reasoning and multi-step word problems.

In 88,040, the 8 in the ten-thousands place is worth how many times as much as the 8 in the thousands place?

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 Colorado Department of Education. Bank checked October 13, 2026.

The real test: CMAS math, grade 4

Score points
50 to 51, in four reporting categories.
Major content
24 points, 47 to 48% of the test: place value, multi-digit arithmetic, fractions and decimals.
Supporting content
7 points, 14%: factors, patterns, measurement, line plots, angles and shapes.
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 4 math: Met Expectations 750 to 795, Exceeded Expectations 796 to 850.

Checked October 13, 2026 against the CMAS Grade 4 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 own CMAS practice resources

Next step More grade 4 fractions and place valueCMAS math for the other grades

All 50 questions

Major content 24

  • A bakery packs 150 muffins into boxes of 8. How many boxes does it fill, and how many muffins are left over? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.OA.A.3
  • A hiker walks 7/10 mile before lunch and 6/10 mile after lunch. How far does she walk in all? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.3.d
  • A jar holds 6/10 liter of water. Then 19/100 liter more is poured in. How much water is in the jar now? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.C.5
  • A paper strip has 10 equal parts, and 7 parts are shaded. The shading on 4 of those parts is erased. What fraction of the strip is still shaded? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.3.a
  • A puppy weighs 9 pounds. Its mother weighs 5 times as much as the puppy. How much does the mother weigh? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.OA.A.2
Show all 50 questions (45 more)

Major content, continued

  • A water tank is 3/5 full. Which fraction names the same amount? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.A.1
  • Each of 6 bird feeders holds 3/4 pound of seed. How many pounds of seed fill all 6 feeders? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.4.c
  • In 88,040, the 8 in the ten-thousands place is worth how many times as much as the 8 in the thousands place? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.1
  • On a number line, seven jumps of 3/8 unit each start at 0. Where does the last jump end? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.4.b
  • Three of these statements about decimals are false. Which one is true? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.C.7
  • What are the quotient and the remainder of 3,275 ÷ 4? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.6
  • What is 6 3/8 − 2 7/8? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.3.c
  • What is 7 × 2,418? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.5
  • What is 46 × 53? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.5
  • What is 5,738 + 4,695? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.4
  • What is 8,052 − 2,376? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.B.4
  • What is 264,517 rounded to the nearest ten thousand? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.3
  • Which fraction equals the decimal 0.7? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.C.6
  • Which number is 300,000 + 20,000 + 900 + 7? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.2
  • Which product is equal to 7/3? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.4.a
  • Which statement correctly compares 5/8 with another fraction? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.A.2
  • Which statement correctly compares 518,094 and 518,409? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NBT.A.2
  • Which statement means the same as 56 = 8 × 7? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.OA.A.1
  • Which sum is equal to 7/12? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim A: Major Content, evidence outcome 4.NF.B.3.b

Supporting content 7

  • A bag of potatoes has a mass of 7 kilograms. What is its mass in grams? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.A.1; unit size: NIST Handbook 44 (2026), Appendix C
  • A class sets out 45 chairs in equal rows. Which list shows every factor pair of 45? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.OA.B.4
  • A line plot shows the rain that fell on five days: 1/8, 3/8, 3/8, 5/8 and 7/8 inch. How much rain fell on the two wettest days together? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.B.4
  • A number pattern starts at 7 and follows the rule "add 8". What is the fifth number in the pattern? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.OA.C.5
  • A rectangular garden is 14 meters long and 9 meters wide. How much fence is needed to go all the way around it? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.A.3
  • Lena has $20.00. She buys a notebook for $3.75 and a set of pens for $6.50. How much money does she have left? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.MD.A.2
  • Which set of angles belongs to a right triangle? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim B: Supporting Content, evidence outcome 4.G.A.2

Reasoning 10

  • A fraction strip is cut into 3 equal parts, and 2 parts are shaded. Then every part is cut in half. Which equation does the strip show now? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NF.A
  • A number line starts at 0. A frog makes 7 jumps, and each jump is 1/6 of a unit long. Which equation shows where the frog lands? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NF.4a
  • Dev says 2/4 of a small pizza is the same amount of food as 2/4 of a large pizza. What is wrong with his reasoning? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NF.2
  • Jay says 4,000 ÷ 400 = 10. Which reason shows he is correct? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NBT.A
  • Leo has 6 packs of 4 stickers and 10 loose stickers. He writes 6 × 4 = 24 + 10 = 34. What is wrong with his work? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.OA.3
  • Ria says 0.5 is less than 0.45 because 5 is less than 45. Which statement corrects her? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NF.C
  • Sam says a rectangle 6 units by 7 units and a rectangle 7 units by 6 units have different areas. Which fact shows he is wrong? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 3.MD.C
  • Tia says 952 ÷ 7 = 136. Which multiplication checks her answer? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NBT.6
  • To find 3 1/4 − 1 3/4, Nell first rewrites 3 1/4 as 2 5/4. Why is that allowed? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NF.3c
  • Which expression has the same value as 38 × 25? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim C: Expressing Mathematical Reasoning, content scope 4.NBT.5

Modeling 9

  • A farmer picks 1,250 apples. She keeps 50 and packs the rest into bags of 6. How many bags does she fill? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.NBT.6, 4.OA.3
  • A patio is a rectangle 12 feet long and 9 feet wide. Each tile covers 1 square foot, and tiles are sold in boxes of 10. How many boxes are needed to cover the patio? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.MD.3, 4.OA.3
  • A recipe uses 3/4 cup of oats for each batch of granola. Kim wants to make 5 batches and has 2 cups of oats. How many more cups does she need? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.NF.4c, 4.NF.3d
  • A shelf holds 6 rows of 9 books. On Monday 17 books are checked out, and on Tuesday 8 of them are returned. How many books are on the shelf after Tuesday? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 3.OA.8
  • A theater has 24 rows with 36 seats in each row. For one show, 578 tickets are sold. How many seats are empty? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.NBT.5, 4.OA.3
  • Each of 27 students gets 5 juice boxes. Juice boxes are sold in packs of 8. What is the fewest packs that will be enough? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.OA.3
  • Four friends order 3 pizzas that cost $14 each and a salad that costs $10. They split the bill equally. How much does each friend pay? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.OA.3
  • Rosa saves $15 each week for 8 weeks. She spends $72 of it on a bike helmet and puts the rest into 2 jars, the same amount in each. How much goes into each jar? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 4.OA.3
  • Soccer practice starts at 3:45 p.m. The warm-up lasts 15 minutes, drills last 40 minutes and a practice game lasts 35 minutes. When does practice end? CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), Subclaim D: Modeling and Application, content scope 3.MD

How this list was compiled: Outline and standards: CMAS Grade 4 Mathematics Frameworks (Colorado Department of Education, 2020), https://ed.cde.state.co.us/fs/resource-manager/view/68ae9a1f-4b6b-4fde-ba02-ac42430c3c92, and CMAS Grade 4 Mathematics Evidence Statements, https://ed.cde.state.co.us/fs/resource-manager/view/19ffcdf4-2b05-46b3-b6fd-dd26db428f2b, 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 denominators. 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 size 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 4th grade math on CMAS, the Colorado Measures of Academic Success: 50 questions written for this site from the state's grade 4 framework. None is a state item. Not affiliated with the Colorado Department of Education.

Read the full guide

What 4th grade CMAS math covers

The grade 4 framework divides 50 to 51 score points among four reporting categories, and each of the 50 questions here stands for one point. Major content has 24: place value up to 1,000,000, adding, subtracting, multiplying and dividing large numbers, fractions, decimals to hundredths and "times as many" comparisons. Supporting content has 7: factors, number patterns, units of measure, perimeter, line plots and triangles. Reasoning has 10, which ask why a method works or what is wrong with a worked answer. Modeling has 9 word problems that take more than one step.

  • Fourth grade fraction questions keep to the denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100, by Colorado's evidence statements.

Questions and answers

Where are Colorado's own CMAS practice tests for 4th grade?

On the state's practice site, which the Colorado Department of Education calls the only state-sanctioned CMAS practice resources. It is linked in the box under the questions. Nothing on this page is taken from there.

Can 4th graders use a calculator on CMAS math?

No. Colorado's calculator policy allows none in grades 3 to 5. The one exception is a four-function calculator for a student with an approved accommodation.

What is a good CMAS math score in 4th grade?

Scores run from 650 to 850 in five performance levels. In grade 4 math, Met Expectations is 750 to 795 and Exceeded Expectations is 796 to 850. The state counts both as on track for college and career.

Which CMAS tests do 4th graders take?

Math and English language arts. Science is given in grades 5, 8 and 11 and social studies in grade 7, so fourth grade has neither. This page covers math only.

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