Colorado CMAS · Math · Grade 5

Colorado CMAS Grade 5 Math Practice Test

Build Grade 5 Math readiness with five focused 10-question practice sets covering multi-digit operations, fractions, decimals, measurement, volume, data, and geometry.

Grade 5 Math practice sets

This Colorado CMAS Grade 5 Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets offer supplemental practice across multi-digit operations, fractions, decimals, measurement, volume, data, area, and geometry.

Math skills covered

  • Multi-digit multiplication and division, place value, estimation, distributive property, word problems, quotients, and remainders
  • Equivalent fractions, adding and subtracting fractions, multiplying and dividing fractions, mixed numbers, and fraction reasoning
  • Decimal place value, comparing decimals, decimal addition and subtraction, multiplication, division by 10, and numerical expressions
  • Volume, metric conversions, elapsed time, line plots, bar graphs, capacity, multi-step money problems, and data mode
  • Parallelograms, triangle area, complementary angles, perimeter, symmetry, coordinate grids, area models, and inverse operations

How to use this page

Complete one 10-question set at a time. Identify the operation or model, solve carefully, and review every explanation before moving to the next set.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Colorado Department of Education guidance, official CMAS blueprints, accommodations, or testing policies.

For the Colorado assessment hub, visit Colorado State Assessments.

1. Test

Colorado CMAS Grade 5 Math Practice Questions

A 10-question Colorado CMAS Grade 5 Math practice set on multi-digit operations and numerical reasoning, with answers and explanations.

Read each math task carefully, choose one answer, and review the explanation after responding.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 326 × 24?

Please select an answer first.

Correct answer: A

The correct answer is 7,824.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Multiply 326 by 20 and by 4, then add: 6,520 + 1,304 = 7,824.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Multiply 326 by 20 and by 4, then add: 6,520 + 1,304 = 7,824.

2. QuestionMultiple choice

What is 4,536 ÷ 7?

Please select an answer first.

Correct answer: B

The correct answer is 648.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Seven groups of 648 equal 4,536.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Seven groups of 648 equal 4,536.

3. QuestionMultiple choice

A factory makes 245 boxes each day for 18 days. How many boxes does it make?

Please select an answer first.

Correct answer: C

The correct answer is 4,410.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Multiply 245 by 18 to get 4,410 boxes.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Multiply 245 by 18 to get 4,410 boxes.

4. QuestionMultiple choice

What is 68,205 − 29,874?

Please select an answer first.

Correct answer: D

The correct answer is 38,331.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Subtracting 29,874 from 68,205 gives 38,331.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Subtracting 29,874 from 68,205 gives 38,331.

5. QuestionMultiple choice

Which expression is equivalent to 6 × 304?

Please select an answer first.

Correct answer: A

The correct answer is 6 × 300 + 6 × 4.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: The distributive property breaks 304 into 300 and 4.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

The distributive property breaks 304 into 300 and 4.

6. QuestionMultiple choice

A theater has 2,175 seats arranged equally in 15 sections. How many seats are in each section?

Please select an answer first.

Correct answer: B

The correct answer is 145.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Divide 2,175 by 15 to get 145 seats per section.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Divide 2,175 by 15 to get 145 seats per section.

7. QuestionMultiple choice

What is the value of 3 in 4,305,219?

Please select an answer first.

Correct answer: C

The correct answer is 300,000.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: The digit 3 is in the hundred-thousands place.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

The digit 3 is in the hundred-thousands place.

8. QuestionMultiple choice

Which estimate is closest to 498 × 21?

Please select an answer first.

Correct answer: D

The correct answer is 10,000.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: About 500 × 20 = 10,000.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

About 500 × 20 = 10,000.

9. QuestionMultiple choice

A library receives 6,240 books and places them equally on 8 shelves. How many books go on each shelf?

Please select an answer first.

Correct answer: A

The correct answer is 780.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Divide 6,240 by 8 to get 780 books per shelf.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Divide 6,240 by 8 to get 780 books per shelf.

10. QuestionMultiple choice

Which equation shows a quotient of 32 with a remainder of 3?

Please select an answer first.

Correct answer: B

The correct answer is 259 ÷ 8 = 32 R3.

  1. Read the math task: Identify the quantities, operation, fraction, decimal, measurement, data relationship, or shape in the question.
  2. Show the reasoning: Eight groups of 32 use 256, leaving 3 from 259.
  3. Check the answer: Choose the option that matches the calculation, model, or mathematical definition.

Eight groups of 32 use 256, leaving 3 from 259.

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Frequently asked questions about Colorado CMAS Grade 5 Math Practice Test

Which Grade 5 Math skills are covered?

The page covers multi-digit operations, fractions, decimals, measurement, volume, data, area, geometry, coordinates, and mathematical reasoning.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official CMAS questions?

No. These are original supplemental practice questions. Check the latest Colorado Department of Education information for official materials, standards, accommodations, and policies.