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Connecticut State Assessments · Smarter Balanced · Math

Connecticut Smarter Balanced Math Practice Test: Grades 3–8

Build number sense, algebra, geometry, data, probability, and problem-solving skills with five focused 10-question Connecticut Smarter Balanced Math practice sets.

Connecticut Smarter Balanced Math practice sets

This Connecticut Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover number and operations, ratios, expressions, equations, functions, geometry, measurement, data, probability, and multi-step problem solving for Grades 3–8.

Skills covered

  • Multiplication, rounding, equivalent fractions, decimals, prime numbers, unit conversions, common multiples, and fraction operations
  • Ratios, scale drawings, expressions, percent change, proportions, unit rates, and the distributive property
  • Equations, inequalities, slope, ordered pairs, functions, real-world rules, and sequences
  • Area, volume, circumference, supplementary angles, coordinate reflections, the Pythagorean theorem, scale, distance, and perimeter
  • Mean, median, probability, percentages, scatter plots, range, representative samples, and multi-step budgets

How to use this page

Complete one 10-question set at a time. Write each step, estimate when useful, and check your answer with an inverse operation, a diagram, a table, or another representation.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Connecticut State Department of Education guidance, official Smarter Balanced materials, accommodations, or testing policies.

For the Connecticut assessment hub, visit Connecticut State Assessments.

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Connecticut Smarter Balanced Math Practice Questions

A 10-question Connecticut Smarter Balanced Math practice set on ratios, proportions, and expressions, with answers and explanations.

Read each task carefully, choose one answer, and review the calculation or reasoning after responding.

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

A class has 12 red folders and 8 blue folders. What is the ratio of red folders to blue folders in simplest form?

Please select an answer first.

Correct answer: A

The correct answer is 3:2.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Dividing both parts of 12:8 by 4 gives 3:2.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Dividing both parts of 12:8 by 4 gives 3:2.

2. QuestionMultiple choice

A map scale shows 1 centimeter represents 5 kilometers. How far does 4 centimeters represent?

Please select an answer first.

Correct answer: B

The correct answer is 20 kilometers.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Multiply 4 centimeters by 5 kilometers per centimeter to get 20 kilometers.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Multiply 4 centimeters by 5 kilometers per centimeter to get 20 kilometers.

3. QuestionMultiple choice

Which expression represents 5 more than 3n?

Please select an answer first.

Correct answer: C

The correct answer is 3n + 5.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The phrase 5 more than 3n means add 5 to 3n.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The phrase 5 more than 3n means add 5 to 3n.

4. QuestionMultiple choice

A shirt costs 32 units and is discounted by 25 percent. What is the sale price?

Please select an answer first.

Correct answer: D

The correct answer is 24 units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Twenty-five percent of 32 is 8, so the sale price is 32 − 8 = 24 units.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Twenty-five percent of 32 is 8, so the sale price is 32 − 8 = 24 units.

5. QuestionMultiple choice

A recipe uses 2 cups of flour for every 3 cups of oats. How much flour is needed for 9 cups of oats?

Please select an answer first.

Correct answer: A

The correct answer is 6 cups.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Nine cups of oats is three groups of 3, so flour is 3 × 2 = 6 cups.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Nine cups of oats is three groups of 3, so flour is 3 × 2 = 6 cups.

6. QuestionMultiple choice

Evaluate 2a + 7 when a = 5.

Please select an answer first.

Correct answer: B

The correct answer is 17.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Substitute 5 for a: 2(5) + 7 = 17.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Substitute 5 for a: 2(5) + 7 = 17.

7. QuestionMultiple choice

A price rises from 50 units to 60 units. What is the percent increase?

Please select an answer first.

Correct answer: C

The correct answer is 20 percent.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The increase is 10, and 10 divided by 50 equals 0.20, or 20 percent.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The increase is 10, and 10 divided by 50 equals 0.20, or 20 percent.

8. QuestionMultiple choice

Which equation represents a proportional relationship with constant of proportionality 4?

Please select an answer first.

Correct answer: D

The correct answer is y = 4x.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: A proportional relationship with constant 4 has the form y = 4x.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

A proportional relationship with constant 4 has the form y = 4x.

9. QuestionMultiple choice

A store sells 5 notebooks for 15 units. What is the unit rate?

Please select an answer first.

Correct answer: A

The correct answer is 3 units per notebook.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Divide 15 units by 5 notebooks to get 3 units per notebook.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Divide 15 units by 5 notebooks to get 3 units per notebook.

10. QuestionMultiple choice

Simplify 4(2x + 3).

Please select an answer first.

Correct answer: B

The correct answer is 8x + 12.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Distribute 4 to both terms: 4 × 2x + 4 × 3 = 8x + 12.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Distribute 4 to both terms: 4 × 2x + 4 × 3 = 8x + 12.

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Frequently asked questions about Connecticut Smarter Balanced Math Practice

Which math skills are covered?

The page covers number and operations, ratios, algebra, equations, functions, geometry, measurement, data, probability, and problem solving for Grades 3–8.

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 Smarter Balanced questions?

No. These are original supplemental practice questions. Check the latest Connecticut State Department of Education and Smarter Balanced information for official materials, accommodations, and policies.