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.

5. Test

Connecticut Smarter Balanced Math Practice Questions

A 10-question Connecticut Smarter Balanced Math practice set on data, probability, and problem solving, 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

What is the mean of 6, 8, 10, and 12?

Please select an answer first.

Correct answer: A

The correct answer is 9.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The sum is 36, and 36 divided by 4 equals 9.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The sum is 36, and 36 divided by 4 equals 9.

2. QuestionMultiple choice

What is the median of 3, 5, 8, 11, and 14?

Please select an answer first.

Correct answer: B

The correct answer is 8.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The ordered list has 8 in the middle position.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The ordered list has 8 in the middle position.

3. QuestionMultiple choice

A bag contains 3 red, 2 blue, and 5 green tiles. What is the probability of choosing blue?

Please select an answer first.

Correct answer: C

The correct answer is 1/5.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: There are 2 blue tiles out of 10 total, so 2/10 simplifies to 1/5.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

There are 2 blue tiles out of 10 total, so 2/10 simplifies to 1/5.

4. QuestionMultiple choice

A survey of 40 students shows that 18 prefer apples. What percent prefer apples?

Please select an answer first.

Correct answer: D

The correct answer is 45 percent.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The fraction is 18/40 = 0.45, which is 45 percent.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The fraction is 18/40 = 0.45, which is 45 percent.

5. QuestionMultiple choice

A scatter plot shows that study time generally increases as test scores increase. What type of association is shown?

Please select an answer first.

Correct answer: A

The correct answer is Positive association.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: When one variable tends to increase as the other increases, the association is positive.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

When one variable tends to increase as the other increases, the association is positive.

6. QuestionMultiple choice

A line plot shows data values 2, 2, 3, 5, and 8. What is the range?

Please select an answer first.

Correct answer: B

The correct answer is 6.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Range equals the greatest value minus the least value: 8 − 2 = 6.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Range equals the greatest value minus the least value: 8 − 2 = 6.

7. QuestionMultiple choice

A spinner has 4 equal sections labeled 1, 2, 3, and 4. What is the probability of landing on an even number?

Please select an answer first.

Correct answer: C

The correct answer is 1/2.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Two of the four sections, 2 and 4, are even, so the probability is 2/4 or 1/2.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Two of the four sections, 2 and 4, are even, so the probability is 2/4 or 1/2.

8. QuestionMultiple choice

A student answers 42 of 50 questions correctly. What percentage is correct?

Please select an answer first.

Correct answer: D

The correct answer is 84 percent.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The proportion is 42 ÷ 50 = 0.84, or 84 percent.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The proportion is 42 ÷ 50 = 0.84, or 84 percent.

9. QuestionMultiple choice

A sample is chosen by selecting 5 students randomly from every grade. Why is this sample useful?

Please select an answer first.

Correct answer: A

The correct answer is It represents students from all grades..

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Random selection from every grade gives each grade representation in the sample.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Random selection from every grade gives each grade representation in the sample.

10. QuestionMultiple choice

A project has a budget of 120 units. Supplies cost 68 units and printing costs 27 units. How much remains?

Please select an answer first.

Correct answer: B

The correct answer is 25 units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Subtract both costs from the budget: 120 − 68 − 27 = 25 units.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Subtract both costs from the budget: 120 − 68 − 27 = 25 units.

Previous testNext test

Choose your next study path

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.