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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 geometry and measurement, 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 rectangle is 12 units long and 5 units wide. What is its area?

Please select an answer first.

Correct answer: A

The correct answer is 60 square units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Area equals length times width: 12 × 5 = 60 square units.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Area equals length times width: 12 × 5 = 60 square units.

2. QuestionMultiple choice

A triangle has base 10 units and height 6 units. What is its area?

Please select an answer first.

Correct answer: B

The correct answer is 30 square units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Triangle area equals one-half times base times height: 1/2 × 10 × 6 = 30.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Triangle area equals one-half times base times height: 1/2 × 10 × 6 = 30.

3. QuestionMultiple choice

What is the circumference of a circle with radius 4 units? Use 3.14 for pi.

Please select an answer first.

Correct answer: C

The correct answer is 25.12 units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Circumference equals 2 × 3.14 × 4 = 25.12 units.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Circumference equals 2 × 3.14 × 4 = 25.12 units.

4. QuestionMultiple choice

A rectangular prism measures 4 units by 3 units by 2 units. What is its volume?

Please select an answer first.

Correct answer: D

The correct answer is 24 cubic units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Volume equals length times width times height: 4 × 3 × 2 = 24 cubic units.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Volume equals length times width times height: 4 × 3 × 2 = 24 cubic units.

5. QuestionMultiple choice

Two angles are supplementary. One angle measures 115 degrees. What is the other angle?

Please select an answer first.

Correct answer: A

The correct answer is 65 degrees.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Supplementary angles sum to 180 degrees, so 180 − 115 = 65 degrees.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Supplementary angles sum to 180 degrees, so 180 − 115 = 65 degrees.

6. QuestionMultiple choice

A point is reflected across the x-axis. What happens to its coordinates?

Please select an answer first.

Correct answer: B

The correct answer is The x-coordinate stays the same and the y-coordinate changes sign..

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Reflection across the x-axis maps (x, y) to (x, −y).
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Reflection across the x-axis maps (x, y) to (x, −y).

7. QuestionMultiple choice

A right triangle has legs of 6 and 8 units. What is the hypotenuse?

Please select an answer first.

Correct answer: C

The correct answer is 10 units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The Pythagorean theorem gives 36 + 64 = 100, whose square root is 10.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The Pythagorean theorem gives 36 + 64 = 100, whose square root is 10.

8. QuestionMultiple choice

A scale drawing uses 1 inch for every 4 feet. A wall is 6 inches on the drawing. What is the actual length?

Please select an answer first.

Correct answer: D

The correct answer is 24 feet.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Multiply 6 inches by 4 feet per inch to get 24 feet.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Multiply 6 inches by 4 feet per inch to get 24 feet.

9. QuestionMultiple choice

What is the distance between (2, 3) and (2, 9) on a coordinate grid?

Please select an answer first.

Correct answer: A

The correct answer is 6 units.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The points have the same x-coordinate, so subtract the y-values: 9 − 3 = 6.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The points have the same x-coordinate, so subtract the y-values: 9 − 3 = 6.

10. QuestionMultiple choice

A rectangular garden has perimeter 50 meters and length 15 meters. What is its width?

Please select an answer first.

Correct answer: B

The correct answer is 10 meters.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Perimeter gives 2(15 + w) = 50, so 15 + w = 25 and w = 10.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Perimeter gives 2(15 + w) = 50, so 15 + w = 25 and w = 10.

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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.