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.

1. Test

Connecticut Smarter Balanced Math Practice Questions

A 10-question Connecticut Smarter Balanced Math practice set on number and operations, 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 value of 7 × 8?

Please select an answer first.

Correct answer: A

The correct answer is 56.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Multiplying 7 groups of 8 gives 56.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Multiplying 7 groups of 8 gives 56.

2. QuestionMultiple choice

What is 3,482 rounded to the nearest hundred?

Please select an answer first.

Correct answer: B

The correct answer is 3,500.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The tens digit is 8, so the hundreds digit increases from 4 to 5.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The tens digit is 8, so the hundreds digit increases from 4 to 5.

3. QuestionMultiple choice

Which fraction is equivalent to 3/4?

Please select an answer first.

Correct answer: C

The correct answer is 6/8.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Multiplying both numerator and denominator by 2 gives 6/8.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Multiplying both numerator and denominator by 2 gives 6/8.

4. QuestionMultiple choice

A student has 2.5 liters of water and uses 0.75 liters. How much remains?

Please select an answer first.

Correct answer: D

The correct answer is 1.75 liters.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Subtracting 0.75 from 2.50 gives 1.75 liters.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Subtracting 0.75 from 2.50 gives 1.75 liters.

5. QuestionMultiple choice

Which number is prime?

Please select an answer first.

Correct answer: A

The correct answer is 29.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: 29 has no positive factors other than 1 and 29.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

29 has no positive factors other than 1 and 29.

6. QuestionMultiple choice

What is 5/6 − 1/3?

Please select an answer first.

Correct answer: B

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: Rewrite 1/3 as 2/6, then subtract from 5/6 to get 3/6, or 1/2.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Rewrite 1/3 as 2/6, then subtract from 5/6 to get 3/6, or 1/2.

7. QuestionMultiple choice

A package weighs 4.2 kilograms. How many grams is that?

Please select an answer first.

Correct answer: C

The correct answer is 4,200 grams.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: One kilogram equals 1,000 grams, so 4.2 kilograms equals 4,200 grams.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

One kilogram equals 1,000 grams, so 4.2 kilograms equals 4,200 grams.

8. QuestionMultiple choice

Which expression has the same value as 48 ÷ 6?

Please select an answer first.

Correct answer: D

The correct answer is 4 × 2.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Both 48 ÷ 6 and 4 × 2 equal 8.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Both 48 ÷ 6 and 4 × 2 equal 8.

9. QuestionMultiple choice

What is the least common multiple of 4 and 6?

Please select an answer first.

Correct answer: A

The correct answer is 12.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The first positive number shared by the multiples of 4 and 6 is 12.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The first positive number shared by the multiples of 4 and 6 is 12.

10. QuestionMultiple choice

A recipe uses 3/4 cup of oats for one batch. How many cups are needed for 2 batches?

Please select an answer first.

Correct answer: B

The correct answer is 1 1/2 cups.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Multiplying 3/4 by 2 gives 6/4, which is 1 1/2 cups.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Multiplying 3/4 by 2 gives 6/4, which is 1 1/2 cups.

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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.