Smarter Balanced Practice Test PDF 4th Grade Math

Fourth grade math by the Smarter Balanced blueprint: print the questions with their answer key, or answer on screen.

  1. 1.Maya has 7 stickers. Leo has 4 times as many stickers as Maya. How many stickers does Leo have?
  2. 2.A bakery packs 156 rolls into bags of 8. After as many full bags as possible are packed, how many rolls are left over?
  3. 3.A dog weighs 48 pounds. That is 6 times as much as a cat weighs. How much does the cat weigh?
  4. 4.A class of 26 students and 4 adults visits a museum. A ticket costs $6 for each person, and the bus costs $35. What is the total cost?
  5. 5.What is 7,052 − 2,486?
  6. 6.What is 28 × 64?
  7. 7.What is 2,418 ÷ 6?
  8. 8.What is 5,286 + 3,947?
  9. 9.A ribbon is 3/4 yard long. Which fraction names the same length?
  10. 10.Which of these fractions is between 1/2 and 1?
  11. 11.Which list shows 3/4, 1/2 and 5/8 in order from least to greatest?
  12. 12.Which sum is another way to write 7/8?
  13. 13.What is 4 × 3/5?
  14. 14.What is 4 1/5 − 1 3/5?
  15. 15.The digit 3 appears twice in 3,385. The 3 on the left is worth how many times as much as the 3 beside it?
  16. 16.What is 648,365 rounded to the nearest ten thousand?
  17. 17.Which decimal is equal to 9/100?
  18. 18.Lena writes four statements about decimals. Which one is true?
  19. 19.One hour is 60 minutes. A movie lasts 2 hours 15 minutes. How many minutes does it last?
  20. 20.A garden bed is a rectangle with an area of 54 square feet. It is 6 feet wide. How long is it?
  21. 21.A large angle measures 110°. A line through its corner splits it into two smaller angles, and one of them measures 35°. What does the other measure?
  22. 22.Which number has exactly two factors?
  23. 23.A line plot shows the lengths of 8 leaves. Three leaves are 2 1/4 inches long, four are 2 1/2 inches and one is 3 inches. What is the difference between the longest leaf and the shortest?
  24. 24.Which shape always has four right angles?
  25. 25.A cook buys 4 bags of rice at $7 each and 6 cans of beans at $2 each. She pays with a $50 bill. How much change does she get?
  26. 26.A florist has 110 roses and makes bouquets of 9 roses. Each full bouquet sells for $20. How much money do the full bouquets bring in?
  27. 27.A rectangular playground is 40 meters long and 25 meters wide. Ana runs around its edge 3 times. How far does she run?
  28. 28.Sam reads 25 pages on each school day, Monday to Friday, and 40 pages on each weekend day. How many pages does he read in 2 weeks?
  29. 29.Paint comes in 4-liter cans, and a job needs 30 liters. Ali divides 30 by 4 and gets 7 with a remainder of 2. How many cans must he buy?
  30. 30.Jon had some marbles. He gave 14 away and then had 29 left. Which equation matches the story, if m is the number he started with?
  31. 31.Lia has 3 times as many shells as Ben. Together they have 48 shells. How many shells does Ben have?
  32. 32.A library has 5 bookcases. Each bookcase has 6 shelves, and each shelf holds 32 books. How many books do the bookcases hold in all?
  33. 33.A water tank holds 500 liters. A family uses 65 liters each day. How many liters are left after 7 days?
  34. 34.Jay has $20, and notebooks cost $3 each. He divides 20 by 3 and gets 6 with a remainder of 2. What does the remainder mean?
  35. 35.To estimate 398 + 211, Kim rounds each number to the nearest hundred and adds. What is her estimate, and how close is it to the exact sum?
  36. 36.A baker makes 5 trays of 12 muffins and packs them in boxes of 4. Which expression gives the number of boxes?
  37. 37.Abe says, "If a number is even, then half of it is even too." Which number shows that Abe is wrong?
  38. 38.Ray says, "When you multiply two whole numbers that are both greater than 1, the answer is never a prime number." Is he right?
  39. 39.Why is the product of an even number and any whole number always even?
  40. 40.Cole says, "The fraction with the bigger denominator is always the bigger fraction." Which pair of fractions shows that he is wrong?
  41. 41.Ned finds 34 × 20 by working out 34 × 2 = 68, and he writes 68 as his answer. What did he forget?
  42. 42.Ida adds 3/10 + 4/100 and writes 7/110. What should she do?
  43. 43.Which statement explains why 2/3 and 8/12 are equal?
  44. 44.A rectangle has a perimeter of 20 centimeters and a length of 7 centimeters. Kai says its width must be 3 centimeters. Is he right?
  45. 45.Mia has 1/2 of a small pizza and Ty has 1/2 of a large pizza. Mia says, "We have the same amount, because 1/2 = 1/2." When would she be right?
  46. 46.A number line from 0 to 1 is marked in fourths. Where is 3/4 compared with 1/2?
  47. 47.A pattern starts at 3 and follows the rule "add 4": 3, 7, 11, 15. Why is every number in the pattern odd?
  48. 48.A whole number is rounded to the nearest ten, and the result is 40. Which list gives every number it could have been?
Maya has 7 stickers. Leo has 4 times as many stickers as Maya. How many stickers does Leo have?

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Unofficial practice questions, not affiliated with the Smarter Balanced Assessment Consortium. Bank checked October 7, 2026.

The real test: Smarter Balanced math, grade 4

Parts
A computer adaptive test and one performance task of 4 to 6 items.
Items by claim
Concepts and Procedures 17 to 20; Problem Solving with Modeling and Data Analysis 8 to 10; Communicating Reasoning 8 to 10. Grades 3 to 5 table.
Grade 4 targets
Whole-number problems, multi-digit arithmetic and equivalent fractions 8 or 9 items; building fractions 2 or 3; measurement and angles 2 or 3.
Calculator
None. The grades 3 to 5 mathematics tests do not allow a calculator.
Time
Untimed. Estimate for grades 3 to 5 mathematics: 2 hours 30 minutes, of which 1 hour is the performance task.
Scores
Four achievement levels, no pass mark. In grade 4 mathematics, Level 3 runs from 2485 to 2548.

Checked October 7, 2026 against the Smarter Balanced Assessment Consortium's mathematics blueprint, estimated testing times, calculator rules and score levels. Rules change, so confirm with the agency itself before your test.

The consortium's own practice and training tests

Next step More math: 48 questions for grades 3 to 5Look ahead: grade 5 math and English

How it works

Unofficial fourth grade math practice for the Smarter Balanced (SBAC) test, ready to print or save as a PDF. Every question was written for this page to a grade 4 target. Not affiliated with the Smarter Balanced Assessment Consortium.

Read the full guide

What the grade 4 blueprint counts

Three targets supply 8 or 9 of the Concepts and Procedures items: problems with the four operations, multi-digit arithmetic and equivalent fractions. The 48 questions keep those shares: 24 on concepts, 12 on problem solving and modeling, 12 on reasoning.

How the real test differs

It is taken on a computer and adjusts its questions to the student. It adds a performance task of 4 to 6 items, some of them scored by hand. Here every question is multiple choice, and the working follows each answer.

  • On a reasoning question, decide whether the claim is true before you read the choices.

Questions and answers

Is there a printable 4th grade SBAC practice test?

Yes, this one. It prints as a paper test with its answer key, and the print window can save it as a PDF. The consortium's own grade 4 practice test is taken online, in its testing software.

What math is on the 4th grade Smarter Balanced test?

The grade 4 targets: the four operations with whole numbers, multi-digit arithmetic, equivalent fractions, adding and multiplying fractions, decimals to hundredths, measurement, angles, factors, patterns, data and shapes.

Can 4th graders use a calculator on the SBAC math test?

No. The consortium's calculator rules allow none on the grades 3 to 5 mathematics tests.

How long is the 4th grade SBAC math test?

It is untimed. The consortium estimates 2 hours 30 minutes for mathematics in grades 3 to 5: 1 hour 30 minutes for the adaptive part and 1 hour for the performance task.

What is a passing SBAC math score in 4th grade?

No pass mark is published. Scores fall in four achievement levels, and in grade 4 mathematics Level 3 runs from 2485 to 2548. A percent right on this page is not a scaled score.

All 48 questions

Concepts and Procedures 24

  • A bakery packs 156 rolls into bags of 8. After as many full bags as possible are packed, how many rolls are left over? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target A: use the four operations with whole numbers to solve problems
  • A class of 26 students and 4 adults visits a museum. A ticket costs $6 for each person, and the bus costs $35. What is the total cost? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target A: use the four operations with whole numbers to solve problems
  • A dog weighs 48 pounds. That is 6 times as much as a cat weighs. How much does the cat weigh? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target A: use the four operations with whole numbers to solve problems
Show all 48 questions (45 more)

Concepts and Procedures, continued

  • A garden bed is a rectangle with an area of 54 square feet. It is 6 feet wide. How long is it? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target I: solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
  • A large angle measures 110°. A line through its corner splits it into two smaller angles, and one of them measures 35°. What does the other measure? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target K: geometric measurement: understand concepts of angle and measure angles
  • A line plot shows the lengths of 8 leaves. Three leaves are 2 1/4 inches long, four are 2 1/2 inches and one is 3 inches. What is the difference between the longest leaf and the shortest? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target J: represent and interpret data
  • A ribbon is 3/4 yard long. Which fraction names the same length? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target F: extend understanding of fraction equivalence and ordering
  • The digit 3 appears twice in 3,385. The 3 on the left is worth how many times as much as the 3 beside it? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target D: generalize place value understanding for multi-digit whole numbers
  • Lena writes four statements about decimals. Which one is true? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target H: understand decimal notation for fractions, and compare decimal fractions
  • Maya has 7 stickers. Leo has 4 times as many stickers as Maya. How many stickers does Leo have? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target A: use the four operations with whole numbers to solve problems
  • One hour is 60 minutes. A movie lasts 2 hours 15 minutes. How many minutes does it last? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target I: solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
  • What is 4 1/5 − 1 3/5? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target G: build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
  • What is 4 × 3/5? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target G: build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
  • What is 28 × 64? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
  • What is 2,418 ÷ 6? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
  • What is 5,286 + 3,947? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
  • What is 7,052 − 2,486? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
  • What is 648,365 rounded to the nearest ten thousand? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target D: generalize place value understanding for multi-digit whole numbers
  • Which decimal is equal to 9/100? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target H: understand decimal notation for fractions, and compare decimal fractions
  • Which list shows 3/4, 1/2 and 5/8 in order from least to greatest? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target F: extend understanding of fraction equivalence and ordering
  • Which number has exactly two factors? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target B: gain familiarity with factors and multiples
  • Which of these fractions is between 1/2 and 1? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target F: extend understanding of fraction equivalence and ordering
  • Which shape always has four right angles? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target L: draw and identify lines and angles, and classify shapes by properties of their lines and angles; shapes sorted by their angles as in Common Core standard 4.G.A.2
  • Which sum is another way to write 7/8? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 1 (Concepts and Procedures), target G: build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Problem Solving and Modeling 12

  • A baker makes 5 trays of 12 muffins and packs them in boxes of 4. Which expression gives the number of boxes? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 4 (Modeling and Data Analysis), target F: identify important quantities in a practical situation and map their relationships
  • A cook buys 4 bags of rice at $7 each and 6 cans of beans at $2 each. She pays with a $50 bill. How much change does she get? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
  • A florist has 110 roses and makes bouquets of 9 roses. Each full bouquet sells for $20. How much money do the full bouquets bring in? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
  • A library has 5 bookcases. Each bookcase has 6 shelves, and each shelf holds 32 books. How many books do the bookcases hold in all? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 4 (Modeling and Data Analysis), target A: apply mathematics to solve problems arising in everyday life, society, and the workplace
  • A rectangular playground is 40 meters long and 25 meters wide. Ana runs around its edge 3 times. How far does she run? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
  • A water tank holds 500 liters. A family uses 65 liters each day. How many liters are left after 7 days? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 4 (Modeling and Data Analysis), target A: apply mathematics to solve problems arising in everyday life, society, and the workplace
  • Jay has $20, and notebooks cost $3 each. He divides 20 by 3 and gets 6 with a remainder of 2. What does the remainder mean? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 4 (Modeling and Data Analysis), target D: interpret results in the context of a situation
  • Jon had some marbles. He gave 14 away and then had 29 left. Which equation matches the story, if m is the number he started with? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target D: identify important quantities in a practical situation and map their relationships
  • Lia has 3 times as many shells as Ben. Together they have 48 shells. How many shells does Ben have? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target D: identify important quantities in a practical situation and map their relationships
  • Paint comes in 4-liter cans, and a job needs 30 liters. Ali divides 30 by 4 and gets 7 with a remainder of 2. How many cans must he buy? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target C: interpret results in the context of a situation
  • Sam reads 25 pages on each school day, Monday to Friday, and 40 pages on each weekend day. How many pages does he read in 2 weeks? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
  • To estimate 398 + 211, Kim rounds each number to the nearest hundred and adds. What is her estimate, and how close is it to the exact sum? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 4 (Modeling and Data Analysis), target E: analyze the adequacy of and make improvements to an existing model

Communicating Reasoning 12

  • A number line from 0 to 1 is marked in fourths. Where is 3/4 compared with 1/2? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target F: base arguments on concrete referents such as objects, drawings, diagrams, and actions
  • A pattern starts at 3 and follows the rule "add 4": 3, 7, 11, 15. Why is every number in the pattern odd? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target B: construct chains of reasoning that will justify or refute propositions or conjectures
  • A rectangle has a perimeter of 20 centimeters and a length of 7 centimeters. Kai says its width must be 3 centimeters. Is he right? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target B: construct chains of reasoning that will justify or refute propositions or conjectures
  • A whole number is rounded to the nearest ten, and the result is 40. Which list gives every number it could have been? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target D: use the technique of breaking an argument into cases
  • Abe says, "If a number is even, then half of it is even too." Which number shows that Abe is wrong? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target A: test propositions or conjectures with specific examples
  • Cole says, "The fraction with the bigger denominator is always the bigger fraction." Which pair of fractions shows that he is wrong? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target A: test propositions or conjectures with specific examples
  • Ida adds 3/10 + 4/100 and writes 7/110. What should she do? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target E: distinguish correct logic or reasoning from that which is flawed and explain the flaw
  • Mia has 1/2 of a small pizza and Ty has 1/2 of a large pizza. Mia says, "We have the same amount, because 1/2 = 1/2." When would she be right? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target C: state logical assumptions being used; the same-whole rule is in Common Core standard 4.NF.A.2
  • Ned finds 34 × 20 by working out 34 × 2 = 68, and he writes 68 as his answer. What did he forget? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target E: distinguish correct logic or reasoning from that which is flawed and explain the flaw
  • Ray says, "When you multiply two whole numbers that are both greater than 1, the answer is never a prime number." Is he right? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target B: construct chains of reasoning that will justify or refute propositions or conjectures
  • Which statement explains why 2/3 and 8/12 are equal? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target B: construct chains of reasoning that will justify or refute propositions or conjectures
  • Why is the product of an even number and any whole number always even? Smarter Balanced Mathematics Summative Assessment Blueprint, grade 4, Claim 3 (Communicating Reasoning), target F: base arguments on concrete referents such as objects, drawings, diagrams, and actions

How this list was compiled: Outline: the Mathematics Summative Assessment Blueprint of the Smarter Balanced Assessment Consortium (as of the 2018-19 test administration), https://portal.smarterbalanced.org/library/en/mathematics-summative-assessment-blueprint.pdf, linked from https://contentexplorer.smarterbalanced.org/test-development, read 2026-10-07: the blueprint table for grades 3 to 5 and the two pages headed Target Sampling Mathematics Grade 4. Each question names the claim and the assessment target it practices. Every answer is arithmetic on the numbers in the question, worked out again. Two questions rest on a grade 4 standard of the Common Core State Standards for Mathematics, https://www.thecorestandards.org/Math/Content/4/G/ and https://www.thecorestandards.org/Math/Content/4/NF/, read 2026-10-07 and named under the answer. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a Smarter Balanced test, practice test, training test, sample item or another practice test.

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