30 crayons are shared equally among 5 tables. How many crayons does each table get?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target A: represent and solve problems involving multiplication and division
A fish tank holds 40 liters. It has 28 liters of water in it now. How many more liters will fill it?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target G: solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects
A line plot shows the lengths of 6 crayons: 2, 2 1/2, 2 1/2, 3, 3 and 3 inches. How many crayons are longer than 2 1/2 inches?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target H: represent and interpret data
A rectangle is 8 feet long and 3 feet wide. What is its perimeter?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target J: geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
Show all 40 questions (36 more)
Concepts and Procedures, continued
A rectangle is covered by 4 rows of unit squares with 8 squares in each row. What is its area?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target I: geometric measurement: understand concepts of area and relate area to multiplication and to addition
A shelf holds 52 books. 18 are checked out, and then 7 are returned. How many books are on the shelf now?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target D: solve problems involving the four operations, and identify and explain patterns in arithmetic
Each spider has 8 legs. How many legs do 6 spiders have?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target A: represent and solve problems involving multiplication and division
How many copies of 1/4 make 3/4?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target F: develop understanding of fractions as numbers
Noah has 35 cards. He keeps 5 and shares the rest equally among 6 friends. How many cards does each friend get?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target D: solve problems involving the four operations, and identify and explain patterns in arithmetic
The pattern 5, 10, 15, 20 adds 5 each time. Which is true of the numbers in the pattern?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target D: solve problems involving the four operations, and identify and explain patterns in arithmetic
What is 275 rounded to the nearest ten?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
What is 614 − 379?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target E: use place value understanding and properties of operations to perform multi-digit arithmetic
What is the product of 9 and 6?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target C: multiply and divide within 100
What is the quotient of 72 and 8?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target C: multiply and divide within 100
What number makes ? × 7 = 35 true?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target A: represent and solve problems involving multiplication and division
Which equation can help you find 45 ÷ 9?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target B: understand properties of multiplication and the relationship between multiplication and division
Which fraction sits at the same number-line point as 3/4?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target F: develop understanding of fractions as numbers
Which is another way to find (4 × 2) × 5?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target B: understand properties of multiplication and the relationship between multiplication and division
Which of these four comparisons of fractions is true?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target F: develop understanding of fractions as numbers
Which shape must be a quadrilateral?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 1 (Concepts and Procedures), target K: reason with shapes and their attributes; Common Core State Standards for Mathematics, standard 3.G.A.1, https://www.thecorestandards.org/Math/Content/3/G/
Problem Solving and Modeling 10
A baker has 47 eggs. Each cake needs 6 eggs. How many whole cakes can the baker make?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 4 (Modeling and Data Analysis), target D: interpret results in the context of a situation
A bar graph counts by 2s on its scale. The bar for red stops halfway between 6 and 8. How many votes did red get?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 4 (Modeling and Data Analysis), target F: identify important quantities in a practical situation and map their relationships
A farmer plants 5 rows of 8 corn plants and 3 rows of 6 bean plants. How many plants is that in all?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
A garden is a rectangle with an area of 24 square feet. One side is 3 feet long. How long is the side next to it?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target D: identify important quantities in a practical situation and map their relationships
A music lesson starts at 4:35 and lasts 40 minutes. What time does it end?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
A rope is 50 feet long. Jo cuts off 4 pieces that are each 9 feet long. How much rope is left?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
A tub gets 3 full buckets of water. Each bucket holds 9 liters. Then 4 liters splash out. How many liters are in the tub?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
A zoo ticket costs $9 for an adult and $5 for a child. What is the cost for 2 adults and 4 children?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 4 (Modeling and Data Analysis), target A: apply mathematics to solve problems arising in everyday life, society, and the workplace
Hot dog buns come in bags of 8. A cookout needs 52 buns. What is the fewest bags to buy?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 2 (Problem Solving), target A: apply mathematics to solve well-posed problems arising in everyday life, society, and the workplace
Sam earns $6 each week. Which number sentence finds how many weeks it takes to earn $54?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 4 (Modeling and Data Analysis), target E: analyze the adequacy of and make improvements to an existing model or develop a mathematical model of a real phenomenon
Communicating Reasoning 10
A whole number from 1 to 9 is multiplied by 10. What is always true of the product?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target A: test propositions or conjectures with specific examples
Ana rounds 351 to the nearest hundred and writes 300. Is she right?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target E: distinguish correct logic or reasoning from that which is flawed
Ben says 3 × 8 and 8 × 3 have the same answer. Is he right?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target B: construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures
Dan says 4/4 and 6/6 name the same number. Is he right?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target F: base arguments on concrete referents such as objects, drawings, diagrams, and actions
Is every number in the 4 times table even?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target B: construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures
Jay says every rectangle is a square. Which shape shows that Jay is wrong?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target A: test propositions or conjectures with specific examples
Kai eats 1/2 of a small pizza. Lu eats 1/2 of a large pizza. Did they eat the same amount?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target E: distinguish correct logic or reasoning from that which is flawed; Common Core State Standards for Mathematics, standard 3.NF.A.3.d, https://www.thecorestandards.org/Math/Content/3/NF/
Lea solves 45 − 18 and gets 33. Which check shows her mistake?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target E: distinguish correct logic or reasoning from that which is flawed
Lee says every odd number ends in 1, 3 or 5. Which number shows that Lee is wrong?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, Claim 3 (Communicating Reasoning), target A: test propositions or conjectures with specific examples
Two rectangles each have an area of 12 square units. Must they have the same perimeter?Smarter Balanced Mathematics Summative Assessment Blueprint, grade 3, 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, read 2026-10-10: the blueprint table for grades 3 to 5 and the two pages headed Target Sampling Mathematics Grade 3. Each question names the claim and the assessment target it practices. What each target covers in grade 3 (fractions with denominators 2, 3, 4, 6 and 8, rounding to the nearest 10 or 100, liquid volume and mass, line plots in halves and quarters) was read in the grade 3 pages of the Common Core State Standards for Mathematics, https://www.thecorestandards.org/Math/Content/3/OA/ and the NBT, NF, MD and G pages beside it, read 2026-10-10. Every answer is arithmetic on the numbers in the question, worked out a second time; the two questions that rest on a definition name their standard 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.
How it works
Unofficial third grade math practice for the Smarter Balanced (SBAC) test. All 40 questions were written for this page, each to a grade 3 blueprint target; none comes from the consortium. Not affiliated with the Smarter Balanced Assessment Consortium.
Read the full guide
What grade 3 is tested on
The blueprint gives Concepts and Procedures 17 to 20 items, and most go to four things: multiplication and division facts with their properties, area, two-step problems, and fractions as numbers. This page has 20 there. The other 20 are split evenly between problem solving with modeling, where a situation has to be turned into arithmetic, and communicating reasoning, where the job is to judge a claim and say why.
What this page leaves out
The real test runs on a computer that picks each question from the answers so far, and it adds a performance task of 4 to 6 items about one situation. Here every question is multiple choice.
On a reasoning question, try one small example before you read the choices.
Questions and answers
Is there a 3rd grade SBAC math practice test PDF?
This page prints as a paper test with its answer key, and the print window can save it as a PDF. The consortium's own grade 3 practice test is taken online in its testing software; the box under the questions links to it.
What math is on the SBAC test in grade 3?
Multiplying and dividing within 100, two-step word problems, fractions over 2, 3, 4, 6 or 8, area and perimeter, time, liquid volume and mass, rounding to the nearest 10 or 100, shapes and graphs.
Can 3rd graders use a calculator on the SBAC math test?
No. The consortium's calculator rules say the grades 3 to 5 mathematics tests do not allow one. An online calculator first appears in grade 6.
How long is the SBAC math test for 3rd grade?
It has no time limit. The consortium's estimate for mathematics in grades 3 to 5 is 2 hours 30 minutes: 1 hour 30 minutes for the adaptive part and 1 hour for the performance task.
What do SBAC math scores mean in 3rd grade?
Scores fall in four achievement levels, with no pass mark. In grade 3 mathematics Level 3 runs from 2436 to 2500, and Level 4 starts above 2500. A percent right on this page is not a scaled score.