Third grade math for the Kansas state assessment: multiplication and division, rounding, fractions, time, graphs, area and perimeter.
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Unofficial practice questions, not affiliated with the Kansas State Department of Education. Bank checked October 13, 2026.
The real test: KAP mathematics, grade 3
Length
Between 40 and 50 questions in two sessions.
Time
Untimed. The manual says most students finish a subject within two class sessions of 45 minutes.
Domains
Operations & Algebraic Thinking 20 to 35%, Number & Operations in Base 10 13 to 18%, Fractions 13 to 18%, Measurement & Data 35 to 50%, Geometry 3 to 8%.
Calculator and tools
No calculator on any part of the test. Blank scratch paper, graph paper, manipulatives and the KAP math resource sheet are allowed.
Testing window
March 22 to April 23, 2027, the general summative window of the 2026-2027 calendar.
Scores
A scale of 400 to 700 in four levels. In grade 3 mathematics Level 2 begins at 510, Level 3 at 540 and Level 4 at 570.
36 crayons are shared equally among 9 students. Which expression shows how many crayons each student gets?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.2
A baker cuts a 45-inch rope of pretzel dough into sticks that are each 5 inches long. How many sticks does she get?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.3
A class has 4 boxes with 10 pencils in each box. The students give away 12 pencils. How many pencils are left?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.8
A garden has 7 rows of corn with 8 plants in each row. How many corn plants are there?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.3
A week has 7 days. How many days are in 9 weeks?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.7
Show all 40 questions (35 more)
Operations & Algebraic Thinking, continued
At a fish hatchery, 6 tanks each hold 9 young trout. Which expression gives the total number of trout?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.1
Kira knows that 6 × 5 = 30 and 6 × 3 = 18. How can she use these two facts to find 6 × 8?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.5
Maya adds 3 + 5, 7 + 9 and 11 + 13. What is true of the sum of any two odd numbers?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.9
To find 72 ÷ 8, Noor asks herself, "8 times what number makes 72?" Which number answers her question?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.6
Which number makes 54 ÷ ? = 6 true?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Operations & Algebraic Thinking; 2017 Kansas Mathematics Standards, standard 3.OA.4
Number & Operations in Base 10 6
A crate holds 60 oranges. How many oranges are in 7 crates?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.3
A farm has 852 chickens. About how many is that, rounded to the nearest hundred?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.1
A library had 620 books on its shelves and lent out 185. How many books are still on the shelves?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.2
What is 347 rounded to the nearest ten?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.1
What is 465 + 278?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.2
Which is equal to 4 × 90?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations in Base 10; 2017 Kansas Mathematics Standards, standard 3.NBT.3
Number & Operations - Fractions 6
A number line from 0 to 1 is marked in eighths. A toy frog starts at 0 and makes 5 jumps, each 1/8 long. On which fraction does it land?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.2
A quilt is sewn from 6 squares of cloth that are all the same size. Five of the squares are blue. What fraction of the quilt is blue?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.1
A rope is 5/8 yard long. Which length is longer than the rope?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.3d
Ava shades 2/3 of a paper strip. Leo shades the same amount of an equal strip that is cut into sixths. What fraction does Leo shade?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.3b
Jon walks 3/8 mile to school and Mia walks 3/4 mile. The two fractions have the same numerator. Which comparison is true?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.3d
Which fraction equals the whole number 2?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Number & Operations - Fractions; 2017 Kansas Mathematics Standards, standard 3.NF.3c
Measurement & Data 16
A bulletin board is a rectangle 6 feet tall and 9 feet wide. What is its area?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.8b
A picture frame is a rectangle. The distance around it is 26 inches, and it is 5 inches wide. How long is the frame?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.9
A picture graph uses one apple picture for every 4 apples sold. How many apple pictures show 24 apples?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.4
A puppy has a mass of 9 kilograms. A grown dog has a mass of 27 kilograms. How much greater is the mass of the grown dog?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.3
A rectangle is 5 units wide and 12 units long. Which expression also gives its area?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.8c
A shape is covered by 14 unit squares with no gaps and no overlaps. What is its area?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.7
A student wants to measure how much water a fish tank holds. Which unit should she use?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.2
A triangular flag has sides of 8 inches, 11 inches and 14 inches. What is its perimeter?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.9
An L-shaped patio is made of two rectangles that do not overlap. One is 4 meters by 3 meters. The other is 2 meters by 5 meters. What is the area of the patio?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.8d
Band practice starts at 4:35 p.m. and lasts 40 minutes. When does it end?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.1
Each watering can holds 6 liters. How many liters do 5 full cans hold?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.3
In a bar graph, each square stands for 2 votes. The bar for pizza is 9 squares tall and the bar for tacos is 5 squares tall. How many more votes did pizza get?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.4
The minute hand of a clock points to the 9. The hour hand is between the 2 and the 3. What time is it?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.1
The scale on a bucket is marked in liters. The water reaches halfway between the 6 and the 8. How many liters of water are in the bucket?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.2
Students measure six pencils to the nearest quarter inch: 4 1/4, 4 1/2, 4 1/2, 4 3/4, 4 1/2 and 5 inches. On a line plot, which length has the most marks?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.5
Two rectangles each have a perimeter of 16 units. One is 7 units by 1 unit. The other is 4 units by 4 units. How do their areas compare?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Measurement & Data; 2017 Kansas Mathematics Standards, standard 3.MD.9
Geometry 2
A floor tile shaped like a hexagon is marked off into 3 parts that have equal areas. What fraction of the tile is one part?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Geometry; 2017 Kansas Mathematics Standards, standard 3.G.2
A rhombus, a rectangle and a square all belong to the larger group called quadrilaterals. Which attribute do all three share?Kansas Assessment Program, KAP Summative Blueprint for Mathematics, grade 3, domain Geometry; 2017 Kansas Mathematics Standards, standard 3.G.1
How this list was compiled: Outline: KAP Summative Blueprint for Mathematics (last updated 11/21/2025), grade 3, Kansas Assessment Program, https://ksassessments.org/sites/default/files/documents/Math/KAP_Summative_Blueprint_Math.pdf, read 2026-10-13. Each question names the blueprint domain and the standard it practices in the 2017 Kansas Mathematics Standards, Kansas State Department of Education, https://community.ksde.gov/LinkClick.aspx?fileticket=Fk5h7Uw24Kw%3d&tabid=5276&mid=15449, read 2026-10-13, numbered as that document numbers them. Each calculated answer was worked out a second time from the numbers in the question. An answer about a unit, a shape or a rule rests on the standard named under it. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a KAP test, a KAP practice test or mini test, or another practice test.
How it works
Unofficial practice for the 3rd grade mathematics test of the Kansas Assessment Program (KAP): 40 questions written for this site from the state's blueprint and math standards. None is a state practice item. Not affiliated with the Kansas State Department of Education.
Read the full guide
What the 3rd grade KAP math test covers
The KAP blueprint gives grade 3 five domains, and the 40 questions keep its shares. Measurement & Data is the largest, with 16: telling time, liters and kilograms, picture and bar graphs, line plots, area and perimeter. Operations & Algebraic Thinking has 10: multiplying and dividing within 100, unknown factors, two-step problems and patterns. Base 10 has 6: rounding, sums and differences within 1,000, and multiples of 10. Fractions has 6, with denominators 2, 3, 4, 6 and 8. Geometry has 2.
Kansas numbers its standards its own way
Under each answer is the Kansas standard it practices. Measurement & Data runs from 3.MD.1 to 3.MD.9 in the Kansas document, where area is 3.MD.8 and perimeter is 3.MD.9.
Kansas allows no calculator on any part of the grade 3 math test, so work each answer by hand.
Questions and answers
How many questions are on the 3rd grade KAP math test?
Kansas gives a range and no single number: each KAP subject has between 40 and 50 questions, in two sessions. This page has 40.
Is the 3rd grade KAP test timed?
No. Every KAP test is untimed. The test manual says most students finish a subject within two class sessions of 45 minutes, and a student who is making a serious attempt may be given more time.
What is a good KAP math score in 3rd grade?
Scores run from 400 to 700 in four levels. In grade 3 mathematics Level 2 begins at 510, Level 3 at 540 and Level 4 at 570. Students in Levels 3 and 4 have reached the expectations for the grade.
When is the KAP test in 2027?
The general summative window of the 2026-2027 Kansas assessment calendar opens on March 22, 2027, and closes on April 23, 2027.
Is there KAP reading practice for 3rd grade on this page?
No. Kansas third graders take KAP tests in English language arts and in mathematics, and this page is mathematics only. The state's own KAP practice tests for grades 3 to 5 are explained in its parent guide, linked under the questions.