Third grade math in the five domains of the Kentucky Summative Assessment, with the steps under each answer.
Pick an answer, then press Check answer.Then you see Correct or Not quite, with the reason.Keys: A to D pick, Enter checks.
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Unofficial practice questions, not affiliated with the Kentucky Department of Education. Bank checked October 13, 2026.
The real test: KSA math, grade 3
Questions
42, on each of 6 test forms: 30 to 33 multiple choice and 3 short answer; the rest are multiple select or technology enhanced.
Time
120 minutes, in two parts. Part A is the non-calculator part.
Points
Multiple choice 1 point; multiple select 2; short answer 2; technology enhanced 1 or 2 in mathematics.
Domains
Operations and Algebraic Thinking 30 to 35% of items; Number and Operations in Base Ten 15 to 20%; Fractions 20 to 25%; Measurement and Data 15 to 20%; Geometry
Calculator
60 to 70% of the items in grades 3 to 5 are non-calculator. In the calculator part an on-screen four-function calculator is available.
When
In spring. Students took the 2026 tests between April 13 and June 5.
A baker has 45 muffins. She puts 5 muffins on each tray. How many trays does she fill?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.3
A gym is set up with 7 rows of chairs. Each row has 9 chairs. How many chairs are in the gym?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.3
A music book has 72 pages in 8 chapters of equal length. How many pages are in each chapter?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.7
A number divided by 6 equals 7. The equation is ? ÷ 6 = 7. What is the number?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.4
A school collects 287 cans one week and 412 cans the next week. Tia says that is about 700 cans. Which shows that her answer is reasonable?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.8
Show all 42 questions (37 more)
Operations and Algebraic Thinking, continued
Lena cannot remember 6 × 9, but she knows 6 × 5 and 6 × 4. Which expression can she use to find 6 × 9?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.5
Look at the products of 5: 5, 10, 15, 20, 25. Which statement is true of every product of 5 and a whole number?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.9
Mr. Reed buys 5 boxes of markers. Each box has 8 markers. He puts 12 markers in a drawer and the rest on a shelf. How many markers are on the shelf?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.8
Nora finds 4 × 2 × 5 by multiplying 2 × 5 first. Which expression does she solve next?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.5
Omar wants to find 36 ÷ 9. Which multiplication fact gives him the answer?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.6
Sam has 50 trading cards. He fills 5 pages of an album with 8 cards on each page. Which equation finds c, the number of cards left over?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.8
Seven children share 35 stickers equally. How many stickers does each child get?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.2
What is 8 × 6?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.7
Which story matches the expression 3 × 8?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.OA.1
Number and Operations in Base Ten 7
A farmer packs 70 eggs into each crate. How many eggs are in 6 crates?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.3
A library has 815 books. On Monday 289 of them are checked out. How many books are still in the library?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.2
A school bus has 50 seats. How many seats are on 6 of these buses?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.3
What is 356 + 487?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.2
What is 364 rounded to the nearest ten?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.1
What is 451 rounded to the nearest hundred?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.1
What is 602 − 347?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NBT.2
Number and Operations: Fractions 9
A fraction strip has 3/4 of its length shaded. Which fraction covers the same length?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.3
A number line from 0 to 1 is split into 3 equal parts. Which fraction names the second mark after 0?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.2
A number line from 0 to 1 is split into 6 equal parts. How long is each part?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.2
A window has 6 equal panes of glass. Frost covers 5 of the panes. What fraction of the window has frost on it?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.1
Ana drinks 1/2 of a small carton of juice. Ben drinks 1/2 of a large carton. Ana says they drank the same amount. Why is she wrong?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.3
Two ribbons are the same length. Jay cuts off 5/6 of his and May cuts off 5/8 of hers. Which statement compares the pieces they cut off?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.3
Which fraction is equivalent to 2/6?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.3
Which fraction names the same number as 2?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.3
Which sum is the same as 3/8?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.NF.1
Measurement and Data 7
A cake goes into the oven at 4:47. It bakes for 35 minutes. What time does it come out?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.1
A dot plot shows the lengths of 10 pencils. It has 3 dots at 4 1/2 inches, 5 dots at 4 3/4 inches and 2 dots at 5 inches. How many pencils are longer than 4 1/2 inches?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.4
A flag is a rectangle with a perimeter of 34 inches. Its length is 11 inches. What is its width?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.8
A floor is shaped like the letter L. It can be split into a rectangle 4 feet by 3 feet and a rectangle 2 feet by 5 feet. What is the area of the floor?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.7
A puppet show starts at 1:50 and ends at 2:25. How long is the show?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.1
In a pictograph of favorite sports, each ball stands for 5 votes. Soccer has 4 balls and baseball has 2 balls. How many more votes does soccer have than baseball?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.3
One watermelon has a mass of 5 kilograms. What is the mass of 6 watermelons of that size?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.MD.2
Geometry 5
A rectangle is split into 8 parts that all have the same area. What fraction of the whole area is one part?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.G.2
A shape has 4 sides that are all the same length and 4 square corners. Which name fits it best?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.G.1
Jo sorts shapes into a group named "quadrilaterals." Which shape does not belong in the group?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.G.1
Tia draws a closed shape with 5 straight sides and 5 corners. What is her shape called?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.G.1
Which one name fits every shape in this list: a trapezoid, a rhombus and a rectangle?Kentucky Department of Education, Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, standard KY.3.G.1
How this list was compiled: Outline: Mathematics Blueprint (8/6/2020), Kentucky Department of Education, https://www.education.ky.gov/AA/Acct/Documents/FINAL%20Mathematics%20Blueprint%2020200806.pdf, linked from the department's Assessment Blueprint page, read 2026-10-13: the five grade 3 domains and the target percent of items in each. Standards: Kentucky Academic Standards for Mathematics (adopted 2019), grade 3, https://www.education.ky.gov/curriculum/standards/kyacadstand/Documents/Kentucky_Academic_Standards_Mathematics.pdf, read 2026-10-13: each question names the standard it practices, inside the limits the standards set (products and quotients within 100, sums and differences within 1000, fractions with denominators 2, 3, 4, 6 and 8, rounding to the nearest 10 or 100). The number of questions is that of the 2025-2026 Testing Items and Times Chart, https://www.education.ky.gov/AA/distsupp/Documents/KSA_Testing_Items_and_Times.pdf. Every calculation is worked out a second time from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a Kentucky Summative Assessment, a K-PREP test, a released item, a practice test of the state or another practice test, and no example of the standards document is reused. No released item was read.
How it works
Unofficial practice for grade 3 mathematics on the Kentucky Summative Assessment (KSA), Kentucky's state test: 42 questions written for this site from the state's blueprint and standards. None is a released item. Not affiliated with the Kentucky Department of Education.
Read the full guide
What Kentucky tests in grade 3 math
The state's mathematics blueprint sets a share of the test for each of five domains, and this page keeps those shares. Operations and Algebraic Thinking is the largest, about a third: multiplying and dividing within 100, unknown factors, two-step word problems and patterns. Number and Operations in Base Ten: rounding, adding and subtracting within 1000, multiplying by tens. Fractions: halves, thirds, fourths, sixths and eighths on a number line, equal fractions and comparing. Measurement and Data: elapsed time, mass, pictographs, dot plots, area and perimeter. Geometry: polygons and equal parts.
Under each answer
The steps come first, then the standard the question practices, written as Kentucky writes it: KY.3.NF.2, for example. Reading is a separate KSA test and is not on this page.
Part A of the real math test is taken without a calculator, so practice the facts and the three-digit sums by hand.
Questions and answers
What is the Kentucky state test for 3rd grade called?
The Kentucky Summative Assessment, or KSA. The state says these tests were previously called K-PREP, the Kentucky Performance Rating for Educational Progress. Third graders take two KSA tests: reading and mathematics.
How many questions are on the 3rd grade KSA math test?
42, by the state's Testing Items and Times Chart for 2025-2026. A form has 30 to 33 multiple-choice questions and three short-answer questions; the rest are multiple select or technology enhanced.
How long is the 3rd grade KSA math test?
120 minutes, given in two parts. In the calculator part, grades 3 to 5 have an on-screen four-function calculator.
What is a passing score on the KSA in 3rd grade?
The state reports four performance levels and no percent to pass: Novice, Apprentice, Proficient and Distinguished. A percent right on this page is practice, not one of those levels.