Fifth grade KSA math by domain, weighted as Kentucky's blueprint weights it: base ten and fractions first.
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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 5
Questions
39, on each of 6 test forms: 24 to 31 multiple choice, 3 or 4 multiple select, 2 or 3 short answer and 1 or 2 extended response; five of the forms also have 4 t
Time
120 minutes, in two parts. Part A is the non-calculator part.
Points
Multiple choice 1 point; multiple select 2; short answer 2; extended response 4; technology enhanced 1 or 2 in mathematics.
Domains
Number and Operations in Base Ten 25 to 30% of items; Number and Operations, Fractions 25 to 30%; Operations and Algebraic Thinking 15 to 20%; Measurement and D
Calculator
60 to 70% of the items in grades 3, 4 and 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 number pattern starts at 3 and follows the rule "add 4". What is the 6th term?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.3
A table pairs x with y: (1, 5), (2, 10), (3, 15), (4, 20). Which rule fits every pair?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.3
One pattern starts at 0 and adds 5 each step. A second pattern starts at 0 and adds 20 each step. How does each term of the second compare with the matching term of the first?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.3
What is the value of 4 × [18 − (3 + 5)] + 6?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.1
Show all 40 questions (36 more)
Operations and Algebraic Thinking, continued
What is the value of {2 × [5 + (12 ÷ 4)]} − 7?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.1
Which expression means "subtract 9 from 30, then multiply by 5"?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.2
Without calculating, how does 6 × (4,817 + 265) compare with 4,817 + 265?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Operations and Algebraic Thinking; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.OA.2
Number and Operations in Base Ten 11
A 7.2-meter rope is cut into pieces 0.8 meter long. How many pieces are there?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.7
A farm packs 2,952 eggs into cartons of 24. How many cartons does it fill?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.6
A print shop makes 36 copies of a report that is 1,248 pages long. How many pages does it print?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.5
In 7,742.5, the 7 in the thousands place is worth how many times the 7 in the hundreds place?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.1
Ribbon costs $0.45 a foot. How much do 3.6 feet cost?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.7
Round 9.996 to the nearest hundredth.Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.4
Round 27.468 to the nearest tenth.Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.4
What is 3.08 × 10³?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.2
What is 62.5 ÷ 10²?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.2
Which decimal is 5 × 100 + 8 × 1 + 3 × (1/10) + 6 × (1/1,000)?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.3
Which decimal is greater than 0.709 and less than 0.79?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations in Base Ten; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NBT.3
Number and Operations: Fractions 11
A 1/4 gallon of paint is poured equally into 3 jars. How much paint is in each jar?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.7
A class has 28 students, and 3/4 of them sing in the choir. How many students sing in the choir?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.4
A recipe uses 2 1/2 cups of oats. Sam makes 1 1/2 times the recipe. How many cups of oats does he need?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.6
A rectangle is 3/4 yard long and 2/5 yard wide. What is its area?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.4
Four campers share 7 liters of water equally. How much does each camper get?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.3
How many 1/4-pound servings are in 6 pounds of turkey?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.7
Mia says 3/4 + 1/3 = 4/7. Which fact shows she is wrong without adding?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.2
Nora walked 3/8 mile to the park and then 1/2 mile to the library. How far did she walk in all?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.2
What is 5 1/4 − 2 5/6?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.1
What is 7/10 + 5/6?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.1
Without multiplying, which product is greater than 48?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Number and Operations -- Fractions; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.NF.5
Measurement and Data 6
A box is packed with unit cubes, with no gaps. It holds 3 layers, and each layer has 4 rows of 5 cubes. What is its volume?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.4
A fence is 7.25 meters long. How many centimeters is that?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.1
A jug holds 3 gallons of cider. One gallon is 4 quarts and one quart is 4 cups. How many 1-cup servings does the jug hold?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.1
A planter is made of two rectangular prisms. One is 6 feet by 2 feet by 3 feet. The other is 4 feet by 2 feet by 1 foot. What is the total volume?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.5
Students each name a favorite fruit: apple, banana, grape or orange. Which display fits this data?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.2
Which survey question gives numerical data?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Measurement and Data; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.MD.2
Geometry 5
A quadrilateral has four right angles. Two of its sides are 5 inches long and the other two are 8 inches long. What is its most exact name?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Geometry; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.G.4
Every parallelogram has two pairs of parallel sides. Which shape must also have two pairs of parallel sides?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Geometry; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.G.3
On a town grid, the library is at (3, 7) and the pool is at (3, 2). Each unit is one block. How far apart are they?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Geometry; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.G.2
To plot the point (6, 2), how do you move from the origin?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Geometry; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.G.1
Which statement about squares, rectangles and rhombuses is always true?Kentucky Department of Education, Mathematics Blueprint (8/6/2020), grade 5, Geometry; Kentucky Academic Standards for Mathematics (adopted 2019), standard KY.5.G.4
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, read 2026-10-13: the five grade 5 domains and the target percent of items in each. Standards: Kentucky Academic Standards for Mathematics (adopted 2019), grade 5, 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 and keeps to what that standard asks (decimals through the thousandths place, multiplication no larger than four digits by two digits, dividends of up to four digits by two-digit divisors, division only of unit fractions by whole numbers and whole numbers by unit fractions, the first quadrant of the coordinate plane, bar graphs, pictographs and dot plots as the data displays). The number of questions on the real test is from 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 or state practice test was read.
How it works
Forty of our own questions for grade 5 mathematics on the Kentucky Summative Assessment (KSA), once called K-PREP, written from Kentucky's blueprint and standards. Unofficial: no released item is used, and this site is not affiliated with the Kentucky Department of Education.
Read the full guide
What KSA grade 5 math covers
Base ten and fractions carry at least half of the test. Kentucky's blueprint gives Number and Operations in Base Ten and Number and Operations, Fractions 25 to 30 percent each: decimals to thousandths, powers of 10, long multiplication and division, and adding, subtracting and multiplying fractions. Operations and Algebraic Thinking has 15 to 20 percent; Measurement and Data and Geometry have 10 to 15 each.
Three things Kentucky's grade 5 standards ask for
Telling a categorical question from a numerical one and choosing a bar graph, pictograph or dot plot for the data (KY.5.MD.2). Finding the rule of a growing pattern (KY.5.OA.3). Dividing with fractions only as far as unit fractions and whole numbers (KY.5.NF.7). Every answer on this page names its standard.
On the real test 60 to 70 percent of the grade 5 items are non-calculator, so work each question by hand first.
Questions and answers
How many questions are on the KSA grade 5 math test?
39, by the state's Testing Items and Times Chart for 2025-2026. A form has 24 to 31 multiple-choice questions, 2 or 3 short-answer questions and 1 or 2 extended-response questions; the rest are multiple select or technology enhanced. This page has 40.
How long is the KSA math test in 5th grade?
120 minutes, in two parts; Part A is the non-calculator part. Kentucky's 2026 testing window ran from April 13 to June 5.
Can 5th graders use a calculator on the KSA?
Only in the calculator part, where grades 3 to 5 get an on-screen four-function calculator. A student with a calculator accommodation may have it in both parts.
What is a passing score on the grade 5 KSA math test?
Kentucky sets no percent to pass. A student gets a scale score and one of four performance levels: Novice, Apprentice, Proficient or Distinguished. A percent on this page is practice only.
What other KSA tests do 5th graders take?
In 2025-2026: reading, social studies, editing and mechanics, and on-demand writing. The state says the KSA will no longer test writing or editing and mechanics from 2026-2027, and the other tests stay the same.