Free Practice Questions for KAP Math Grade 4

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Key Facts: KAP Math Grade 4 Exam

4 Performance Levels

Level 1 (Limited) to Level 4 (Advanced); Level 3 (Proficient) is the benchmark

Kansas State Department of Education (KSDE)

35–45 questions

Official fixed-form test length (~40–50 items across two sessions)

ATS KITE Assessment Specifications

Untimed (~60–90 mins)

Administered in 2 school sessions

KSDE Assessment Guidelines

30% Fractions & Decimals

Largest domain weight on the Grade 4 test

KCCRS Grade 4 Mathematics Blueprint

Spring Testing Window

Administered annually in March–April

KSDE Testing Calendar

The KAP Grade 4 Math assessment is Kansas's annual spring fixed-form online math test (~40–50 items across two untimed sessions), evaluating KCCRS proficiency across four performance levels with Level 3 (Proficient) as the target benchmark.

Sample KAP Math Grade 4 Practice Questions

Try these sample questions to review concepts for the KAP Math Grade 4 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A school store sells 4 notebooks for $3 each and 2 packs of pencils for $5 each. What is the total cost of these items?

A.$17

B.$26

C.$22

D.$14

Explanation: Calculate the total cost by finding the cost of the notebooks (4 × $3 = $12) and the pencil packs (2 × $5 = $10). Adding $12 and $10 gives a total cost of $22.

2Maya has 8 books. Her brother Noah has 3 times as many books as Maya. How many books does Noah have?

A.11

B.16

C.32

D.24

Explanation: To solve a multiplicative comparison problem where Noah has 3 times as many books, multiply Maya's 8 books by 3. 8 × 3 = 24 books.

3Which set shows all the factor pairs of the number 18?

A.(2, 9), (4, 5)

B.(1, 18), (2, 9), (3, 6)

C.(1, 18), (2, 8), (4, 4)

D.(1, 18), (3, 5)

Explanation: The factor pairs of 18 are pairs of whole numbers that multiply together to equal 18. 1 × 18 = 18, 2 × 9 = 18, and 3 × 6 = 18.

4Which of the following numbers is prime?

A.27

B.17

C.21

D.15

Explanation: A prime number has exactly two distinct factors: 1 and itself. The factors of 17 are 1 and 17. The other numbers are composite: 15 (3×5), 21 (3×7), and 27 (3×9).

5Farmer Ben harvested 140 apples. He threw away 20 spoiled apples and packed the rest equally into 6 boxes. How many apples are in each box?

A.23

B.25

C.20

D.30

Explanation: First subtract the 20 spoiled apples from the total harvest: 140 - 20 = 120 good apples. Then divide the remaining 120 apples equally into 6 boxes: 120 ÷ 6 = 20 apples per box.

6A red ribbon is 42 centimeters long. The red ribbon is 6 times as long as a blue ribbon. How long is the blue ribbon?

A.36 cm

B.252 cm

C.7 cm

D.48 cm

Explanation: Since the red ribbon (42 cm) is 6 times as long as the blue ribbon, divide the red ribbon's length by 6: 42 ÷ 6 = 7 cm.

7Which number has exactly 3 distinct factors?

A.9

B.16

C.12

D.15

Explanation: The factors of 9 are 1, 3, and 9 (3 distinct factors). 12 has 6 factors (1,2,3,4,6,12), 15 has 4 factors (1,3,5,15), and 16 has 5 factors (1,2,4,8,16).

8Which of the following numbers is composite?

A.19

B.13

C.23

D.25

Explanation: A composite number has more than two factors. 25 has factors 1, 5, and 25 (3 factors), making it composite. 13, 19, and 23 are all prime.

9A number pattern starts at 5 and follows the rule 'Add 6.' The first five terms are 5, 11, 17, 23, 29. Which statement is true about all the terms in this pattern?

A.All terms are odd numbers.

B.All terms are even numbers.

C.The terms alternate between even and odd numbers.

D.All terms are multiples of 5.

Explanation: The starting number (5) is odd. Adding an even number (6) to an odd number always results in an odd number. Therefore, every term in the sequence (5, 11, 17, 23, 29...) is odd.

10Sophia buys 3 shirts for $14 each and a hat for $12. She pays with a $100 bill. How much change should she receive?

A.$34

B.$46

C.$54

D.$26

Explanation: First calculate the cost of the shirts: 3 × $14 = $42. Add the hat: $42 + $12 = $54 total spent. Subtract total spent from $100: $100 - $54 = $46 in change.

About the KAP Math Grade 4 Exam

The Kansas Assessment Program (KAP) Grade 4 Mathematics summative assessment measures student mastery of the Kansas College and Career Ready Standards (KCCRS). Administered each spring using the KITE testing platform, the test assesses foundational math concepts including multi-digit operations, fraction computation, decimal relationships, measurement conversions, and geometric properties. OpenExamPrep provides a comprehensive 100-question practice bank formatted as multiple-choice questions with step-by-step explanations.

Exam sponsor: Kansas State Department of Education (KSDE) / Assessment & Technology Solutions (ATS) at the University of Kansas (formerly CETE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Variable-length assessment

Time Limit

Untimed (approx. 60–90 minutes across 2 testing sessions)

Passing Score

Level 3 (Proficient) on the 400–700 KAP scale (Level 3 cut score 540; levels Limited/Basic/Proficient/Advanced)

Exam / Certification Fees

Free for Kansas public school students.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Kansas State Department of Education (KSDE) / Assessment & Technology Solutions (ATS) at the University of Kansas (formerly CETE): official exam information

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

18–28%

Operations & Algebraic Thinking

Multiplicative comparisons, factor pairs, prime and composite numbers, multi-step word problems, and number and shape patterns.

20–30%

Number & Operations in Base Ten

Multi-digit place value, reading and writing numbers to 1,000,000, rounding, multi-digit arithmetic, and division with remainders.

35–50%

Number & Operations — Fractions

Equivalent fractions, comparing fractions, decomposing fractions, adding and subtracting fractions and mixed numbers, multiplying fractions by whole numbers, and decimal notation for tenths and hundredths.

8–18%

Measurement & Data

Unit conversions, elapsed time and measurement word problems, area and perimeter formulas, line plots with fractions, and angle measurement.

3–13%

Geometry

Classifying 2-D figures by lines and angles, measuring angles, and lines of symmetry.

Preparing for the KAP Math Grade 4 Exam

What You Need to Know

Passing score: Level 3 (Proficient) on the 400–700 KAP scale (Level 3 cut score 540; levels Limited/Basic/Proficient/Advanced)
Assessment: Variable-length assessment
Time limit: Untimed (approx. 60–90 minutes across 2 testing sessions)
Exam / certification fees: Free for Kansas public school students. Official sources

Using Our Practice Resources

Work through all 100 available questions
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KAP Math Grade 4: Suggested Study Strategy

1Master multi-digit multiplication (2-digit by 2-digit) and long division with remainders through regular practice.

2Strengthen fraction skills, including finding equivalent fractions, adding/subtracting with like denominators, and converting tenths/hundredths to decimals.

3Practice solving multi-step word problems by identifying the required operations and checking whether the final answer makes sense.

4Review key geometric definitions such as acute/obtuse angles, parallel and perpendicular lines, and line symmetry.

5Work on unit conversions for length, mass, and volume (e.g., kilometers to meters, kilograms to grams).

Frequently Asked Questions

What is the KAP Grade 4 Mathematics assessment?

The KAP Grade 4 Mathematics assessment is the state-mandated annual summative test administered in Kansas to evaluate 4th-grade student achievement on the Kansas College and Career Ready Standards (KCCRS).

How long is the KAP Grade 4 Math test?

The assessment is untimed. Most students complete the test in two sessions lasting approximately 30 to 45 minutes each (60 to 90 minutes total).

What performance levels are used on the KAP?

Student performance is reported in four levels: Level 1 (Limited), Level 2 (Basic), Level 3 (Proficient — the state benchmark), and Level 4 (Advanced).

Are calculators allowed on the KAP Grade 4 Math test?

For Grade 4, calculators are generally restricted on non-calculator segments to assess basic computational fluency, though an embedded basic calculator may be available on specific designated items.

What main math topics are tested in Grade 4?

The exam covers Operations & Algebraic Thinking (25%), Numbers & Operations Base Ten (25%), Numbers & Operations Fractions (30%), and Measurement & Geometry (20%).

Is there any fee to take the KAP test?

No. The KAP assessments are free for all eligible public school students in Kansas.

Free Practice Questions for KAP Math Grade 4

KAP Summative Mathematics Grade 4