100+ Free KAP Math Grade 6 Practice Questions

Prepare for the Kansas Assessment Program Summative Mathematics — Grade 6 exam with instant access — no signup required.

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Key Facts: KAP Math Grade 6 Exam

Grade 6

Targeted Grade Level

KSDE Assessment Guidelines

Untimed

Test Duration (2 sessions)

KAP Test Administration Manual

Level 3

Benchmark Target (Effective)

KSDE Performance Level Descriptors

Free

Exam Cost (State-Funded)

Kansas State Department of Education

KITE

Testing Platform

ATS / University of Kansas

5 Domains

Math Reporting Categories

KCCRS Grade 6 Blueprint

KAP Math Grade 6 is Kansas's official statewide spring assessment for 6th graders. It is untimed, free for public school students, delivered on the KITE portal, and benchmarks readiness at Level 3.

Sample KAP Math Grade 6 Practice Questions

Try these sample questions to test your KAP Math Grade 6 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Store A sells a 16-ounce jar of honey for $6.40. Store B sells a 24-ounce jar of honey for $8.64. Which store offers the lower price per ounce, and by how much?

A.Store A by $0.04 per ounce

B.Store B by $0.04 per ounce

C.Store B by $0.10 per ounce

D.Store A by $0.08 per ounce

Explanation: Calculate the unit price for each store: Store A is $6.40 ÷ 16 = $0.40 per ounce. Store B is $8.64 ÷ 24 = $0.36 per ounce. Store B is cheaper by $0.40 - $0.36 = $0.04 per ounce.

2In a Grade 6 class, 18 students walk to school. If these students represent 30% of the total class enrollment, how many total students are in the class?

A.54 students

B.50 students

C.60 students

D.72 students

Explanation: Let total enrollment be T. Then 0.30 × T = 18. Solving for T yields T = 18 ÷ 0.30 = 60. Thus, there are 60 students in total.

3A jacket originally priced at $40 is on sale for 15% off. What is the sale price of the jacket?

A.$30

B.$36

C.$6

D.$34

Explanation: First calculate the discount: 15% of $40 = 0.15 × 40 = $6. Then subtract the discount from the original price: $40 - $6 = $34.

4On a blueprint, 1 centimeter represents 4 meters of actual length. If a wall measures 5.5 centimeters on the blueprint, what is its actual length?

A.20 meters

B.24 meters

C.22 meters

D.1.375 meters

Explanation: Multiply the blueprint length by the scale factor: 5.5 centimeters × 4 meters per centimeter = 22 meters.

5A recipe uses 3 cups of flour to make 12 cookies. How many cups of flour are needed to make 28 cookies at the same rate?

A.6 cups

B.8 cups

C.9 cups

D.7 cups

Explanation: Find the rate of flour per cookie: 3 ÷ 12 = 1/4 cup per cookie. Then multiply by 28 cookies: 28 × 1/4 = 7 cups of flour.

6The attendance at a school club increased from 40 members last year to 50 members this year. What is the percent increase in membership?

A.25%

B.20%

C.10%

D.80%

Explanation: Calculate the increase: 50 - 40 = 10 members. Divide by the original amount: 10 ÷ 40 = 0.25. Convert to percentage: 0.25 × 100% = 25%.

7The ratio of cats to dogs at an animal shelter is 3:5. If there are 40 animals in total (only cats and dogs), how many cats are at the shelter?

A.25

B.15

C.24

D.12

Explanation: The total number of ratio parts is 3 + 5 = 8 parts. Each part represents 40 ÷ 8 = 5 animals. Since cats correspond to 3 parts, there are 3 × 5 = 15 cats.

8Cyclist X rides 15 miles in 30 minutes. Cyclist Y rides at a constant speed of 25 miles per hour. Which cyclist is faster and by how much?

A.Cyclist X is faster by 5 miles per hour

B.Cyclist Y is faster by 5 miles per hour

C.Both ride at the same speed

D.Cyclist X is faster by 10 miles per hour

Explanation: Convert Cyclist X's speed to miles per hour: 30 minutes is 0.5 hours, so 15 miles ÷ 0.5 hours = 30 miles per hour. Comparing to Cyclist Y (25 mph), Cyclist X is faster by 30 - 25 = 5 mph.

9A juice blend is made by mixing apple juice and grape juice in a ratio of 4:1. If a batch contains 85 ounces total, how many ounces of apple juice are used?

A.17 ounces

B.68 ounces

C.70 ounces

D.51 ounces

Explanation: The total ratio parts equal 4 + 1 = 5 parts. Each part is 85 ÷ 5 = 17 ounces. Apple juice comprises 4 parts: 4 × 17 = 68 ounces.

10Out of 60 questions on a test, Maya answered 15 questions incorrectly. What percent of the test questions did she answer INCORRECTLY?

A.75%

B.15%

C.25%

D.30%

Explanation: To find the percentage incorrect, divide the number incorrect by total questions: 15 ÷ 60 = 0.25. Converting 0.25 to a percentage yields 25%.

About the KAP Math Grade 6 Exam

The Kansas Assessment Program (KAP) Grade 6 Mathematics Summative Assessment measures student mastery of the Kansas College and Career Ready Standards for Grade 6 Mathematics. The exam evaluates student proficiency across the official blueprint domains: Ratios & Proportional Relationships (13–18%), The Number System (30–45%), Expressions & Equations (28–38%), Geometry (5–10%), and Statistics & Probability (12–22%).

Assessment

Variable-length assessment

Time Limit

Untimed (2 sessions, ~60-75 mins each)

Passing Score

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

Exam Fee

Free (State-funded public school assessment) (Kansas State Department of Education (KSDE) / Assessment & Technology Solutions (ATS) at the University of Kansas (formerly CETE))

KAP Math Grade 6 Exam Content Outline

13–18%

Ratios & Proportional Relationships

Ratio language, unit rates, ratio tables, percent problems, and converting measurement units.

30–45%

The Number System

Dividing fractions, multi-digit division and decimal operations, negative numbers and absolute value, GCF and LCM, and the four-quadrant coordinate plane.

28–38%

Expressions & Equations

Evaluating expressions with exponents, writing and simplifying algebraic expressions, solving one-variable equations and inequalities, and independent/dependent variables.

5–10%

Geometry

Area of triangles and composite figures, volume with fractional edge lengths, surface area with nets, and polygons in the coordinate plane.

12–22%

Statistics & Probability

Statistical questions, measures of center and variability (mean, median, MAD, IQR), and displaying data with dot plots, histograms, and box plots.

How to Pass the KAP Math Grade 6 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 (2 sessions, ~60-75 mins each)
Exam fee: Free (State-funded public school assessment)

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

KAP Math Grade 6 Study Tips from Top Performers

1Master unit rate calculations and percent conversions, which make up nearly one-third of the exam.

2Practice fraction division algorithms and multi-digit decimal operations without relying on a calculator.

3Work on writing and solving one-variable equations and graphing inequalities on number lines.

4Review area formulas for triangles, parallelograms, and trapezoids, as well as 3D surface area from nets.

5Understand statistical measures of center (mean, median) and variability (IQR, MAD) and how outliers affect distributions.

Frequently Asked Questions

What is the Kansas Assessment Program (KAP) Grade 6 Math exam?

KAP Grade 6 Math is the annual statewide summative assessment administered to Kansas 6th graders to evaluate proficiency in the Kansas College and Career Ready Standards for Mathematics.

Is the KAP Grade 6 Math exam timed?

No. The KAP assessment is untimed. It is typically scheduled in two sessions of about 60 to 75 minutes each, but students are given as much time as they need to complete all questions.

What is considered a passing score on KAP Math Grade 6?

KAP uses four performance levels: Level 1 (Limited), Level 2 (Basic), Level 3 (Proficient), and Level 4 (Advanced). Reaching Level 3 meets the Kansas state benchmark for college and career readiness.

What topics are covered on the KAP Grade 6 Math assessment?

The exam covers the official blueprint domains: Ratios & Proportional Relationships (13–18%), The Number System (30–45%), Expressions & Equations (28–38%), Geometry (5–10%), and Statistics & Probability (12–22%).

How much does the KAP exam cost?

The KAP exam is completely free for public school students in Kansas. It is state-funded and administered during the regular spring testing window.

Are calculators allowed on the KAP Grade 6 Math test?

KAP Grade 6 Math includes both non-calculator and calculator-permitted sections. A four-function or scientific online calculator is provided within the KITE testing platform for designated sections.

100+ Free KAP Math Grade 6 Practice Questions

KAP Summative Mathematics Grade 6