Kansas Real Estate Exam Math Practice

Math questions appear on both sections of the Kansas PSI real estate exam. The formulas are consistent across states, but practicing with realistic Kansas home values helps you work faster and more accurately under timed conditions.

Core Formulas

Commission > Commission = Sale Price × Commission Rate

Net to Seller > Net = Sale Price − Commission − Closing Costs − Mortgage Payoff

Loan-to-Value (LTV) > LTV = Loan Amount ÷ Purchase Price

Proration (360-day year) > Daily rate = Annual amount ÷ 360 > Proration = Daily rate × Days elapsed

Down Payment > Down Payment = Purchase Price × Down Payment Percentage > Loan Amount = Purchase Price − Down Payment

Practice Problems

Problem 1 — Commission Split

A Wichita home sells for $195,000. The total commission is 6%, split 50/50 between listing and buyer's brokers. The listing salesperson gets 55% of the listing broker's share. How much does the listing salesperson earn?

*Step 1:* $195,000 × 6% = $11,700 total commission *Step 2:* $11,700 ÷ 2 = $5,850 to listing broker *Step 3:* $5,850 × 55% = $3,217.50

Problem 2 — Property Tax Proration

Annual taxes are $2,160. Closing is August 1 (using 360-day year: 7 months = 210 days). Taxes paid in arrears. How much does the seller owe the buyer?

*Step 1:* $2,160 ÷ 360 = $6.00/day *Step 2:* $6.00 × 210 = $1,260 (seller credit to buyer)

Problem 3 — Net to Seller

A Kansas seller's home closes at $265,000. They owe $148,000 on their mortgage. Commission is 5.5%, and other closing costs are $3,800. What are the seller's net proceeds?

*Step 1:* Commission = $265,000 × 5.5% = $14,575 *Step 2:* Net = $265,000 − $14,575 − $3,800 − $148,000 = $98,625

Problem 4 — Loan-to-Value and Down Payment

A Kansas buyer purchases a $245,000 home with a 20% down payment. What is the loan amount and LTV?

*Step 1:* Down payment = $245,000 × 20% = $49,000 *Step 2:* Loan = $245,000 − $49,000 = $196,000 *Step 3:* LTV = $196,000 ÷ $245,000 = 80%

Problem 5 — Appreciation

A property purchased for $180,000 in Overland Park appreciates at 5% per year. What is it worth after 3 years?

*Year 1:* $180,000 × 1.05 = $189,000 *Year 2:* $189,000 × 1.05 = $198,450 *Year 3:* $198,450 × 1.05 = $208,372.50

Kansas-Specific Math Notes

Kansas CE math: 12 CE hours ÷ 2-year cycle = 6 hours per year minimum. If a question asks how many hours per year, the answer is 6.

Prelicense math: Kansas's 30-hour prelicense is among the lowest. If a question compares Kansas to a state with 90 hours, Kansas is 1/3 of that.

Tips for Exam Day

• PSI provides an on-screen calculator
• Show all steps on scratch paper
• Re-read commission questions: "How much does the agent earn?" vs. "How much does the broker keep?" are different
• For net proceeds, always subtract mortgage payoff if given

More Kansas practice at [CARealestate.com/states/kansas](https://carealestate.com/states/kansas).