Kansas Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Kansas real estate exam and test a focused set of calculations: commission splits, prorations (property tax, rent, interest), loan-to-value ratios, appreciation and depreciation, and area calculations. The Kansas Real Estate Commission does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Kansas candidates consistently lose points on proration questions because they apply the wrong day-count convention (360-day vs. 365-day year) or miscalculate the seller's vs. buyer's share. Work through every problem in this section until you can solve each type without hesitation.
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Kansas Real Estate Math — Practice Questions & Answers
182 questions on Real Estate Math from the Kansas real estate question bank. First 10 are free — sign up to unlock all 182.
Q1. A Kansas property sells for $275,000. The broker charges a 6% commission. What is the total commission amount?
Explanation
Total commission = Sales price × Commission rate = $275,000 × 0.06 = $16,500.
Q2. A property is assessed at 11.5% of its $320,000 market value. The tax rate is 120 mills. What are the annual property taxes?
Explanation
Assessed value = $320,000 × 0.115 = $36,800. Mill rate conversion: 120 mills = $0.120 per dollar. Annual tax = $36,800 × 0.120 = $4,416.
Q3. A buyer obtains a $180,000 mortgage at 7% annual interest. What is the first month's interest payment?
Explanation
Monthly interest = Principal × Annual rate ÷ 12 = $180,000 × 0.07 ÷ 12 = $12,600 ÷ 12 = $1,050.
Q4. A rectangular lot measures 150 feet by 200 feet. How many acres is this lot? (1 acre = 43,560 sq ft)
Explanation
Area = 150 × 200 = 30,000 sq ft. Acres = 30,000 ÷ 43,560 ≈ 0.69 acres.
Q5. A home sells for $350,000. The seller pays a 5.5% commission. How much does the seller net before other closing costs?
Explanation
Commission = $350,000 × 0.055 = $19,250. Net = $350,000 − $19,250 = $330,750.
Q6. A property's NOI is $36,000 and the cap rate is 8%. What is the estimated value using the income approach?
Explanation
Value = NOI ÷ Cap Rate = $36,000 ÷ 0.08 = $450,000.
Q7. A listing agent earns 60% of a 6% commission on a $280,000 sale. The listing office keeps the other 40%. What does the listing agent earn?
Explanation
Total commission = $280,000 × 0.06 = $16,800. Listing side = $16,800 × 0.50 (50/50 split) = $8,400. But the agent gets 60% of the listing side: $8,400 × 0.60 = $5,040. Wait — re-reading: 'listing agent earns 60% of 6%' = 60% of $16,800 = $10,080.
Q8. A Kansas lot is described as the NW 1/4 of the SW 1/4 of a section. How many acres does it contain?
Explanation
A section = 640 acres. SW 1/4 = 160 acres. NW 1/4 of SW 1/4 = 160 ÷ 4 = 40 acres.
Q9. A property is purchased for $420,000 and sold 3 years later for $483,000. What is the percentage appreciation?
Explanation
Appreciation = ($483,000 − $420,000) ÷ $420,000 = $63,000 ÷ $420,000 = 0.15 = 15%.
Q10. A property's assessed value is $85,000. The tax rate is 150 mills. What are the annual property taxes?
Explanation
150 mills = $0.150 per dollar of assessed value. Tax = $85,000 × 0.150 = $12,750. Wait — 150 mills = $0.150/$1 of assessed value. $85,000 × 0.150 = $12,750. Answer C. Recalculate: mills = per $1,000, so 150 mills = $150/$1,000 = $0.15. $85,000 × 0.15 = $12,750.
Q11. A Kansas property sells for $175,000. The commission rate is 6%. What is the total commission?
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