Missouri Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Missouri 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 Missouri Real Estate Commission does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Missouri 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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Missouri Real Estate Math — Practice Questions & Answers
172 questions on Real Estate Math from the Missouri real estate question bank. First 10 are free — sign up to unlock all 172.
Q1. A Missouri property owner bought a home for $220,000 and later sold it for $285,000. What was the percentage gain?
Explanation
Gain = $285,000 − $220,000 = $65,000. Percentage gain = $65,000 ÷ $220,000 = 0.2954 = approximately 29.5%.
Q2. A Missouri home is assessed at 19% of its $350,000 market value. The tax rate is $8.00 per $100 of assessed value. What is the annual tax?
Explanation
Assessed value = $350,000 × 19% = $66,500. Annual tax = ($66,500 ÷ $100) × $8.00 = 665 × $8.00 = $5,320.
Q3. A buyer in Missouri makes a 5% down payment on a $310,000 home and pays 2 discount points. What is the total cost of the discount points?
Explanation
Down payment = $310,000 × 5% = $15,500. Loan amount = $310,000 − $15,500 = $294,500. Each point = 1% of loan. 2 points = 2% × $294,500 = $5,890.
Q4. A Missouri rental property has an annual net operating income (NOI) of $21,000. An investor requires an 8% return (cap rate). What is the maximum price the investor should pay for this property?
Explanation
Value = NOI ÷ Cap rate = $21,000 ÷ 0.08 = $262,500. This is the income capitalization approach: the present value of the income stream at the required rate of return.
Q5. A Missouri home sells for $185,000. The buyer pays a 20% down payment. What is the loan amount?
Explanation
Down payment = $185,000 × 20% = $37,000. Loan amount = $185,000 − $37,000 = $148,000.
Q6. A Missouri listing agent charges a 6% commission on a $275,000 sale. If the commission is split 50/50 between listing and selling broker, how much does the listing broker receive?
Explanation
Total commission = $275,000 × 6% = $16,500. Split 50/50: listing broker receives $16,500 ÷ 2 = $8,250. Wait—each broker receives $8,250, so answer A is correct. Re-check: $16,500 total; listing broker's share = $8,250.
Q7. Missouri residential property is assessed at 19% of market value. If a home has a market value of $220,000, what is the assessed value?
Explanation
Assessed value = $220,000 × 19% = $41,800. Missouri assesses residential property at 19% of true value in money for property tax purposes.
Q8. Annual property taxes on a Missouri home are $3,600. If taxes are prorated at closing on June 30 (seller responsible through closing), how much does the seller owe?
Explanation
June 30 = 6 months into the year. Seller's portion = $3,600 × (6/12) = $1,800.
Q9. A buyer's agent in Missouri earns 3% of the sales price. The home sold for $320,000. What is the agent's commission?
Explanation
Commission = $320,000 × 3% = $9,600.
Q10. A Missouri investor purchases a duplex for $180,000 and collects $1,200/month per unit. What is the gross rent multiplier (GRM)?
Explanation
Monthly gross rent = 2 units × $1,200 = $2,400. GRM = $180,000 ÷ $2,400 = 75.
Q11. A Missouri property has an NOI of $24,000 and a cap rate of 8%. What is the estimated value using income capitalization?
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