Real Estate Math Exam Questions
Real Estate Math accounts for 12% of the exam and covers essential calculations including commission problems, property tax prorations, mortgage interest, area and volume measurements, capitalization rates, gross rent multipliers, and closing cost calculations. While math anxiety is common among test-takers, most real estate math uses basic arithmetic with a handful of standard formulas — no advanced mathematics required. The T-bar method (also called the "magic T") is an invaluable tool for solving proportion problems, and mastering key formulas like Commission = Sale Price x Rate and Cap Rate = NOI / Value will unlock many questions. Practice daily with timed problems to build speed and confidence, and always verify your answer by working backwards.
What You Need to Know About Real Estate Math
Real Estate Math is one of the highest-weighted exam topics and the one that causes the most anxiety for test-takers. The good news is that most real estate math uses basic arithmetic with a handful of standard formulas — no advanced mathematics required.
The most important formulas to memorize are: Commission = Sale Price × Rate, Cap Rate = NOI ÷ Value (or Value = NOI ÷ Cap Rate), GRM = Price ÷ Annual Gross Rent, LTV = Loan Amount ÷ Appraised Value, and Property Tax = Assessed Value × Tax Rate. The T-bar method (also called the "magic T") is your best friend for solving proportion problems — put the total on top and the two parts that multiply to equal it on the bottom.
Prorations at closing are frequently tested and require careful attention to dates and the direction of charges. Remember that the seller is responsible for costs through the day of closing and the buyer from the day after. Interest on mortgage loans is paid in arrears (for the previous month), while property taxes and HOA dues are typically paid in advance. Practice converting between annual, monthly, and daily amounts, and always double-check whether a question asks for monthly or annual figures.
- Master the T-bar method for proportion problems (total on top, parts on bottom)
- Commission = Sale Price × Rate; Cap Rate = NOI ÷ Value; GRM = Price ÷ Gross Rent
- Prorations: Seller pays through closing day; interest paid in arrears, taxes in advance
- Always check if the question asks for monthly or annual figures before calculating
Sample Math Questions
200+ in bank$285,000 sale, 6%:
A triangular lot has a base of 200 feet and a height of 150 feet. What is the area of the lot?
Gross income $60,000, expenses $22,000. NOI:
Annual property taxes are $2,400, paid in arrears. Closing is August 1 (using a 360-day year, 30-day months). The closing day belongs to the buyer. How much does the seller owe the buyer at closing?
A property generates a net operating income (NOI) of $40,000 per year. Using a capitalization rate of 8%, what is the estimated value of the property?
An income-producing property generates a net operating income (NOI) of $35,000 annually. Using a capitalization rate of 7%, what is the estimated value of the property?
A seller closes on a property for $500,000. The commission is 6%, other seller closing costs are $4,500, and the existing mortgage payoff is $150,000. What are the seller's net proceeds before any tax effects?
A seller wants to net $250,000 after paying a 6% commission and has no other closing costs to consider. What sale price is needed?
A property sells for $220,000 and generates monthly rent of $1,600. What is the Gross Rent Multiplier (GRM)?
175 ft × 200 ft lot:
A single-family residential property in Mississippi has a market value of $190,000. The local mill rate is 20 mills. Using Mississippi's residential assessment ratio of 10%, what is the annual property tax?
Annual property taxes are $4,800. Using a 360-day year (30 days per month), closing occurs on September 1 and the closing day belongs to the buyer. How much does the seller owe the buyer as a tax proration credit?
$310,000 sale, 3%/2.5%. Selling agent 70/30:
A buyer purchases a home for $258,000 with a 20% down payment. What is the amount of the mortgage loan?
A property has a net operating income of $42,000 and a capitalization rate of 7%. What is the estimated value of the property?
Frequently Asked Questions
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