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 bankAn 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 property sells for $275,000 with a 6% commission rate. What is the total commission earned?
A property sells for $245,000 with a total commission rate of 6%. What is the total commission earned?
A property generates a net operating income (NOI) of $30,000 per year. Using a capitalization rate of 6%, what is the estimated property value?
A lender uses a 28% front-end qualifying ratio. If a borrower's gross monthly income is $4,800, what is the maximum allowable monthly housing payment?
A borrower takes out an interest-only loan of $180,000 at an annual interest rate of 5%. What is the interest due for the first month?
Annual property taxes on a home are $2,400. The property closes on June 1. Using a 360-day banker's year and assuming taxes are paid in arrears, what is the amount the seller owes the buyer as a tax proration credit?
A buyer purchases a home for $200,000 and makes a 15% down payment. What is the loan amount?
A property is assessed at $190,000 with a mill rate of 20. What is the annual property tax?
A property sells for $220,000 and generates monthly gross rent of $1,600. What is the Gross Rent Multiplier (GRM)?
A property is purchased for $175,000 and appreciates at 4% per year compounded annually. What is the property's value after 2 years?
A property sells for $280,000. The listing broker charges a 3% commission and the buyer's broker charges 2.5%. The selling agent receives 65% of the buyer's broker commission. What does the selling agent earn?
A buyer purchases a home for $258,000 with a 20% down payment. What is the amount of the mortgage loan?
Annual property taxes are $3,600. The property closes on July 1 and taxes are paid in arrears. Using a 360-day year (30 days per month), what is the seller's proration debit (amount the seller owes the buyer at closing)?
A borrower takes out a $250,000 mortgage at a 5% annual interest rate. What is the interest portion of the first month's payment?
Frequently Asked Questions
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