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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.

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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.

Study Tips for Math
  • 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
1

Find the annual GRM for a 4-unit building in Detroit Michigan with an asking price of $300,000 and gross annual rents of $25,000.

2

A property has annual property taxes of $3,600. The seller paid taxes through December 31, but the sale closes on October 1. How much does the seller owe the buyer as a proration?

3

The buyer gets a $280,000 mortgage in Florida. The intangible tax is:

4

A property sells for $350,000 in Florida. The documentary stamp tax on the deed is:

5

What is the interest rate on a $200,000 loan requiring an annual interest payment of $8,000?

6

A rectangular lot measures 105 feet by 110 feet. What is the lot area in square feet?

7

A property's value is $150,000 today. What was the original cost if it lost 25% of value over ten years?

8

Jane learns that a lakefront property sold for $700,000 with 400 feet of lake frontage. About how much per front foot?

9

A property is assessed at $250,000. The tax rate is $2.50 per $100. What is the annual tax?

10

A triangular lot has a base of 200 feet and a height of 150 feet. What is the area of the lot?

11

A property sells for $325,000. If the commission is 6%, split equally between listing and selling brokers, what does each broker receive?

12

A property's value is $91,000 today. What was the original cost if it lost 35% of value over five years?

13

A buyer takes a $250,000 mortgage in Florida. What is the intangible tax?

14

A home you listed sells for $400,000. Your broker receives 6% and you receive 45% of their check. How much do you receive?

15

A property's value is $150,000 today. What was the original cost if it lost 25% of value over ten years?

Frequently Asked Questions

What is Real Estate Math on the licensing exam?
Real Estate Math covers the calculations that agents use in practice, including commission calculations, property tax prorations, mortgage interest calculations, area and volume measurements, capitalization rate problems, gross rent multiplier, loan-to-value ratios, and closing cost calculations. Math questions are straightforward if you know the formulas.
How many math questions are on the real estate exam?
Real Estate Math accounts for approximately 12% of the exam, making it one of the highest-weighted topics with roughly 12-18 questions. While this may seem daunting, most math questions use only basic arithmetic with a few standard formulas.
What percentage of the exam covers Real Estate Math?
Real Estate Math makes up about 12% of the exam. Key calculation types include: commission problems, property tax calculations, loan interest and amortization, prorations at closing, area and volume measurements, cap rate and GRM, and transfer tax calculations.
How to study Real Estate Math for the exam?
Focus on: (1) Memorize key formulas (Commission = Sale Price × Rate, Cap Rate = NOI / Value, GRM = Price / Gross Rent), (2) Practice the T-bar method for solving proportion problems, (3) Work through proration calculations step-by-step, (4) Use practice problems daily until formulas become automatic, (5) Always check your answer by working backwards.
What are common mistakes on Real Estate Math exam questions?
Common mistakes include: not converting percentages to decimals, confusing net and gross in commission splits, wrong proration direction (debit vs. credit to buyer/seller), mixing up cap rate and GRM formulas, area calculation errors (forgetting to convert units), and not reading the question carefully (annual vs. monthly figures).
Can I use a calculator on the real estate exam?
Most states provide a basic on-screen calculator for the exam, and some allow you to bring a simple, non-programmable calculator. Check with your state's testing provider (PSI, Pearson VUE, etc.) for specific calculator policies. Practice using the same type of calculator you will use on exam day.

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