Texas Real Estate Exam Math: Every Formula You Need to Know

The Texas Real Estate Sales Agent exam tests several categories of math, and candidates who ignore them risk failing either the national or state portion. Every formula covered here appears in the exam's math-related questions, with worked examples showing exactly how to apply each one.

Why Math Matters on the Texas Exam

The Texas exam is administered by Pearson VUE on behalf of TREC and consists of two separate portions. The national portion consists of 85 questions total, of which 80 are scored and 5 are unscored pretest items; candidates must answer 56 of the 80 scored questions correctly to pass. The state portion consists of 50 questions total, of which 40 are scored and 10 are unscored pretest items; candidates must answer 28 of the 40 scored questions correctly to pass. Math calculations are covered on the national portion. Missing a cluster of formula-based questions can push a score below the required threshold, so every topic deserves attention.

For additional practice on all exam topics, see the practice questions at AhaPrep.

1. Prorations

Prorations divide ongoing costs, typically property taxes or HOA dues, between buyer and seller based on the closing date. Proration questions will specify whether to use a 360-day or 365-day year and which party owns the closing day. Read each question carefully for the convention it states before calculating.

The Formula

• Annual amount divided by 365 equals the daily rate
• Daily rate multiplied by the number of days the seller owned the property in the proration period equals the seller's share

Worked Example

Annual property taxes are $3,650. Closing is on March 31. The seller is responsible for January 1 through March 31, which is 90 days.

• Daily rate: $3,650 divided by 365 equals $10.00 per day
• Seller's share: $10.00 multiplied by 90 days equals $900.00

The seller would owe the buyer a $900 credit at closing, or it would be deducted from the seller's proceeds, depending on the contract terms.

2. Commission Splits

Commission problems test two skills: calculating the total commission from a sale price, and then splitting it correctly between brokers and agents according to the stated agreement.

The Formula

• Sale price multiplied by commission rate equals total commission
• Total commission multiplied by split percentage equals each party's share

Worked Example

A home sells for $320,000. The listing agreement specifies a 6% total commission, split 50/50 between listing broker and buyer's broker. The listing broker then pays the listing agent 60% of the listing broker's share.

• Total commission: $320,000 multiplied by 0.06 equals $19,200
• Listing broker's share: $19,200 multiplied by 0.50 equals $9,600
• Listing agent's share: $9,600 multiplied by 0.60 equals $5,760

Multi-step commission questions are common. Work through each split in sequence and avoid combining steps.

3. Loan-to-Value Ratio (LTV)

Lenders use loan-to-value ratio to assess risk. Exam questions may ask for the LTV percentage, the required loan amount, or the minimum down payment needed to achieve a specific LTV target.

The Formula

• Loan amount divided by appraised value (or sale price, whichever is lower) equals LTV, expressed as a percentage

Worked Example

A buyer purchases a home for $280,000 with a down payment of $56,000.

• Loan amount: $280,000 minus $56,000 equals $224,000
• LTV: $224,000 divided by $280,000 equals 0.80, or 80%

Reverse the formula when the question gives the LTV and asks for the loan amount or down payment. For example, a 90% LTV on a $280,000 property means the loan is $252,000 and the down payment is $28,000.

4. Capitalization Rate (Cap Rate)

Cap rate measures the return on an income-producing property before financing costs. It appears on the national exam section in questions involving investment property valuation.

The Formula

• Net operating income (NOI) divided by property value equals cap rate
• Rearranged: NOI divided by cap rate equals property value
• Rearranged: NOI equals property value multiplied by cap rate

Worked Example

A small apartment building generates $48,000 in gross annual rent. Vacancy and operating expenses reduce that to a net operating income of $36,000. Similar properties in the area sell at an 8% cap rate. What is the estimated property value?

• Property value: $36,000 divided by 0.08 equals $450,000

Pay close attention to whether the question gives gross income or NOI. The cap rate formula always uses NOI, not gross rent.

5. Gross Rent Multiplier (GRM)

GRM is a quick valuation shortcut for residential income properties. Unlike cap rate, it uses gross rent, not NOI, and it does not account for vacancies or expenses. The exam tests both how to calculate GRM and how to apply it to estimate value.

The Formula

• Sale price divided by gross annual rent equals GRM
• Rearranged: gross annual rent multiplied by GRM equals estimated value

Worked Example

Three comparable rental homes in a neighborhood sold recently. Their GRMs were 10.5, 11.0, and 10.5, giving an average GRM of approximately 10.67. A subject property generates $24,000 in gross annual rent.

• Estimated value: $24,000 multiplied by 10.67 equals approximately $256,000

GRM problems on the exam often require you to derive the multiplier from comparables first, then apply it. Practice both steps together.

6. Texas Transfer Taxes and Recording Fees

This is one of the most frequently confused areas for candidates who have studied materials written for Florida or other states. Texas does not have a documentary stamp tax or a transfer tax on real estate sales. Florida charges documentary stamp taxes on the deed and on the note; Texas does not.

What Texas does impose are recording fees charged by the county clerk's office to record the deed, deed of trust, and other instruments. These fees are set by the county and are based on the number of pages recorded, not on the sale price. Exam questions about Texas-specific transaction costs focus on which party customarily pays recording fees and how those costs appear on the settlement statement, not on a percentage-of-sales-price tax calculation.

Exam candidates should understand:

• Texas has no real property transfer tax at the state level
• Texas has no documentary stamp tax on deeds or promissory notes
• County recording fees apply per page and vary by county
• The seller typically pays to record a release of lien; the buyer typically pays to record the deed and deed of trust

If an exam question asks about documentary stamp taxes in a Texas context, read carefully. The question may be testing whether you know Texas does not have them, or it may include the concept as part of a national portion question referencing general real estate principles rather than Texas-specific law.

Putting It All Together: Study Strategy for Math

Running through formulas once is not enough. The most effective approach is to practice each formula in both directions, solve for the unknown variable that changes from question to question, and then work under timed conditions. AhaPrep recommends tracking your accuracy by category and prioritizing the areas where your practice results show the most errors, rather than spending equal time on every topic regardless of performance.

For more exam-specific guidance, visit the Texas exam blog.

Frequently Asked Questions

AhaPrep is a Texas-focused exam prep app built around the exact content areas covered on the TREC licensing exam. Candidates looking for targeted math practice, full-length simulations, and state-specific question sets can get started at AhaPrep's Texas exam prep page.