Why Math Trips People Up on This Exam
Many candidates panic when they think about the math portion of the Texas real estate exam. But here is the reality: the mathematics tested on the Pearson VUE exam do not require complex algebra or advanced calculus. It is entirely basic arithmetic—multiplication, division, addition, and subtraction.
The actual reason candidates fail math questions is because no formula sheet is provided at the testing center. You must memorize every formula beforehand, or you will not be able to answer the questions. Testing centers allow only simple non-programmable calculators, which means you have to know exactly which buttons to press.
💡 Looking for a structured preparation strategy?
Math is one of the top three weak spots candidates face on exam day. If you are struggling with a study schedule, use our 30-Day Texas Real Estate Study Plan to allocate specific days for formula review, and check out our guide on Common Exam Mistakes to Avoid to protect your score from content traps.
Commission Calculations
Commissions are always calculated as a percentage of the total sales price. However, real estate transactions almost always involve multiple commission splits: first between the listing broker and the cooperating buyer's broker, and then between each broker and their sponsored sales agent.
Core Formula
Worked Example:
A home sells for $350,000. The listing agreement specifies a 6% total commission. The listing broker agrees to split the commission equally (50/50) with the buyer's broker. Sales Agent Sarah is on a 70% split with her sponsoring buyer's broker. How much commission does Sarah earn?
Proration (Property Taxes)
Proration is the splitting of ongoing property expenses (like property taxes, HOA fees, or utilities) between the buyer and the seller as of the exact closing day.
For the Texas exam, standard guidelines assume a **360-day calendar year** (30 days per month) unless the question explicitly specifies a 365-day calendar. Taxes are paid in arrears, meaning the seller owes taxes for the portion of the year they owned the property, up to and including the closing day.
Core Formula (360-Day Method)
Worked Example:
An annual property tax bill of $5,400 is unpaid at the time of closing on April 18. Using a 360-day calendar year where the seller owns the closing day, what is the proration entry at closing?
Loan-to-Value (LTV) Ratio
LTV represents the percentage of a property's value that a lender is willing to finance. Crucially, lenders calculate LTV based on the lesser of either the sales price or the appraised value.
Core Formula
Worked Example:
A buyer purchases a home for $280,000. The property appraises for $275,000. The lender requires an 80% LTV ratio. What is the minimum down payment the buyer must make?
Square Footage & Area Calculations
For area calculations, you will need to find the total square footage of rectangular lots or translate larger acreage lots back to square feet. Memorizing the exact number of square feet in an acre is non-negotiable.
Core Constants & Formulas
Worked Example:
A commercial lot measures 150 feet wide by 320 feet deep. How many acres is this lot? (Round to two decimal places).
Quick-Reference Formula Sheet
| Concept | Formula | Key Constant |
|---|---|---|
| Commission | Sales Price × Commission % | Broker splits apply next |
| Tax Proration | (Annual Tax ÷ 360) × Days Owned | 360-day year is default |
| Loan-to-Value | Loan Amount ÷ Value | Use lesser of Price or Appraisal |
| Acreage | Total Square Footage ÷ 43,560 | 43,560 sq ft in 1 acre |
| Gross Rent Multiplier | Sales Price ÷ Gross Monthly Rent | GRM uses monthly rent |
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