Texas Real Estate Sales Agent — All Questions

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60 questions

Real Estate Math

An investor buys a property for $180,000 and spends $20,000 on repairs, then sells it for $230,000. What is the percentage of profit based on total cost?

  • a.25% based on ignoring the repair costs when figuring total cost
  • b.13% based on dividing the profit by the higher final selling price
  • c.27.8% based on dividing profit by only the original purchase price
  • d.15%✓

Total cost is $180,000 + $20,000 = $200,000, and profit is $230,000 - $200,000 = $30,000. Divide profit by total cost: $30,000 / $200,000 = 0.15, or 15%.

Real Estate Math

Annual property taxes are $3,650, and a 365-day year is used for proration. The seller owned the property for 90 days of the tax year before a closing, with taxes paid in arrears. What is the seller's prorated share?

  • a.$3,650, charging the seller for the entire year regardless of days owned
  • b.$90, charging the seller for only a single day of the tax year
  • c.$1,825, charging the seller for exactly half of the annual tax bill
  • d.$900✓

Daily tax is $3,650 / 365 = $10. The seller owned 90 days, so the seller's share is $10 x 90 = $900 in a taxes-in-arrears proration.

Real Estate Math

A retail tenant pays base rent of $2,000 per month plus 5% of annual gross sales over $500,000. If annual sales are $700,000, what is the total annual rent under this percentage lease?

  • a.$34,000✓
  • b.$10,000, counting only the percentage rent and omitting the base rent
  • c.$24,000, counting only the base rent and omitting the percentage rent
  • d.$59,000, applying the 5% to all sales rather than only sales over the breakpoint

Percentage rent is 5% of ($700,000 - $500,000) = 5% x $200,000 = $10,000. Add annual base rent of $2,000 x 12 = $24,000, for total rent of $34,000.

Real Estate Math

A home purchased for $250,000 is now worth $325,000. What is the percentage increase in value?

  • a.30%✓
  • b.13% based on dividing the gain by twice the original purchase price
  • c.75% based on treating the raw dollar gain as the percentage figure
  • d.23% based on dividing the gain by the new, higher value of the home

The gain is $325,000 minus $250,000, or $75,000. Divide by the original value: $75,000 / $250,000 = 0.30, or 30%.

Real Estate Math

A buyer pays 1.5 points on a loan of $320,000. How much do the points cost?

  • a.$4,800✓
  • b.$480 based on treating each point as one-tenth of one percent of the loan
  • c.$3,200 based on treating the charge as a single point on the loan
  • d.$48,000 based on treating the points as fifteen percent of the loan amount

Each point is 1% of the loan, so 1.5 points equal 1.5% of $320,000: $320,000 x 0.015 = $4,800.

Real Estate Math

A total commission of $28,800 was paid on a $480,000 sale and split 50/50 between the two brokerages. How much did the listing brokerage receive?

  • a.$7,200, giving the listing brokerage only a quarter of the commission
  • b.$9,600, splitting the commission three ways instead of two
  • c.$14,400✓
  • d.$28,800, giving the entire commission to the listing brokerage alone

The total commission of $28,800 (which is $480,000 x 6%) is split evenly, so each brokerage receives $28,800 / 2 = $14,400.

Real Estate Math

A buyer purchases a $280,000 home with 20% down and pays closing costs equal to 3% of the loan amount. What is the total cash the buyer needs at closing?

  • a.$8,400, counting only the closing costs and omitting the down payment
  • b.$62,720✓
  • c.$56,000, counting only the down payment and omitting the closing costs
  • d.$64,400, calculating the closing costs on the price rather than the loan

The down payment is $280,000 x 20% = $56,000, and the loan is $224,000. Closing costs are $224,000 x 3% = $6,720, so total cash needed is $56,000 + $6,720 = $62,720.

Real Estate Math

A borrower's gross monthly income is $6,000. Using a 28% front-end (housing) qualifying ratio, what is the maximum monthly housing payment (PITI)?

  • a.$2,160, applying a 36% back-end ratio rather than the 28% housing ratio
  • b.$600, applying a 10% ratio rather than the stated 28% housing ratio
  • c.$840, applying a 14% ratio rather than the stated 28% housing ratio
  • d.$1,680✓

Multiply gross monthly income by the ratio: $6,000 x 0.28 = $1,680, the maximum monthly PITI under a 28 percent front-end guideline.

Real Estate Math

A parcel measures 200 feet by 435.6 feet. How many acres does it contain? (One acre = 43,560 square feet.)

  • a.1 acre, ignoring one of the two dimensions when computing the area
  • b.0.2 acres, dividing the square footage by ten times the acre conversion
  • c.20 acres, dividing the square footage by a figure one hundred times too small
  • d.2 acres✓

The area is 200 x 435.6 = 87,120 square feet. Divide by 43,560 square feet per acre: 87,120 / 43,560 = 2 acres.

Real Estate Math

A buyer makes a $48,000 down payment, which is 15% of the purchase price. What is the purchase price of the home?

  • a.$276,000, subtracting fifteen percent from an assumed higher price
  • b.$55,200, adding fifteen percent onto the down payment amount
  • c.$320,000✓
  • d.$7,200, treating the down payment as the answer's fifteen percent instead

If $48,000 is 15% of the price, then price = $48,000 / 0.15 = $320,000. Checking: $320,000 x 15% = $48,000.

How hard is the exam?

The Texas TREC sales-agent exam has a national portion (80 scored questions) and a Texas portion (40 scored questions), each passed separately — 56 of 80 and 28 of 40 correct — in 240 minutes total through Pearson VUE. Real estate sales agents earn a median of about $56,320/year (BLS, May 2024).

Recommended study hours
Study the national and Texas portions separately; plan weeks of review and timed practice for each.
Pass rate
TREC publishes first-attempt pass rates — defined as passing both the national and state portions on the first attempt — but only per education provider, and the table is generated on demand rather than stated as a statewide number. We did not obtain a statewide figure, so we do not state one. The “around 57%” that circulates is not a TREC publication.Source: TREC — Provider Exam Passage Rates for Sales Agents and Brokers
Where to focus first
Real Estate Principles, Agency Law and Contracts are the heaviest areas — the core of the national portion.

Fees and salaries are approximate and change over time. The pass rate above is quoted from the source linked beside it, for the period that source covers — where we have not checked a source, we say so and give no number.

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