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Quizzes > Business & Finance

Free Real Estate Math Practice Test: Loans, Commissions, Formulas

Quick, free quiz with real estate math questions. Instant results.

Editorial: Review CompletedCreated By: Eric CastleUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for real estate math practice test quiz on a coral background

This real estate math practice test helps you practice key formulas, loan payments, and commission splits so you can work faster and catch weak spots before your exam. If you're studying by state, try the California real estate practice exam and the Texas real estate practice test. For extra number skills, build speed with math calculation practice.

A rectangular parcel measures 660 ft by 1,320 ft. How many acres does it contain?
20 acres
25 acres
10 acres
15 acres
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A lot is 100 ft by 150 ft and priced at $50 per front foot. What is the price of the lot?
$5,000
$2,500
$7,500
$15,000
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A 12-acre tract sells for $300,000. What is the price per acre?
$20,000 per acre
$24,000 per acre
$30,000 per acre
$25,000 per acre
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A borrower pays 2 discount points on a $250,000 loan. How much do the points cost?
$1,250
$7,500
$2,500
$5,000
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A property rents for $2,000 per month. Using a GRM of 150, what is the indicated value?
$150,000
$225,000
$360,000
$300,000
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An investor puts $100,000 cash into a property and receives $12,000 pre-tax cash flow in the first year. What is the cash-on-cash return?
8%
10%
6%
12%
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A lender charges a 1% loan origination fee on a $320,000 loan. What is the fee?
$3,200
$3,000
$1,600
$2,400
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A home sells for $350,000 with a 6% total commission split 50/50 between listing and selling brokers. The listing agent's split is 60% of the listing broker's share. How much does the listing agent receive?
$7,200
$6,300
$10,500
$5,400
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An investment property has NOI of $36,000. If the market cap rate is 8%, what is the value?
$324,000
$450,000
$288,000
$480,000
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Potential gross income is $120,000. Vacancy is 5% and operating expenses are $35,000. What is NOI?
$79,000
$76,000
$85,000
$81,000
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A $300,000 loan at 5% annual interest is amortized monthly. What is the interest portion of the first month's payment?
$1,250.00
$1,150.00
$1,000.00
$1,375.00
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A rental house has a building value of $275,000 and land value of $75,000. Using 27.5-year straight-line depreciation on the building only, what is the annual depreciation?
$7,500
$12,000
$10,000
$9,000
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A home valued at $240,000 increases by 6% in year one, then decreases by 3% in year two. What is the value after two years?
$246,768
$248,400
$251,280
$238,920
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A borrower's gross monthly income is $8,000. The lender allows a 36% back-end ratio. If other monthly debts total $500, what is the maximum PITI allowed?
$2,880
$2,380
$2,240
$2,500
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A seller wants to net $250,000 after paying a 5% commission and $3,000 in closing costs. What sale price is required?
$263,157.89
$266,315.79
$268,421.05
$256,842.11
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Annual property taxes of $4,380 are paid in full by the seller. Closing is September 15 using the 30/360 method, day of closing to the seller. What is the buyer's tax proration (credit to seller)?
$1,206.00
$1,314.00
$1,240.00
$1,277.50
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Operating expenses are $180,000 and annual debt service is $90,000. Potential gross income is $300,000. What is the break-even occupancy rate?
85%
75%
80%
90%
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A state transfer tax is $2 per $500 (or fraction thereof) of consideration. If a property sells for $275,300, what is the transfer tax? (Round up the taxable units.)
$1,102
$1,101
$1,100
$1,104
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Annual HOA dues of $1,200 were paid by the seller. Closing is March 10 using 30/360, day of closing to the seller. What is the buyer's proration (credit to seller)?
$966.67
$990.00
$950.00
$933.33
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Annual taxes are $7,300 and are unpaid. Using the 365-day method with day of closing to buyer, if closing is April 25, what is the seller's share (Jan 1 to Apr 24)?
$2,226.03
$2,372.60
$2,280.00
$2,043.84
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Study Outcomes

  1. Understand Essential Formulas -

    Identify and recall the fundamental real estate math formulas for loan amortization, commission calculations, and property tax assessments.

  2. Calculate Loan Amortizations -

    Compute monthly mortgage payments, principal - interest breakdowns, and remaining balances using standard amortization formulas.

  3. Apply Commission Calculations -

    Determine sales commissions, net proceeds, and markup percentages accurately in various real estate transaction scenarios.

  4. Analyze Practice Test Results -

    Review detailed explanations for real estate math practice questions to identify strengths, correct misconceptions, and reinforce key concepts.

  5. Utilize PDF-Style Worksheets -

    Leverage real estate math practice worksheets pdf style problems to target specific areas for study and improve calculation speed and accuracy.

  6. Evaluate Problem-Solving Strategies -

    Compare different mathematical approaches for property calculations and choose the most efficient method for each scenario.

Cheat Sheet

  1. Commission Calculations -

    Agents calculate their fee by multiplying the sales price by the commission rate (e.g., 6% of $300,000 equals $18,000). This formula - Commission = Sales Price × Commission Rate - is a staple in real estate math practice questions and is often featured in real estate math practice worksheets pdf. Remember the mnemonic "CR × SP = CF" (Commission Fee) to lock in this essential step.

  2. Loan Amortization Formula -

    Monthly mortgage payments can be found with M = P [i(1+i)^n] ÷ [(1+i)^n - 1], where P is principal, i is monthly interest rate, and n is number of payments. According to Freddie Mac and many university finance courses, mastering this formula is crucial for your real estate math practice test. Try plugging in P = $200,000, i = 0.004 (4.8% APR/12), and n = 360 to see a sample payment of about $1,050.

  3. Prorations and Daily Rate Adjustments -

    Prorations involve dividing annual costs (taxes, insurance, rent) by 365 days to find a daily rate, then multiplying by days owed. For example, $2,190 annual taxes ÷ 365 = $6 per day; buyer reimburses seller for days unused. This concept shows up frequently on real estate math practice test questions and tests your pro-rata prowess.

  4. Area and Volume Conversions -

    Know that 1 acre = 43,560 sq ft and 1 cubic yard = 27 cubic ft when calculating lot size or fill dirt. Real estate math questions often ask you to convert acreage to square feet or calculate soil volume for landscaping. A quick trick: "43K in an Acre" helps you recall the square-foot equivalent.

  5. Capitalization Rate and NOI -

    Cap rate is the ratio of net operating income (NOI) to property value: Cap Rate = NOI ÷ Value. If a building's NOI is $50,000 and its market value is $625,000, the cap rate is 8%. This formula appears in many real estate formulas math sections and is vital for assessing investment returns.

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