Real estate math practice questions

Free real estate math questions on acreage, commission, LTV, points, prorations, cap rate, taxes and net to seller, worked step by step.

Official section: 7 questions

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Newly built blue two-story house with a yellow porch and a For Sale sign in the front yard

What this section covers: Area and acreage, Valuation, NOI and cap rate, property taxes, Commission, Loan costs, LTV, points, Settlement costs and prorations, Investment and property management.

5 free practice questions

Click an answer: you see at once whether it is right, with the explanation.

  1. Question 1A lender approves a $255,000 loan on a home valued at $300,000. What is the loan-to-value ratio?

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    Answer: C — 85%.

    LTV = loan / value = $255,000 / $300,000 = 0.85, or 85%.

    Checked against: National outline VIII.D.2 Loan to Value (LTV)

  2. Question 2A buyer pays 2 discount points on a $250,000 loan. How much do the points cost?

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    Answer: C — $5,000.

    One point equals 1% of the loan amount, not of the price. 2 points = $250,000 x 0.02 = $5,000.

    Checked against: National outline VIII.D.4 Amortization, discount points

  3. Question 3A $200,000 loan carries 6% annual interest. How much interest is due in the first month?

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    Answer: B — $1,000.

    Annual interest = $200,000 x 0.06 = $12,000; one month = $12,000 / 12 = $1,000.

    Checked against: National outline VIII.D.1 Interest

  4. Question 4An investor buys a building for $600,000. Its net operating income is $45,000 a year. What is the capitalization rate?

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    Answer: B — 7.5%.

    Cap rate = NOI / value = $45,000 / $600,000 = 0.075, or 7.5%.

    Checked against: National outline VIII.B.3 Capitalization rate

  5. Question 5Annual property taxes of $3,650 are paid in arrears and have not been paid this year. Closing is March 31 of a non-leap year. Use a 365-day year; the seller owns the day of closing. What is the tax proration?

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    Answer: B — $900 debit to the seller, credit to the buyer.

    Daily tax = $3,650 / 365 = $10. The seller owned the home January 1 to March 31: 31 + 28 + 31 = 90 days, so $900. The taxes are unpaid, and the buyer will pay the whole year's bill later, so the seller is debited $900 and the buyer credited $900.

    Checked against: National outline VIII.E.5 Prorated items; VIII.E.6 Debits and credits

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