Mathematics Key Terms
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Questions and Answers

A developer purchases 5 acres of land to build houses. What is the total square footage of the land?

  • 87,120 square feet
  • 43,560 square feet
  • 261,360 square feet
  • 217,800 square feet (correct)

A real estate broker sells a property for $250,000 and earns a 3% commission. What is the commission amount?

  • $5,000
  • $2,500
  • $7,500 (correct)
  • $10,000

A property has 75 feet of frontage on a street. If similar properties in the area sell for $500 per front foot, what is the estimated value of the frontage?

  • $18,750
  • $37,500 (correct)
  • $37,500,000
  • $3,750

A rental property generates $60,000 in gross income annually and has $20,000 in operating expenses. What is the net income?

<p>$40,000 (A)</p> Signup and view all the answers

A farmer owns a field that measures 2 hectares. How many square meters does the field cover?

<p>20,000 square meters (A)</p> Signup and view all the answers

A borrower takes out a $200,000 mortgage at an annual interest rate of 5%. What is the annual interest paid on the loan?

<p>$10,000 (B)</p> Signup and view all the answers

A homebuyer obtains a $300,000 mortgage and pays 2 points at closing. What is the dollar amount paid for the points?

<p>$6,000 (C)</p> Signup and view all the answers

An investor makes a principal payment of $5,000 on their mortgage. If the original loan was $250,000, what is the remaining loan balance after the principal payment?

<p>$245,000 (D)</p> Signup and view all the answers

A city has a total taxable assessed value of $500 million and needs to collect $10 million in real property taxes. What is the real property tax rate, expressed in dollars per hundred?

<p>$2 per hundred (C)</p> Signup and view all the answers

A property has a gross income of $80,000 and operating expenses (excluding interest) of $30,000. The annual interest payment on the mortgage is $10,000. What is the property's Net Operating Income before considering the interest payment?

<p>$50,000 (B)</p> Signup and view all the answers

Flashcards

Acre

A measure of land equaling 43,560 square feet.

Commission

A sum due a real estate broker for services in that capacity.

Front Foot

Refers to the length of a parcel facing a street.

Gross Income

Total income from property before any expenses are deducted.

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Net Income

The result of subtracting expenses from income.

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Hectare

Equal to 10,000 square meters.

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Interest

A fee paid by the borrower of a loan as a form of compensation for the use of money.

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Point

Equal to one percent of a loan amount.

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Principal

A sum of money lent or invested on which interest is paid.

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Real Property Tax Rate

The tax levy divided by the total taxable assessed value of a taxing jurisdiction.

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Study Notes

  • Acre: Land measurement equaling 43,560 square feet.
  • Commission: Payment due to a real estate broker for their services.
  • Front Foot: The length of a property that faces a street.
  • Gross Income: The total income from a property before expenses are deducted.
  • Net Income: The income remaining after expenses are subtracted.
  • Hectare: An area equivalent to 10,000 square meters.
  • Interest: Fee paid by a borrower for the use of money.
  • Point: One percent of a loan amount; for instance, one point on a $100,000 loan is $1,000.
  • Principal: The original sum of money that is lent or invested, which accrues interest.
  • Real Property Tax Rate: Calculated by dividing the tax levy by the total taxable assessed value; expressed in dollars per thousand, dollars per hundred, or mills.

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Description

Definitions of real estate and finance terms. Includes land measurement, payments, and property valuation. Covers concepts like acreage, commission, gross and net income, interest, and property tax rates.

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