Oregon Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Oregon real estate exam and test a focused set of calculations: commission splits, prorations (property tax, rent, interest), loan-to-value ratios, appreciation and depreciation, and area calculations. The Oregon Real Estate Agency does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Oregon candidates consistently lose points on proration questions because they apply the wrong day-count convention (360-day vs. 365-day year) or miscalculate the seller's vs. buyer's share. Work through every problem in this section until you can solve each type without hesitation.
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Oregon Real Estate Math — Practice Questions & Answers
126 questions on Real Estate Math from the Oregon real estate question bank. First 10 are free — sign up to unlock all 126.
Q1. A property in Oregon has a market value of $480,000 and is assessed at 90% of market value. The tax rate is $12.50 per $1,000 of assessed value. What is the annual property tax?
Explanation
Assessed value: $480,000 × 0.90 = $432,000. Annual tax: $432,000 × ($12.50 ÷ $1,000) = $432,000 × 0.0125 = $5,400.
Q2. A buyer purchases a home for $390,000 with a 10% down payment. The lender charges 2 discount points at closing. How much does the buyer pay in discount points?
Explanation
Down payment: $390,000 × 0.10 = $39,000. Loan amount: $390,000 − $39,000 = $351,000. Points are calculated on the loan amount: $351,000 × 0.02 = $7,020.
Q3. A seller nets $342,000 after paying a 6% commission. What was the gross sale price?
Explanation
The seller nets 94% of the sale price (100% − 6%). Sale price = $342,000 ÷ 0.94 = $363,829.79, rounded to $363,830.
Q4. A commercial property has a gross annual income of $120,000, vacancy loss of 5%, and operating expenses of $40,000. What is the net operating income (NOI)?
Explanation
Effective gross income (EGI): $120,000 × (1 − 0.05) = $120,000 × 0.95 = $114,000. NOI = EGI − Operating Expenses = $114,000 − $40,000 = $74,000.
Q5. A property sold for $525,000. The listing broker and selling broker split the 5.5% commission equally. How much does each broker receive?
Explanation
Total commission: $525,000 × 0.055 = $28,875. Each broker receives half: $28,875 ÷ 2 = $14,437.50.
Q6. A buyer takes out a 30-year fixed-rate mortgage for $280,000 at 7% annual interest. What is the approximate monthly interest charge for the first month?
Explanation
Monthly interest = Principal × (Annual rate ÷ 12) = $280,000 × (0.07 ÷ 12) = $280,000 × 0.005833 = $1,633.33 for the first month. The actual monthly payment would be higher to include principal repayment.
Q7. A property has an assessed value of $320,000. Oregon's property tax rate is $15 per $1,000 of assessed value. The semi-annual tax installment is:
Explanation
Annual tax: $320,000 × ($15 ÷ $1,000) = $320,000 × 0.015 = $4,800. Semi-annual installment: $4,800 ÷ 2 = $2,400.
Q8. A lot measuring 150 feet × 200 feet is for sale at $3.50 per square foot. What is the listing price?
Explanation
Area: 150 × 200 = 30,000 sq ft. Price: 30,000 × $3.50 = $105,000.
Q9. A property is listed for $450,000. The buyer offers $430,000, and the seller counters at $441,000. The buyer accepts. What commission does the listing broker earn on a 6% full commission split 50/50 with the buyer's broker?
Explanation
Sale price: $441,000. Total 6% commission: $441,000 × 0.06 = $26,460. Listing broker's 50% share: $26,460 ÷ 2 = $13,230.
Q10. A property is purchased for $600,000. The buyer makes a 20% down payment and finances the rest. The lender charges a 1% origination fee. What is the origination fee?
Explanation
Loan amount: $600,000 × (1 − 0.20) = $600,000 × 0.80 = $480,000. Origination fee: $480,000 × 0.01 = $4,800.
Q11. An investor buys a property for $250,000 and sells it 3 years later for $310,000. What is the percentage gain on the original investment?
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