Alaska Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Alaska 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 Alaska Real Estate Commission does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Alaska 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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Alaska Real Estate Math — Practice Questions & Answers
138 questions on Real Estate Math from the Alaska real estate question bank. First 10 are free — sign up to unlock all 138.
Q1. A property sells for $350,000. The buyer makes a 20% down payment. What is the loan amount?
Explanation
Down payment = $350,000 × 20% = $70,000. Loan amount = $350,000 − $70,000 = $280,000. A 20% down payment eliminates the need for PMI on a conventional loan.
Q2. A commercial property sells for $750,000. The total commission is 6%, split 50/50 between the listing and selling broker. The listing broker pays their salesperson 70% of the listing broker's share. What is the listing salesperson's commission?
Explanation
Total commission = $750,000 × 6% = $45,000. Each broker's share = $45,000 ÷ 2 = $22,500. Listing salesperson's share = $22,500 × 70% = $15,750.
Q3. A seller wants to net $225,000 after paying a 6% commission. What must the property sell for (rounded to the nearest dollar)?
Explanation
Net to seller = Sale price × (1 − commission rate). $225,000 = Sale price × 0.94. Sale price = $225,000 ÷ 0.94 = $239,361. The seller must list and sell for approximately $239,361 to net $225,000 after paying the 6% commission.
Q4. A rectangular lot measures 150 feet by 200 feet. How many acres is this lot? (1 acre = 43,560 sq ft)
Explanation
Area = 150 ft × 200 ft = 30,000 sq ft. Acres = 30,000 ÷ 43,560 = 0.6887 acres, or approximately 0.69 acres.
Q5. A broker earns a 5% commission on the sale of a $480,000 property and splits it 50/50 with the cooperating broker. The listing salesperson receives 60% of the listing broker's half. How much does the listing salesperson earn?
Explanation
Total commission = $480,000 × 5% = $24,000. Each broker's half = $24,000 ÷ 2 = $12,000. Listing salesperson's share = $12,000 × 60% = $7,200.
Q6. A property has an assessed value of $320,000. The local mill rate is 12 mills. What is the annual property tax?
Explanation
One mill = $1 per $1,000 of assessed value. Tax = Assessed value × (mills ÷ 1,000) = $320,000 × (12 ÷ 1,000) = $320,000 × 0.012 = $3,840.
Q7. A property in Fairbanks sells for $285,000. The broker charges a 6% commission. The listing agent and selling agent each receive 50% of the total commission. How much does each agent receive?
Explanation
Total commission = $285,000 × 0.06 = $17,100. Each agent's share = $17,100 ÷ 2 = $8,550.
Q8. A home sells for $420,000. The seller pays a 5.5% commission and $3,200 in closing costs. What are the seller's total selling costs?
Explanation
Commission = $420,000 × 0.055 = $23,100. Total selling costs = $23,100 + $3,200 = $26,300.
Q9. A rectangular parcel in Alaska is 660 feet wide and 1,320 feet deep. How many acres is the parcel?
Explanation
Area = 660 ft × 1,320 ft = 871,200 sq ft. Acres = 871,200 ÷ 43,560 = 20 acres. (Note: 43,560 sq ft = 1 acre.)
Q10. A buyer's monthly principal and interest payment is $1,850. Annual property taxes are $3,600 and homeowner's insurance is $1,200 per year. What is the buyer's total PITI monthly payment?
Explanation
Monthly taxes = $3,600 ÷ 12 = $300. Monthly insurance = $1,200 ÷ 12 = $100. PITI = $1,850 (P&I) + $300 (T) + $100 (I) = $2,250.
Q11. A property has a NOI of $45,000 and sells at a 7.5% cap rate. What is the sale price?
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