Hawaii Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Hawaii 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 Hawaii Real Estate Branch does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Hawaii 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.
Updated May 2026 · Hawaii Real Estate Branch exam outline
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Hawaii Real Estate Math — Practice Questions & Answers
219 questions on Real Estate Math from the Hawaii real estate question bank. First 10 are free — sign up to unlock all 219.
Q1. A property in Hawaii sells for $850,000. The commission rate is 5%. How much commission is earned?
Explanation
Commission = Sale Price × Commission Rate. $850,000 × 0.05 = $42,500. The total commission earned on this sale is $42,500.
Q2. A buyer obtains a 30-year mortgage for $600,000 at an annual interest rate of 6%. What is the first month's interest payment?
Explanation
Monthly interest = Loan Balance × (Annual Rate ÷ 12). $600,000 × (0.06 ÷ 12) = $600,000 × 0.005 = $3,000. The first month's interest payment is $3,000.
Q3. A property has a net operating income (NOI) of $54,000. If the capitalization rate is 6%, what is the estimated value of the property?
Explanation
Value = NOI ÷ Cap Rate. $54,000 ÷ 0.06 = $900,000. The estimated property value using income capitalization is $900,000.
Q4. A rectangular lot measures 120 feet wide by 200 feet deep. How many acres is this lot? (1 acre = 43,560 sq ft)
Explanation
Step 1: Area in sq ft = 120 × 200 = 24,000 sq ft. Step 2: Convert to acres: 24,000 ÷ 43,560 ≈ 0.551 acres, which rounds to approximately 0.55 acres.
Q5. A Hawaii property sells for $875,000 with a 5.5% commission. What is the total commission?
Explanation
Total commission = $875,000 × 0.055 = $48,125. To solve this, multiply the relevant values: $875,000 at 5.5%.. The correct answer is $48,125.. This is a common calculation on the Hawaii real estate exam.
Q6. A property's NOI is $84,000 and the cap rate is 6%. What is the estimated value using the income approach?
Explanation
Value = NOI ÷ Cap Rate = $84,000 ÷ 0.06 = $1,400,000. To solve this, multiply the relevant values: $84,000 at 6%.. The correct answer is $1,400,000.. This is a common calculation on the Hawaii real estate exam.
Q7. A buyer purchases a Hawaii condo for $620,000 and makes a 20% down payment. What is the loan amount?
Explanation
Down payment = $620,000 × 0.20 = $124,000. Loan amount = $620,000 − $124,000 = $496,000. To solve this, multiply the relevant values: $620,000 at 20%.. The correct answer is $496,000.. This is a common calculation on the Hawaii real estate exam.
Q8. A Hawaii salesperson earns 60% of the gross commission. If the property sold for $780,000 at a 5% commission rate, how much does the salesperson earn?
Explanation
Gross commission = $780,000 × 0.05 = $39,000. Salesperson share = $39,000 × 0.60 = $23,400. To solve this, multiply the relevant values: $780,000 at 60%.. The correct answer is $23,400.. This is a common calculation on the Hawaii real estate exam.
Q9. A property was purchased for $500,000 and sold 3 years later for $620,000. What is the percentage appreciation?
Explanation
Appreciation = ($620,000 − $500,000) ÷ $500,000 = $120,000 ÷ $500,000 = 0.24 = 24%. Using the values given ($500,000, $620,000), apply the appropriate formula.. The correct answer is 24%.. This is a common calculation on the Hawaii real estate exam.
Q10. A Hawaii landlord collects monthly rent of $2,800. What is the annual gross rental income?
Explanation
Annual gross income = $2,800 × 12 = $33,600. Using the values given ($2,800), apply the appropriate formula.. The correct answer is $33,600.. This is a common calculation on the Hawaii real estate exam.
Q11. A rectangular lot in Hawaii is 90 feet wide and 150 feet deep. What is its area in square feet?
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