Delaware Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every Delaware 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 Delaware Real Estate Commission does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. Delaware 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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Delaware Real Estate Math — Practice Questions & Answers
193 questions on Real Estate Math from the Delaware real estate question bank. First 10 are free — sign up to unlock all 193.
Q1. A Delaware property sells for $295,000. The state and county transfer tax combined rate is 4%. If the buyer and seller split this equally, how much does each pay?
Explanation
Total transfer tax = $295,000 × 4% = $11,800. Each party pays $11,800 ÷ 2 = $5,900.
Q2. A property has annual gross rents of $36,000. After a 6% vacancy factor and $15,000 in operating expenses, what is the NOI?
Explanation
Effective Gross Income = $36,000 − ($36,000 × 6%) = $36,000 − $2,160 = $33,840. NOI = $33,840 − $15,000 = $18,840.
Q3. A buyer's monthly principal and interest payment is $1,450. Annual property taxes are $3,600 and homeowner's insurance is $1,200. What is the total monthly PITI payment?
Explanation
Monthly taxes = $3,600 ÷ 12 = $300. Monthly insurance = $1,200 ÷ 12 = $100. PITI = $1,450 + $300 + $100 = $1,850. The closest answer is $1,950 — Note: PITI = $1,450 (P&I) + $300 (T) + $100 (I) = $1,850.
Q4. A broker earns a 6% commission on a $320,000 sale. The broker pays the selling salesperson 40% of the broker's share. If the commission is split 50/50 between listing and selling offices, how much does the selling salesperson earn?
Explanation
Total commission = $320,000 × 6% = $19,200. Selling office share = $19,200 ÷ 2 = $9,600. Salesperson's share = $9,600 × 40% = $3,840.
Q5. A property sells for $425,000. Delaware transfer tax is 4% of the sale price (split equally between buyer and seller). What is each party's transfer tax obligation?
Explanation
Total transfer tax = $425,000 × 4% = $17,000. Split equally: $17,000 ÷ 2 = $8,500 per party.
Q6. A rectangular lot is 150 feet wide and 200 feet deep. What is its area in square feet?
Explanation
Area = Width × Depth = 150 × 200 = 30,000 square feet.
Q7. A home sells for $380,000. The total commission is 5.5%. The listing broker and selling broker split the commission equally. The listing salesperson receives 60% of the listing broker's share. What does the listing salesperson earn?
Explanation
Total commission = $380,000 × 5.5% = $20,900. Listing broker's share = $20,900 ÷ 2 = $10,450. Listing salesperson's share = $10,450 × 60% = $6,270.
Q8. A property has a net operating income of $48,000 per year. Using a capitalization rate of 8%, what is the estimated value?
Explanation
Value = NOI ÷ Cap Rate = $48,000 ÷ 0.08 = $600,000.
Q9. A buyer obtains a $300,000 mortgage at 6% annual interest. What is the first month's interest payment?
Explanation
Monthly interest = $300,000 × 6% ÷ 12 = $300,000 × 0.005 = $1,500.
Q10. A property is assessed at 60% of its market value of $350,000. The tax rate is $15 per $1,000 of assessed value. What is the annual property tax?
Explanation
Assessed value = $350,000 × 60% = $210,000. Tax = ($210,000 ÷ $1,000) × $15 = 210 × $15 = $3,150.
Q11. A seller wants to net $275,000 after paying a 6% commission. What must the property sell for?
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