New Hampshire Real Estate Math
Practice Questions & Answers (2026)
Real estate math questions appear on every New Hampshire 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 New Hampshire Real Estate Commission does not provide a calculator — but the math is designed to be workable without one if you know the right formulas. New Hampshire 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 · New Hampshire Real Estate Commission exam outline
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New Hampshire Real Estate Math — Practice Questions & Answers
127 questions on Real Estate Math from the New Hampshire real estate question bank. First 10 are free — sign up to unlock all 127.
Q1. New Hampshire's real estate transfer tax is $0.75 per $100 of purchase price, paid by each party. For a $350,000 sale, what does each party (buyer and seller) pay?
Explanation
Each party pays: ($350,000 ÷ 100) × $0.75 = 3,500 × $0.75 = $2,625 total. Each party pays half: $2,625 ÷ 2 = $1,312.50.
Q2. A buyer wants to make an offer that gives the seller a net of $265,000 after paying a 5% commission. What should the offer price be?
Explanation
Let P = offer price. P × (1 − 0.05) = $265,000 → P × 0.95 = $265,000 → P = $265,000 ÷ 0.95 ≈ $278,947.
Q3. A property is assessed at $240,000 at a rate of 90% of market value. The property tax rate is $18 per $1,000 of assessed value. What are the annual taxes?
Explanation
Annual taxes = ($240,000 ÷ 1,000) × $18 = 240 × $18 = $4,320. To solve this, multiply the relevant values: $240,000 and $18 at 90%.. The correct answer is $4,320.. This is a common calculation on the New Hampshire real estate exam.
Q4. An investor buys a duplex for $320,000 and rents each unit for $1,200/month. What is the annual gross rent multiplier (GRM)?
Explanation
Annual gross rent = 2 units × $1,200/month × 12 months = $28,800. Annual GRM = $320,000 ÷ $28,800 ≈ 11.1.
Q5. A property sells for $425,000. The selling agent earns a 3% commission split. What is the selling agent's commission?
Explanation
Selling agent commission = $425,000 × 0.03 = $12,750. To solve this, multiply the relevant values: $425,000 at 3%.. The correct answer is $12,750.. This is a common calculation on the New Hampshire real estate exam.
Q6. A rectangular lot measures 150 feet by 200 feet. How many acres is the lot?
Explanation
Area = 150 × 200 = 30,000 sq ft. Acres = 30,000 ÷ 43,560 ≈ 0.69 acres. Remember: 1 acre = 43,560 square feet. Multiply or divide as needed to convert between units.. The correct answer is 0.69 acres.. This is a common calculation on the New Hampshire real estate exam.
Q7. A borrower takes out a $280,000 mortgage at 6.5% annual interest. What is the first month's interest payment?
Explanation
Monthly interest = $280,000 × (0.065 ÷ 12) = $280,000 × 0.005417 = $1,516.67. To solve this, multiply the relevant values: $280,000 at 6.5%.. The correct answer is $1,516.67.. This is a common calculation on the New Hampshire real estate exam.
Q8. An appraiser determines that a property generates $36,000 in NOI annually and applies a 7.5% cap rate. What is the estimated value?
Explanation
Value = NOI ÷ Cap Rate = $36,000 ÷ 0.075 = $480,000. To solve this, multiply the relevant values: $36,000 at 7.5%.. The correct answer is $480,000.. This is a common calculation on the New Hampshire real estate exam.
Q9. A buyer puts 20% down on a $310,000 home. What is the loan amount?
Explanation
Down payment = $310,000 × 0.20 = $62,000. Loan amount = $310,000 − $62,000 = $248,000. To solve this, multiply the relevant values: $310,000 at 20%.. The correct answer is $248,000.. This is a common calculation on the New Hampshire real estate exam.
Q10. A salesperson earns 60% of the total 5% commission on a $380,000 sale. How much does the salesperson earn?
Explanation
Total commission = $380,000 × 0.05 = $19,000. Salesperson share = $19,000 × 0.60 = $11,400. To solve this, multiply the relevant values: $380,000 at 60%.. The correct answer is $11,400.. This is a common calculation on the New Hampshire real estate exam.
Q11. A property's assessed value is $180,000 and is assessed at 85% of market value. What is the estimated market value?
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