New Hampshire Real Estate Exam Math Practice

Math questions appear throughout the New Hampshire real estate exam — on both national and state sections. A typical exam includes around 10 to 15 math problems. Getting these right can make the difference between passing and failing.

Transfer Tax Calculations

New Hampshire imposes a real estate transfer tax of $0.75 per $100 on both the buyer and the seller.

Formula: Transfer Tax (per party) = (Sale Price / 100) x $0.75

Example: A property sells for $320,000. How much does the buyer pay in transfer tax?

(320,000 / 100) x 0.75 = 3,200 x 0.75 = $2,400

The seller also pays $2,400. Total tax collected: $4,800.

Practice Problem: A home sells for $450,000. What is the seller's share of the transfer tax?

(450,000 / 100) x 0.75 = 4,500 x 0.75 = $3,375

Commission Calculations

Formula: Commission = Sale Price x Commission Rate

Example: A property sells for $380,000 at a 5.5% commission. The listing broker and buyer's broker split equally. How much does each side receive?

380,000 x 0.055 = $20,900 total 20,900 / 2 = $10,450 per side

If the listing broker keeps 60% and gives 40% to the salesperson: 10,450 x 0.60 = $6,270 to broker 10,450 x 0.40 = $4,180 to salesperson

Proration Problems

Prorations are common on closing cost calculations. Sellers credit buyers for prepaid expenses (like property taxes paid in advance).

Example: Annual property taxes are $4,200. Closing occurs on September 1. The seller has paid taxes for the full year. How much does the seller receive back as a credit?

September 1 through December 31 = 122 days remaining Daily rate: 4,200 / 365 = $11.51 per day Credit to seller: 122 x 11.51 = $1,404.22

Loan-to-Value and Down Payment

Formula: LTV = Loan Amount / Appraised Value

Example: A buyer purchases a home for $280,000 with 10% down. What is the loan amount and LTV?

Down payment: 280,000 x 0.10 = $28,000 Loan amount: 280,000 - 28,000 = $252,000 LTV: 252,000 / 280,000 = 90%

Area Calculations

Formula for rectangles: Area = Length x Width

Example: A lot is 125 feet wide and 200 feet deep. How many square feet is it?

125 x 200 = 25,000 sq ft

To convert to acres: 25,000 / 43,560 = 0.574 acres

Study Tips for Exam Math

Memorize the NH transfer tax formula before exam day
Practice commission splits with different percentage arrangements
Know that 1 acre = 43,560 square feet
Know that 1 township = 36 sections; 1 section = 640 acres
Use the T-bar method for interest calculations: I = P x R x T

For more prep resources, visit [CARealestate.com/states/new-hampshire](https://carealestate.com/states/new-hampshire).

New Hampshire Real Estate Exam Math Practice