Real Estate Exam Math Practice Test 2025 (40 Question Answers)

Smith bought three lots for $10,000 each. If they increase in value by 25% each year compounded, in how many years will she be able to sell one of the lots for as much as she originally paid for all three?

Salesman O’Hara gets 50% of the first $50,000 of commissions he brings in and 60% of all above that amount in 1 year. Last year he sold $2,750,000 of real estate, all at 7% commission. How much did O’Hara get to keep?

Ms. Farrell contracts to buy a house for $330,000. She pays $9,000 in earnest money and applies for a 75% loan. How much more money will she need to make up the purchase price of the home?

After paying a 6½% commission, Jackson received net proceeds of $336,132.50 on the sale of his home. What was the sale price?

Simpson wishes to install wall-to-wall carpeting in his home, which measures 42 3 28 ft. The outside walls are 6 in. thick, and the interior walls are 4 in. thick. There are 135 linear ft. of wall inside the home. The two bathrooms (each with interior measurements of 9 ft. 3 6 ft.) and the kitchen (12 ft. 3 12 ft.) are not to be carpeted. If installed carpeting costs $13.95 per square yard, how much will the job cost?

What is the cash-on-cash ratio for a property having a cash flow of $8,360 and an initial investor’s cash equity of $76,000?

Rent for a 90 ft. by 60 ft. office is $6,300 per month. What is the annual rent per square foot?

What is the maximum number of 8,000-sq.-ft. lots that can be platted from a 17.1-acre tract if 19% of the land must be used for streets and parks?

A salesperson receives 60% of the total commission on a sale for $315,000. The salesperson received $15,120. What was the rate of commission?

A broker listed a house for $350,000, at a 6% commission. The eventual sales price was $315,000. How much less was the broker’s commission that it would have been if the house had sold at the listed price?

A building 40 ft. by 22 ft. has exterior walls 10 ft. high. There are 13 windows, 4 sq. ft. each, and a door measuring 48 sq. ft. One gallon of paint covers 400 sq. ft. If the door and the windows are not to be painted, how many gallons of paint are needed to give the walls two full coats?

Smith sold three lots for a total of $90,000. The first lot sold for 1½ times the price of the second lot. The second lot sold for twice the price of the third lot. How much did the first lot sell for?

Velez borrowed $7,500 for 4 years, paying interest every quarter. The total amount of interest she paid was $2,700. What was the annual interest rate?

Ms. Levy has the choice of renting a house for $1,800 per month, including utilities, or for $1,400 per month if she pays the utility bills. Average utility bills are $3,840 per year, but Ms. Levy feels she can reduce this by 35%. How much per month does she expect to save by paying the utility bills herself?

How many square feet are there in the house?

Jim sold a parcel of land for $164,450. He made a profit of 43%. What was his purchase price?

Joe wants to build a patio 20 yd. by 20 ft. and 6 in. thick. How many cubic yards of concrete will he need?

Anne referred a customer to Connie, who sold the customer a house for $139,500. Connie paid Anne a referral fee of 12% of Connie’s commission. If Anne received $1,171.80, what was the rate of the commission on Connie’s sale?

Aaronson owns a 44-acre tract of land. In order to develop it, he must set aside 10% of the area for parks and must use 6.6 acres for streets, drainage, and other uses. If the minimum permissible lot size is 7,500 sq. ft., what is the maximum possible number of lots Aaronson can lay out?

A millage rate of 84.5 mills is the same as

A backyard measures 100 ft. by 80 ft. The house is 40 ft. wide. A fence 4 ft. high is to be built around the yard, with the width of the house as part of the barrier. If fence fabric is $1.80 per square yard, how much will the necessary fence fabric cost?

How many 100 ft. 3 × 100 ft. lots can be made out of a 3-acre plot of land?

In Green’s city, the property tax rate is 71 mills, based upon 30% of the market value of the property. Green just paid $170,000 for a home. What will the tax be?

Edgar purchases a condo costing $232,500. The loan requires a 15% down payment, an origination fee of 0.75%, 2.25 points discount, and a 0.5% PMI fee. How much money does Edgar need for these expenses?

Farley’s warehouse measures 52 ft. by 36 ft. The walls are 9 in. thick, and there are 13 support pillars inside the building, each 6 in. by 6 in. What is the area, in square feet, of the net interior floor space?

Smith wishes to develop a subdivision containing 55 lots averaging 10,500 sq. ft. each. An average of 1380 sq. ft. of street, sidewalk, and other space must be provided for each lot. What is the minimum number of acres that Smith will need?

Ms. Anderson sold a tract of land. After paying a 9% commission and paying 3% of the selling price in taxes, fees, and closing costs, she ended up with $176,000. What was the sale price of the land?

If the property is assessed at $180,000 and the millage rate is 32.5, the tax is

The lot shown above sold for $78,300. What was the price per square foot?

Nadel buys a new house costing $188,000. Land value is 15% of total price. The house contains 1733 sq. ft. What is the cost per square foot of the house alone (not including the land)?

What monthly rent must Sam get on his land in order to earn an annual return of 11% on the $210,000 that he paid for the land? Assume that the tenant pays all property taxes

What percentage of the area of the lot is taken up by the house?

A perfectly rectangular tract of land contains exactly 10.6 acres. The measurement on one side is 181 ft. To the nearest foot, how deep is the tract?

The interest rate on a loan is 5.125%. The interest for the month of July was $891.20. What was the loan balance at the beginning of July?

How many acres are contained in a rectangular tract of land measuring 1,700 ft. by 2,100 ft.?

Salesman Jones works for a broker. Jones receives 42% of all commissions he brings in. Jones sells a home for $140,700, at a 61⁄2% commission. What is the broker’s share of the proceeds?

A salesperson sold a property for $106,000. If the broker received 50% of the commission, and the salesperson’s 60% share of that amount was $2,544, what was the commission rate charged on the sale?

A lot sold for $225 a front foot. If the lot was 96 ft. deep and had an area of 6,336 sq. ft., how much did the lot sell for?

A 2.6-acre lot sold for $188,000. What was the price per square foot?

Ferraro bought a lot for $20,000 in 2003 and spent $130,000 to build a house on it in 2005. Today the house has increased 40% in value while the lot has increased 800%. What is the combined value of house and lot today?