Real Estate Practice Test

Real Estate Real Estate Math Practice Questions

Real Estate Math makes up 5 of every 50 questions on a Tigertest Real Estate practice test. Here are 10 of the 20 questions on it, each with the answer and the reason.

Updated by the Tigertest team. Weighted to the Pearson VUE national salesperson outline (2025), which matches PSI's. Your state portion is separate.

  1. 1. A rectangular lot measures 330 feet by 660 feet. Using 43,560 square feet per acre, how many acres does the lot contain?

    • A.0.5 acre
    • B.5 acres
    • C.41.25 acres
    • D.50 acres

    Answer: B. 330 x 660 = 217,800 square feet, and 217,800 / 43,560 = 5 acres. Dividing by 5,280 (feet in a mile) instead of 43,560 gives the wrong answer of 41.25 acres.

  2. 2. An L-shaped house has a main section 50 feet by 30 feet and an attached wing 20 feet by 15 feet. What is its total living area?

    • A.1,500 square feet
    • B.2,100 square feet
    • C.3,150 square feet
    • D.1,800 square feet

    Answer: D. Main section 50 x 30 = 1,500 square feet, wing 20 x 15 = 300 square feet, and 1,500 + 300 = 1,800 square feet. Stopping at 1,500 forgets the wing, and 70 x 45 = 3,150 wrongly treats the L as one full rectangle.

  3. 3. A farmer sells one quarter section of farmland at $4,500 per acre. A section contains 640 acres. What is the total sale price?

    • A.$720,000
    • B.$2,880,000
    • C.$180,000
    • D.$360,000

    Answer: A. A quarter section is 640 / 4 = 160 acres, and 160 x $4,500 = $720,000. Pricing the full 640-acre section gives $2,880,000, and using 40 acres (a quarter of a quarter) gives $180,000.

  4. 4. An apartment building has potential gross income of $120,000, a 5% vacancy rate and operating expenses of $42,000. At an 8% cap rate, what is its value?

    • A.$975,000
    • B.$1,425,000
    • C.$900,000
    • D.$1,500,000

    Answer: C. Effective gross income is $120,000 - 5% ($6,000) = $114,000; NOI is $114,000 - $42,000 = $72,000; value is $72,000 / 0.08 = $900,000. Skipping the vacancy loss gives $78,000 / 0.08 = $975,000, and skipping expenses gives $1,425,000.

  5. 5. A seller wants to net $464,400 after paying a 6% commission and $5,600 in other closing costs. What is the minimum sale price needed?

    • A.$494,042.55
    • B.$470,000
    • C.$500,000
    • D.$498,200

    Answer: C. Add the closing costs to the net: $464,400 + $5,600 = $470,000, which must equal 94% of the price (100% - 6%), so $470,000 / 0.94 = $500,000. Multiplying $470,000 by 1.06 gives $498,200 because 6% is taken on the wrong base, and dividing only $464,400 by 0.94 forgets the closing costs.

  6. 6. A home has a market value of $250,000 and is assessed at 40% of market value. The tax rate is 32 mills. What is the annual tax?

    • A.$3,200
    • B.$8,000
    • C.$32,000
    • D.$1,280

    Answer: A. Assessed value is $250,000 x 0.40 = $100,000, and 32 mills is $32 per $1,000, or 0.032, so $100,000 x 0.032 = $3,200. Applying the rate to the full $250,000 market value gives $8,000, and treating a mill as 1/100 instead of 1/1,000 gives $32,000.

  7. 7. Comparable rental homes in a neighborhood show a gross rent multiplier of 160. A subject home rents for $1,850 per month. What is its estimated value?

    • A.$24,666.67
    • B.$29,600
    • C.$3,552,000
    • D.$296,000

    Answer: D. A GRM is applied to monthly rent, so $1,850 x 160 = $296,000. Multiplying annual rent ($22,200) by a monthly GRM overstates value at $3,552,000.

  8. 8. An owner's home is worth $380,000. The original mortgage was $300,000, its current balance is $262,000, and a home equity loan has a $28,000 balance. What is the owner's equity?

    • A.$52,000
    • B.$90,000
    • C.$80,000
    • D.$118,000

    Answer: B. Equity is market value minus all current debt: $380,000 - $262,000 - $28,000 = $90,000. Forgetting the home equity loan gives $118,000, and subtracting the original $300,000 loan instead of the current balance gives $52,000.

  9. 9. A home listed at $425,000 sells for $415,000. The listing agreement calls for a 5.5% commission on the sale price. What is the total commission?

    • A.$20,750
    • B.$22,825
    • C.$23,375
    • D.$2,282.50

    Answer: B. $415,000 x 0.055 = $22,825. Using the $425,000 list price gives $23,375, but commission is owed on the actual sale price.

  10. 10. A home sells for $360,000 with a 6% commission split equally between the two brokerages. The selling agent receives 60% of her broker's share. What does she earn?

    • A.$12,960
    • B.$4,320
    • C.$10,800
    • D.$6,480

    Answer: D. Total commission is $360,000 x 0.06 = $21,600; the selling brokerage gets half, $10,800; the agent gets $10,800 x 0.60 = $6,480. Taking 60% of the full $21,600 gives $12,960 because it skips the split between brokerages.

Practice all 20 real estate math questions, and the rest of the 200-question bank, in the free Real Estate training sets. Questions you miss come back until you have mastered them.

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