Real estate math you must master

Only about 10 of the 100 exam questions are math, but they're the points people leave on the table out of nerves. Don't. The math is a small number of repeatable patterns, and this lesson walks through every one of them.

The one method that solves most problems: Total × Rate = Part

Almost every percentage problem on the exam fits a single formula, often drawn as a T-bar:

Total × Rate = Part

Picture a "T." The Part sits on top; the Total and the Rate sit on the bottom.

• Need the Part? Multiply across the bottom: Total × Rate.
• Need the Total? Divide: Part ÷ Rate.
• Need the Rate? Divide: Part ÷ Total.

That's it. Cover the value you're solving for with your finger, and the T-bar tells you whether to multiply or divide. Get comfortable here and half the math section takes care of itself.

Commission and cascading splits

Commission is just a Total × Rate problem, then the result gets divided up. Work it in stages and never try to do it in one leap.

Example. A home sells for $485,000 at a 6% total commission. The listing brokerage and the selling brokerage split the commission 50/50. On the listing side, the broker pays the agent 70/30 (agent gets 30%). What does the listing agent earn?

Step 1, total commission:

• $485,000 × 0.06 = $29,100

Step 2, co-brokerage split (50/50):

• $29,100 × 0.50 = $14,550 to the listing side

Step 3, broker/agent split on the listing side (agent gets 30%):

• $14,550 × 0.30 = $4,365 to the agent

Quick check: the broker keeps $14,550 − $4,365 = $10,185, and $4,365 + $10,185 = $14,550. The pieces add back up, so the split is right.

The trap here is doing the splits out of order or skipping a stage. Cascade it: total, then co-brokerage, then in-house. One step at a time.

Florida sets no statutory commission rate, by the way. Every rate is negotiable, so the exam will always hand you the rate to use.

Documentary stamp tax on a deed

This is a guaranteed exam topic. The deed doc stamp tax is $0.70 per $100 of the sale price, and you round the price UP to the next $100 before you calculate.

Example, price already on a round hundred. Sale price $327,400.

• $327,400 is already a multiple of $100, so no rounding is needed.
• $327,400 ÷ 100 = 3,274 increments
• 3,274 × $0.70 = $2,291.80

The same answer comes from multiplying by 0.0070 directly: $327,400 × 0.0070 = $2,291.80.

Example, price that needs rounding. Sale price $349,150.

• Round UP to the next $100: $349,150 becomes $349,200.
• $349,200 ÷ 100 = 3,492 increments
• 3,492 × $0.70 = $2,444.40

Always round the price up first. If you skip the rounding, you'll miss the questions designed to catch exactly that.

One exception worth a mental note: Miami-Dade County uses $0.60 per $100 plus a $0.45 per $100 surtax on properties that aren't single-family. The exam may flag it; the rest of Florida uses $0.70.

Documentary stamp tax on a note

The note (the promise to repay) is taxed at $0.35 per $100 of the loan amount. Same rounding idea, different rate.

Example. New loan of $280,000.

• $280,000 ÷ 100 = 2,800 increments
• 2,800 × $0.35 = $980

Or directly: $280,000 × 0.0035 = $980.

Note the cap: the note doc stamp tax is capped at $2,450, and that cap applies to notes only, not deeds. You probably won't hit the cap on a typical home loan, but know it exists.

Nonrecurring intangible tax on a new mortgage

The intangible tax is 2 mills, or $0.002 per $1 of a new mortgage. This one is the friendliest calculation on the test: a straight multiplier with no $100 rounding.

Example. Same new loan of $280,000.

• $280,000 × 0.002 = $560

That's the whole calculation. Just multiply the loan by 0.002.

Here's how the two loan-based taxes stack on a single $280,000 mortgage:

• Note doc stamp: 280,000 × 0.0035 = $980
• Intangible tax: 280,000 × 0.002 = $560

Keep them separate. The note tax rounds to the next $100; the intangible tax does not.

Loan-to-value, and the trap built into it

LTV = loan amount ÷ the LESSER of the sale price or the appraised value. That word "lesser" is the entire trap.

Example. A buyer agrees to pay $400,000. The appraisal comes in at $390,000. The loan is $360,000. What's the LTV?

• The lesser of price ($400,000) and appraised value ($390,000) is $390,000.
• $360,000 ÷ $390,000 = 0.923 = 92.3% LTV

If you'd used the $400,000 price instead, you'd get $360,000 ÷ $400,000 = 90%, which is the wrong answer the question is fishing for. When price and appraised value differ, always divide by the smaller one.

Area and measurement

Two numbers anchor every area question: 1 acre = 43,560 square feet, and a section = 640 acres.

Example, square footage to acres. A lot measures 130 feet by 200 feet. How many acres is that?

• Area = 130 × 200 = 26,000 square feet
• 26,000 ÷ 43,560 = about 0.597 acre (roughly six-tenths of an acre)

Example, fractions of a section. How many acres is the "quarter of the quarter" of a section?

• A section is 640 acres.
• A quarter section = 640 ÷ 4 = 160 acres
• A quarter of that quarter = 160 ÷ 4 = 40 acres

When a legal description reads like "the NE¼ of the SW¼," you're multiplying the fractions: ¼ × ¼ = 1/16, and 640 ÷ 16 = 40 acres. Same answer, just a faster route once you trust it.

Prorations: read the method first

Prorations split an expense (like property taxes) between the seller and the buyer at closing. Before you calculate anything, find two things in the question: which day-count method to use, and who pays for the day of closing.

The exam's default is the 365-day method unless the question says otherwise, and the day of closing is typically charged to the seller unless the question states differently. Some questions instead use the 360-day method (the statutory or "banker's" year). Always read which one the question specifies, because the per-day amount changes.

Example, 365-day method. Annual property taxes are $3,650, the seller pays through the day of closing, and closing is March 31 of a non-leap year.

• Daily amount: $3,650 ÷ 365 = $10.00 per day
• Days the seller owns (Jan 1 through March 31, charging the closing day to the seller): 31 + 28 + 31 = 90 days
• Seller's share: 90 × $10.00 = $900

Example, 360-day method. Annual taxes are $3,600 and the question tells you to use a 360-day year (12 months of 30 days each).

• Daily amount: $3,600 ÷ 360 = $10.00 per day

Notice the two methods produce different daily figures whenever the annual amount and day count don't line up evenly. That's why the single most important proration skill is reading which method the question hands you before you divide.

A full closing transfer-tax example

Let's put the three transfer taxes together on one deal, the way a closing question often does.

The deal. A home sells for $450,000 with a new mortgage of $360,000. Calculate the deed doc stamp tax, the note doc stamp tax, and the intangible tax.

Deed doc stamp (price, $0.70 per $100):

• $450,000 is already a multiple of $100, so no rounding.
• $450,000 × 0.0070 = $3,150.00

Note doc stamp (loan, $0.35 per $100):

• $360,000 × 0.0035 = $1,260.00

Intangible tax (loan × 0.002):

• $360,000 × 0.002 = $720.00

Total transfer-related taxes:

• $3,150 + $1,260 + $720 = $5,130.00

Work each tax on its own line, then add. The deed tax is based on the price; both the note tax and the intangible tax are based on the loan. Mixing up which figure feeds which tax is the most common closing-math mistake, so keep the price and the loan in separate columns.

How to drill this

Do not just read these examples. Cover the answers, rework each one with a pencil, and check the rate every time. When you can produce $2,291.80, $980, $560, and a 92.3% LTV without peeking, you've beaten the math section. The practice exam gives you fresh numbers to run the same patterns until they're automatic.

Up next: Exam day itself, what to expect at Pearson VUE, a clean test-taking strategy, and what happens the moment after you pass.