Printable math reference

    Texas real estate exam math cheat sheet

    A clean printable reference for commission, proration, cap rate, GRM, property tax per $100, area conversions, LTV, and the Texas figures candidates mix up most often.

    25
    core formulas from the math reference
    11
    exam math categories covered
    14
    Math Coach calculation types in Pass Texas
    Quick answer

    Use this sheet as a memory check, not as your full study plan. Print it, cover the examples, write each formula from memory, then drill mixed Texas math questions until you can spot the setup before you calculate.

    Review worked examples

    Pass Texas

    Texas sales agent exam prep

    Printable math reference

    Texas Real Estate Exam Math Formula
    Cheat Sheet

    Commission, proration, cap rate, GRM, property tax, area, and LTV

    Commission & Splits

    Commission Amount

    Sale Price × Commission Rate = Commission

    $250,000 × 6% = $15,000

    Agent Split

    Total Commission × Agent Split % = Agent Share

    $15,000 × 60% = $9,000

    Finding Sale Price from Commission

    Commission ÷ Commission Rate = Sale Price

    $15,000 ÷ 6% = $250,000

    Proration

    Daily Rate

    Annual Amount ÷ (360 or 365) = Daily Rate

    $3,650 ÷ 365 = $10/day

    Party's Share

    Daily Rate × Days Owned = Proration

    $10/day × 180 days = $1,800

    Cap Rate & GRM

    Capitalization Rate

    NOI ÷ Sale Price = Cap Rate

    $50,000 ÷ $500,000 = 10%

    Property Value (Income Approach)

    NOI ÷ Cap Rate = Property Value

    $50,000 ÷ 10% = $500,000

    Gross Rent Multiplier

    Sale Price ÷ Gross Rent = GRM

    $500,000 ÷ $60,000 = 8.33

    Property Tax

    Taxable Value

    Appraised Value − Exemptions = Taxable Value

    $310,000 − $140,000 homestead = $170,000

    Annual Property Tax

    Taxable Value ÷ 100 × Tax Rate per $100 = Tax

    $170,000 ÷ 100 × $2.20 = $3,740

    Area & Volume

    Square Footage

    Length × Width = Area (sq ft)

    50 ft × 100 ft = 5,000 sq ft

    Acres Conversion

    Square Feet ÷ 43,560 = Acres

    87,120 sq ft ÷ 43,560 = 2 acres

    Price per Square Foot

    Price ÷ Square Footage = Price per Sq Ft

    $500,000 ÷ 2,500 sq ft = $200/sq ft

    Interest & Loan Costs

    Simple Interest

    Principal × Rate × Time = Interest

    $200,000 × 6% × 1 yr = $12,000/yr

    Discount Points

    Loan Amount × Points (as %) = Point Cost

    $200,000 × 2 points (2%) = $4,000

    Loan-to-Value (LTV)

    LTV Ratio

    Loan Amount ÷ Property Value = LTV

    $180,000 ÷ $200,000 = 90% LTV

    Down Payment

    Property Value − Loan Amount = Down Payment

    $200,000 − $180,000 = $20,000

    Seller Net & Required Price

    Seller Net

    Sale Price − Payoff − Selling Costs = Seller Net

    $425,000 − $298,000 − $31,375 = $95,625

    Required Sale Price

    Target Net + Payoff + Costs = Required Price Base

    $85,000 + $298,000 + costs = required price before percentage costs

    Mortgage Qualifying Ratios

    Front-End Ratio

    Housing Payment ÷ Gross Monthly Income = Front-End Ratio

    $2,576 ÷ $9,200 = 28%

    Back-End Ratio

    (Housing Payment + Monthly Debt) ÷ Gross Monthly Income = Back-End Ratio

    ($2,576 + $625) ÷ $9,200 = 34.79%

    Profit, Loss & Equity

    Equity

    Current Value − Loan Balance = Equity

    $420,000 − $286,000 = $134,000

    Appreciation

    Current Value − Purchase Price = Appreciation

    $420,000 − $350,000 = $70,000

    Comparable Sales Adjustments

    Inferior Comparable

    Comparable Sale Price + Adjustment = Adjusted Price

    $415,000 + $12,000 = $427,000

    Superior Comparable

    Comparable Sale Price − Adjustment = Adjusted Price

    $415,000 − $8,000 = $407,000

    Page 2

    Turn the formulas into points

    A formula sheet only helps when you can name the setup, choose the right rate, and repair misses after mixed practice.

    Use the sheet under exam pressure

    1. Name the setup. Decide whether the question is commission, proration, tax, area, income math, LTV, or seller net before touching the calculator.

    2. Write one line. Put the formula on your scratch board, then plug in numbers. That prevents rate and unit drift.

    3. Check the final ask. The exam often gives extra facts. Answer what the last sentence asks for.

    4. Drill mixed math. A formula sheet is only useful when you can recognize which formula belongs to the question.

    Key Numbers and Rates

    1 acre43,560 sq ft
    1 square yard9 sq ft
    1 mile5,280 ft
    1 section640 acres
    Property taxrate per $100 of value
    Taxable valueappraised - exemptions
    Homestead exemptionreduces taxable value
    State transfer/doc-stamp taxnone in Texas
    Proration day count360 or 365 (per question)
    1 mill$1 per $1,000

    Mistakes Students Make

    • Subtract exemptions from appraised value before applying the rate per $100.
    • NOI is income minus expenses. It does not subtract mortgage payments.
    • LTV percent plus down payment percent equals 100%.
    • Texas has no statewide real estate transfer tax, so add no transfer-tax line.
    • GRM uses gross rent. Cap rate uses net operating income.
    • For LTV, use sale price or appraised value, whichever is lower.

    Final 5-minute memory check

    Texas property tax is a rate per $100 of taxable value.

    Percent rates must become decimals before multiplying.

    Prorations need the right owner days and 360/365 basis before the math.

    LTV uses the sale price or appraised value, whichever is lower.

    Mixed-practice repair log

    Formula missedSetup cueFix before next drill
    passtexasrealestate.com1,200+ Texas questions. Math Coach. $59.99 one-time purchase.
    Use it well

    Turn the cheat sheet into points.

    A formula sheet helps only if it becomes recall. Use this three-pass routine before you move into timed math practice.

    Pass 1Write it cold

    Cover the examples and write every formula from memory. Circle any formula that needs a peek.

    Pass 2Name the setup

    Before calculating, say the category first: commission, proration, property tax, income math, area, LTV, seller net, or appraisal.

    Pass 3Drill mixed math

    Use mixed practice after the sheet. The exam will not label the formula for you, so recognition matters as much as arithmetic.

    FAQ

    Texas real estate exam math cheat sheet questions.

    What formulas should I memorize for the Texas real estate exam?+

    Memorize commission, commission splits, proration, cap rate, property value by income, GRM, taxable value, property tax by rate per $100, area, acres, price per square foot, LTV, and down payment formulas.

    Can I rely on a cheat sheet during the Texas real estate exam?+

    No. Use this cheat sheet before the exam to build memory. You should be able to write the formulas from memory and recognize which formula a word problem is asking for.

    What is the most common Texas real estate exam math mistake?+

    The most common mistake is choosing the wrong setup. Candidates often apply the property tax rate before subtracting the exemption, use the wrong 360 vs. 365 day count, reverse proration credits, or use gross rent when the problem asks for cap rate.

    Is this cheat sheet enough to learn Texas real estate exam math?+

    It is enough for review, not enough for mastery. Pair it with worked examples and timed practice so you can apply the formulas under exam pressure.

    Official references

    Texas-specific figures and exam context should be checked against official sources. This cheat sheet is for exam prep, not tax, lending, legal, or closing advice.

    Drill the formulas

    The sheet helps you remember.
    Practice makes it test-ready.

    Pass Texas includes 1,200+ Texas-specific questions, a 14-area diagnostic, six study modes, Math Coach, Trap Library drills, offline access, and one $59.99 purchase. No subscription. No copied exam questions. No fake reviews.