Illinois broker exam math coverage
How much math is on the Illinois real estate broker exam?
PSI allocates 7 percent of the 100-item national broker outline to Real Estate Calculations, equivalent to seven scored items in that category. The figure is useful for coverage planning. It is not a cap on every numerical task across the national and Illinois portions.
Last reviewed:
Keep the national allocation separate from the whole exam
The PSI Illinois booklet dated June 24, 2026 lists the broker summary on printed page 11 and Real Estate Calculations in national section XI on pages 13 and 14. The scored totals are 100 national and 40 Illinois, with separate results.
| Number | Meaning | Avoid this inference |
|---|---|---|
| 7% of national | Seven allocated items within the 100 scored national items | Exactly seven numerical tasks across the whole appointment |
| 40 Illinois items | A separate scored state outline | A published state math count of zero or another guessed number |
| Possible experimental items | Additional unscored work may use examination time | A fixed number of extra math items |
Seven divided by 140 equals 5 percent. That arithmetic does not create a combined math blueprint: it uses one national category as though it counted all quantitative work. Nor should you take 7 percent of 140 and round it into an official question count.
The edition date identifies the booklet inspected, not proof that the category first took effect that day. The complete broker outline gives the other national and Illinois allocations.
What the current Calculations section actually names
Use the current national section XI as the source for this list. It groups transaction calculations and general financial concepts:
- Net proceeds to the seller and the buyer's funds required at closing.
- Property-tax and other prorations, and transfer-fee calculations.
- Estimating principal, interest, tax and insurance payments from the supplied loan information.
- Equity, return and capitalization relationships.
- Loan-to-value, discount points and origination charges.
That is not the same as copying a much longer formula inventory and calling every entry a heading in section XI. National Financing independently names points, LTV, interest and PITI. Property Ownership includes structure and land measurement, and Valuation includes the income approach. Supporting arithmetic can belong to the concept being tested.
A date, legal threshold or numbered rule is not necessarily a calculation. Read the requested task before counting every item with digits as one of the seven allocated Calculations items.
| Task | Starting relationship | Fact to check |
|---|---|---|
| Loan-to-value | Loan ÷ the required property-value base, expressed as a percentage | Which value the problem supplies and requires |
| Points | Loan amount × points ÷ 100 | Loan amount rather than an unrelated sale price |
| Monthly PITI | Monthly principal and interest + monthly taxes + monthly insurance | Convert annual components; include only the amounts the problem names |
| Simple equity model | Given property value − stated secured debt | All relevant debt in the model; equity is not automatically sale proceeds |
| Supplied capitalization model | Rate = annual NOI ÷ value; rearrange for the requested unknown | Use the defined net income, not an unrelated gross-rent figure |
| Proration or closing ledger | Allocate the stated period charge; total the appropriate party's credits and debits | Day convention, closing-day allocation and whether money was already paid |
The CFPB's LTV explanation describes the comparison of financing with property value. Its points guidance confirms that one point is 1 percent of the loan amount; it does not promise a fixed interest-rate reduction per point. The PITI explanation identifies principal, interest, taxes and insurance.
A PITI exercise that supplies monthly principal and interest has already supplied that component. If you must calculate an amortizing loan payment from a rate and term, do not substitute loan amount × annual rate ÷ 12 and call that principal plus interest. That operation alone gives a simple monthly interest figure under the stated model.
For a tax, fee or proration problem, use the supplied facts and applicable rule. The reviewed Illinois transfer-tax guide and day-count comparison explain why a rate unit or time convention can change the answer. This overview does not assign one statewide tax rate or a universal 30-day month.
Two original problems show why the base matters
1. Which amount carries the points?
A practice problem gives a $300,000 property price, a $240,000 loan and a charge of 1.25 discount points. What is the points charge?
- $3,750
- $3,000
- $30,000
- $1,250
Check every points choice
B is correct: $240,000 × 0.0125 = $3,000. A applies the rate to the property price. C uses 12.5 percent of the loan, ten times the stated rate. D treats 1.25 points as a fixed dollar charge on a $100,000 loan instead of using this loan. The calculation does not determine how far the interest rate changes.
Changing only the property price to $400,000 leaves B unchanged because the loan is still $240,000. Change the loan instead to $300,000 at the same 1.25 points and A becomes correct: $3,750.
2. Which components need conversion?
Assume monthly principal and interest are $1,950, annual property taxes are $6,000 and annual homeowners insurance is $1,200. The exercise asks only for these PITI components. What is the monthly total?
- $9,150
- $2,450
- $2,550
- $2,050
Check every monthly-payment choice
C is correct: $1,950 + $6,000 ÷ 12 + $1,200 ÷ 12 = $2,550. A adds annual tax and insurance directly to a monthly amount. B includes tax but omits insurance. D includes insurance but omits tax. Mortgage insurance, association charges and other costs are outside the amounts this exercise asks you to total; the result is not every possible housing expense.
Change only annual property tax to $4,800. The total becomes $1,950 + $400 + $100 = $2,450, so B becomes correct under those changed facts.
These are original instructional examples, not PSI questions or actual loan quotations. A problem need not be difficult arithmetic to test whether you selected the right base and time period.
Use your errors to decide what to study next
Try unfamiliar problems across the current topic list. For each mistake, record whether you chose the wrong relationship, base, unit, party, time convention or calculator entry. Also revisit a correct answer you guessed and cannot explain.
Repair one repeated error, then return to mixed problems so the topic label does not announce the formula. Explain why another choice fails and try changed facts. Review national and Illinois weaknesses separately rather than hiding one in a combined average.
There is no universal requirement in this guide to study math for a fixed share of your hours or reach 90 percent twice. A study plan should respond to what you can explain and solve. Fresh timed work can reveal pacing problems; it does not certify mastery or predict a PSI result.
Use the assigned exam instructions for tools and navigation. The math practice without scratch paper guide keeps practice methods separate from unconfirmed remote-tool features. Do not assume that a particular whiteboard, calculator function or shortcut is enabled for your Illinois appointment.
Illinois exam math questions
Are there exactly seven math questions on the Illinois exam?
The national broker outline allocates 7 percent to Real Estate Calculations. With 100 scored national items, that corresponds to seven allocated items. It does not establish an exam-wide limit on questions involving numbers or a personal appointment's exact presented item count.
Is math 7 percent of all 140 scored questions?
No. Seven percent uses the 100-item national denominator. The 40 scored Illinois items have a separate outline. Seven divided by 140 is 5 percent arithmetically, but it is not a published combined math allocation or a total count of all quantitative work.
Does PSI say how many Illinois questions will involve math?
The inspected state broker outline does not give one separate total for mathematical questions. Study the named Illinois topics, including real estate taxes and exemptions, without inventing an extra math quota or assuming the state portion cannot involve numerical reasoning.
Do I need advanced mathematics?
The named tasks involve practical calculation and financial relationships. Practice percentages, units, ledgers and rearranging a supplied relationship. This outline review does not measure the difficulty of actual PSI items or establish that every problem is a one-step arithmetic exercise.
What practice percentage proves I am ready?
No percentage in this guide is a validated PSI-readiness threshold. Use unfamiliar questions, explain the setup and check whether the same error returns with changed facts. Keep national and Illinois results separate, and use the official outline to check coverage.
Practice the setup, then change the facts
You can download Pass Illinois for optional original practice and explanations. Use the questions to find the reasoning you need to revisit, rather than treating an app percentage as proof of readiness. The app does not reproduce PSI's exam form, confirm your tools or guarantee a passing result.