Threshold MLO Prep NMLS SAFE MLO Test Prep

Mortgage Math: practice questions

Module 13 of 15 · Mortgage loan origination activities (27% of the NMLS SAFE MLO Test)
Content last updated 28 September 2026

About this module

NMLS weights mortgage loan origination activities at 27% of the 115 scored questions. NMLS does not publish weights below that level, so our exam-length mix gives this module 3 of the 115, in proportion to its share of the outline topics in that area (outline section 4.D).

The full bank holds 35 questions for this module, each with a written explanation that cites its source. Below are the 5 free questions for this module, with answers.

Key sources

The law and guidance the questions in this module cite most often.

Free Mortgage Math questions

A borrower has a $150,000 first mortgage and applies for a $50,000 home equity loan. The home is worth $250,000. What will the combined LTV be?

  1. 20%
  2. 60%
  3. 75%
  4. 80% ✓

Why: Combined LTV is all mortgage balances on the property divided by its value (HUD Handbook 4000.1 Glossary, Combined Loan-to-Value). ($150,000 + $50,000) / $250,000 = 80%.

Source: HUD Handbook 4000.1, Glossary (Combined Loan-to-Value)

An ARM uses an index that currently stands at 2.75% and a margin of 2.25%. What is the fully indexed rate?

  1. 2.75%
  2. 4.75%
  3. 5% ✓
  4. 5.25%

Why: The CFPB's Consumer Handbook on Adjustable-Rate Mortgages (CHARM) states "Interest rate = index + margin": the margin is an extra percentage the lender adds to the index. 2.75% + 2.25% = 5%.

Source: CFPB Consumer Handbook on Adjustable-Rate Mortgages (CHARM), p. 4

The correct APR on a regular fixed-rate mortgage is 6.000% and the finance charge is disclosed correctly. Which disclosed APR would NOT be considered accurate?

  1. 5.875%
  2. 5.950%
  3. 6.125%
  4. 6.250% ✓

Why: As a general rule, 12 CFR 1026.22(a)(2) treats the APR as accurate if it is not more than 1/8 of one percentage point (0.125) above or below the correct rate, so 5.875% to 6.125% is within tolerance. 6.250% is 0.25 above. (The extra mortgage tolerances in 1026.22(a)(4)-(5) apply only where an APR error flows from a finance charge error, which the stem rules out.)

Source: 12 CFR 1026.22(a)(2)

A lender caps a conventional loan at 80% LTV. The property's adjusted value is $425,000. What is the largest loan it will make?

  1. $340,000 ✓
  2. $361,250
  3. $382,500
  4. $425,000

Why: LTV is loan / value (HUD Handbook 4000.1 Glossary), so the maximum loan is value x LTV: $425,000 x 0.80 = $340,000.

Source: HUD Handbook 4000.1, Glossary (Loan-to-Value)

A borrower buys a house for $310,000 that appraises at $300,000, with no inducements. She borrows $270,000. What is the loan-to-value ratio under HUD's definition?

  1. 87.1%
  2. 90% ✓
  3. 91.3%
  4. 93.5%

Why: HUD Handbook 4000.1 Glossary: LTV is "the Base Loan Amount divided by the Adjusted Value", and for a purchase the Adjusted Value is the lesser of the purchase price less inducements or the Property Value. The lesser is $300,000, so $270,000 / $300,000 = 90%.

Source: HUD Handbook 4000.1, Glossary (Loan-to-Value; Adjusted Value)

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