Arizona Real Estate Exam Math: Commission, Proration & Community Property
Key math problems for the Arizona real estate exam with formulas, community property scenarios, and worked examples.
Math appears throughout Arizona's 180-question exam. Here are the formulas and worked examples.
Commission Calculations
Example: Property sells for $620,000. Commission 5.5%, split 50/50. Listing agent earns 55%. - Total: $620,000 × 0.055 = $34,100 - Listing side: $17,050 - Agent: $17,050 × 0.55 = $9,377.50
Community Property Math
Example: Married couple purchases a home for $480,000 during marriage. After divorce, the home is worth $550,000 with $200,000 remaining mortgage. - Equity: $550,000 - $200,000 = $350,000 - Each spouse's share: $350,000 ÷ 2 = $175,000
Proration
Example (360-day): Taxes $5,400. Closing September 30. - Daily: $5,400 ÷ 360 = $15/day - Seller's days (Jan–Sept): 270 days - Seller's credit to buyer: 270 × $15 = $4,050
Cap Rate
Example: Commercial building generates $90,000 NOI. Cap rate 7.5%. - Value = $90,000 ÷ 0.075 = $1,200,000
Net to Seller
Example: Seller wants $420,000 net after 5.5% commission. - Sale Price = $420,000 ÷ 0.945 = $444,444.44
[Practice Arizona math at CARealestate.com/states/arizona](https://carealestate.com/states/arizona)
Ready to test your knowledge?
Start with 5 free CA real estate exam questions — no signup required.
Take the Free Quiz →