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Insurance Math Quiz — 20 Questions with Answers

Free Insurance Math quiz with instant feedback. Put your calculator skills to the test with real insurance math scenarios. Calculate deductibles, coinsurance penalties, liability limits, policy comparisons, and gap insurance payouts. This quiz covers 20 questions ranging from beginner to advanced.

Question 1: Your car is totaled. The repair estimate is $8,000 and your collision deductible is $500. How much does your insurance company pay?

When your vehicle is damaged in a collision, the insurance company does not simply hand you a check for the full repair cost. You agreed to a deductible when you purchased the policy, and that deductible is your share of the cost. The insurance company pays the remainder after you cover your portion. This is one of the most fundamental calculations in auto insurance.

Correct — insurance pays $8,000 minus your $500 deductible.

Question 2: Your monthly auto insurance premium is $140. You qualify for a 20% good driver discount. How much do you save per year?

Insurance discounts can add up to significant annual savings, but many people only think about the monthly impact. A percentage discount on your premium might seem small when you look at a single month, but over a full year those savings compound into real money. Understanding the annual impact helps you appreciate why maintaining a clean driving record is worth the effort.

Correct — $140 x 20% = $28/month, x 12 = $336/year.

Question 3: You have health insurance with a $2,000 deductible, 20% coinsurance, and a $6,000 out-of-pocket maximum. You have a $10,000 medical bill. How much do you pay total?

Health insurance cost-sharing involves multiple layers that work together. First you pay your entire deductible before insurance covers anything. Then you split costs with your insurer through coinsurance until you hit your out-of-pocket maximum. Understanding how these layers stack is essential to predicting your actual healthcare costs.

Correct — $2,000 deductible + 20% of $8,000 = $3,600.

Question 4: Your home is insured for $300,000. Your policy has an 80% coinsurance clause. What is the minimum amount you must insure the home for to avoid a coinsurance penalty?

Homeowners insurance includes a coinsurance clause that most policyholders never think about until they file a claim. This clause requires you to insure your home for at least a certain percentage of its replacement cost. If you insure for less, the insurance company will penalize you by reducing your claim payout proportionally. It is a trap that catches underinsured homeowners.

Correct — 80% of $300,000 = $240,000 minimum.

Question 5: You cause an accident. Two people are injured with medical bills of $80,000 and $60,000. Your liability limits are 50/100/50. How much does insurance pay for the injuries?

Liability limits work as a two-layer cap system. The first number is the maximum per person, and the second number is the maximum per accident regardless of how many people are hurt. You need to check both limits for each injured person and then check the total against the per-accident cap. This calculation reveals why higher limits matter in multi-person accidents.

Correct — person 1 capped at $50K, person 2 at $50K, total $100K matches per-accident limit.

Question 6: Pet insurance: your dog needs a $4,500 surgery. Your plan has a $250 annual deductible (already met), 80% reimbursement rate, and $10,000 annual limit. How much does insurance reimburse?

Pet insurance reimbursement works differently from human health insurance. Most plans reimburse you a percentage of the vet bill after the deductible is met. Since the deductible has already been satisfied for the year, the full bill is subject to the reimbursement rate. Understanding this calculation helps you predict your real out-of-pocket cost for veterinary emergencies.

Correct — deductible already met, 80% of $4,500 = $3,600.

Question 7: You are comparing two auto policies. Policy A: $160/month, $500 deductible. Policy B: $120/month, $1,500 deductible. Assuming zero claims, how much do you save per year with Policy B?

Choosing between a higher premium with lower deductible versus a lower premium with higher deductible is one of the most common insurance decisions. The right choice depends on how likely you are to file a claim. With zero claims, only premiums matter. Running the numbers reveals how much the lower-premium option actually saves you.

Correct — Policy A costs $1,920/year, Policy B costs $1,440/year, saving $480.

Question 8: Your umbrella policy has a $1M limit. Your auto liability is 100/300/100. You cause an accident with a $500,000 injury judgment. How much do you pay out of pocket?

Umbrella insurance exists precisely for situations where a judgment exceeds your base policy limits. The layers of coverage work in sequence: first your underlying auto or home policy pays up to its limit, then the umbrella kicks in for the remainder. Understanding this layered math shows why umbrella policies provide enormous value for a relatively small annual premium.

Correct — auto pays $300K, umbrella pays $200K, you pay nothing.

Question 9: You have a $350,000 home insured for $200,000 with an 80% coinsurance clause. A fire causes $100,000 in damage. How much does insurance pay (before deductible)?

The coinsurance penalty is one of the most punishing surprises in insurance. When you insure your home for less than the required percentage of its replacement cost, the insurer treats you as a co-insurer for the shortfall. The penalty formula reduces your payout proportionally based on how underinsured you are. This calculation shows why carrying adequate coverage is not optional.

Correct — ($200K / $280K) x $100K = $71,429.

Question 10: You buy gap insurance for $400. Your car loan balance is $28,000 and the car is worth $22,000 (ACV). You total the car. What is your net financial benefit from the gap insurance?

Gap insurance is one of those policies that either saves you thousands or costs you a small amount for nothing. The math is straightforward but the stakes are high. When you total a financed car, regular insurance pays the actual cash value, but you still owe the full loan balance to the lender. Gap insurance covers the difference. Calculating the net benefit tells you whether the policy was worth the cost.

Correct — gap covers $6,000 difference minus the $400 you paid = $5,600 net benefit.

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