Form 5 · Chapter 3

Consumer Mathematics: Insurance

How insurance works — premiums, sum insured and types of policy — for SPM Mathematics Form 5, with a worked example and an interactive exercise.

Consumer Mathematics: Insurance is about protecting against financial loss by paying a regular premium.

1. How insurance works

You pay a premium to an insurer; in return, the insurer pays out if a covered loss happens. Common types include life, medical, motor and fire insurance. The sum insured is the maximum the policy will pay.

2. Key ideas

  • The premium depends on the risk and the sum insured — higher risk, higher premium.
  • Motor and some other insurance is often compulsory by law.
  • Insurance spreads the cost of rare, large losses across many policyholders.

Worked example

An annual premium is $\text{RM}600$, paid in $12$ equal monthly instalments. Find the monthly payment.

Monthly payment $= \dfrac{600}{12} = \text{RM}50$.

Exam tips

  • The premium is what you pay; the sum insured is the maximum payout.
  • Higher risk (or higher coverage) means a higher premium.
  • Motor insurance is legally required to drive on public roads.

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