Consumer Mathematics: Insurance

Premium

The amount paid for insurance cover, calculated from the rates a question gives.

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How it is used

A house is insured for RM120,000 at a rate of RM0.50 per RM100 of insured value. The annual premium = (120,000 ÷ 100) × RM0.50 = 1,200 × RM0.50 = RM600.

Where it shows up in SPM

In the Consumer Mathematics: Insurance chapter (Form 5), mostly as a Paper 2 structured question. You are given an insured value and a rate per RM100 (or RM1,000), and asked to compute the premium, then often adjust it for loading, discount, or a co-insurance shortfall.

Don't confuse it with

Sum insured (insured value)The sum insured is the value the item is covered for; the premium is the smaller payment you make to obtain that cover.
Claim amountThe premium is paid before a loss to buy cover; the claim is the money paid out to you after a loss occurs.

Open the chapter: Consumer Mathematics: Insurance →

Frequently asked questions

How do I know whether to divide by 100 or by 1,000?

Read the rate carefully. If it says RM0.50 per RM100, divide the insured value by 100 first; if it says RM x per RM1,000, divide by 1,000.

Match the divisor to the wording of the rate, then multiply by the rate.

A question adds a 20% loading to the premium, what does that mean?

Loading is an extra charge for higher risk. Work out the basic premium first, then add 20% of it.

If the basic premium is RM600, the loading is RM120, so the premium payable becomes RM600 + RM120 = RM720.

If I insure something for only half its value, is my premium wrong?

No, the premium is still correct for the sum insured you chose. But under-insuring triggers the co-insurance rule at claim time: a claim is scaled by (sum insured ÷ full value), so you receive less than the loss.

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