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Insurance mathematics in SPM Mathematics

Insurance questions carry long policy wording, and you are unsure which condition to apply first.

Insurance mathematics is about working out what an insurer pays and what the policyholder pays under stated policy conditions. This section has four lessons and a practice set, and sits within the SPM Mathematics guide.

What does this section cover?

Begin with interpreting premium, deductible and co-insurance in exam data, which gives you the vocabulary. Then calculate a claim using stated policy conditions, where order matters.

Next, distinguish life and general insurance in curriculum examples. The last lesson is checking under-insurance calculations with supplied formulas. The practice set mixes all four.

One house policy, four different questions

A worked example: a house is valued at RM300 000 and insured for RM180 000. The policy has an 80% co-insurance condition and a yearly premium of RM1 200.

Question What to notice Skill
What is the monthly premium? Divide the yearly premium by 12 Premium
What does the policy cover, a death benefit or property loss? Payout tied to a loss of value General insurance
The house needs RM40 000 of repairs Insured amount is below 80% × value Under-insurance
What share of the loss is paid? 180 000 ÷ 240 000 = 3/4 Claim: RM30 000

Four questions, one policy, four different steps. The skill is knowing which step the wording asks for.

Who should start where?

If the vocabulary is new, start with the first lesson and read the terms aloud. If you know the terms but lose marks on claims, go to the second and third lessons.

If your answers are close but the order of conditions trips you, go straight to the under-insurance lesson, then the practice set. Percentage work underneath is the same as in taxation mathematics, so a gap there will show up here too.

How do the parts connect?

Premium comes first because it is what the policyholder pays. A claim follows an event and depends on the stated conditions. Life and general insurance decide which kind of payout the question describes. Under-insurance is the most demanding case, because it combines a condition, a ratio and the loss.

Logging your slips in the mistake log tool shows which of the four skills needs another pass.

If insurance questions still cost you marks, a teacher in one-to-one Mathematics tuition can go through policy wording with you, one question at a time.

Common questions

Is insurance mathematics mostly reading or mostly calculation?

Both, but the reading decides the calculation. The arithmetic is short, often one or two percentages, yet the conditions in the wording tell you which to apply and in what order.

Do I need to memorise insurance formulas?

Check what your paper and textbook supply. Where a formula is given, practise using it exactly as written. Where it is not, you need to know it, so confirm with your teacher or the current syllabus documents.

Why do insurance answers look so different from each other?

Each policy states its own conditions, such as a deductible, a limit or a co-insurance percentage. The skill is applying the stated conditions in the stated order, not memorising one answer.

If insurance questions feel like reading puzzles, one-to-one Mathematics lessons let a teacher go through the policy wording with you and fix the order in which you apply each condition.

  • Online one-to-one lessons for your child with an experienced teacher.
  • Your first class is a one-hour trial, from RM50. The fee is agreed before you book.
  • Happy with the teacher? Continue with lessons of about 1.5 hours. If not, ask for another teacher.