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Study problem · Mathematics

Right calculation, wrong final answer

Every line of your working looks correct, yet the answer on the last line is marked wrong.

When every line is right but the final answer is wrong, the slip usually sits between the last calculation and the question’s target. A ten-second check of that gap fixes most cases.

This page is part of SPM Mathematics. The same habit starts earlier in checking a long word problem before writing equations.

What does the last-line check look like?

Read the final sentence of the question again. Then ask three things: is my answer the quantity asked, is it in the unit asked, and is it rounded as asked?

Underline the question’s target in pencil when you first read it. At the end, your eye goes back to the underline.

Worked example: the right value, the wrong answer

An original question: a rectangle has length (2x + 1) cm and width x cm. Its perimeter is 26 cm. Find the area of the rectangle.

Working. Perimeter = 2(2x + 1 + x) = 2(3x + 1) = 6x + 2. So 6x + 2 = 26, so 6x = 24, so x = 4.

The wrong final line. The student writes “x = 4” and stops. Every step is right, but the question asked for the area, not for x.

The correct finish. Width = 4 cm and length = 2(4) + 1 = 9 cm. Area = 9 × 4 = 36 cm². Check: perimeter = 2(9 + 4) = 26 cm, so the values are consistent.

Which mistake is behind this?

Stopping when the equation is solved. It feels like the end because solving is the hard part, but x is a helper, not the target.

Another version is the wrong quantity from a right value. A student who finds the diameter as 14 cm and writes the radius as 14 has lost the final step, dividing by 2.

A short self-check

Try this: the sum of two consecutive whole numbers is 41. Find the larger number and their product.

Answer

Let the numbers be n and n + 1. Then 2n + 1 = 41, so n = 20 and the numbers are 20 and 21. The larger number is 21, and the product is 20 × 21 = 420. A student who stops at n = 20 has answered neither part.

Write a two-word label for each lost mark in the mistake log tool, such as “stopped early” or “wrong quantity”. The labels that repeat are the habit to fix.

When might one-to-one tuition help?

If the last-line check works in practice but fails under time pressure, a teacher can set up short timed questions and watch where your attention drops. That kind of live observation is hard to get from a worksheet. For skills under the algebra itself, the algebra step repair trainer offers extra drills.

You can start with the one-hour trial class (from RM50), a real taught lesson, using your own marked questions. The fee is agreed before the trial, and afterwards you decide whether the teacher is a good fit. More is on the SPM Mathematics tuition page.

Common questions

Why is my final answer wrong when the working is correct?

The usual cause is answering a nearby question: giving the radius instead of the diameter, the total instead of the difference, or x instead of the value asked. The working is right for the wrong target.

What should I check at the end of a question?

Reread the final sentence of the question, then look at your answer line. Ask whether it is the same quantity, in the same unit, rounded as required.

Do I get marks for correct working if the answer is wrong?

Often method marks are awarded for correct steps, but the exact scheme comes from the official mark scheme. Write each step clearly so the marks for the correct parts are visible.

Is this a careless mistake or a knowledge gap?

It is a habit gap, which is easier to fix than a knowledge gap. A fixed last-line check of ten seconds removes most of these errors.

If your working is sound but the last line keeps losing marks, one-to-one Mathematics lessons let a teacher watch the moment you finish and show you the gap between your result and the question's target.

  • 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.