Skip to content
SPM Tuition
Lesson · Mathematics

Checking a plan against a goal

Your plan sounds reasonable, but you have not checked if the numbers reach the target.

To check a plan against a goal, multiply what is saved each month by the months available, and compare the total with the target. The gap, if any, tells you what to change.

This lesson completes the consumer mathematics and financial planning section. It uses the surplus from building a cash-flow statement from supplied data.

What are the steps?

Write down your assumptions first.

  1. State the target and the time allowed.
  2. Find a realistic monthly saving from the cash-flow statement.
  3. Total saved = monthly saving × months.
  4. Compare with the target, and calculate any shortfall.

Worked example: a laptop fund

Aina is an invented student. Her goal is RM5 000 in 18 months, and she can save RM250 each month. Assume no interest.

Total saved = 250 × 18 = RM4 500. Shortfall = 5 000 − 4 500 = RM500. The plan does not meet the goal.

Fix 1: save more. Needed each month = 5 000 ÷ 18 = 277.78, so round up to RM278. Check: 278 × 18 = RM5 004, which reaches the target.

Fix 2: take longer. At RM250 each month, 5 000 ÷ 250 = 20 months. Check: 250 × 20 = RM5 000.

The mistake that uses the best month

Aina’s surplus was RM750 in January but −RM350 in February. A student might plan on RM750 each month and conclude that 750 × 18 = RM13 500 is far more than RM5 000.

That plan assumes every month looks like the best one. The usual surplus is the safer figure, and any one-off item must be allowed for.

Check yourself

The goal is RM3 600 in 12 months, and the monthly saving is RM280. Does the plan meet the goal? If not, what monthly saving is needed?

Answer

Total saved = 280 × 12 = RM3 360. The shortfall is 3 600 − 3 360 = RM240, so the plan does not meet the goal.

Needed each month = 3 600 ÷ 12 = RM300. Check: 300 × 12 = RM3 600.

What to study next

Test all four skills in the consumer mathematics practice set. Then see how percentages behave in several steps in rates and percentages in multistep consumer questions.

If you want a teacher to check your plan arithmetic on new questions, see online one-to-one Mathematics tuition.

Common questions

How do I check whether a plan meets a goal?

Multiply the amount saved each month by the number of months, then compare the total with the target. If the total is lower, the difference is the shortfall.

How do I find the amount needed each month?

Divide the target by the number of months. If the answer has cents and you can only save whole ringgit, round up, because rounding down leaves you short.

Should I use my best month to plan?

No. Use the usual surplus, and allow for months with one-off items. A plan built on the best month will fall short when a normal or weak month comes.

Do these examples include interest?

No. The assumption here is that no interest is earned, so the check is simple multiplication. A question will state if interest is to be included.

If a plan looks fine until the final total is worked out, one-to-one Mathematics lessons let a teacher practise the check with you and show which figure to trust.

  • 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.