How to help your child with problem sums

It is 9pm and your child is stuck on a problem sum

You can see the answer. The temptation is to just show them, write the steps, move on, get everyone to bed. Resist it. A child who copies your working learns nothing, and freezes the moment the numbers change in the exam. The harder, more useful job is to keep them thinking. Here is how to do that even if your own maths is rusty.

Why problem sums are hard in the first place

A problem sum is never just maths. It is reading comprehension, then choosing a concept, then choosing a method, then doing the arithmetic, all in one question. A wrong answer can come from any of those four places. So your first move is never "here is the answer." It is "where did this actually go wrong." More often than you would think, the maths is fine and the child simply misread the question.

A method you can use, step by step

You do not need to remember how to solve the problem. You need to ask the right questions in the right order.

1. 1Read it together, and find the keywords. What are we told? What are we asked to find? Underline the numbers and the actual question. Half of all problem-sum errors are solved right here, just by reading slowly.
2. 2Draw it. Singapore maths is built on this. A bar model, a number line, a quick sketch. Drawing turns a wall of words into relationships your child can see. If they can draw the problem, they can usually solve it.
3. 3Ask, "what do we know, and what do we need?" Let them say the plan out loud before touching the numbers. Planning is the step kids skip, and the step that matters most.
4. 4Let them try. Hint, do not hand over. If they stall, nudge the next step ("what could you work out first?"), not the answer. The struggle is where the learning happens.
5. 5Check back. Does the answer make sense? Re-read the question. Did they answer what was actually asked?

What this looks like in practice

Take a typical question: Mia and Tom share 48 stickers. Mia gets 3 times as many as Tom. How many more stickers does Mia get than Tom?

Read it together. The keyword is "3 times as many," and the actual question is "how many more," not "how many does Mia get." Many children solve the whole thing correctly and then answer the wrong question. Spotting that now saves the mark.

Draw it. Tom is one bar. Mia is three bars the same size. Together that is four equal bars making 48.

Plan. If four bars make 48, one bar is 48 divided by 4.

Try it. One bar is 12. So Tom has 12 and Mia has 36.

Check back. Does it make sense? 12 and 36 add to 48, good. And the question asked how many more: 36 minus 12 is 24. The answer is 24, not 36. The drawing made the whole thing visible, and the check caught the trap in the wording.

Notice you never did the maths for them. You asked five questions and let them do the thinking.

The "explain it to me" trick

When they think they are done, ask them to teach you the solution as if you do not understand it. Explaining out loud exposes the shaky parts fast. If they can talk you through why each step works, they own it. If they stumble, you have found exactly where to look.

When they get it wrong

Do not just correct it. Ask, "where do you think it went wrong?" Letting a child find their own mistake builds the habit of checking, which is worth more over a year than any single right answer. Keep the tone curious, never exasperated. A wrong answer is information, not a failure.

The honest limit

If the same kind of problem keeps breaking, no amount of extra problem sums will fix it. That is the signal that the gap is in the concept underneath, not the practice. Go back to the idea itself, fractions, ratio, whatever it is, and rebuild it. More drilling on a shaky foundation just practises the mistake faster.

Your job at the kitchen table is not to be the expert. It is to keep your child reading carefully, drawing the problem, thinking out loud, and staying calm. Do that, and you have done the most useful thing a parent can do with maths homework.

If you want the worked solutions, hints, and concept explanations handled for you so the late-night guessing stops, that is exactly what StudyLah is built to do.