3 x 4 or 4 x 3? Why the Order Can Matter in Primary 2 Maths

2 October 2026 · by Larry

Your child writes 4 × 3 = 12 for “3 bags with 4 sweets in each bag”. The answer is right. The teacher has still put a mark against it, or a note saying “check the order”. You look at the page and think, quite reasonably, that 3 × 4 and 4 × 3 are the same thing.

They are the same answer. They are not, at this age, the same sentence, and that is the whole story. It is one of those Primary 2 moments where the parent is right about the arithmetic and the school is asking about something else.

Why the two are taught as different pictures

Multiplication in Primary 2 starts as groups of. Three groups of four sweets is one picture. Four groups of three sweets is another: a different number of bags, and a different number of sweets in each. Both come to twelve, but a child looking at them sees two different arrangements, and the first thing they are taught is to match the sum to the picture.

Only later, once they have seen that you can turn a grid of dots on its side and the total stays the same, do they get to say that the order does not change the answer. Teaching it in that order is the reason a child can lose a mark for a right answer: the question was checking whether they matched the sum to the story, and the answer alone does not show that.

Which way round does the school read it?

Here is the awkward part. The times sign can be read as “3 groups of 4” or as “3 taken 4 times”, and which one a school uses is the school’s choice. I am not going to tell you which is correct, because it depends on the book in your child’s bag. Open the workbook, find an example that has been worked out for the child, and see how it writes “3 bags of 4 sweets”. Whichever way round the book writes it is the way round your child is being asked to use.

If the book does not make it clear, ask the teacher in one line: “When you mark a groups-of question, which number do you want first?” It is a normal question, and a quick one to answer.

Three things this can look like

The same red mark can come from three quite different situations, and they need different responses.

• The picture is right, the order is flipped. Your child knows there are 3 bags and 4 sweets in each, and has simply written the numbers in the wrong order. This is the harmless one. It is fixed by a habit: say the story out loud, first number first, then write.
• The child writes whichever order feels easier. You will see 2 × 5 where the story was five plates with two biscuits each, because 2 × 5 is a fact they know. This tells you the sum is being chosen from the numbers, not from the story, and that matters later.
• The child has not pictured it at all. They see a 3 and a 4, they know the table that goes with them, and the answer comes out of memory rather than from the question. The order is a coin toss because there was never a picture to match.

The third is the one worth catching, and the order mark is sometimes the first sign of it. A child who works from the numbers alone is fine in Primary 2 and starts to lose marks when the questions get longer and carry numbers that are not meant to be multiplied at all, which is the same slip described in word problems when the sums are fine but the story is not.

A five-minute check at the kitchen table

Use sweets, coins or small blocks, and do the first part with no writing at all.

• Say: “There are 5 plates and 2 biscuits on each plate.” Ask your child to lay it out.
• Ask: “How many plates? How many on each plate?” Notice whether they answer without hesitating.
• Now ask them to write the multiplication sentence. Look at which number they put first, and compare it with how the school workbook writes its own examples.
• Then say: “Now 2 plates with 5 biscuits on each.” Same two numbers, different picture. Ask them to lay it out and write it.

If they lay both out correctly but write them the same way, the habit is the problem, not the understanding. If they lay out the second one by simply rearranging the first, they have not yet separated the two pictures.

What helps

• Draw it before writing it. Circles for the groups, dots inside each circle. Three circles with four dots is 3 groups of 4. It takes ten seconds and it makes the order visible.
• Say the sentence aloud, in words, first. “Three groups of four.” Then write the numbers in the same order they were spoken.
• Turn the picture on its side. Once a child has laid out three rows of four counters, a quarter turn gives four rows of three. That is the moment they can see for themselves why the answers match, which is what the school is building towards. The times tables piece uses the same picture.
• Keep the question’s own words. “Each” and “in every” usually point at the size of one group. Underline them together.

What does not help

• Saying “it is the same answer, it does not matter.” True, and your child may repeat it to the teacher. It removes the one thing they are being asked to practise.
• More drilling of the tables. The facts are rarely the trouble here. A child who knows 3 × 4 perfectly can still write it the wrong way round for a story.
• Treating it as carelessness. A child who always writes the bigger number first, or the one they know best, is following a rule they invented. It is a sensible rule that happens not to match the question.

When it stops mattering

Not every question is about the picture. Once the facts are being used as facts, for example when finding factors and multiples, nobody minds which way round 3 × 4 is written. The care over order is about one skill, matching a sum to a situation, and it is practised in P2 so that it is automatic by the time the word problems are longer. Division uses the same picture the other way round: twelve sweets shared between three bags is the same arrangement seen from the opposite end, which is why a child who has the picture rarely needs division taught as a separate set of facts.

Which tables a child is expected to know in which year depends on the school, so check the class workbook first; the MOE primary mathematics syllabus on moe.gov.sg lists the topics by level. StudyLab’s Primary 2 Times Tables covers 2, 3, 4, 5 and 10, and Primary 3 carries on to all the tables. A few minutes there helps with recall, but the order-of-writing habit is better built with real sweets on a real table. If your child is also finding the jump from P1 hard, what actually changes from P1 to P2 covers where multiplication fits in the year.