Primary 3 covers the multiplication tables of 6, 7, 8 and 9, multiplying and dividing within the tables, division with remainder, written algorithms up to three digits by one digit, and mental calculation within the tables.
What multiplication and division actually asks of a Primary 3 student
Two hard things arrive together. The remaining tables — 6, 7, 8 and 9 — are the ones without easy patterns, and division with remainder is the first time an answer has two parts.
Remainders are conceptually new. Until now every division has come out exactly, and a child must now accept that “4 remainder 3” is a complete answer rather than an unfinished one.
The written algorithms also lengthen: three digits by one digit, with regrouping at each step.
What the syllabus covers
Under the MOE primary mathematics syllabus, multiplication and division at Primary 3 covers:
- multiplication tables of 6, 7, 8 and 9
- multiplying and dividing within the multiplication tables
- division with remainder
- multiplication and division algorithms (up to 3 digits by 1 digit)
- mental calculation involving multiplication and division within the tables
Where the marks actually go
The 7 and 8 tables are the weakest across almost every class, and 7 × 8 is the single most-missed fact in primary mathematics.
Remainders larger than the divisor — answering “5 remainder 7” when dividing by 6 — show the division was stopped too early.
In word problems the remainder is reported when the context requires rounding up. If nine children need cars holding four, the answer is three cars, not two remainder one.
How to practise this properly
Attack 6, 7, 8 and 9 through what is already known: 6 × 7 is 6 × 6 plus 6, and 9 × anything is ten times it minus one lot. Give the child a route when recall fails.
After every division with remainder, check that the remainder is smaller than the divisor. It is a one-second check that catches the commonest error.
Practise remainder word problems where the context decides what to do with the remainder. That decision, not the division, is what the question is really testing.
What this leads to
Primary 4 brings the four operations together and Primary 5 introduces order of operations. Both assume tables are automatic, because a child still computing 7 × 8 has no capacity left for the structure of the problem.
This is the case for continuity. When the same curriculum carries a child from Primary 1 to Primary 6, nobody has to reconstruct where an earlier gap was left, and no year is taught as though the previous one did not happen. It also means a child moving up does not have to adjust to a different way of explaining the same ideas.
What lessons at Odyssey are actually like
A student on how the lessons work in practice. The clip is from our secondary classes, but the way concepts are explained is the same at every level. More are on Odyssey Math TV.
Getting help with this topic
We teach Primary 3 maths in small classes at Hexacube, 160 Changi Road #01-02, about three minutes from Eunos MRT. You can see our class schedules and fees, read about our math tutors, or look through the primary school math tuition programme as a whole. If your child is in a nearby school, our primary school directory may be useful too.
We would rather place a child correctly than quickly. The free trial lesson tells us — and tells you — what is genuinely needed, which is sometimes less than parents expect and occasionally rather more. Book a free trial or WhatsApp +65 8512 6882.
What we describe here comes from teaching this syllabus in our own classes since 2012. It is not a forecast for any individual child: progress is produced jointly, by a student willing to do the work with support at home. We do not promise grades. Topics follow the MOE primary mathematics syllabus — check the current syllabus on the MOE website for the definitive version, and see our curriculum page for how we teach it.
Frequently asked questions
Which tables are new at Primary 3?
The 6, 7, 8 and 9 tables. Primary 2 covered 2, 3, 4, 5 and 10.
What does “division with remainder” mean?
A division that does not come out exactly, so the answer has a quotient and a remainder. The remainder must always be smaller than the number you divided by.
In word problems, should the remainder be ignored?
It depends entirely on the context. Sometimes it is discarded, sometimes it forces rounding up, and sometimes it is the answer. Reading the situation is the skill being tested.
How do I help with the 7 and 8 tables?
Build them from neighbours the child already knows, and practise the handful of genuinely hard facts more often than the easy ones rather than drilling the whole table evenly.
