Primary 5 covers the four operations together, including order of operations without a calculator.
What the four operations actually asks of a Primary 5 student
Until now, calculations were done left to right because that was the only order available. Now the operations themselves decide the order, and getting it wrong produces a completely different answer.
Multiplication and division come before addition and subtraction, and brackets override everything. That is the whole rule, and applying it consistently is the whole skill.
This is genuinely a rules topic rather than a conceptual one, and it rewards deliberate practice more than explanation.
What the syllabus covers
Under the MOE primary mathematics syllabus, the four operations at Primary 5 covers:
- order of operations without calculator
- use of brackets
Where the marks actually go
Working strictly left to right, so 3 + 4 × 2 becomes 14 instead of 11.
Brackets ignored or evaluated after the multiplication.
Long expressions where one step is done correctly and the next reverts to left-to-right, usually because the working was not written out.
How to practise this properly
Write each step on a new line rather than doing several at once. Most errors happen in the steps that were never written down.
Underline the part to be done first before starting. Making the decision explicit stops the automatic left-to-right habit.
Practise pairs of expressions that differ only in bracket placement, so the child sees that brackets change the answer rather than decorate it.
Check by recalculating in a different order where possible — if the answers differ, the rule was applied inconsistently somewhere.
Give your child expressions where the left-to-right answer and the correct answer are both whole numbers and both look reasonable. If the wrong method produces an obviously silly result, the child never has to think; if it produces a plausible one, they have to apply the rule deliberately, which is the point.
What this leads to
Order of operations governs every algebraic expression from Primary 6 onwards. A student who is shaky here will misread algebra for years.
Almost every primary topic is scaffolding for a later one, and the scaffolding is invisible until it gives way. That is why our curriculum is written across all six years, Primary 1 to Primary 6, rather than level by level — it lets us see the whole structure a child is standing on, not just the step they are currently on.
What lessons at Odyssey are actually like
One of our students, unscripted, on how the lessons run. Secondary level in this clip; the same method underlies the primary classes. More are on Odyssey Math TV.
Getting help with this topic
We teach Primary 5 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.
If you are unsure whether tuition is the right answer yet, the free trial is a reasonable way to find out without committing to anything. We will give you an honest read on where your child stands and what would actually help. Book a free trial class 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
What is the order of operations?
Brackets first, then multiplication and division, then addition and subtraction, working left to right within each level.
Is a calculator used?
Not for this topic at Primary 5 — the syllabus specifies order of operations without a calculator.
Why does my child work left to right?
Because that is how reading works and how every earlier calculation was done. It takes deliberate practice to displace.
Do brackets always come first?
Yes. Anything inside brackets is evaluated before it is used in the rest of the expression.
