Numbers to 999/1000
Place value in hundreds, tens and units; reading, writing, comparing.
Class 3 · Maths
Class 3 maths tuition: tables, division and no remainders
Class 3 maths tuition introduces the × and ÷ signs for the first time, multiplication tables to 10 with every product kept at 100 or below, and division that is always exact - no remainders appear until Class 4. Fractions are named, “one quarter” rather than “1 out of 4”, and measurement stays in whole metres, litres and kilograms.
Class 3 opens the NEP 2020 Preparatory Stage, and NCERT's book, Maths Mela, marks two firsts: the × and ÷ symbols arrive at last. Multiplication now has a sign for the “times” language of Classes 1 and 2, though every product stays at 100 or under. Division lands exactly - nothing is left over. Fractions are words, not numbers - “one quarter”, never “1 out of 4” - and measurement stays in whole metres, litres and kilograms, with no cm, g or ml.
A free 20-minute assessment. We find where your child actually is, then tell you what we would do about it. No card, no commitment.
What is taught
The Class 3 Maths syllabus, topic by topic
Addition and subtraction with regrouping
3-digit ± 2-digit sums, worked through Dienes blocks and number lines before any written shortcut.
Multiplication tables to 10, × sign introduced
Every product kept at 100 or below; no formal 2-digit × 1-digit column method yet.
Division, ÷ sign introduced, always exact
2-digit ÷ 1-digit questions such as 45 ÷ 5; Class 3 never leaves a remainder.
Fractions named, not written as numbers
“One quarter”, “one half”, spoken and shown as a picture; no numerator or denominator, no fraction sums.
Measurement in whole units only
Metre, litre, kilogram; centimetres, grams and millilitres are not part of Class 3.
Shapes and patterns
2D and simple 3D shapes, symmetry, pattern continuation; no perimeter, no area, no dedicated data chapter this year.
Class 3 Maths in detail
What does Class 3 maths actually cover?
Class 3 maths, from NCERT's Maths Mela, covers numbers to 999, addition and subtraction of a 3-digit and a 2-digit number with regrouping, the × sign with products capped at 100, the ÷ sign for exact division only, fractions named rather than written as numbers, and measurement kept to whole metres, litres and kilograms.
NCERT's current Class 3 book is Maths Mela, a step up from Classes 1 and 2 - this is where formal symbols begin.
- Numbers to 999/1000. Full place value in hundreds, tens and units, reading, writing and comparing.
- Addition and subtraction with regrouping. Three-digit plus two-digit sums, worked through Dienes blocks before any written shortcut.
- The × sign, at last. Tables to 10 consolidated, every product kept at 100 or below - no 2-digit by 1-digit column method yet.
- The ÷ sign, always exact. Two-digit by one-digit division, and every question divides with nothing left over.
- Fractions, named not written. “One quarter” matched to a picture, no numerator or denominator.
- Whole-unit measurement. Metres, litres and kilograms only; cm, g and ml are not part of Class 3.
There is no perimeter, area or data chapter this year. Class 3 gives the new symbols a narrow range before it expands.
Why does Class 3 division never leave a remainder?
NCERT's Class 3 book introduces the ÷ sign for the first time, and every division question is exact - 18 ÷ 9, 45 ÷ 5, 32 ÷ 8 and the rest all land on a whole answer. Remainders are a deliberately later idea, taught in Class 4, once a child is secure with division as exact sharing.
Look through Maths Mela's division questions and a pattern jumps out: every one comes out exactly. 18 ÷ 9, 20 ÷ 5, 16 ÷ 4, 15 ÷ 5, 12 ÷ 2, 32 ÷ 8, 45 ÷ 5 - seven facts in the whole book, and none leaves anything over.
This is not an oversight. Division is a genuinely new symbol this year, and NCERT introduces it the way it introduced × - attached only to numbers a child can already handle confidently, so the symbol is the only new thing being learned this year.
The remainder itself is a Class 4 idea, arriving in its own chapter. Until then, if a division sum given to a Class 3 child does not divide exactly, the sum does not belong to this year's syllabus. A worksheet generating a random 2-digit ÷ 1-digit sum without checking for a remainder is testing Class 4 content early.
Why does Class 3 say “one quarter” instead of “1 out of 4”?
NCERT's teacher's note for the fractions chapter is explicit: refer to the fraction as one quarter, not as 1 out of 4. Class 3 fractions are a naming and picture-matching exercise for halves and quarters - no numerator, no denominator, no fraction arithmetic. That machinery starts in Class 5, and fraction addition never appears in primary school.
NCERT's teacher's note for the Class 3 fractions chapter is unusually direct: refer to the fraction as one quarter, not as “1 out of 4”. That is a deliberate instruction, not a stylistic preference.
“1 out of 4” describes a selection - one thing chosen from a group of four separate things. “One quarter” describes a part of a single whole divided into four equal pieces. They sound similar but point at different ideas, and the second is what a fraction represents. Starting with the wrong picture tends to resurface once fraction arithmetic begins.
So Class 3 fractions stay entirely at naming and picture-matching: a shaded half of a circle is “one half”, a shaded quarter of a square is “one quarter”. There is no numerator, no denominator, and nothing is added or subtracted. Those are named in Class 5; fraction addition itself does not appear anywhere in primary school - it is held back for Class 6.
How do we teach Class 3 maths tuition?
We treat × and ÷ as genuinely new arrivals, built with real counters before they are written with a symbol, and keep every product at 100 or below and every division exact. Regrouping is taught with Dienes blocks first, and fractions stay entirely in language and pictures.
Every Class 3 class treats × and ÷ as new arrivals. A child builds a table with real counters before using × for it, and works a division sum with objects shared into equal groups before writing it with ÷. We keep every product at 100 or below and every division exact.
Regrouping for addition and subtraction is taught with Dienes blocks first - hundreds, tens and units a child can physically exchange - so a written method, when it appears, is a shortcut for something already understood. Fractions are taught entirely through language and pictures, with no numerator or denominator introduced early.
Measurement stays in whole metres, litres and kilograms, with real metre sticks and litre bottles wherever we can find them, because a unit a child has held is a unit she remembers. Classes run with a matched teacher, with a note home naming what was practised.
At a glance
Class 3 Maths, topic by topic
What the year covers, and what a child on track can do by the end of it.
| Topic | What it actually involves |
|---|---|
| Numbers to 999/1000 | Place value in hundreds, tens and units; reading, writing, comparing. |
| Addition and subtraction with regrouping | 3-digit ± 2-digit sums, worked through Dienes blocks and number lines before any written shortcut. |
| Multiplication tables to 10, × sign introduced | Every product kept at 100 or below; no formal 2-digit × 1-digit column method yet. |
| Division, ÷ sign introduced, always exact | 2-digit ÷ 1-digit questions such as 45 ÷ 5; Class 3 never leaves a remainder. |
| Fractions named, not written as numbers | “One quarter”, “one half”, spoken and shown as a picture; no numerator or denominator, no fraction sums. |
| Measurement in whole units only | Metre, litre, kilogram; centimetres, grams and millilitres are not part of Class 3. |
| Shapes and patterns | 2D and simple 3D shapes, symmetry, pattern continuation; no perimeter, no area, no dedicated data chapter this year. |
On track by the end of Class 3 looks like
- Reads, writes and compares any number to 999 using place value.
- Adds and subtracts a 3-digit and a 2-digit number, regrouping with blocks or a number line when needed.
- Uses tables to 10 and the × sign for products up to 100.
- Divides exactly using the ÷ sign, such as 45 ÷ 5, without expecting a remainder.
- Says “one quarter” or “one half” correctly for a shaded picture, without needing to write a fraction.
- Measures and compares length, capacity and mass in whole metres, litres and kilograms.
Where it usually goes wrong
- Meets the × and ÷ signs for the first time and briefly treats them as interchangeable with the words she already knew.
- Is given a division sum that does not come out exactly, from a worksheet written for an older syllabus, and cannot make sense of the leftover.
- Says “1 out of 4” instead of “one quarter”, a phrasing the current book deliberately avoids.
- Is asked a 2-digit × 1-digit column sum that belongs to Class 4, and tries to force it into table facts she has not been taught to combine that way.
- Measures something in centimetres because an older textbook used cm, when Class 3 stays in whole metres.
Fees
What Class 3 Maths tuition costs
What Class 3 tuition costs
Class 3 sits in Class 1 to 5. One teacher across all subjects, building the basics.
- Spoken English8 live classes/month
- ₹2,000/month
- All Subjects16 live classes/month
- ₹3,000/month
- One-to-One12 live classes/month
- ₹5,000/month
Per child, per month. See every plan and what is included.
Where this comes from
Sources for what is on this page
Everything above about the syllabus is checked against the boards’ own material rather than against other tuition sites. If a claim cannot be traced back to one of these, it is not on the page.
Same class
Everything else we teach in Class 3
Questions
Class 3 Maths, answered
Why has my Class 3 child suddenly started using × and ÷ signs?
Because Class 3 is where NCERT's syllabus introduces both symbols for the first time. Multiplication already existed as spoken language - “6 times 3” - since Class 1, and division as sharing since Class 2; Class 3 simply gives both a written sign, attached only to numbers a child can already handle.
Should Class 3 division always come out exactly, with nothing left over?
Yes. Every division question in NCERT's Class 3 book divides exactly - no remainder anywhere in the syllabus. A 2-digit ÷ 1-digit sum that does not come out evenly belongs to Class 4, where remainders are introduced. A struggling child is not behind; the sum was written for an older child.
Why does my Class 3 child say “one quarter” instead of “1 out of 4”?
Because NCERT's teacher's note for this chapter specifically asks for that phrasing. “One quarter” describes a single whole divided into four equal parts, which is what a fraction actually is; “1 out of 4” describes choosing one item from a group of four things, a different idea entirely.
Is my Class 3 child behind if she can't multiply a 2-digit number by a 1-digit number in columns?
No. Class 3 keeps every multiplication product at 100 or below, using tables to 10 - there is no formal 2-digit by 1-digit column method in the syllabus. That written method arrives in Class 4. A child working within tables to 10 is on track.
Why does Class 3 measurement skip centimetres and use only metres?
Class 3 keeps every measurement in whole units - metres, litres and kilograms - with no centimetres, grams or millilitres in the syllabus. Those smaller units, and conversions between them, arrive in Class 4. A child who has never measured in centimetres has not missed anything.
How much carrying or regrouping should a Class 3 child be doing?
Some, but taught concretely rather than as a written shortcut. Class 3 addition and subtraction of a 3-digit and 2-digit number involves regrouping, but NCERT's note asks for Dienes blocks first. The fully formal column algorithm, with “regrouping” rather than “carrying”, is not formalised until Class 4.
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See how your child is doing in Class 3 Maths.
A free 20-minute assessment. We find where your child actually is, then tell you what we would do about it. No card, no commitment.
- You tell us the class, board and what is going wrong.
- We match a teacher who has taught exactly that, and send you a time.
- A free 20-minute assessment. Sit beside your child if you like.
- No card, no commitment
- Live classes, never a crowd
- The same teacher every week