Every parent watching a child do homework has the same quiet question, and almost nobody says it out loud: is this normal for their age?

Schools rarely answer it directly. Reports talk about effort and progress; curriculum documents run to hundreds of pages and are written for teachers. So parents are left comparing their child to a cousin, a classmate, or a memory of themselves — none of which is a fair ruler.

This page is the ruler. Below is a grade-by-grade checklist of the mental maths skills that should be automatic — not just teachable, but instant — between roughly ages 6 and 11. Two honest caveats before we start: grade boundaries are fuzzy, and curricula genuinely differ by country and board, so treat every age here as a wide band rather than a deadline. A child a few months "behind" one line on this page is a child, not a problem.

Why mental maths is the load-bearing wall

It is tempting to treat mental maths as a party trick — the fast kid at the whiteboard — and written methods as the real maths. It is exactly backwards.

Mental maths is the part of primary maths that must become automatic so that everything built on top of it has room to think. Long multiplication is easy for the child who knows 7 × 8 without effort, and miserable for the child who has to work it out at every step. Fractions make sense to the child who can halve and double numbers in their head. Word problems are solvable by the child whose working memory isn't fully occupied just doing the arithmetic.

When basic facts aren't automatic, every multi-step procedure costs more mental fuel than the child has. That — not intelligence, not attention — is behind most of what gets labelled "struggling," a pattern we unpack fully in why children struggle with maths.

How to read these checklists

First, what "automatic" means. A skill counts as automatic when the answer comes back in about two or three seconds, without fingers, without lip-counting, and without the child visibly rebuilding it from parts. Correct-but-slowly-assembled is a different (and better-than-it-looks) situation — we've written about the difference between slow and struggling — but for this page, the bar is instant.

Second, how the lists were built. They are distilled from our own mapping of five major systems — CBSE and ICSE (India), Cambridge Primary, IB PYP, and the US Common Core — looking for where they agree. They agree far more than the curriculum wars suggest. What follows is the shared core, placed at the grade where most systems expect it.

Third, how to use them. Don't quiz all fifteen-odd skills in one sitting, and don't announce it as a test. Fold two or three questions into an ordinary moment — the walk to school, setting the table — over a week or so. You are counting ticks, not staging an exam.

Don't ask whether your child is good at maths for their age. Ask which of these fifteen small skills are automatic — and which three aren't yet.

Grade 1 (Class 1 / Year 2): ages 6–7

The first mention deserves the full translation: Grade 1 here means Class 1 in India, Year 2 in England — the school year in which a child turns seven. From here on, we'll just say Grade.

This is the year number stops being a chant and becomes a quantity. Everything later leans on two ideas: that numbers can be broken into parts, and that you can count on from a number instead of starting again from one.

By around the end of Grade 1, these should be automatic or nearly so:

  • Number bonds to 10 — all the pairs that make 10 (7 + 3, 6 + 4), on sight
  • Counting on — solving 8 + 3 by starting at 8, not by counting from 1
  • Doubles to 10 — 3 + 3, 4 + 4, 5 + 5 known, not worked out
  • Counting forwards and backwards across 20 without stalling at the tens
  • One more, one less — instantly, for any number they can count to

If your six-year-old still counts everything from one, or uses fingers for every sum, that is developmentally ordinary at this age — fingers are a healthy stage, not a warning sign. The arc to watch is movement: counting-all should be giving way to counting-on across this year.

Try tonight: put out seven coins — pennies, ₹1 coins, centimes, whatever the sofa yields — show them briefly, hide three, and ask how many are hiding. That's number bonds, wearing a disguise.

Grade 2 (Class 2 / Year 3): ages 7–8

Grade 2 extends the same two ideas past ten. The star skill of the year is bridging through 10: solving 8 + 5 as "8 + 2 makes 10, then 3 more." A child who owns this strategy never needs to memorise the awkward crossing-ten facts individually — the strategy generates them.

By around the end of Grade 2:

  • Number bonds to 20 — including the crossings: 13 + 7, 15 + 5, 8 + 5
  • Bridging through 10 — and being able to say the strategy out loud
  • Adding and subtracting within 100 mentally, in easy cases — 34 + 20, 57 − 4, 60 + 30
  • The 2, 5 and 10 times tables — as instant facts, in and out of order
  • Doubles and near-doubles to 20 — 7 + 7, and 7 + 8 as "double 7, plus 1"

A useful check hiding inside that list: ask for the table facts out of order (7 × 5, then 3 × 2, then 9 × 10). Many children can recite a table as a song but cannot retrieve a single fact from the middle of it — and retrieval, not recitation, is what everything downstream will demand.

Try this week: shopping totals under a pound, a dollar, or a hundred rupees — "the bread is 40, the milk is 35, what will they ask us for?"

Grade 3 (Class 3 / Year 4): ages 8–9

Grade 3 is the heaviest lift in primary mental maths, and the grade where quiet gaps most often begin. This is the year multiplication facts move from "some tables" to "essentially all of them."

The convergence across systems here is striking. The US Common Core expects children to know their single-digit multiplication facts from memory by around the end of Grade 3.

India's NIPUN Bharat mission sets its foundational numeracy targets at roughly the end of Grade 3.

Different systems, different flags — same wall.

By around the end of Grade 3:

  • All times tables to 10 × 10 — retrieved, not reconstructed
  • Bridging through 10 and 100 — 97 + 6, 103 − 8, without written working
  • Doubles and halves of two-digit numbers — double 34, half of 68, half of 50
  • Adding and subtracting two-digit numbers mentally — 46 + 35, 72 − 28, by a strategy they can explain
  • Multiplying by 10 — understood as digits shifting in place value, not "adding a zero"

If the tables are the sticking point, take heart: the 1-to-10-in-order method most of us grew up with is close to the least efficient route, and there is a smarter order to learn times tables in that shrinks the mountain to a handful of genuinely new facts.

Try this week: halving the recipe, doubling the recipe — dinner for four scaled to dinner for two is Grade 3 mental maths with edible stakes.

Grade 4 (Class 4 / Year 5): ages 9–10

Grade 4 consolidates: the tables extend to 12, division facts join their multiplication twins, and place-value moves start to feel like moves rather than magic.

England has made this year concrete for its own pupils: the national curriculum expects all tables up to 12 × 12 by the end of Year 4 — the equivalent year — and since 2022 tests it nationally with an on-screen multiplication tables check.

By around the end of Grade 4:

  • Times tables to 12 × 12 — with the awkward middles (6 × 7, 7 × 8, 6 × 8) as solid as the easy edges
  • Division facts alongside — "7 × 8 is 56, so 56 ÷ 8 is 7" as a single breath
  • Multiplying and dividing by 10 and 100 — including what happens to the digits, and why
  • Estimation before calculation — 49 × 6 is "about 300" before it is exactly 294
  • Mental addition and subtraction of larger numbers in friendly cases — 3,400 + 500; 1,000 − 250

Estimation deserves a special word, because it is the most undervalued line on this page. A child who estimates first has a built-in nonsense detector for the rest of their mathematical life. A child who never estimates will one day write 34 + 28 = 512 and feel nothing.

Try this week: at the till, in any currency — "guess the total before the screen shows it." Closest guess wins nothing but glory, which turns out to be plenty.

Grade 5 (Class 5 / Year 6): ages 10–11

Grade 5 mental maths turns outward: the facts are (ideally) in place, and the year is about flexibility — moving between fractions, decimals and percentages, and chaining more than one step without dropping anything.

By around the end of Grade 5:

  • Fraction–decimal equivalents on sight — ½ = 0.5, ¼ = 0.25, ¾ = 0.75, ⅒ = 0.1
  • Percentages of easy amounts — 50%, 25%, 10% of round numbers, mentally
  • Using 10% to build others — 10% of 60 is 6, so 30% is 18, so 5% is 3
  • Multi-step mental chains — "half of 84, plus 10" held and finished in the head
  • Scaling money and measures — if one costs 12, four cost 48, in dirhams or dollars or euros alike

This is also the grade where earlier gaps stop hiding. Percentage work leans on the 10 times table and halving; fraction–decimal fluency leans on place value; multi-step chains lean on everything. A Grade 5 wobble is very often a Grade 3 fact paying a visit.

Try this week: the sale rack. "It was 40, it's 25% off — what do we pay?" Repeat in every shop until asked to stop.

Where curricula genuinely differ

The shared core above is real, but so are the differences, and they matter most to families who move between systems.

Broadly: Cambridge Primary and Common Core push mental strategies and number sense earlier and harder, delaying formal written algorithms until the number sense is in place. CBSE and ICSE formalise written algorithms sooner, so an Indian classroom may be doing column arithmetic while a Cambridge classroom is still doing it in heads and on number lines. IB PYP is the least prescriptive about when anything happens, which is either its best feature or its most nerve-racking, depending on the week.

Neither route is "ahead." They are different orderings of the same material, and children on both routes converge by the early teens. But a child who switches routes mid-journey can land in the gap between orderings — mislabelled as weak when they are merely mis-sequenced. If that is your family this year, our full comparison of CBSE, ICSE, Cambridge, IB and Common Core maths maps the differences grade by grade.

One grade behind is common; two is a signal

Now the honest framing for whatever the checklists just told you.

If your child is missing a few items from their current grade's list, welcome to the majority. Being partially into the previous grade's list is common, rarely urgent, and usually closes with a few weeks of short daily practice aimed at the specific missing items.

If most of the list from two grades back isn't automatic, that is a signal — not of anything about your child, but that a foundational layer got skipped somewhere and everything since has been built over the hole. The response is the same, just more deliberate: go backwards on purpose, fix the oldest missing skill first, and let the upper floors settle onto the repaired foundation.

One mother we heard from, in São Paulo, sat down with her Grade 3 son and this kind of checklist braced for disaster — the term report had used the word "concerning," and she had privately extended it to the whole of his mathematical future. An hour of gentle quizzing over two evenings found precisely two gaps: the 7 and 8 times tables, and bridging through 100. Everything else was solid. The relief changed the homework mood overnight. "He's behind" — unfixable, borderless, heavy — became "we have two things to fix," which fit on a sticky note on the fridge. Six weeks later the sticky note came down.

That is what a checklist is actually for. Not ranking your child against an imaginary average, but converting a fog of worry into a short, finite list of named skills — most of them already ticked.

What to do with the ones that aren't ticked

The fix for a missing mental-maths skill is mercifully boring: a few minutes of retrieval practice a day, on that specific skill, at a level where the child succeeds most of the time, until it stops being effortful. No marathon sessions, no pressure, no drama.

The only hard part is the aim — knowing which skill, at which level, on which day. That is the part CREST Champs' free daily adaptive practice does automatically: it finds the unticked boxes on exactly this kind of list, starts there rather than at the grade label, and moves the target a little every day as skills become automatic. Ten minutes a day, and the checklist quietly fills itself in.