Math skills by age: counting, number sense and the Singapore maths approach, with home activities from toddler to Primary 2

Math skills by age build slowly, and Singapore's own targets are gentler than many parents expect. By the end of K2, at about 6, MOE's preschool goals are to count by rote to at least 20, count up to 10 objects reliably, and know that 5 can be made of 2 and 3. Adding within 100, money and telling the time come in Primary 1, and times tables of 2, 3, 4, 5 and 10 wait until Primary 2. Before that, maths is talk and play, like saying "more" at snack time or counting the stairs. Below is an age-by-age table with a five-minute home activity for each stage, how Singapore maths teaches with objects, pictures and the bar model, and what support schools give.

Math skills by age, from toddler to Primary 2

The early-years rows come from the US Centers for Disease Control and Prevention and NAEYC, which describe what most children do by each age, alongside SingHealth's milestones. From 6, the targets are MOE's own: its Nurturing Early Learners (NEL) goals for the end of K2, and the December 2023 edition of the 2021 primary mathematics syllabus. MOE has since listed an October 2025 edition on its syllabus page.

Every child moves at their own pace, and the CDC defines a milestone as something 75% or more of children can do by that age. If counting is still shaky at 5, keep it playful; if you're worried about development more broadly, check the milestones in your child's Health Booklet and talk to your doctor. Our baby milestones guide covers the earlier months.

Building number sense at home

Number sense means understanding what numbers stand for, which reciting from 1 to 20 doesn't show. MOE's NEL goals put it in concrete terms: knowing that 10 sweets are still 10 when you spread them out, and that 5 can be made of 2 and 3, or 1 and 4. You can practise both in daily life:

• Count real things, touching each one, rather than reciting numbers in the air.
• Spread out a handful of coins and ask, "Are there more now?" Then bunch them up and ask again.
• Play "how many are hiding?": put 5 beans under two cups, show one cup, and let your child work out the other.
• Use maths words in passing: bigger, shorter, heavier, first, last, between, behind.
• Cook together; measuring cups and splitting a pizza into halves and quarters teach fractions before the word.
• Play board games with dice, which make children count on from where they are.

For more home ideas by age and skill, see our guide to learning activities for preschoolers.

The Singapore maths approach: objects, pictures, then symbols

Singapore teaches maths in three stages, which MOE's NEL portal calls the Concrete-Pictorial-Abstract approach. Canossa Catholic Primary School describes them as the doing, seeing and symbolic stages:

The bar model, which MOE calls the model method, is taught from Primary 1. A National Institute of Education paper describes three basic models: part-whole, comparison and change. A child who has spent K2 splitting real beans into parts finds the part-whole bar natural. If you help with P1 homework, ask your child to show you the bar they drew before you reach for the answer.

If your child finds maths hard

Primary schools screen children for Learning Support for Mathematics at the start of Primary 1; Punggol Green Primary School, for example, describes this screening on its website. MOE says P1 and P2 children in the programme get 4 to 8 periods a week in small groups of up to 8. If your child is picked, treat it as extra help that comes early.

• Ask the teacher which topic is the sticking point, and whether to go back to objects for a while.
• Keep home practice short, around ten minutes, and stop while it's still fun.
• Skip times-table drills before P2 and worksheets before your child can count real objects.
• If maths is one of several areas of concern, mention it to your doctor.

If you're weighing up classes, our guide to maths enrichment in Singapore compares the options and what they cost.

Frequently asked questions

What math skills should a 5-year-old have?

The CDC says most children count to 10 and name some numbers between 1 and 5 by age 5. MOE's goals for the end of K2, at about 6, are counting to 20 and counting 10 objects reliably.

When do children learn times tables in Singapore?

In Primary 2. MOE's 2021 syllabus puts the times tables of 2, 3, 4, 5 and 10 in P2; P1 covers multiplying within 40 using objects and pictures.

What is the Singapore maths method?

Children learn with real objects first, then pictures such as the bar model, then written numbers. MOE's preschool portal calls it the Concrete-Pictorial-Abstract approach, and the bar model starts in P1.

What maths does a child learn in Primary 1?

Numbers up to 100, adding and subtracting within 100, simple multiplication and division, money up to $100, time to 5 minutes, length in centimetres and picture graphs.

How can I teach maths to my preschooler at home?

Count real things, cook and measure together, play dice games and use words like more, less, first and last. Keep it to a few minutes of play a day.