UK / K11 / 01
Elementary Maths
The KS1 ground, objects and pictures first.
Open the syllabusEngland · Key Stage 1 maths · Years 1 and 2
Many parents of six and seven year olds have heard that "KS1 SATs" no longer happen, and wonder whether Year 2 maths still matters. The tests did change: since the Standards and Testing Agency made them optional, a school may or may not use them. What did not change is the national curriculum. By the end of Year 2, the Department for Education still expects children to know their number bonds to 20, to understand tens and ones, and to recall the 2, 5 and 10 times tables, and every later year of primary maths is built on those facts. This page sets out what Years 1 and 2 cover, how the optional tests work in 2027, simple games families can play at home, and how our live KS1 classes teach it.
Live teaching since 2020 · 10,000+ students · Built from the national curriculum and STA guidance for 2026 to 2027
In short
KS1 maths is the Key Stage 1 mathematics programme of the national curriculum in England, taught in Years 1 and 2 to children aged about 5 to 7. Its main aim, in the Department for Education's words, is "confidence and mental fluency with whole numbers, counting and place value", and by the end of Year 2 children should know number bonds to 20. The end of KS1 tests are now optional for schools. Modern Age Coders teaches KS1 maths live online, in a group of 15 to 20 or 1-on-1, through its Elementary Maths course, starting with objects and pictures before symbols. The first class is free, and we are not part of any school or government body.
Courses for KS1
Elementary Maths is the main KS1 course. Early Maths suits the youngest Year 1 children, and Mental Maths is for a child who is secure and wants to go faster.

K1 / 01
Its first level covers the Year 1 and Year 2 ground: numbers, place value, adding, first multiplication, shape, time and money.
Open the syllabus →
K1 / 02
Playful, concrete maths for ages 4 to 7, for a child still building counting.
Open the syllabus →
K1 / 03
Number sense and quick recall for ages 5 to 10, built on understanding.
Open the syllabus →Years 1 and 2
The national curriculum sets out what children should be taught in each year. These are the statutory expectations, summarised from the programme of study.
The Department for Education states the purpose plainly: "The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value." It sets one clear goal for the end of the stage: "By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value. An emphasis on practice at this early stage will aid fluency." Everything else in KS1 grows from those two ideas.
| Area | Year 1 | Year 2 |
|---|---|---|
| Counting and place value | Count to and across 100, forwards and backwards; read and write numbers 1 to 20 in numerals and words | Count in steps of 2, 3 and 5 from 0 and in tens from any number; tens and ones in two-digit numbers; compare with <, > and = |
| Adding and subtracting | Number bonds and subtraction facts within 20; add and subtract one-digit and two-digit numbers to 20 | Facts to 20 recalled fluently; add and subtract a two-digit number and ones, and two two-digit numbers |
| Multiplying and dividing | One-step problems with objects, pictures and arrays | Recall the 2, 5 and 10 times tables; know multiplication can be done in any order and division cannot |
| Fractions | Recognise a half and a quarter | Find one third, one quarter, two quarters and three quarters of a shape, set or quantity |
| Time | Tell the time to the hour and half past | Tell the time to five minutes; minutes in an hour and hours in a day |
| Money | Recognise coins and notes | Use the pound and pence symbols; give change |
| Shape and data | Name common 2-D and 3-D shapes; whole, half and quarter turns | Sides, edges, faces and vertices; pictograms, tally charts and block diagrams |
The curriculum's notes describe how this should feel in practice. Children should "partition numbers in different ways (for example, 23 = 20 + 3 and 23 = 10 + 13) to support subtraction", and in Year 2 they meet three quarters as "the first example of a non-unit fraction". In geometry, the notes even suggest "programming robots using instructions given in right angles", which is where early maths and early coding meet.
Source: Department for Education, Mathematics programmes of study: key stages 1 and 2, read on 31 October 2026. The table summarises the statutory requirements; the full document has more detail.
The optional tests
Not as statutory tests. The end of KS1 tests are optional, and a school decides whether to use them. The Standards and Testing Agency recommends that schools that do use them give them in May 2027.
The Standards and Testing Agency says it directly: "National curriculum tests at the end of KS1 are optional." Schools can use them "to support their own measurement of pupil attainment", and although the results can help when reporting to parents, the agency adds that "there is no requirement for schools to do so". Some things are still statutory in Year 2. In the agency's words, "the following remain statutory: the phonics screening check annual reports for parents about each pupil's general progress in year 2", along with trialling for a small number of selected schools.
| Part | What it is | Time |
|---|---|---|
| Paper 1: arithmetic | A single test paper of calculations | Approximately 20 minutes |
| Paper 2: reasoning | A single paper, with an aural practice question and 5 aural questions read aloud | Approximately 35 minutes |
| Timing | "The optional KS1 tests are not designed to be strictly timed." | Recommended during May 2027 |
| Scaled scores | 85 is the lowest scaled score; 100 to 115 means the expected standard was met | Converted from the raw score |
Your child's school may give the optional tests in May 2027, or may not. Either way, the school still reports each child's general progress in Year 2.
Ask the class teacher what the school uses to check maths at the end of Year 2, and what it shows. That conversation is more useful than any practice paper.
The agency notes that "future assessment arrangements are under review" following the Curriculum and Assessment Review, published with the government's response in November 2025.
For this school year it is clear that "Assessment arrangements for the academic year 2026 to 2027 will remain unchanged."
The agency also says something parents rarely hear: its test frameworks are written for test developers, and "Teachers should not use the test frameworks to guide teaching and learning." The curriculum is the guide. That is the approach we take: teach the Year 1 and Year 2 content well, and any test that a school chooses to use will look after itself.
Sources: Standards and Testing Agency, optional key stage 1 tests, the 2026 to 2027 guidance and the 2026 scaled scores notice; DfE, Primary assessments: future dates. Read on 31 October 2026.
At home
Five games of our own that need nothing more than a pack of cards, some coins or a clock. Each one practises a statutory KS1 skill.
| Game (ours) | What you need | What it practises |
|---|---|---|
| Make Ten | Cards 1 to 9 | Turn two cards; keep them if they make 10. Later, make 20 with three cards. Number bonds to 10 and 20. |
| Tens and Ones Shop | Ten-pence and one-penny coins | Pay for items priced up to 99p using the fewest coins. Place value, and the pence symbol. |
| Clock Detective | A real analogue clock | One player sets a time to five minutes, the other reads it aloud. Year 2 time. |
| Share Fairly | Twelve small snacks | Share them into 2, 3 and 4 equal groups and name each fraction. Halves, thirds and quarters. |
| Robot Steps | A floor and a toy | Give instructions: forward 3, quarter turn right. Position, direction and turns. |
Little and often works better than long sessions at this age. The curriculum's own advice is that "An emphasis on practice at this early stage will aid fluency", and in our experience five or ten minutes a day of a game a child enjoys does more for number bonds than a long weekend worksheet. Stop while it is still fun.
Still counting on fingers for bonds to 10 by the end of Year 1, or unsure that 23 is two tens and three ones in Year 2.
Finding it hard to tell the time to the half hour, or to say which of two numbers is bigger. These are the facts later years assume.
Recalls bonds to 20 instantly, counts in 3s, and explains why 4 × 5 and 5 × 4 give the same answer.
For a confident child, the next steps are in our KS2 maths page, and for a child who loves puzzles, first competitions for primary children.
Worked examples
Our own examples, written for a parent sitting beside a child. Each follows the curriculum's order: objects first, then pictures, then numbers.
Question (ours). 34 − 18.
With objects. Make 34 from three ten-sticks and four ones. To take away 18, we need eight ones, but there are only four, so swap one ten-stick for ten ones: now 2 tens and 14 ones.
Take away. 14 ones minus 8 ones leaves 6 ones. 2 tens minus 1 ten leaves 1 ten.
Answer. 1 ten and 6 ones is 16. This is the curriculum's idea that 34 can be seen as 20 + 14 as well as 30 + 4.
Question (ours). 8 + 5.
Picture. Draw a ten-frame with 8 dots. Two more fill it. That uses 2 of the 5, leaving 3.
Numbers. 8 + 2 = 10, then 10 + 3 = 13.
Why it matters. Bonds to 10 turn every sum up to 20 into two easy steps, which is why the curriculum wants them known by heart.
Question (ours). The minute hand points to the 7. How many minutes past the hour is it?
Count in fives. Each number on the clock is 5 minutes: 5, 10, 15, 20, 25, 30, 35.
Answer. 35 minutes past, which is 7 × 5. The curriculum links the 5 times table to "the divisions on the clock face" for exactly this reason.
Question (ours). What is three quarters of 12 strawberries?
Share. Put the 12 into 4 equal groups: 3 in each. One quarter is 3.
Three quarters. Three of the groups: 3 + 3 + 3 = 9.
Answer. 9 strawberries. Sharing first makes it clear why three quarters is more than a half (6) but less than the whole.
Practice set (ours, with answers). (1) What must be added to 13 to make 20? (2) Write 47 as tens and ones, then as 30 and something. (3) 6 × 5. (4) Half of 18. (5) Which is more, 3 tens or 28 ones? (6) A lesson starts at quarter past 2 and lasts 30 minutes; when does it end? Answers: (1) 7; (2) 4 tens and 7 ones, and 30 + 17; (3) 30; (4) 9; (5) 3 tens, because 3 tens is 30; (6) quarter to 3.
Our KS1 classes
Short, lively and practical. Young children learn number with their hands and eyes before symbols, and online lessons can do that well when they are designed for it.
A group of 15 to 20 children gives energy and a sense of playing together, and suits a child who is broadly on track.
1-on-1 suits a very young Year 1 child, a shy child, or one who needs a particular gap closed before Year 3.
Drill a six year old on test papers. The tests are optional and the agency itself says its frameworks should not guide teaching.
Claim any link with a school, the Department for Education or the Standards and Testing Agency. We are an independent online school.
Progress
Each step is something a child can show at the table, not a score.
| Step | Usually by | What it looks like |
|---|---|---|
| 1. Counting securely | Early Year 1 | Counts objects one by one, and counts on and back to 100 |
| 2. Bonds to 10 | End of Year 1 | Knows pairs that make 10 without counting, and uses them to add within 20 |
| 3. Tens and ones | Middle of Year 2 | Explains that 46 is 4 tens and 6 ones, and partitions it in other ways |
| 4. Bonds to 20 and three tables | End of Year 2 | Recalls bonds to 20 and the 2, 5 and 10 times tables |
Once bonds to 10 are known, adding and subtracting stop being counting exercises.
Children who enjoy giving instructions may like our KS2 coding lessons in a year or two.
Year 3 brings the 3, 4 and 8 tables and written methods. They rest on step four.
Lessons pause in school holidays if families prefer.
Catalogue
Maths first, with a few making and thinking courses for children who want more.
UK / K11 / 01
The KS1 ground, objects and pictures first.
Open the syllabusUK / K11 / 02
Counting and shape through play, ages 4 to 7.
Open the syllabusUK / K11 / 03
Quick number facts that rest on understanding.
Open the syllabusUK / K12 / 01
Place value made visible on the beads.
Open the syllabusUK / K12 / 02
Patterns, puzzles and step-by-step thinking.
Open the syllabusUK / K12 / 03
For later: the Year 6 course these years build towards.
Open the syllabusUK / K13 / 01
Block coding, a natural partner to KS1 turns and directions.
Open the syllabusUK / K13 / 02
Simple games for children ready to read instructions.
Open the syllabusUK / K13 / 03
First apps with blocks, for older KS1 children.
Open the syllabusLessons
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Our teachers are in India and every time we offer is in UK time, with short sessions for young children.
After school
A short session before tea.
Early evening
For families with later pick-ups.
Weekend morning
When young children are freshest.
Counters, coins and clocks by the screen, so children move real objects.
Objects, then pictures, then number sentences, as the programme of study describes.
Lessons sized for a five to seven year old's attention, with games built in.
A short note after each block of lessons on what has been learned.
One playful class to meet the teacher, with no payment.
A group of 15 to 20 children, or one child with their own teacher.
Student work
Simple projects from ordinary classes, none of them assessed. Student labs shows more.

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A chatbot that answers mathematics and programming questions, built and deployed by a student.

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Web app
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Fees
A free first class, then a monthly fee that is lower for a group place and higher for 1-on-1. We bill only once a course and a weekly time are agreed, and there is no contract.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
What families say
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KS1 questions
The national curriculum expects number bonds to 20, a precise understanding of tens and ones, and recall of the 2, 5 and 10 times tables. Children should also tell the time to five minutes and find simple fractions such as three quarters.
The end of KS1 tests are optional. Schools can choose to use them, and the Standards and Testing Agency recommends May 2027 for those that do.
Two papers: arithmetic, about 20 minutes, and reasoning, about 35 minutes, including five questions read aloud. The agency says the tests are not designed to be strictly timed.
The lowest scaled score is 85. A score between 100 and 115 means the child met the expected standard on that test.
We would not drill them. The tests are optional, and the agency itself says its frameworks should not guide teaching. Games and steady practice of the curriculum facts help far more.
Simple card and coin games work well: making 10 or 20 from playing cards, paying for things with ten-pence and penny coins, and reading a real clock to five minutes. Five or ten minutes a day is plenty.
It can be, when lessons are short, practical and designed for young children. We ask families to keep counters and coins by the screen so the child handles real objects.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. All times are UK time.
Usually Elementary Maths. For a child still building counting, Early Maths Foundations comes first; the free first class helps decide.
No. We are an independent online school, separate from schools, the Department for Education and the Standards and Testing Agency.
More primary help
What comes after KS1, and how primary maths is checked in England.
Years 3 to 6, from times tables to fractions.
The June check that follows the 2, 5 and 10 tables.
The Year 6 tests, paper by paper.
Puzzles for children who love maths.
A natural next step for young problem solvers.
Our UK hub, maths and coding.
Part of the guide: UK maths year by year, Reception to Year 11
More guides: UK maths exam boards and specification codes · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils
Start here
Leave a number and we will call at a UK time that suits. The first class is playful: a few number games to see where your child is with counting and bonds.
Prefer to read first? The Elementary Maths course sets out its levels, and how we teach describes a typical class.
WhatsApp us · +91 91233 66161 · connect@modernagecoders.com
WhatsApp is the easiest way to reach us and is free from a UK mobile. Our team in India replies from a +91 number.
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