Key takeaways
- Number bonds, doubles, halves and facts within 20 are the foundation of all arithmetic.
- There is a clear progression: counting all → counting on → deriving → instant recall. Move children along it.
- Teach flexible strategies (bridging through ten, near-doubles) as well as memory.
- Bonds to 10 are the single most useful set of facts in primary maths.
- Little-and-often retrieval practice turns effortful counting into automatic recall.
What we mean by 'number facts'
Number bonds are pairs that make a target. The bonds to 10, 9+1, 8+2, 7+3, 6+4, 5+5, are the most useful facts in primary maths, and bonds to 20 and 100 follow the same shape. Add doubles and halves, and a child has flexible routes into almost any calculation: 8 + 7 becomes "double 7, add 1"; 15 − 8 leans on the bond that makes 15.
Recall beats counting, but counting is a stage, not a sin
Children travel a well-evidenced path: from counting all (counting both sets from one), to counting on (starting from the larger number), to deriving facts from known ones, to instant recall. Fingers aren't failure, they're an early rung. The job is to keep climbing. A child still counting to find 6 + 3 in Year 3 will struggle with column addition, because by then the facts need to be automatic.
Say the strategy aloud as you model it: "I'll make ten first." Hearing the reasoning is what helps a child internalise it.
Strategies worth teaching explicitly
Fluency is memory and flexible strategy. Three pay off enormously: bridging through ten (8 + 5 → 8 + 2 + 3), near-doubles (7 + 8 = double 7, plus 1), and round-and-adjust (19 + 6 → 20 + 6 − 1). Teaching these gives a child a fall-back when recall fails and deepens their sense of how numbers relate.
Worked example, bridging through ten
To add 8 + 5 without counting, bridge through ten: 8 needs 2 to reach 10, and 5 is 2 + 3, so 8 + 2 = 10, then 10 + 3 = 13. Making the ten first turns an awkward fact into two easy ones, and it's exactly how confident mental calculators actually think.
Secure number facts are the strongest predictor of later arithmetic success, they free the mind to reason rather than calculate.
When children learn this, a Year-by-Year guide
Roughly where each idea sits in the England primary maths curriculum. Every child is different, use it as a map, not a deadline.
| Stage | What children work on |
|---|---|
| Reception (age 4–5) | Count reliably; begin to see number bonds within 10 with objects. |
| Year 1 (age 5–6) | Know number bonds to 10; add and subtract within 20. |
| Year 2 (age 6–7) | Recall bonds to 20 fluently; derive bonds to 100; know doubles and halves. |
| Year 3–4 (ages 7–9) | Use rapid recall for mental addition and subtraction with larger numbers. |
Which fact to practise, by age
| Age / stage | Priority facts | Game mode |
|---|---|---|
| 5–6 (Year 1) | Bonds to 10, doubles to 10 | Number Bonds, Doubles (Easy) |
| 6–7 (Year 2) | Bonds to 20, halves, add/subtract within 20 | Number Bonds, Halves |
| 7–9 (Years 3–4) | Bonds to 100, rapid mixed recall | Addition, Subtraction (Medium) |
How to move your child from counting to recall
A gentle routine that respects the stages while building speed.
- Check the current stage, are they counting all, counting on, or deriving?
- Secure the bonds to 10 first; they unlock the most other facts.
- Teach one strategy at a time (bridging, then near-doubles).
- Practise in short daily bursts with mixed questions.
- Use a no-timer mode for anxious learners, then add gentle timing.
Troubleshooting
| Problem | What to try |
|---|---|
| They still count on fingers in Year 3 | Fingers are fine as a stage. Add short retrieval practice and celebrate speed gains; don't ban fingers, outgrow them. |
| They know bonds to 10 but not to 20 | Show the pattern: 7 + 3 = 10 means 17 + 3 = 20. Bonds to 20 are bonds to 10 in disguise. |
| Subtraction lags behind addition | Teach subtraction as a missing addend, 15 − 8 asks "8 plus what makes 15?", so it leans on known bonds. |
Free printable: Number Bonds Practice Sheet
A branded, print-ready worksheet to practise offline.
Frequently asked questions
What are number bonds?
Number bonds are pairs of numbers that add up to a target, for example the bonds to 10 are 0+10, 1+9, 2+8, 3+7, 4+6 and 5+5. Bonds to 10, 20 and 100 are among the most useful facts in primary maths.
Why is quick recall of number facts important?
Instant recall frees up working memory. A child who has to count out 6 + 7 every time has little capacity left for the harder thinking in a problem, whereas a child who just knows it can focus on reasoning.
How do I move my child from counting to recall?
Keep counting as a valid stage, but add short, frequent retrieval practice and teach mental strategies like bridging through ten and near-doubles. Over a few weeks, effortful counting becomes automatic recall.