Counting to 20 and Back
Counting to 20 and Back is the skill of reciting the number names in order from 0 (or 1) to 20 and back again, starting from any given number in that range, and of finding one more or one less than a number without recounting from the start.
Method
- Start with real objects the child can touch and move, not numbers on a page: count out loud while moving one object at a time from one pile to another, so each number name is tied to one and only one object. Errors here - saying two numbers while moving one object, or one number while moving two - are the single biggest source of wrong counts at this age.
- Once forwards counting from 1 is solid, practise counting on from a random starting point (e.g. 'start at 8 and keep going'), since children rely on the rhythm of starting at 1 and can lose the sequence if asked to jump in partway.
- Introduce a physical number line or number track (0 to 20, evenly spaced) as the picture stage: point to each number as you say it, then let the child point and say it themselves, moving finger left to right.
- Teach backwards counting as a separate, deliberate skill rather than assuming it follows automatically from forwards counting: walk a finger backwards along the same number line, saying each number, and expect this to need far more repetition than forwards counting did.
- Practise 'one more' and 'one less' as a shortcut once the sequence is secure: one more than a number is the next number said when counting forwards; one less is the next number said when counting backwards. Avoid letting the child recount from 1 every time - the goal is to answer instantly by knowing where the number sits.
- Watch the teen numbers closely in both directions: children commonly say numbers in the wrong order around 13 to 15 and 17 to 19. Slow down and use the number line as a check whenever a teen number is involved.
- Move to the abstract stage only once the child can count on and back fluently from at least three different starting points without pointing at anything: now ask 'one more than 14' or 'one less than 20' with no number line in sight.
Worked example
Start at 17 and count backwards to 12. What are the numbers?
- Say the starting number first: 17.
- Count back one number at a time: 17, 16, 15.
- Keep going one at a time, watching the teen numbers carefully: 15, 14, 13.
- Stop at 12, since that is where we were asked to stop.
- The full backward count is 17, 16, 15, 14, 13, 12.
Practice questions
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Q1Count forwards from 11 to 16. Write all the numbers.Show answer
Answer: 11, 12, 13, 14, 15, 16
Q2Count backwards from 20 to 15. Write all the numbers.Show answer
Answer: 20, 19, 18, 17, 16, 15
Q3What number is one more than 14?Show answer
Answer: 15
Q4What number is one less than 18?Show answer
Answer: 17
Q5Priya counted backwards and said: 9, 8, 7, ?, 5. What number is missing?Show answer
Answer: 6
Q6Write the number that comes straight after 16 when counting forwards.Show answer
Answer: 17
Q7Write the number that comes straight before 13 when counting forwards.Show answer
Answer: 12
Q8Idris is counting backwards from 20. He says 20, 19, 18, 17. If he carries on for 3 more numbers, what is the last number he says?Show answer
Answer: 14 (20, 19, 18, 17, 16, 15, 14)
Exam-style questions
Written in the style of a KS1 Maths exam paper, with a full mark scheme.
Osei is counting backwards from 19. Write the next 4 numbers he will say.
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Nadia is playing a counting game. She starts at 12 and counts forwards 5 numbers. Then she counts backwards 3 numbers from where she stopped. What number does she finish on?
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Fill in the missing numbers when counting backwards: 20, ?, 18, ?, 16, 15.
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Free printable worksheet
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