How do I know if my child has really memorized a times table?

Knowing whether a fact is memorized or calculated isn't always obvious — children can produce correct answers either way. The difference matters, though, because only one of those is reliable under test conditions.

What the research says

Brain research on automaticity — the state where a times table fact is genuinely memorized rather than calculated — suggests that true recall happens within approximately 1 second. Anything slower involves some degree of calculation or reconstruction.

Dehaene & Cohen’s work on verbal memory retrieval supports this: automatic recall of a verbal memory (including times table facts) happens without conscious processing. The subjective experience is “I just know it” rather than “I worked it out.”

What this means in practice

Speed is the honest test. A child who takes 3 seconds to produce the right answer knows how to work it out — but hasn’t memorized it. Both are valuable, but only one will hold up under time pressure.

Try this

• Ask a random fact and watch the response. Under a second: memorized. 1–3 seconds: nearly there. More than 3 seconds: still calculating.
• Don’t test in sequence — sequential recitation can mask the absence of individual fact recall.
• Use this test periodically on “learned” tables. Recall that has faded will show up as slower responses.

Last reviewed: 2026-08-01