Number Play: common misconceptions

If your child says… “Only 10 can be a supercell.”

Ask together

Which numbers sit immediately beside 8?

What’s true

A supercell needs to exceed its immediate neighbours, wherever larger numbers appear elsewhere.

If your child says… “The next tick always adds one.”

Ask together

Would adding one across each gap take us from 20 to 60?

What’s true

The labelled values and equal gaps determine the increase between ticks.

If your child says… “A palindrome needs every digit to be the same.”

Ask together

What changes when you read 101 backwards?

What’s true

Only positions equally far from either end need matching digits.

If your child says… “I can leave out the zeros.”

Ask together

Where did each zero from 1002 go in the first subtraction?

What’s true

Keep four digit positions throughout, starting with at least two different digits.

If your child says… “Reusing these groups lets me make any total.”

Ask together

Which allowed group could leave a chickpea without a partner?

What’s true

Adding groups made entirely of pairs can produce only even totals.

If your child says… “It worked here, so we’ve proved it always works.”

Ask together

Which starting number did we follow in this diagram?

What’s true

Checking examples cannot establish the claim for every positive starting number.

If your child says… “An estimate is just any guess.”

Ask together

What counted amount supports your estimate?

What’s true

A useful estimate rests on a counted amount and a sensible assumption.

If your child says… “Adding three every time will make me win.”

Ask together

If the opponent adds three after 17, how many remain?

What’s true

The winning reply depends on the opponent’s addition, so each pair of turns adds four.