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Number • Place value · Getting started

Digit designers

Use 2, 4 and 7 to make two-digit numbers greater than 40. Don’t repeat a digit within a number. Find all you can.

Give it a go

Try ideas with the activity tools, draw your thinking, or explain it in words. There may be more than one useful response. This activity does not save or submit your work.

What this explores

Place value and organised enumeration. Encourage a systematic list with one tens digit at a time. A complete explanation should rule out missing possibilities, not just display a few successful numbers.

A starting nudge

Choose the tens digit first. Which of the three digits could it be?

Take it further

How would the set change if the threshold were 20 instead of 40?

For teachers

Ask students to compare strategies and explain what makes their response valid. These difficulty bands are provisional, not verified curriculum or year-level alignments.

Open the activity to create a QR code with a free teacher account. Work is not saved or sent to a teacher. Assignment integration is not available here.