

When they danced as couples there was one person left over.
When they danced in threes one person was left over.
When they danced in fours one person was left over.
When they danced in fives one person was left over.

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Previous Day | This starter is for 28 January | Next Day
One answer is 61
but there are more!
61 is the lowest common multiple of 2, 3, 4 and 5 plus 1
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Teacher, do your students have
access to computers? |
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Here is the URL for a concise version of this page without comments or answers.
Transum.org/go/?Start=January28
Students could use a spreadsheet to create a list of possible numbers of people at the dance. Columns could be set up to show the remainder after dividing by 2 or 3 etc. The MOD function could be used for this:
Eg =MOD(A7,4) shows the remainder when the number in cell A7 is divided by 4.
What if the problem was changed? What if the group sizes were 3,5,7 and 8?
Here is the URL which will take them to a student number patterns activity.
Transum.org/go/?to=Satisfaction