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.
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 4.0 out of 5 based on 89 votes.
One answer is 61
but there are more!
61 is the lowest common multiple of 2, 3, 4 and 5 plus 1
Teacher, do your students have
access to computers?
Here is the URL for a concise version of this page without comments or answers.
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.