The teacher thinks of a four digit number made up of digits in the range 1 to 4. Each student guesses what the four digit number might be. The teacher gives one tick for each digit the student has in the right place. What number is the teacher thinking of?
|Andrew : 1224||Daniel : 2132|
|Christopher : 3232||Joseph : 2232|
|William : 1411||David : 3421|
|Nicholas : 1213||James : 4333|
|John : 1311||Jonathan : 4211|
|Samuel : 3321||Christian : 2334|
|Noah : 3233||Dylan : 2411|
|Benjamin : 2213||Logan : 4322|
|Zachary : 3421||Jose : 4134|
|Elijah : 1311||Angel : 2423|
Note for Teacher: All of the students guesses above will probably not fit on the screen at the same time. You may wish to keep the lower guesses hidden so as not to make the activity too easy.
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Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click a button above to regenerate another version of this starter from random numbers. There is a choice of three levels; easy, medium and hard.
Finding a unique solution may not be possible.
Possible strategy: Make a grid showing the possible digits which could appear in each of the four positions. By looking at the clues which do not have any ticks by them, cross of the digits which can't appear in each position.
There should now be only a limited choice for the correct digits:
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:
However it would be better to assign one of the student interactive activities below.
Here is the URL which will take them to a related student activity.