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?
Avery : 1133  Andrea : 4412 
Leah : 1143  Madeline : 4344 
Nevaeh : 2431  Evelyn : 4312 
Maya : 2443  Mary : 1413 
Michelle : 1412  Jada : 4431 
Sara : 1232  Audrey : 2323 
Brooklyn : 2344  Vanessa : 1444 
Amanda : 1312  Ariana : 3441 
Rebecca : 1442  Caroline : 2324 
Amelia : 1232  Mariah : 1244 
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.
Topics: Starter  Logic  Puzzles
Y5/6 working hard on the @Transum starter of the day. Fabulous maths reasoning and thinking skills. We love maths! pic.twitter.com/erhZztb4Nc
— Red Hill Field PS (@redhillfield) May 27, 2016
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4234
Change Numbers: 

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.
Advanced: 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? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a student version of this activity.
Transum.org/go/?to=frustration