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?
Zoe : 2433  Paige : 3344 
Gabriella : 1424  Jenna : 1323 
Kimberly : 1443  Stephanie : 4312 
Alexa : 3431  Avery : 3443 
Andrea : 4121  Leah : 1141 
Madeline : 3434  Nevaeh : 1414 
Evelyn : 3133  Maya : 3222 
Mary : 1231  Michelle : 4313 
Jada : 3242  Sara : 1213 
Audrey : 1113  Brooklyn : 3223 
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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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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1442
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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