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?
Trinity : 3133  Lillian : 1431 
Mackenzie : 1311  Faith : 2424 
Sofia : 3313  Riley : 1142 
Haley : 4344  Gabrielle : 4232 
Nicole : 1432  Kylie : 2221 
Katelyn : 4314  Zoe : 2433 
Paige : 3212  Gabriella : 1422 
Jenna : 4442  Kimberly : 2234 
Stephanie : 3342  Alexa : 1212 
Avery : 3411  Andrea : 4241 
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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2331
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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