49, 48, 21, 50, 2, 45, 40,
53, 15, 17, 1, 14, 63, 13,
3, 51, 52, 25, 16, 20, 44.
Most of the numbers in the list above can be added to another number in the list to give a sum of 65. Which numbers do not have a partner?
Topics: Starter  Arithmetic  Mental Methods  Number
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Previous Day  This starter is for 30 August  Next Day
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 the button above to regenerate another version of this starter from random numbers.
Note that you can click on a number to partially hide it. Click it again to show it. This is useful to eliminate all of the pairs to leave only the numbers with no partner showing. The pupil version of this activity is even more interactive. The link is lower down this page.
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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: Transum.org/go/?Start=August30 However it would be better to assign one of the student interactive activities below. 

Here is the URL which will take them to a student version of this activity.