Framed Numbers

The total number of ones in this frame is ... The total number of twos in this frame is ... The total number of threes in this frame is ... The total number of fours in this frame is ... The total number of fives in this frame is ...

one

two

three

four

five

one

one

one

one

one

two

two

two

two

three

three

three

four

four

five

🏆 CORRECT 🏆

💥 TRY AGAIN 💥

That's not the solution required.

Figure out which numbers will complete the sentences in the frame correctly

All the numbers needed are here:               Drag them into the sentences above.

However there are more draggable numbers than needed so don't use them all.

A Mathematics Lesson Starter Of The Day


Topics: Starter | Problem Solving | Puzzles

  • Transum,
  •  
  • This puzzle is the Transum version of those known as self-referential sentence puzzles or sometimes a self-descriptive sentences.

    The origins of these kinds of puzzles are not definitively attributed to a single person, but they have been popularized by recreational mathematicians over the years. One of the earliest mentions of such self-referential puzzles can be found in works by American mathematician and logician Raymond Smullyan, known for his books on logic puzzles, paradoxes, and self-reference.

    Another key figure associated with self-referential puzzles is Douglas Hofstadter, an American professor of cognitive science, who explored self-reference and paradoxes in his influential book Gödel, Escher, Bach: An Eternal Golden Braid (1979).

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
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Previous Day | This starter is for 24 August | Next Day

 

Answers

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Clue

So you're students are finding it too difficult? Click the button below to take away the distractors so that you will only be left with the five solutions which need to be placed correctly.

Extension

Consider a frame containing only the first four sentences. There are two different solutions to that problem, can you find them both?

Is it possible to find a solution to a frame that contains six such sentences?



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Online Maths Shop

Laptops In Lessons

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=August24

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a related student activity.

Transum.org/go/?Num=425

Student Activity

 


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