Pentadd

The numbers on blue shapes are the sums of the two hidden numbers on red circles at the ends of the lines. What are the hidden numbers?

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Arithmetic | Problem Solving | Puzzles | Simultaneous Equations

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  • This is a nice lesson starter activity. It could be a matter of ‘trial and improvement’ or, for the more able, solved by naming the hidden numbers a, b, c, d and e then setting up ten simultaneous equations corresponding to the ten sums given. The button to reveal the answers can be found lower down this page along with a button to change the numbers used in this starter. Please let us all know how you get on with this activity.

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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This starter has scored a mean of 3.0 out of 5 based on 109 votes.


Previous Day | This starter is for 21 January | Next Day

 

Answers

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.

Extension Puzzle

How difficult would the Pentadd puzzle be without the diagram? Imagine five numbers, randomly chosen, are added together in pairs to produce the following ten sums in no particular order. Can you figure out what those five numbers were?

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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=January21

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

Transum.org/go/?to=pentadd

Student Activity



Extension Answers

Apple

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