What Are They?

1. The product of two odd numbers is 153.

What are they?

2. The difference between two square numbers is 8.

What are they?

3. The sum of three prime numbers is 31.

What are they?

4. The ratio of two even numbers is 7:4.

What are they?

A Mathematics Lesson Starter Of The Day


Topics: Starter | Arithmetic | Number | Puzzles | Ratio

  • C. J. Southward, Limehouse Cumbria
  •  
  • In the product question the solutions do not include the double negative
    solutions.
  • Transum,
  •  
  • Thanks CJ. That has now been allowed for in the answers below.
  • 6N, Charnwood Primary School
  •  
  • We really enjoyed this and some of us thought it was easy - However we haven't tried the hard numbers yet!
  • Ms Robyn, ABCIS In Vietnam
  •  
  • This was fun, the harder numbers made us think! We were very pleased that some of us managed to get the product answer to the 'hard' level without a calculator.

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 4 June | Next Day

 

Answers

1. 1 and 153 or 3 and 51 or 9 and 17 (and their negatives).

2. 1 and 9. Could there be any other solutions?

3. 3, 5 and 23 or 3, 11 and 17 or 5, 7 and 19 or 5, 13 and 13 or 7, 7 and 17 or 7, 11 and 13.

4. 14 and 8 or 28 and 16 or 42 and 24 or ...

 

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 below to regenerate another version of this starter from random numbers.

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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=June4

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/?to=what

Student Activity

 


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