Two Numbers

Find two numbers whose sum is 5 and product is 6.

Add Multiply

Find two numbers whose sum is 14 and product is 48.

Add Multiply

Find two numbers whose sum is 20.5 and product is 97.5.

Add Multiply

A Mathematics Lesson Starter Of The Day


Topics: Starter | Arithmetic | Number | Simultaneous Equations

  • Mr Jankowski, Haydock Sports College
  • Very nice as it can be used to lead into factorising quadratics.
  • Matt Robey, Brighton Hill School
  • This was really easy. I got the last one on the first guess!
  • Chris And Phillip, Swansea
  • The first question is really easy and can be spotted quite quickly.
    The third question always has to be an even number multiplied by a number ending in 0.5
  • Mr Spanion, Ejs
  • I thought it was brilliant.
  • Mr M Shepherd, St Lawrence Academy, Scunthorpe
  • Easiest way to solve these we found was to double the "sum" number. This means that both the two original numbers have doubled so we need to multiply the product number by 4. This gave us all whole numbers to deal with. Once solved, half both the numbers.
    (Prime factor breakdown is the best way to look at combinations systematically if needed to, although most of year 8 relied on trial and error to find the abswer once they'd found the whole numbers).
  • Transum,
  • This one of those starters that is generated with random numbers. Each time you load this page a new set of numbers appear in the statements above. You can use it many times over the course of the year so that your pupils are reminded of the techniques and have regular practice applying them.

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This starter has scored a mean of 2.9 out of 5 based on 484 votes.

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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.

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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

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Student Activity



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