Two Numbers

Find two numbers whose sum is 14 and product is 45.

Add Multiply

Find two numbers whose sum is 34 and product is 208.

Add Multiply

Find two numbers whose sum is 23.5 and product is 133.

Add Multiply

A Mathematics Lesson Starter Of The Day


Share

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
    chow.
  • 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.

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.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.0 out of 5 based on 477 votes.


Previous Day | This starter is for 3 December | 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.



Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

 

Texas Instruments Nspire Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

Apple iPad Pro

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.

Online Maths Shop

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=December3

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

Transum.org/go/?to=Consecutive

Student Activity

 


Apple

©1997-2020 WWW.TRANSUM.ORG