All For 100

Can you construct an expression for 100 which uses all the digits 1 to 9?

1

2

3

4

5

6

7

8

9

Shelf

Drag all of the numbers and some of the symbols
onto the shelf to create a calculation for 100.

A Mathematics Lesson Starter Of The Day


Topics: Starter | Arithmetic | Place Value | Problem Solving | Puzzles

  • Jake, Patana
  •  
  • I have found * + * + * + * + * + * + * + * x * = * * *
  • Lewis Crosby, Doncaster
  •  
  • I have found one too * * * - * * - * * + * - * = * * *
  • Sarah, Maidenhead
  •  
  • Another solution for this is * * + * * - * - * + * - * - * = * * *
  • Katrina, Maidenhead
  •  
  • I have got found another solution for this starter =
    * x * x * + * - * + * + * - * + *
  • Holly, Whitby High, Ellesmere Port
  •  
  • Another Solution: ( * x * )+( * x * )+( * x * )+ * + * + * = * * *
  • Reece & Ashlee, Ellesmere Port
  •  
  • Two more solutions without brackets from Whitby High:

    * * * - * - * - * - * + * - * = * * *

    * * + * * + * + * - * - * - * = * * *
  • James Wellington-Smith, Lea Moor High
  •  
  • * * * -( * x * )-( * x * )- * - *
  • Mr Heeley's Krew, Rawthorpe in da Hudd of field
  •  
  • We found ( * + * + * + * ) x * + ( * + * ) - ( * + * ).

    We think that this is the best answer because simplicity is the key!

    Cushtie - please, please, please, please, please put us on the site.

    God bless you - Maths rocks
  • Year 6, BIS Jakarta
  •  
  • We found many solutions including
    * * * * * + * + * + * + * + * - * = * * *
    * * * + * + * + * + * + * + * + * = * * *
    * * * + * * * - * * * + * + * + * = * * *
  • Year 11- Mr Kelly's class, Cross and Passion College
  •  
  • We found another solution for ALL FOR * * *

    * * + * - * + * - * + * - * - * = * * *
  • Giovanni Fernandez, The British School of Quito, Ecuador
  •  
  • * x ( * x * x * - * * * ) + * + *
  • Tim Channer, The British School of Quito, Ecuador
  •  
  • ( * x * ) + ( * x * ) - ( * x * ) + ( * x * x * )
  • Montae, Mrs. Shelburne's Period 3/6 class, Hayward Middle School, Springfield, Ohio
  •  
  • Here is Montae's solution...he found it in less than * minutes and creatively used exponents!

    * ^ * x * - * + * + * - * + * - *
  • Ashleigh Reid, S2 Lochend Community High School
  •  
  • I found this way of getting the answer:

    * * + * + * - * + * - * + * - *
  • Ciaran Donegan, Harrytown High School, Stockport, 8H
  •  
  • I found ( * * + * + * ) x * - * - * + * - *
  • Mrs Simpson, Torry Academy, Aberdeen
  •  
  • * D * Maths Class at Torry Acadmey found this way:

    * * + * + * - * +( * * * )- * + *
  • Andy Rowe, Knowles Hill School Devon
  •  
  • Cameron Houdmont in Year * got this one

    ( * + * ) x * + * + * + * + * - * - *
  • Ms Winters, Dubai English Speaking College
  •  
  • Here are our answers from class * DE...

    * x * + * + * + * + * + * + * + *

    * x * x * + * * + * +( * - * )- *

    * x * + * + * + * x * -( * x * - * )
  • Miss Train, Saints Peter and Paul
  •  
  • The first to get it in my class was Emma M in under * * seconds - here's her solution:
    [( * + * + * + * ) x * ] + * + * + * - * = * * *
  • Jodie, Lauren, Hayley, Harrytown High School Stockport
  •  
  • * * * + * * - * * + * - * Jodie Reilly * T
    * * - * - * + * + * + * + * + * Lauren Hill * W
    ( * + * + * + * + * )x * - * + * + * Hayley Ryder * H
  • Jack Houghton, Sydney, Australia
  •  
  • I got * * * + * * - * * + * - *
  • Martin Vaughn, Central Sussex college haywards heath
  •  
  • * x * + * + * + * + * + * + * + * = * * *
  • Jonathan, Holland Road
  •  
  • the answer is
    * * + * * + * * - * + * - *
  • Miss Mian, Bishop Ramsey School, Ruislip
  •  
  • Daniela got the total by doing
    * * + * * + * * - * + * - *

    and Amy got it by doing

    ( * x * ) + * + * + * + * + * + * + *
  • Josh Atkin, Dunbar Grammar
  •  
  • The answer is
    ( * * - * ) + * - * + * - * + * + * = * * *
  •  

  • Mark Daniels, Wissahickon Middle School
  •  
  • Nicole from Mr. Daniels' Pre-Alg. Support class,WMS, Ambler,PA did this-
    * ( * + * + * ) + * ( * + * + * + * )

    Mr. Daniels offered this-
    * ^ * + ( * x * - * ) + * * -( * + * )
  • Mrs Simpson and class 4M4, Torry Academy, Aberdeen
  •  
  • Vincent found * * * - * * * - * - * x *
    Emma found * x * x * - * + * + * - * + * - *
    Shelby found * x * + * * + * + * - * + * x *
    Jasmine found * x * +( * x * )- * - * - * - * + *
  • Liam Hutchison, Lochend Community High School in Glasgow
  •  
  • I calculated it this way

    ( * x * ) + * + * + ( * x * ) + ( * x * ) + *
  • Ellen Moore, KNGS, Birmingham,UK
  •  
  • This works!
    ( * + * )-( * + * )+( * + * )+( * + * )* * = * * *
  • Miss Samantha Rhodes, Filsham Valley school, Hastings
  •  
  • In * class, I had * different correct solutions.
    * x * + * * + * - * * + * + * = * * * (Charlotte Avery, year * )
    * x * * + * * - * * - * + * = * * * (Sam Davies, year * )
    * x * x * + * x * +( * - * + * )x * = * * * (Sophie Fairall, year * )
    * x * + * + * + * + * + * + * + * = * * * (Charlotte Rudd, year * )
    * * * - * * + * * - * - * = * * * (James Bisson, year * )
  • Mr Jordan Fry, Laurence Jackson School, Guisbrough
  •  
  • We got * * * = * * , * * + * = * * , * * * * = * * * , * * * - * = * * , * * + * = * * * , * * * - * = * * , * * + * = * * *
  • Emma, Lockerbie Academy
  •  
  • * * + * * + * - * - * + * - * - * = * * *
  • Soumya, Croydon
  •  
  • * + * x * + * + * + * + * + * - * = * * * .
  • Form 7Y, Harrytown Catholic High School, Stockport
  •  
  • Amy Booth found * x * + * + * + * + * + * + * + * = * * *
    James Wilson ( * x * ) + * + * + * + ( * x * ) - ( * X * ) = * * * .
  • Miss Marcham And 10f1, Prince Henry's High School, Evesham
  •  
  • We got ( * + * )x( * + * - * + * - * - * )x * = * * * .
  • Mrs J A Thompson, Mexborough School Specialist Science College
  •  
  • Two different answers were found in * * minutes. * P SPECTRUM group
    The first was * + * + * + * + * + * + * + ( * x * ) = * * * by Ashley Finney
    and ( * + * + * ) x * + * + ( * x * )- ( * x * ) = * * * by Emma Rodgers.
  • Mitchel, Brocket
  •  
  • Another way of doing it is
    * - * = * , * - * = * , * - * = * , * - * = * , then
    * + * + * + * = * * x * = * * * .
  • Y Ramsamy, Phoenix College, Reading, UK
  •  
  • My pupils came up with the following solutions:
    ( * * * - * - * - * - * - * )+ * = * * * Ryan Walsh
    ( * x * x * x * )+ * + * + * + * + * = * * * Moin Khan
    Y Ramsamy
    Phoenix College, Reading, UK
  • Jerry & Tom, Fukien School (HK)
  •  
  • ( * + * x * x * )x * - * * * + * + * = * * * .
  • Thomas, Cabrach
  •  
  • This wasn't easy but I found
    * x * + * +( * x * )- * + * + * - * = * * * .
  • Grade 12 Advanced Functions, Port Hope High School, Ontario, Canada
  •  
  • Connor found * x * x * - * - * - * - * + * + *
    Brandon found * * x * - * - * - * + * + * - *
    Brandon found * x * + * + * + * + * + * + * + * .
  • Mrs Barnett & 8x1, Bredon Hill Middle School, Evesham
  •  
  • Our simplest answer was ( * x * )+ * + * + * + * + * + * + * = * * * .
  • Greg Patko Yr8, Murray Park, Derby
  •  
  • ( * + * ) x * - * x * + * x * + * - *
    ( * + * + * + * + * + * - * - * ) x * .
  • Mike Drewniak, Kewaskum Middle School
  •  
  • Dinara found: * * + * * - * * - * - * + * .
  • Beacon Community College, Crowborough, 8XMa3
  •  
  • ( * + * )x * + * + * + * + * + * - * = * * * .
  • David Clowes, St Peter's Academy
  •  
  • I got * x * x * - * x * - * - * + * - * .
  • Max, Hethersett Junior
  •  
  • * * x * + * * + * - * + * - * = * * * .
  • 9 (the Better Half) 1, Chellaston Academy, Derbyshire
  •  
  • Anneli and Molly: * ( * + * )+ * + * + * + * +( * - * )
    May: * ( * x * - * - * + * - * - * + * )
    Rhys: * x * + * x * + * + * x * + * x *
    David: * ( * * * - * * * )+ * + *
    Eve: * x * + * * + * - * - * - * - *
    Ashley: * x * + * + * + * + * x * - * x * .
  • 7ax1, Alexandra Park School, London
  •  
  • Susie, Vinesha and Tommy : * x * + * + * + * + * + * + * + * = * * *
    Semi ( * + * + * + * + * ) x * + ( * + * ) - * = * * *
    Kira and Simon * * * - * * * + * + * + * = * * *
    Ben * * + * + * + * + * - * - * - * = * * *
    Seb * * * - * * - * * + * * = * * *
    Lottie * x * x * - ( * x * ) - ( * x * ) - * + * = * * *
    Peter ( * + * + * ) x * - * - * - * + * x * = * * * .
  • Australia Class, Cottam, Preston, England
  •  
  • Our class found * ways to solve this puzzle:
    * x * = * * +( * x * )= * * +( * + * )= * * * - * = * * + * x * = * * *
    The next idea is: * + * = * * X * = * * + * = * * + * = * * * + * = * * * + * = * * * - * = * * * - * = * * * .
  •  

  • RM, UK
  •  
  • I have found: * x * x * + * x * + * x * + * + * = * * * .
  • Abi T, St Peter's Y6 Maths Group
  •  
  • ( * x * )x * + * + * + ( * x * )- ( * + * ).
  • Miss Brook, Crick Primary School
  •  
  • William - Year * - * x * = * * + * x * - * - * - + * + * x *
    Ethan - Year * - * x * x * - * - * - * - * - * x * .
  • Taeh, Croydon
  •  
  • I found out that you can do * x * which equals * * and then you add * + * + * + * + * + * + * = * * then * * and * * equals * * * .
  • Sophie Tune, Kingswinford England
  •  
  • I got * + * + * + * + * x * ( * * * )- * + * - * .
  • Matthew Zhao, 4AD, Craigslea State School
  •  
  • Matthew Zhao here, coming with with a personal answer in two minutes!
    * * * * + * + * + * + * - * - * = * * * .
    (P.S. I'm in Grade Four).
  • Mr Macready, Jersey
  •  
  • Sarah here in Jersey Year * . * came up with ( * * + * )+( * x * )- * * - * - *
    Some of the others came up with answers like * * . * , which aren't * * * last time I checked!
  • Gurdev Rayet, Holyheadschool
  •  
  • I found * x * + * + * + * + * + * + * + * which makes * * * .
  • Mr. Van, Sweden
  •  
  • We did it!
  • Shaa, India
  •  
  • It's really cool, do you want to see more?

    _ _ +_ _+_ _ = _ _+ _= * * *

    Fill in the blanks with the numbers from * to * without repeating.
  • , Myrtleford
  •  
  • I have managed to find a way of getting so many firstly you two numbers to be a ninety type number aka * and * then you add to make * * * so in this case * then you the rest of the numbers to add and subtract what you have added on so now it's * * + * + * - * - * + * - * - * making countless ways of doing it!!

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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=October6

Here is the link which will take them to a student version of this activity with different levels for which they can earn Transum Trophies!

Transum.org/go/?to=Centex

Student Activity

 

 

Extension Activity

Use the digits zero to nine to make the first ten digits (one at a time!)


 

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