Render 2024 Digitful

2024

1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
+
+
+
+
+
+
+
+
-
-
-
-
-
-
-
-

Can you find an expression for 2024
which uses all the digits 1 to 9?

If you can't, how close to 2024 can you get?

 

 

................................................................................................. = 2024

Can you make last year (2023) or next year (2025) ?

[Teacher: The numbers and operations above can be dragged into different positions to help with this challenge]

A Mathematics Lesson Starter Of The Day


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

  • Nathan Falconer, Larbert High School
  •  
  • 98x7x3+5(4+6)-2+1
  • Rebecca Moon, Gilberd School
  •  
  • 1987+6+3+4+2+5=2007
  • Emma Fessey, Bourke Walgett School Of Distance Education
  •  
  • With Todays problem, I found Another answer,
    1978+ 5x6 +4 -3 -2
    Emma
    Year five
    B.W.S.O.D.E.
  • Oliver Richards, Lloyd Street School
  •  
  • 2008: 9x6x8x5-142-7-3
  • Kate and Catherine, Fulneck School
  •  
  • Solution to 2007

    1987 + 26 -5 -4 + 3 = 2007!
  • Garry Campbell, Lochend Community High School
  •  
  • 98 x 21 - 54 + 3 + 6 - 7 = 2006
  • Amy Blake and Lauren Hill, St Philomena's School
  •  
  • 1987+6+4+2+3+5 = 2007

    984 x 2 + 36 + (7-5+1) = 2007
  • Wills Goulding, Bridgewater School Berkhamsted
  •  
  • 2007 = 924 x 3 - 751 - 6 - 8
  • Eva and Lauren , Richard Coates MIDDLE School, Northumberland
  •  
  • 1968 + 32 = 2000
    + 7 = 2007
    + 4 = 2011
    - 5 = 2006
  • Class 9L3 (Mrs Ward), Prestatyn High School, Princes Avenue, Prestatyn, Denbighshire LL19 8RS
  •  
  • 2007 = 9x8x7x4-(5x2)+(6/3-1)

    We did it another way but we had to use a division. Hope you like it!

    Class 9L3 Prestatyn High School (Mrs Ward's class) - James did most of it and we helped him at the end. If you like it, you could always send us some chocolate!
  • Peter Kane, British International School Jakarta
  •  
  • 1985 +3+7+4+6+2=2007
  • Shai Simpson, Lydd Primary School
  •  
  • 1987+56-34-2=2007
  • Niall Gordon, Lydd Primary School
  •  
  • (8x9)x7=504
    (504x4)+1+3-5-6-2
  • Holly Flood, Lydd Primary School
  •  
  • (8x9)x3
    216x5)x2-146-7
  • Emily Green , Bridgewater School Berkhamsted
  •  
  • 2007 = 87 x 23 + 56 - 49 - 1
  • 8YGW, Ysgol Dyffryn Taf
  •  
  • Solution to the total of 2007 is:

    9*4*56+2*3-7*1
  • Shea Durrant Year 9, Methwold High School Norfolk
  •  
  • 9x8x7x4+3-6-5-2+1=2007
  • Andrew Harris Year 9, Methwold High School Norfolk
  •  
  • (213x9)+ (8x7)+(5x6)+4 =2007
  • Annabel Vaile (8A), St Philomena's School
  •  
  • I've got one for each year!

    (4 + 6) x 5 x (1 + 9) x (7 - 3) + (8 - 2) = 2006

    (8 + 2) x (4 + 6) x (1 + 9) x (5 - 3) + 7 = 2007

    (1 + 9) x (4 + 6) x (7 + 3) x 2 + 8 = 2008 [sorry I didn't use 5]
  • Ben Hughes, Bridgewater
  •  
  • 1987+3+4+6+2+5=2007
  • Reuben Frankel, Bridgewater
  •  
  • 987+3+6+4x2+5+1=2006
  • Amy Simon & Mallery Elkins, Bournemouth School For Girls 8P
  •  
  • 9 x 8 x 7 x 4 - 5 + 3 - 6 + 1 - 2 = 2007
  • Emma Kirby and Helena Keep, BSG
  •  
  • 5 x 2 x 3 x 67 - 8 + 9 - 4 x 1
  • Sean Wong , Beacon Community College, Crowborough, Sussex
  •  
  • 1987+23+6-5-4=2007
  • Claudia Lavis, Beacon Community College, Crowborough, Sussex
  •  
  • 675x3-9-8+2+1-4=2007
  •  

  • 2vz, Stromness Academy
  •  
  • 2008:
    9x8x7x4=2016

    2016+5=2021

    2021-6=2015 2x3=6

    2015-6=2009

    2009-1=2008
  • Dan Lockey, King Arthur's School
  •  
  • To get 2008

    (5x4)((7+6-3)(8+2))+(9-1)
  • David Adams, John Paul Academy
  •  
  • 9*8*7*4-3*2-1-6+5
  • Kirsty Miller, Airdrie Academy
  •  
  • 25 x 9 x 7 + 431 + 8 - 6
  • Matt Lloyd, New Zealand
  •  
  • 51x39 +2+6+7+8-4=2008
  • Ross Roberton, Marten and DJ, NIST, Bangkok, Thailand
  •  
  • (8*9*7*4)-(3*5)+6+2-1 = 2008

    We did it using single digits and won some M&M's!
  • Sam Conway, St Peters
  •  
  • 987*2+34+6-5-1
  • Lewis Elliott, Hawarden High School
  •  
  • 1987+34-6-5-2
  • Owen Mazzarella, Ysgol Rhiwabon, Wrexham
  •  
  • 1985 + (7x3) - 6 + (4x2) = 2008
  • Class 9S1, Sandbach High School
  •  
  • 1987+2x3+4+5+6=2008
    1987+2+3+4+5+6=2007
  • Alisha and Katie Year 6, Farsley Farfield Primary School
  •  
  • (231x9) - (7x8) - (4+5+6) = 2008

    (245x8) + 63 -9 -7 +1 = 2008
  • Rebekah and Raj, Farsley Farfield Primary School
  •  
  • 9x8x7x4-6-5-1+3+2 = 2009
  • Aaron taylor, John Spendluffe Technology College
  •  
  • 2134-56-79+8=2007
  • Alex Bradford, Dronfield Henry Fanshawe School
  •  
  • 45x 23 +978 -6 +1
  • Robert Dunn, Mounts Bay School, Penzance
  •  
  • 9x8x7x4-3x2-6-1+5
    Did this while the rest of my class were at the Royal Cornwall Show
  • Miss Buxton, Hilden Grange, Tunbridge
  •  
  • (98x21)-56+7-4+3

    Solved by one of my Year 4 pupils
  • Oliver Lee-Aimes, Hilden Grange, Tonbridge
  •  
  • (659x3)+12+8+7-4
  • Kayla, Doveton North Primary School, Melbourne, Australia
  •  
  • 1976+28+3-4+5=2008
  • Coen, Doveton North Primary School, Melbourne, Australia
  •  
  • 6x98x4-352+1+7=2008
  • Max Easton, Miss Boggs
  •  
  • Solution for 2008
    34 x 56 + 98 + 7 -2 +1
  • Maths Department, Dartford Technology College
  •  
  • 9x8x7x4+5-(6+3+2+1)
  • Annabel Storr, Sir James Smiths School, Cornwall.
  •  
  • 2143-68-75+9= 2009
  • Hethersett Junior, HJS
  •  
  • (2 x 8) + 5 - 1 = 20
    (6 + 4) x (7 + 3) = 100
    20 x 100 = 2000 + 9 = 2009.
  • Megan S, Hethersett Junior School
  •  
  • 8 x 9=72 x 7 = 504 x 4 = 2016 - 6 = 2010 - 1 = 2009 + 3 = 2012 + 2 = 2014 - 5 = 2009.
  • 902 Maths Students, Bridgnorth High School
  •  
  • 9x 8 x7 x4 -6 -5 +3 + 2 -1 = 2009 (Conor Campbell)
    (9+1)x 8 x 5 x(2+3)+ 6 +7 -4 = 2009 (Tom Hatton)
    Submitted by year 9 students at Bridgnorth High School.
  •  

  • Class 7F, Beverley Grammar School
  •  
  • We found three answers for 2009
    ( 987+16-3 )* 2 + 5 + 4
    98 * 21 - 56 + 7 * ( 4 -3 )
    218 * 9 + 45 + ( 6 - 7 ) + 3.
  • Emma, Essex
  •  
  • 2008=2138-64-57-9.
  • James Challinor, Llanidloes High School
  •  
  • 9x8x4x7-6-5+3+2-1.
  • Thomas Davies, Llanidloes High School
  •  
  • 9x8x7x4-5x3+6+2x1.
  • Andrew Robinson, Llanidloes High School
  •  
  • 1986+27-5+4-3.
  • Ann-marie Birnie, Peterhead
  •  
  • It took me 30 minutes to do this.
  • R Godfrey, All Saints School
  •  
  • (6 + 4) x 5 x 2 x (3-1) + 9 - 8 + 7 = 2008
    (6 + 4) x 5 x 2 x (3-1) + 9 - 7 + 8 = 2010.
  • Jodie Campbell, Lochend Community High School in Glasgow
  •  
  • Jodie got 2008 as follows:
    987 x 2 + 35 - 6 + 4 + 1 = 2008.
  • Ross Malloy, Habsboys
  •  
  • (9 x 8 x 7 x 4) - (6 + 1) + 5 - (3 + 2) = 2009
    Solved in seconds!!
  • Saaleha Ilyas, 7L2
  •  
  • I found the answer but I did not use the number 5.Hear it is anyway:
    2009=96*8+7+1234
    I did use a calculator.
  • Drew Redmond, Warrington
  •  
  • Hi there,
    My solution is ( 9 x 8 x 7 x 4 ) - 6 - 1 - 5 + 2 + 3 = 2009.
  • Lewis Murphy, 5a Our Lady Of The Missions Primary
  •  
  • 12x34x5-9-8-7-6 = 2010.
  • Mrs O'Hagan, 2nd Yr Holyrood School Glasgow
  •  
  • Aaron got 2010 =9x8x7x4-6x1+5-3-2
    from Danni 2009=1978+34-2+5-6
    2011=1978+34-2+6-5.
  • Danielle Butler, Year 8 Santa Maria College
  •  
  • 974x3-861-52=2009.
  • Kailei McCrea, Year 8 Santa Maria College
  •  
  • 98x21-43-6-5+7=2011.
  • Chris, Derby
  •  
  • (6 x (4 + 7) + 1) x 3 x 2 x 5 x (9-8) = 2010.
  • Jodie, Brighton
  •  
  • Next year 2011-- 9x8x7x4-5-6+1+2+3.
  • Omar Al-kamil, Manchester Grammar School Year 7
  •  
  • 4+(2*3)+((8*5)*((6*7)+9-1))
    to make it simpler
    4+6+40*(42+8)
    to make it even simpler
    4+6+(40*50)
    10+2000.
  • Grant Giblin, John Port School
  •  
  • To find 2009
    1978+6*5+2+3-4.
  • Holly Robinson, John Port School
  •  
  • To find 2009
    9*8*7*4+3+2-6-5-1.
  • Holly Robinson, John Port School
  •  
  • To find 2010
    12*34*5-6-7-8-9.
  • Laura, John Port School
  •  
  • To find 2011
    9*8*7*4-6-5+3+2+1.
  • Luke C & Miss Harrison, Cranborne Middle School
  •  
  • 9 x 8 - 7 + 4 + 2 - 1 - 3 x 6 x 5 =2 010.
  • Heather Melgram, Farsley Farfield Primary School
  •  
  • Heather found:
    8x9=72
    72x7=504
    504x4=2016
    2016-5=2011
    2011-6=2005
    2005+3=2008
    2008+2=2010
    2010x1=2010.
  • Set 2, DCPS
  •  
  • ((9+6)-(1+4))+8*25*(7+3) = 2010.
  •  

  • Mr Smith, Renfrew High School
  •  
  • ((9x8-(1+4))x2x3x5)/(7-6).
  • John Oliver 8J, Chamberlayne School, S'ton
  •  
  • 98x21 2058
    -43 2015
    -5 2010
    x(7-6) 2010.
  • 9W1, Myton
  •  
  • 12 x 34 x 5 - 6 - 7 - 8 - 9.
  • Laurence, Prince William School
  •  
  • 985x2+36+7-4+1.
  • Mr Tanner's Year 9 Boys, Shenfield High School
  •  
  • 98x21-(43+5)(7-6).
  • Abdi Mohamed, Greenford High School
  •  
  • I found out another way to work 2010 using only 1,2,3,4,5,6,7,8 and 9
    9x8x7x4+6-5-3x2-1.
  • Rebecca Ryder,
  •  
  • 1x2x3+4x5x6x7-89=2011.
  • Leia Owens, 7MG Belvedere Academy Liverpool
  •  
  • 2010 = (931*2) + 87 + 65 - 4.
  • Huish Academy, 8H1
  •  
  • We found 4 more solutions for 2011. Here they are:
    987 x 2 + 5 x 6 + 4 + 3 x 1 = 2011
    85 x 23 + 7 x 6 + 9 + 4 + 1 = 2011
    7 x 4 x 9 x 8 - 5 + 6 - 1 - 2 - 3 = 2011
    57 x 36 - 9 x 4 - 8 + 2 + 1 = 2011.
  • Miss Kent;'s 9BCH1 Set, Verulam School. St Albans
  •  
  • 9 x 8 x 7 x 4 - 5 - 6 +3 +2 +1 = 2011.
  • Max Hickey, Goldington Academy, Bedford
  •  
  • 1234+856-79= 2011.
  • Mr Jones, Llwyncrwn Primary School, Beddau, South Wales
  •  
  • Tyler did it this way:
    987x2+46-3-5-1=2011.
  • Maths Set 2, Sherborne Primary
  •  
  • 987*2=1974+65=2039-31=2008+4=2012.
  • Speedwell, Launde
  •  
  • 987x2=1974
    1974+34=2008
    2008+1=2009
    2009+4=2013
    2013-6=2007
    2007+5=2012.
  • 8 Clever Set 3, Chellaston Academy, Derby
  •  
  • 2011 = 987x2+6-4+35x1
    2011 = 345x6-(8x9)+(7x2)-1
    2011 = (987+1+4+6)x2+(3x5).
  • Speedwell 2, Launde
  •  
  • 1978+34=2012
    2012-2=2010
    2010+6=2016
    2016-5=2011.
  • Hannah, SNHS
  •  
  • 9x8x7x4+6-5-3-2-1.
  • Joshua, SNHS
  •  
  • (67+89+12)x3x4-5.
  • Mr Jones, Llwyncrwn Primary School, Beddau, South Wales
  •  
  • Nathan did it this way:
    978x2+46+3+5+1=2011.
  • Andrew Combe, Carolside Primary School
  •  
  • 9x8x7x4-1-2-3+6-5.
  • Ella Sturley, Wollaston School Year 7
  •  
  • 1963+48+7-(5+2) = 2011.
  • Joe Edwards, Wollaston School Year 7
  •  
  • 1978+(5x6) + 4-3+2.
  • Gemma Goodchild, Grainville School, Jersey
  •  
  • 8X9X7X4-5+6-3-2-1 = 2011.
  • Gina Humzy, Ridgehaven Primay School
  •  
  • 12x34x5-8-9-7-6=2010.
  • BrendieRANGA, Ridgehaven PS
  •  
  • 12x34x5-6-7-8-9=2010.
  • Connor Lewis, Fitzwimarc School, Rayleigh, Essex
  •  
  • 1256+789-34=2011.
  • Shannon, Year 6 St Barnabas CE Primary
  •  
  • (4x5)x(1+9)x(2+8)+(7+3)=2010.
  • Mason Futcher, Binegar Primary School
  •  
  • Mason, from Binegar Primary School, managed to find this solution for 2011:
    978 x 2 + 64 - 5 - 3 - 1.
  • Yen Tsang, Gosforth Central, Newcastle Upon Tyne
  •  
  • Yen, Yr6, Gosforth Central Middle, came up with this solution:
    9x8x7x4+5+1-6-3-2=2011.
  • Mr. Jackson's Year 7 Class, Esher C Of E High School Surrey UK
  •  
  • Here are 4 more ways to make 2011
    From Hannah: 9x7x8x4-5+2+1-3=2011
    From Caitlin: 98x21-43-6+7-5=2011
    From Saman: 12x9x6x4-573-8=2011
    From Alec: 9x8x7x4-6+5-3-2+1=2011.
  • James Healey, Richard Lander School
  •  
  • Extra Solutions
    2011 = 9x8x7x4+5-6-3-2+1
    987x2+3x6+4x5-1
    9x8x7x4+5-6x2+3-1
  • Kealeigh Haines, Millais
  •  
  • 98x7=686 686x3=2058 2058-45=2013 2013-2=2011 2011.
  • Fasiha, Chorlton
  •  
  • 671 x 3 = 2013.
  • 7s6, Kettlethorpe High School
  •  
  • 2012 = 54 x 37 + 9 + 8 + 2 + 1 - 6.
  • Rawiri, The Oracle
  •  
  • 1897+63+54-2=2012.
  • Jessica T, St Marks Drummoyne
  •  
  • 973 x 2 + 65 + 1.
  • Isla Bigwood, Clover Hill SS
  •  
  • 2X987+36+5+1-4 = 2012.
  • Year 8 Set 1, Bridgewater Middle School
  •  
  • 1987 + 24 + 3 - 6 + 5
    96 x 21 - 3 + 5 - 4 + 7 - 8.
  • Hiam, Syria
  •  
  • My answer is : 951+2 x 3-6-748=2013.
  • Josh Walsh, Brumby Junior School
  •  
  • 2013=9x8x7x4-5-2+3+1.
  • John, Australia
  •  
  • 358 + 1679 - 24.
  • Guy Daniel, Aston And Cote CE Primary School
  •  
  • 9x8x7x4-6+5-3-1+2=2013.
  • Oliver And Jaydan, Kettlethorpe 7K3
  •  
  • 231 x 9 -68 + 5 + 4 - 7 = 2013.
  • Aberam And Ethan, Brumby Junior School
  •  
  • Aberam=9x8x7x4+5+2-6-1-3
    Ethan=9x8x7x4-6+5-3-1+2.
  • Conall, 6S
  •  
  • Conall from Ranby found NEXT YEAR
    124 x 3 x 8 - 967 + 5 = 2014.
  • Olly And Cole, Ranby
  •  
  • Cole and Olly found 2013
    96 x 21 - 3 + 7 - 8 - 4 + 5 = 2013.
  • Year 10 Girls, New Hall School
  •  
  • (8x7x9x4-2-1)x(6-5)=2013.
  • James V,
  •  
  • (987x2)+(5x4)+(6x3)+1.
  • Sarah,
  •  
  • (1+9)x(3+7)x(6+4)x2+(8+5) = 2013.
  • Year 8, New Hall
  •  
  • 21x96-7+5+4-8+3=2013 (Rose and Lily)
    978x2+64-5-3+1=2013 (Elizabeth)
    89x23-45+17-6=2013 (Sinead).
  • Year 8, New Hall
  •  
  • 9x8x7x4+5-6+2-3-1=2013 (Sophia).
  • Miss Brown, 5e RCMS
  •  
  • 5e Ponteland found:
    7+3= 10 4+6= 10 10 x 10 = 100
    100x2= 200 9+1= 10 10x200 = 2000
    8+5= 13 2000+13 = 2013.
  • Asta,
  •  
  • Here is another solution which a student in my class found.

    41 X 52 - 89 + 7 - 36 = 2014
  • Jshan Kumar, Hazelwick School
  •  
  • Another Solution is
    85*7*4-369+2+1.
  • Krishan Nayee, Hazelwick School
  •  
  • Our class found the solution
    85x7x4-369+2+1.
  • Tommy Jackson, Yr 7 IVC
  •  
  • 2014=1985+37-6-4+2.
  • Matthew Cawley, Ysgol Bro Gwydir
  •  
  • Dosbarth Conwy, Ysgol Bro Gwydir. Matthew Cawley a'i ffrindiau!!!
    9x4 = 36
    8 x 7 = 56
    36 x 56 = 2016
    6-5 = 1
    2-1 = 1
    3-1 = 2
    2016-2 x 1 = 2014
    Is there a prize???

    [Transum: Sorry Matthew, no prize but lots of congratulations!]
  • Aqib Mehmood, Erdington Hall Primary School
  •  
  • 9 x 8 = 72
    72 x 7 = 504
    504 x 4 = 2016
    2016 - 2 = 2014
    2014 + 6 = 2020
    2020 - 3 = 2017
    2017 - 5 = 2012
    2012 + 1 = 2013.
  • Alex Lee, North London Collegiate School JeJu, Y6
  •  
  • 1987+3x5+2+6+4=2014.
  • G Gray 5GR Maths Class, Dulwich College Shanghai
  •  
  • Our solution:
    23x87=2001
    2001+9=2010
    2010+6=2016
    2016-5=2011
    2011+4=2015
    2015-1=2014
    used all the digits once.
  • Joseph Nussey, Brookfield Primary Langwith Junction
  •  
  • 9x7x8=504x2=1008x(5-3)=2016-(6-4)=2014x1
    In my head I felt that I needed 1007 x2.......
  • Euan M And Mark, Greenfield Primary School Oldham
  •  
  • 8x7x6x3x2-5-1+4.
  • Euan M And Mark, Greenfield Primary School Oldham
  •  
  • Another one from us: 9x8x7x4-(5x3)+(6x2)+1.
  • Sam, Heather And James H, Greenfield Primary School Oldham
  •  
  • Here's another solution!!!
    85x24-7-3-9-6-1=2014.
  • Hannah And Abigail, Greenfield Primary School Oldham
  •  
  • We did it!!!
    963x2+5+87-4x1 = 2014.
  • Iydan And Euan D, Greenfield Primary School Oldham
  •  
  • We found a few by rearranging the numbers, here's one of our solutions!!!
    9x6x8x5-142-7+3=2014.
  • Nimus, Korea
  •  
  • 2015!!!
    1987+2*5+3*4+6.
  • Tom Moore, Scalby School, Scarborough
  •  
  • My solution is 69 x 28 + 73 + 5 + 4 + 1.
  • Y9 Kraken, Geoje, South Korea
  •  
  • Sthita got: 198 x 7 = 1386
    5 - 4 = 1
    1386 + 632 = 2018
    2018 - 1 = 2017
    Harrison got: 1 + 9 = 10, 3 + 7 = 10, 4 x 5 = 20
    10 x 10 = 100
    10 x 20 = 2000
    8 + 2 = 10 + 6 = 16
    2000 + 16 = 2016.
  • Y8 Phoenix Class, ISK, Geoje, South Korea
  •  
  • Yogisha found 2017:
    9 x 8 = 72
    72 x 7 = 504
    504 x 4 = 2016
    2016 + 1 + 2 + 6 = 2025
    2025 - 3 - 5 = 2017
    Mathilde got 2018:
    2139 - (4 x 5 x 6)+ 7 - 8.
  • Raul Balo, Dewsbury
  •  
  • 6×7×8×9÷3×2+5-4×1.
  • Dan Logan, Titus Salt School
  •  
  • 9x8x7x4+6-5+3-2-1=2017
    Dan Logan got this. Nobody else could. Even Wilson.
  • 5B, The International School Bangalore
  •  
  • We found 3 solutions:
    1. 2018 = (9x8)x7)x4)-5)+6)-2)+3)x1 by Joseph
    2. 2018 = 8x1x5x9x3-74x2+6 by Lakshmi
    3. 2018 = 1987+(34-(6-5)-2 by Jaewon.
  • T.J.H, Museum High
  •  
  • Spoilers ahead!
    1 sol for 2023 is: 289*7+41-36-5.

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.

Previous Day | This starter is for 6 June | Next Day

 

Answers



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 link. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.

Educational Technology on Amazon

 

Online Maths Shop

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=June6

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=expression

Student Activity

 


Apple

©1997-2024 WWW.TRANSUM.ORG