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A Maths Starter Of The Day

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Target

1632

8

1

1

17

12

Use each of the numbers only once with any mathematical operations to make an expression equal to the target.

If you can't make the target exactly, how close can you get to it?

Flash Version

 


Topics: Starter | Arithmetic | Mental Methods

  • Mike Moon, Royds School Leeds
  • Sunday, November 02, 2008
  • "I got 173 from 8 x 11 + 5 x 16 + 5"
  • Hardip Sahota, Ernesford Grange, Coventry
  • Wednesday, November 26, 2008
  • "I did 15 x 14 = 210 then subtract 3 = 207"
  • The Best Class Ever (8cd/m2), King Alfred's College OXON
  • Monday, November 02, 2009
  • "This starter was a nice one to start with for our class. We had two attempts at this one, because somebody shouted out the first answer within 2 seconds(James!!!!!!!!!)
    The sums we had were 49 (which was easy) and 262 (which took longer to do).
    It was a good starter."
  • Chloe Tovell,
  • Monday, November 09, 2009
  • "I got 226 (one out) by
    8x7=56 then
    16+18x5=170 finally
    56+170=226.
    i really liked this starter of the day and would like to see more like this!"
  • Ember, Huddersfield
  • Tuesday, November 17, 2009
  • "I had 1008. Numnbers were 1 4 1 18 14. Gives good practice on estimation.20 x 10 x 4 is 1000 take it from there. Finally got there with 18 x 14 x 4 + 1 - 1. It was the last bit that was perplexing. 'Can you do that? questions."
  • 9-5 King's Grove, Crewe
  • Thursday, November 25, 2010
  • "We found this easier to work backwards. We took the 2 away to work with 390 and when from there. 17+8 = 25 +1 = 26 x 15 = 390 +2 = 392."
  • Jericho And Suheera, East Sheen Primary
  • Wednesday, November 02, 2011
  • "Answer for 336
    16x18=288
    3x8 = 24
    24 x 2 = 48
    288 + 48 = 336."
  • STEVE EASTOP, MARGATE, KENT.
  • Saturday, November 03, 2012
  • "TARGET: 1573
    NUMBER SELECTION: 2,4,7,13,13
    SOLUTION:
    (13-2) X (7+4) X (13) = 11 X 11 X 13 = 1573!
    I happened to notice at the start that the target figure was indeed divisible by 13 (121 times). It was easy then to get the two 11s needed from the remaining four numbers to multiply by one another to get the 121 necessary to then multiply the other 13 in the five numbers by to get the target!"

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This starter has scored a mean of 3.7 out of 5 based on 165 votes.


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Answers

One possible solution is

8 x 1 x 1 x 17 x 12 = 1632

Are there any others?

What strategies did you use?

Did you use your head, paper or a calculator?

Or did you use all three?

Could a computer help solve this problem?

Would you improve if you practised solving problems like this?

How could a group of students efficiently work together on a problem like this?

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.


Laptops In Lessons

Teacher, do your students have access to computers?
Do they have Laptops in Lessons or iPads?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here is the URL for a concise version of this page without comments or answers.

Transum.org/go/?Start=November2

Here is the URL which will take them to a student version of this activity.

Transum.org/go/?to=Expression

 

 




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