Cracked Clock

A clock broke into two pieces.
The numbers on each of the pieces add up to the same total.

Clock

Draw a diagram to show how the clock cracked.

 

 

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Keywords: Starter | Arithmetic | Problem Solving

  • Ruth Seward, Hagley Park Sports College
  • Tuesday, May 02, 2006
  • "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"
  • Y8 set 1 Rawthorpe High School, The Cushtie Krew
  • Thursday, May 24, 2007
  • "We think that this was very good. We liked the clock, in fact we thought it was a cracking starter!
    Maths rules, Cushtie!"
  • Sue, St Albans
  • Thursday, May 24, 2007
  • "The question can be extended to 'the clock is broken into three pieces with equal sum of 26 -- piece one contains numbers 11, 12, 1, and 2; piece two contains 3, 4, 9, & 10; the rest is piece three'.
    Equally, it can be broken into 6 pieces with an equal sum of 13 -- piece one has 12 and 1; piece two has 2 and 11; piece three 3 and 10."
  • Russ Skinner, Winnipeg, MB
  • Thursday, May 24, 2007
  • "This problem also works by breaking the clock into 3 pieces and 6 pieces. The sum of all the numbers around the clock (1 + 2 + 3...10 + 11 + 12) equals 78. 78 is divisible by 3 and 6. "
  • The Best Class Ever (8cd/m2), King Alfred's College OXON
  • Monday, May 24, 2010
  • "We decided that this starter was not explained enough to work it out, so we tried both ways we could thing of and then realised that they were both the same answer.Tash, Ryan and Liam worked this out straight away with others not far behind them."

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  • Kieran, Weston
  • Wednesday, May 25, 2011
  • "I found this easy to understand, and once I found pairs of 13 it was easy."

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This starter has scored a mean of 3.8 out of 5 based on 56 votes.

 

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Answer

Cracked Clock
Computer Teacher, do your students have access to computers?
Do you have "Laptops in Lessons"?

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

Laptop

Here is the URL which will take them to a concise version of this page.

Transum.org/go/?Start=May24

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

www.transum.org/go/?to=Cracked