Arrange the digits 1 to 6 on the circles to make the statement correct:

A Mathematics Lesson Starter Of The Day

Clue 1 Clue 2 Clue 3 Level 2 Level 3


Topics: Starter | Arithmetic | Problem Solving

  • Ruth, AHS
  • V.good
  • Emmanuel, MMU
  • Excellent starter however I have found it difficult for the year groups 7 and 8
  • Room 1, Marotiri School
  • Hi, we also discovered that the answer of 126 divided by 42 also equals 3!!!!!!
  • Random, Random School Random Park Lane
  • 126 divided by 42 = 3 would not work as you used 2 twice and never used 5.
  • Transum,
  • Following on from yesterday's Starter about estimation, here's a puzzle that benefits from the ability to estimates possible solutions before checking them exactly. A different type of estimation, agreed, but the same basic thought processes. After discussing strategies for solving the puzzle above scroll down the page so students have an opportunity to put those strategies to work.
  • Ermine Primary Academy, England
  • Coby and Kai in Class 10 got the answer by doing the inverse. Well Done.
  • Mrs Edward, Dundee, Scotland
  • Class 3M1 from Harris Academy in Dundee came up with 162 ÷ 54 = 3.
  • Jumeirah Year 6, Twitter

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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.


Here is the URL which will take them to a self-checking version of Digivide.


Student Activity










Is it possible to arrange the digits 3 to 8 on the circles to make the statement correct?

The puzzle above is impossible but it will take a good mathematician to prove it is so!

The extension task is to get as close as possible to a correct statement. What is the minimum amount of error you can achieve (you will first need to define how you measure error).


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