Pyramid Puzzle

A Maths Starter Of The Day

Put the numbers 1 to 5 in the bottom row of this pyramid. They can be arranged in any order. The numbers in the other bricks are found by adding the two bricks immediately below together. What arrangement of the numbers in the bottom row gives the largest total in the top brick of the pyramid?

A pyramid puzzle worksheet is available here


Topics: Starter | Algebra | Arithmetic | Number | Problem Solving

  • Claire Erving, Clapham
  • Wednesday, January 17, 2007
  • "Loved this starter - worked for a wide range of ages and abilities. I also extended it by getting the pupils to multiply - though you do get an answer in millions!"
  • Sue Johnson,
  • Thursday, January 18, 2007
  • "Excellent preparation for Yr 7 equation work See Badger Starters and Constructing Linear Equations pack"
  • class 5 6 a, St Catherines
  • Tuesday, January 08, 2008
  • "A really fun way to start the day!"
  • Simon Sandys, Northwood College
  • Monday, January 26, 2009
  • "My students showed me that the logical way to get the highest score is to put 5 in the middle so that you are maximising the highest number and 1 and 2 on the sides so that you are minimising their effects. The opposite, of course, to find the lowest number."
  • Matthew, 3D, Craigslea State School
  • Friday, January 04, 2013
  • "The biggest number I found was 61. The order of the base numbers(1-5)was 1,4,5,3,2."
  • Teacher Paul, Dublin Ireland
  • Friday, January 18, 2013
  • "My Year 5 class loved this starter..Worked great together in small groups.."
  • Neve - Year 6, Charnwood Primary Lichfield
  • Monday, January 20, 2014
  • "A good starter as it got my brain working!"

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This starter has scored a mean of 4.0 out of 5 based on 212 votes.


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Answers

The largest possible total is 61

The smallest possible total is 35


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=January4

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

Transum.org/go/?to=Pyramid

 

 




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