Stage3-Brainwave7


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Problems
Problems for Stages 2 & 3 are posted here for the first three fortnights of each term.

Brainwaves
The feature solutions to the problems and a list of participant names are posted here.

Challenges
End of term challenges for Stages 2, 3 & 4 are posted here.

MOTN in Action
Participating schools are featured here.

Brainwave 7

Get That Job

Display
There is a part time job available at the local fruit and vegetable shop. To get the job you need to arrange 660 oranges into a series of square pyramid displays. How would you do this?

Feature Solution

The feature solution for the problem came from Year 5 Boys from Tottenham CS

What did you have to find out?
We got a job and we had to find out how we could arrange 660 oranges into a series of square pyramid stacks.

What materials did you use?
Oranges, table, calculators, paper.

How did you think? What strategies did you use? How did you solve this problem?
We built a square pyramid using the least amount of oranges. We gradually worked our way up using the squaring principle. The answer we got from our 'squaring' we added to the previous answer.

What answers did you come up with?
When we started we made a table of all the numbers you could use to make a square pyramid.
These were 5, 14, 30, 55, 91,140, 204, 285, 385, 506
We then used our calculators and paper and worked out the different arrangements we could make.
Our display was 506+55+55+30+14=660

(Another display is 14+30+91+140+385=660)

Commendable contributors to the problem were:
Kate, Joseph & Rhys from Beckom PS
Lauren; Gustavo; Isaac; Claude; Bronte; Joshua; Connor; Niamh & others; Paul from St Francis Xavier's Catholic Primary School
Ryan & Remy; Dennison, Damien & Amit from Carlton PS

Solutions were also sent in by:
Thomas; Wes & Levi; Shannon from Shell Cove PS
Sheng An & Daniel from Carlton South PS
Anna from Lord Howe Island CS
Emma from St Josephs Alstonville
Phoebe, Alex & Sarah; Sarah, Lauren, Hannah & Ebony; Bridget & Grace; Jessica & Sam; Zoe, Nellie & Andrea; Anneka, Maddy & Charlotte;Ranisha & Maggie; Sarah & Phoebe; Maddie & Anneka; Charlotte & Anneka; Lydia, Meghann & Holly; Alice, Liv & Katlin; Susannah; Caroline, Gen & Rachael; Courtney, Meg & Adeline from St Michaels Collegiate
Harry & Steven; Danielle & Abbey from Lord Howe Island CS
Anna, Katelyn & Carrie from Carlton PS
Maddie & Luke from St Josephs Nyngan
Jono, Brando & Samy from St Thomas
Alice; Skye; Sarah; Jeremy from Wyalong PS
Jasmine & Kayla; Sakshi; Joanne; Trent & Jack; Eric, Edward & William; Grace & Alena; Daniel & Andrew from St Peters Anglican

Year 4/5 Tottenham CS