Mathematics
Helen Sorenson
Australian Mathematics Competition
The AMC is an engaging 30-problem competition that demonstrates the importance and relevance of mathematics in students’ everyday lives; it is open to students in years 3 to 12. Several hundred thousand students took part in the Australian Mathematics Competition in August; 97 of them from Box Hill High School. Parents if you would like to try your hand at some problems read on to the bottom of this article.
Well done to all BHHS students who took part.
Special congratulations to Rachel Mei 7Z who was awarded Best in School and will receive a Prize from AMC (top 0.3% in Victoria).
Congratulations to the following students who were awarded a High Distinction
(top 3% in Victoria):
Jason Zeng 7B
Zachary Chen 7Z
Reece Sun 7Z
Daniel Bi 7Z
Caleb Low 8Z
Congratulations to the following students who were awarded a Distinction
(top 20% in Victoria):
Lachlan Cohn 7B
Dib Bhattacharya 7Z
Genevieve Patel 7G
Finnian Bulner 7B
Paul He 7F
Peter Nguyen 7H
Khushi Syal 7F
Derrick Lu 7J
Aarav Akhouri 7E
Akshaj Gupta 7F
Jenny Liu 7H
Miles Tang 7Z
Alvin Wijaya 7Z
Qi En Rernglertpricha 8Z
Rish Deb 8A
Cecilia Wang 8F
Victoria Wu 8Z
Navin Bala 8Z
Alec McMichael 8Z
Laura Dong 9I
Miguel Zhang 10Z
Felix Sun 11Z
Ian Desouza 11Y
Shania Desouza 11Y
Year 7 – 8 Problem
Jane has a number of 20c coins and Tariq has a number of 50c coins. They have the same amount of money. What is the smallest number of coins they could have altogether?
Year 9 – 10 Problem
On her birthday in 2007, Rachel’s age was equal to twice the sum of the digits of the year in which she was born. How many possible years are there in which she could have been born?
Year 11 – 12 Problem
An ascending number is one in which each digit is greater than the one before. A descending number is one in which each digit is less than the one before. Find the 33-digit descending number which is the square of an ascending number.
Email your solutions to helen.sorenson@education.vic.gov.au and I’ll let you know if you are correct or not.