Advanced Mathematics Competition
Year 5 and Year 6
In a lake, there is a patch of algae. Every day, the patch doubles in size. If it takes 53 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
"What day do you go back to school, Quinn?" asked her grandmother one day.
"Well," Quinn replied, "Nine days ago, the day before yesterday was three weeks before the second day of term."
If Quinn had this conversation on a Sunday, what day of the week did she start school?
If you multiply a number by 12, divide it by 4, subtract 20 and divide it by 11 to get 2, what number did you start with?