Solution

158571

Problem / game
First name
Ellie
School
Dulwich College Seoul
Age
12

Q1) Without doing any working out, which one would you chose and why?
A1) Without doing any calculations, automatically, I chose the first choice because the number was bigger than the others. It looked easier to get more money in allowance when the same big number repeated then when little numbers added to each other and made a total altogether.

Q2) In a month with 31 days, how much money would you have by the end of the month, under each system?
A2) 10 pounds each day: 310 pounds
+0.5: 308 pounds
X2: 2139075066p

Q3) In what months would option 1 be better than option 2?
A3)In every month, option 1 would be better than option 2 because every month, the value of option 1 would be bigger than option 2.

Q4) If your family stopped giving pocket money on day 8, which option would give you the most?
A4) Option 1 would give you 80 pounds, option 2 would give you 38 pounds and option 3 would give you 255p. Overall option 1 would give you the biggest value of money in the 8 days.