1 8 22 22 43 43 43
What is the smallest n for which 2017 is in the sequence of centred n-gon numbers?
29. I have a large number of toy soldiers, which I can arrange into a rectangular array consisting of a number of rows and a number of columns. I notice that if I remove 100 toy soldiers, then I can arrange the remaining ones into a rectangular array with 5 fewer rows and 5 more columns.
19. Farhad, Greg and Huong were dismantling their marble madness machine and had 2017 marbles to share. They split them so that Farhad had exactly twice as many as Greg, and Greg had twice as many as Huong, with as few left over as possible. How many marbles were in Farhad’s share?
1 8 22 22 43 43 43
What is the smallest n for which 2017 is in the sequence of centred n-gon numbers?
29. A friend and I play a game. We each start with two coins. We take it in turns to toss a coin; if it comes down heads, we keep it, if tails, we give it to the other. I always go first, and the game ends when one of us wins by having all four coins.
Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation.. Requests for such [r]
Four of the diagrams below show this object viewed from different angles, but one diagram shows a different object... Allan and Zarwa are playing a game tossing a coin.[r]