24. In this year of 2017, my family is in its prime: I am 7, my brother is 5, my mother is 29 and my father is 31. All of our ages are prime numbers.
What is my father’s age the next year that my family is in its prime, when all of our ages are again prime?
In the 4 by 4 square shown, I am filling in the 16 small squares with the numbers 1, 2, 3 and 4 so that each row and each column has one of each of these numbers... I have a rectangular [r]
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.
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. 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.
Warren drew two large squares that overlap to form the hexagon shown.. Beginning with a row of 20 coins, Anh takes the first coin, then every fourth coin after that.[r]
Leila has a number of identical square tiles that she puts together edge to edge in a single row, making a rectangle.. The perimeter of this rectangle is three times that of a single til[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]