corner piece edge piece interior piece (two straight sides at right angles) (one straight side) (no straight sides).. We treat two shapes as the same if one is a rotation of the other, w[r]
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]
Questions 26–30 are worth 6, 7, 8, 9 and 10 marks, respectively.
26. Let A be a 2018-digit number which is divisible by 9. Let B be the sum of all digits of A and C be the sum of all digits of B. Find the sum of all possible values of C.
27. The trapezium ABCD has AB = 100, BC = 130, CD = 150 and DA = 120, with right angles at A and D.
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]
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]
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]
For n ≥ 3, the sequence of centred n-gon numbers is found by starting with a central dot, then adding layers consisting of n-gons of dots around this centre, where the number of dots on [r]
How many toy soldiers would I have to remove from the original configuration to be able to arrange the remaining ones into a rectangular array with 11 fewer rows and 11 more columns. 30[r]
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. How many toy soldiers would I have to rem[r]