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DISINI j3s2009

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A game piece is placed on the upper left square of a game board with 30 squares as shown.. By a sequence of 11 moves, each from a given square to an adjoining square either to the

It is much simpler to count how many ways to choose the two remaining numbers: either they are both divisible by 3, or one leaves remainder 1 and the other leaves remainder 2

Part marks will be awarded only if relevant work is shown in the space provided in the answer booklet.. An 8 × 6 grid is placed in the first quadrant with its edges along the axes,

A self-avoiding rook walk on a chessboard (a rectangular grid of unit squares) is a path traced by a sequence of moves parallel to an edge of the board from one unit square to

A self-avoiding rook walk on a chessboard (a rectangular grid of squares) is a path traced by a sequence of rook moves parallel to an edge of the board from one unit square to

(a) Given a similar 4 by 4 grid of dots, there is a total of 20 squares of five different sizes that can be formed with corners on the dots.. Draw one example of each size and

(Try blocking out the numbers larger than each of these to see this.) This pattern does continue since when each of these odd perfect squares is reached, the number of spaces up to

A magic square is a grid of numbers in which the sum of the numbers in each row, in each column, and on each of the two main diagonals is equal to the same number (called the