Page 149 - NUMINO Challenge_C1
P. 149
Answer
Key
2 Find all the rectangular shapes that include the Type 5-2 Moving Marbles p.46~p.47
square in the center and have point symmetry
1 Think backward. If your opponent starts first and
with themselves, with respect to the center of moves one marble two spaces, then you should
move your marble two spaces to win. If there is
the grid. one remaining space in each row when you
finish your turn, the opponent should move one
3 Start first, and color the rectangular shape as marble one space, and then you can move your
shown in , and then, always color the shape marble in another row to win. The player who
symmetric to the other player's shape in the finishes the turn with the same remaining space
previous turn. in both rows wins. Therefore, the second player
8 ways has the advantage.
Problem solving 2 You can win when each row has the same
number of spaces left, as discussed in .
1 The first player draws a straight 11 12 1 Therefore, move the white marble on the 2nd
10 2 row one space, so that each row has two spaces
line that divides the clock in half left.
93
(see the clock on the right). Then, 3 To have the same number of remaining spaces,
84 move the black marble on the 2nd row two
no matter where the other player 7 65 spaces. After that, move the black marble as
many spaces as the white marble moves, such
draws the lines, use the axis symmetry to draw that each row has the same number of
remaining spaces. In this case, I can always win.
4 The game board has a rectangular shape, so
each marble has the same number of spaces
left. Therefore, when you play later and keep
the number of remaining spaces on both rows
the same, you can always win.
lines that are symmetric to it with respect to the
line passing through the center. Therefore, the
first player can always win. Problem solving
2 The first player puts the tile, so that the middle 1 You can always win when you leave three spaces
space is placed in the middle of the game at the end. For this, you should have six spaces
board. The player can surely win when he/she left on your previous turn. The two marbles have
puts tiles symmetric to the location of the six spaces where they can move around, so start
opponent's tile. later, and when the other player moves one
space, you move two, and when he/she moves
two spaces, move one, so that the number of
spaces left is a multiple of 3.
NUMINO Challenge C1
Key
2 Find all the rectangular shapes that include the Type 5-2 Moving Marbles p.46~p.47
square in the center and have point symmetry
1 Think backward. If your opponent starts first and
with themselves, with respect to the center of moves one marble two spaces, then you should
move your marble two spaces to win. If there is
the grid. one remaining space in each row when you
finish your turn, the opponent should move one
3 Start first, and color the rectangular shape as marble one space, and then you can move your
shown in , and then, always color the shape marble in another row to win. The player who
symmetric to the other player's shape in the finishes the turn with the same remaining space
previous turn. in both rows wins. Therefore, the second player
8 ways has the advantage.
Problem solving 2 You can win when each row has the same
number of spaces left, as discussed in .
1 The first player draws a straight 11 12 1 Therefore, move the white marble on the 2nd
10 2 row one space, so that each row has two spaces
line that divides the clock in half left.
93
(see the clock on the right). Then, 3 To have the same number of remaining spaces,
84 move the black marble on the 2nd row two
no matter where the other player 7 65 spaces. After that, move the black marble as
many spaces as the white marble moves, such
draws the lines, use the axis symmetry to draw that each row has the same number of
remaining spaces. In this case, I can always win.
4 The game board has a rectangular shape, so
each marble has the same number of spaces
left. Therefore, when you play later and keep
the number of remaining spaces on both rows
the same, you can always win.
lines that are symmetric to it with respect to the
line passing through the center. Therefore, the
first player can always win. Problem solving
2 The first player puts the tile, so that the middle 1 You can always win when you leave three spaces
space is placed in the middle of the game at the end. For this, you should have six spaces
board. The player can surely win when he/she left on your previous turn. The two marbles have
puts tiles symmetric to the location of the six spaces where they can move around, so start
opponent's tile. later, and when the other player moves one
space, you move two, and when he/she moves
two spaces, move one, so that the number of
spaces left is a multiple of 3.
NUMINO Challenge C1
