Page 150 - NUMINO Challenge_C1
P. 150
2 In order to win the game, you can either leave 6 Matchstick Puzzles p.50~p.51
the same number of marbles in the dish, or Example 4, 5, 6, 3, 7, 6 0, 6 8 2, 3, 5, 3, 5
leave four marbles in one dish and none in the
other. (If the other player takes three marbles, Try It Again
you take one marble. If he/she takes two
marbles, you take two marbles. If he/she takes , ,
three marbles, then you take one marble.) You
can win when you first take three marbles from
dish B.
Example , 2, 2
Creative Thinking p.48~p.49
, 12, 3
1 Using the principles of symmetry, leave the , 8, 2
same number of marbles in each basket, and Answers will vary.
then take the same number of marbles as the
other player took. Therefore, first take five Type 6-1 Matchstick Equations p.52~p.53
marbles from the basket of sixteen marbles, and
then take the same number of marbles as the 1 One matchstick added:
other player did, in order to have the same One matchstick removed:
number of marbles left in each basket.
2 One matchstick added:
2 The center of symmetry is not a square, One matchstick removed:
therefore the second player can definitely win, 3 One matchstick added:
when he/she places the piece symmetrical to
the piece of the first player. 4 Remove one matchstick from to form .
3 First move the black stone on the 2nd row two Then, subtract it from to get .
spaces, such that each row has the same
number of empty spaces. No matter how many
spaces the other player moves, keep the same
number of empty spaces between the black and
white stones on each row.
4 No matter where the first
player draws the straight lines
from, if you use the principles
of symmetry to draw lines
symmetrical to the ones that
the first player draw, you can surely win.
Therefore, the second player will always win.
Answer Key
the same number of marbles in the dish, or Example 4, 5, 6, 3, 7, 6 0, 6 8 2, 3, 5, 3, 5
leave four marbles in one dish and none in the
other. (If the other player takes three marbles, Try It Again
you take one marble. If he/she takes two
marbles, you take two marbles. If he/she takes , ,
three marbles, then you take one marble.) You
can win when you first take three marbles from
dish B.
Example , 2, 2
Creative Thinking p.48~p.49
, 12, 3
1 Using the principles of symmetry, leave the , 8, 2
same number of marbles in each basket, and Answers will vary.
then take the same number of marbles as the
other player took. Therefore, first take five Type 6-1 Matchstick Equations p.52~p.53
marbles from the basket of sixteen marbles, and
then take the same number of marbles as the 1 One matchstick added:
other player did, in order to have the same One matchstick removed:
number of marbles left in each basket.
2 One matchstick added:
2 The center of symmetry is not a square, One matchstick removed:
therefore the second player can definitely win, 3 One matchstick added:
when he/she places the piece symmetrical to
the piece of the first player. 4 Remove one matchstick from to form .
3 First move the black stone on the 2nd row two Then, subtract it from to get .
spaces, such that each row has the same
number of empty spaces. No matter how many
spaces the other player moves, keep the same
number of empty spaces between the black and
white stones on each row.
4 No matter where the first
player draws the straight lines
from, if you use the principles
of symmetry to draw lines
symmetrical to the ones that
the first player draw, you can surely win.
Therefore, the second player will always win.
Answer Key