Page 147 - NUMINO Challenge_C2
P. 147
Answer
Key
Words and Logic 4 One domino covers one black square and one
white square. If there were an equal number of
4 Parity Strategies p.34~p.35 black and white squares on the grid, 7 dominos
are required to the grid. However, there are 6
Example even odd white squares and 8 black squares; therefore,
the grid cannot be completely covered as the
TryItAgain There are 50 even and 50 odd numbers from number of squares differs.
1 to 100. The sum of all the even numbers is
equal to the sum of even numbers added an Problem solving
even number of times. The sum of all the
odd numbers is equal to the sum of odd 1 Since a domino piece has two square ends,
numbers added an even number of times.
Therefore, the difference between all the there should be an even number of squares to
even and odd numbers is (even number)- completely cover the grid. Therefore, grid
(even number). Therefore, it is an even which has an odd number of squares cannot be
number. completely covered. When grids , , and
are colored like a chessboard, since one domino
Example Back, Front, Back back, front piece covers one white square and one black
odd, even even, front square, you should look for a grid that has an
equal number of white and black squares.
Type 4-1 Placing Dominos p.36~p.37 Therefore, grid can be completely covered.
1
White square : 4
Black square : 6
White square : 5
Black square : 5
White square: 6, Black square: 8 White square : 6
Black square : 8
2 When the grid is covered with domino pieces,
each domino piece covers one white square and 2 When you color each seat and the seat that a
one black square.
White space: 1, Black space: 1 student can move to with 2 different colors, the
seats are as shown below.
3 Each domino piece covers one white square and
one black square on the grid; therefore, there A student from a white seat moves to a black
should be an equal number of square. seat, and a student from a black seat moves to a
Therefore, the difference should be 0. white seat. Since there are four white seats and
five black seats, not every student can move to
another seat.
NUMINO Challenge C2
Key
Words and Logic 4 One domino covers one black square and one
white square. If there were an equal number of
4 Parity Strategies p.34~p.35 black and white squares on the grid, 7 dominos
are required to the grid. However, there are 6
Example even odd white squares and 8 black squares; therefore,
the grid cannot be completely covered as the
TryItAgain There are 50 even and 50 odd numbers from number of squares differs.
1 to 100. The sum of all the even numbers is
equal to the sum of even numbers added an Problem solving
even number of times. The sum of all the
odd numbers is equal to the sum of odd 1 Since a domino piece has two square ends,
numbers added an even number of times.
Therefore, the difference between all the there should be an even number of squares to
even and odd numbers is (even number)- completely cover the grid. Therefore, grid
(even number). Therefore, it is an even which has an odd number of squares cannot be
number. completely covered. When grids , , and
are colored like a chessboard, since one domino
Example Back, Front, Back back, front piece covers one white square and one black
odd, even even, front square, you should look for a grid that has an
equal number of white and black squares.
Type 4-1 Placing Dominos p.36~p.37 Therefore, grid can be completely covered.
1
White square : 4
Black square : 6
White square : 5
Black square : 5
White square: 6, Black square: 8 White square : 6
Black square : 8
2 When the grid is covered with domino pieces,
each domino piece covers one white square and 2 When you color each seat and the seat that a
one black square.
White space: 1, Black space: 1 student can move to with 2 different colors, the
seats are as shown below.
3 Each domino piece covers one white square and
one black square on the grid; therefore, there A student from a white seat moves to a black
should be an equal number of square. seat, and a student from a black seat moves to a
Therefore, the difference should be 0. white seat. Since there are four white seats and
five black seats, not every student can move to
another seat.
NUMINO Challenge C2
