Page 150 - NUMINO Challenge_B1
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5 Nim Game p.42~p.43 5 You can cross out 1 to 11 days for the month of
November. The last day of November is the
Example 22, ,9 9, ,1010, 1,, 110, ,1l0o,selose lose, 6 30th. In order not to cross out the 30th, you
2 , 6 , 2, 1 , 2 must cross out the 29th. If you think backwards,
you must cross out (1 11) days before the 29th,
Example 46, 4 42, 4 which is the 17th and 5th. Therefore, in order to
4, 2, remainder, 4, 12, 2
win, you must be the first player and cross out
5 days on your first turn.
first, 2
TryItAgain To say 35, the player must say 31. Work Problem solving
backwards, and say 27, 23, 19, 15, 11, 7, 3.
Therefore, the player must start with 3 in 1 Each player takes 1 to 3 marbles on each turn. In
order to win.
order to take the last marble, start with 15 and
Type 5-1 Crossing Out Numbers from a Calendar p.44~p.45 count down by 4's (15, 11, 7, 3). Therefore, you
must start by taking 3 marbles.
1 In order to make your opponent cross out the
last day, you must cross out the 30th, so that 2 The player who crosses out the 28th loses.
only one day is left. Therefore, a player must cross out the 27th in
order to win. Each player crosses out 1 to 4 days
2 You can cross out 1 to 7 days on each turn. In on each turn. In order to cross out the 27th, start
order to cross out the 30th, you must cross out with 27 and count down by 5's (22, 17, 12, 7, 2).
the day which is 7 1 8 days before the 30th, The first 3 days are already crossed out, so the
which is the 22nd. second player must cross out 4, 5, 6, 7 in order
to win.
Opponent (days) Me (days) Type 5-2 Say 100 p.46~p.47
1 7 1 Greatest number: 10, Smallest number: 1
2 6
3 5 2 The player must say the number that is less than
4 4 100 by 11 (sum of the greatest and smallest
5 3 numbers). The answer is 100 11 89.
6 2
7 1
3 To cross out the 22nd, you must cross out 3 Start with 89 and count down by 11's.
22 8 the 14th. To cross out the 14th, you 78, 67, 56, 45, 34, 23, 12, 1
must cross out 14 8 the 6th.
4 The smallest number the player can use is 1. This
4 The earliest date to be crossed out is the 6th. number is equal to the remainder of 100 11.
Therefore, in order to win, you must start first
and cross out 6 days.
5 The player must say 1 in order to say the target
number 100. Therefore, the first player is more
likely to win.
Answer Key
November. The last day of November is the
Example 22, ,9 9, ,1010, 1,, 110, ,1l0o,selose lose, 6 30th. In order not to cross out the 30th, you
2 , 6 , 2, 1 , 2 must cross out the 29th. If you think backwards,
you must cross out (1 11) days before the 29th,
Example 46, 4 42, 4 which is the 17th and 5th. Therefore, in order to
4, 2, remainder, 4, 12, 2
win, you must be the first player and cross out
5 days on your first turn.
first, 2
TryItAgain To say 35, the player must say 31. Work Problem solving
backwards, and say 27, 23, 19, 15, 11, 7, 3.
Therefore, the player must start with 3 in 1 Each player takes 1 to 3 marbles on each turn. In
order to win.
order to take the last marble, start with 15 and
Type 5-1 Crossing Out Numbers from a Calendar p.44~p.45 count down by 4's (15, 11, 7, 3). Therefore, you
must start by taking 3 marbles.
1 In order to make your opponent cross out the
last day, you must cross out the 30th, so that 2 The player who crosses out the 28th loses.
only one day is left. Therefore, a player must cross out the 27th in
order to win. Each player crosses out 1 to 4 days
2 You can cross out 1 to 7 days on each turn. In on each turn. In order to cross out the 27th, start
order to cross out the 30th, you must cross out with 27 and count down by 5's (22, 17, 12, 7, 2).
the day which is 7 1 8 days before the 30th, The first 3 days are already crossed out, so the
which is the 22nd. second player must cross out 4, 5, 6, 7 in order
to win.
Opponent (days) Me (days) Type 5-2 Say 100 p.46~p.47
1 7 1 Greatest number: 10, Smallest number: 1
2 6
3 5 2 The player must say the number that is less than
4 4 100 by 11 (sum of the greatest and smallest
5 3 numbers). The answer is 100 11 89.
6 2
7 1
3 To cross out the 22nd, you must cross out 3 Start with 89 and count down by 11's.
22 8 the 14th. To cross out the 14th, you 78, 67, 56, 45, 34, 23, 12, 1
must cross out 14 8 the 6th.
4 The smallest number the player can use is 1. This
4 The earliest date to be crossed out is the 6th. number is equal to the remainder of 100 11.
Therefore, in order to win, you must start first
and cross out 6 days.
5 The player must say 1 in order to say the target
number 100. Therefore, the first player is more
likely to win.
Answer Key
