Page 163 - NUMINO Challenge_B2
P. 163
Answer
Key
Problem solving Creative Thinking p.108~p.109
1 Team C played three games; therefore, its spot can 1 Each person played three matches. When you
either be or . Team C played in the finals and add the records of Paul, Roger, and Julie, you
won against team E; therefore, team E’s spot can be get 3 wins, 1 draw, and 4 losses. Since the
number of wins and losses should be the same
, , or . in the overall record and the number of the
draws should be an even number, Sophie's
2 12 students shake hands with 11 other students. record was 2 wins, 1 draw, and 0 loss.
Two students shake hands at one time; therefore, 2 Since all the students can be partners with
12 11 2 66 handshakes will have taken place.
another student, it is similar to finding the
Type 12-2 The World Cup p.106~p.107 number of matches in a league system.
1 There are 32 8 4 countries in each group. ( 1) 2 21, ( 1) 42, 7;
Since they are in a league, each country plays therefore, there are 7 students.
4 1 3 matches.
3 The winning teams are indicated with arrows as
2 There are two countries from each group that
make it to the tournament stage. Since there are shown below.
8 groups, there are 2 8 16 countries that
make it to the tournament stage.
3 Since it's a tournament system, 16 1 15 Team C: 2 wins and 1 loss
matches are played. Team D: 1 win and 2 losses
4 3 15 18 matches
Problem solving 4 Each captain shook hands with all the other
1 A league system is applied in a preliminary captains; therefore, 6 5 2 15 handshakes
took place. There were 2 players left in each
round; therefore, each group plays 10 92 45 team; therefore, the total number of the
matches and since there are 3 groups, there will remaining players was 2 6 12. If these 12
be 45 3 135 matches in a preliminary round. players shook hands with each other, then
There are 3 students in each group; therefore, a 12 11 2 66 handshakes took place, but
total number of 3 3 9 students will advance since the players shook hands with players from
to the second round and there will be 9 1 8 other teams, there were 66 6 60 handshakes
matches. Therefore, the total number of that took place. Therefore, 15 60 75
matches is 135 8 143 matches. handshakes took place.
2 The total number of matches played by A, B, C,
and D was 4 3 2 6 matches. Since no match
ended in a tie, the record should be 6 wins and 6
losses. Therefore, D had 2 wins and 1 loss.
NUMINO Challenge B2
Key
Problem solving Creative Thinking p.108~p.109
1 Team C played three games; therefore, its spot can 1 Each person played three matches. When you
either be or . Team C played in the finals and add the records of Paul, Roger, and Julie, you
won against team E; therefore, team E’s spot can be get 3 wins, 1 draw, and 4 losses. Since the
number of wins and losses should be the same
, , or . in the overall record and the number of the
draws should be an even number, Sophie's
2 12 students shake hands with 11 other students. record was 2 wins, 1 draw, and 0 loss.
Two students shake hands at one time; therefore, 2 Since all the students can be partners with
12 11 2 66 handshakes will have taken place.
another student, it is similar to finding the
Type 12-2 The World Cup p.106~p.107 number of matches in a league system.
1 There are 32 8 4 countries in each group. ( 1) 2 21, ( 1) 42, 7;
Since they are in a league, each country plays therefore, there are 7 students.
4 1 3 matches.
3 The winning teams are indicated with arrows as
2 There are two countries from each group that
make it to the tournament stage. Since there are shown below.
8 groups, there are 2 8 16 countries that
make it to the tournament stage.
3 Since it's a tournament system, 16 1 15 Team C: 2 wins and 1 loss
matches are played. Team D: 1 win and 2 losses
4 3 15 18 matches
Problem solving 4 Each captain shook hands with all the other
1 A league system is applied in a preliminary captains; therefore, 6 5 2 15 handshakes
took place. There were 2 players left in each
round; therefore, each group plays 10 92 45 team; therefore, the total number of the
matches and since there are 3 groups, there will remaining players was 2 6 12. If these 12
be 45 3 135 matches in a preliminary round. players shook hands with each other, then
There are 3 students in each group; therefore, a 12 11 2 66 handshakes took place, but
total number of 3 3 9 students will advance since the players shook hands with players from
to the second round and there will be 9 1 8 other teams, there were 66 6 60 handshakes
matches. Therefore, the total number of that took place. Therefore, 15 60 75
matches is 135 8 143 matches. handshakes took place.
2 The total number of matches played by A, B, C,
and D was 4 3 2 6 matches. Since no match
ended in a tie, the record should be 6 wins and 6
losses. Therefore, D had 2 wins and 1 loss.
NUMINO Challenge B2
