Page 165 - NUMINO Challenge_B2
P. 165
Answer
Key
Type 13-2 Number of Broken Mirrors p.116~p.117 Creative Thinking p.118~p.119
1 40 10 $400 1 Since there are 12 heads, the total number of
2 400 200 $200 ants and spiders is 12. If you assume that all 12
insects are spiders, there are 12 8 96 legs.
3 10 15 $25 But there are only 82 legs; therefore, 96 82
14 legs are missing. If one spider is replaced by
4 200 25 8 broken mirrors one ant, the number of legs reduces by 2. There
are 14 2 7 ants and 12 7 5 spiders.
5 30 10 175 $125
125 25 5 broken mirrors 2 If you assume that all 20 people were adults, then
Problem solving the admission fee is 1.50 20 $30. But 20
people paid $24; therefore, 30 24 $6 is
1 If you assume that Amy hits all the targets, she missing. The admission fee for children is $0.75;
therefore, when one adult is replaced by one
will get 20 15 300 points, and with the base child, the admission fee reduces by $0.75;
points, she will get 400 points in total. However, therefore, there are 6 0.75 8 children.
she receives 260 points, and that is 400 260 There are 20 8 12 adults.
140 points less than when she hits the target 15
times. The difference in points when she hits the 3 If you assume that there are 11 chickens, there
target and misses the target is 35 points.
Therefore, when she misses the target instead are 22 chicken legs and 0 pig legs. Since there
of hitting the target, the number of points is 11 more chickens than pigs, if there are 12
reduced by 35. Therefore, Amy misses the chickens there is 1 pig and there are 20 more
target 140 35 4 times. chicken legs than pig legs. This calculation is
shown in the table below.
Amy hits the target 15 4 11 times.
Number of 11 12 13 14 15
2 If you assume that Susan doesn't break any Chickens (22) (24) (26) (28) (30)
(Number of Legs)
dishes, she will get 50 cents 120 $60. But she
receives $51.50; therefore, 60 51.50 $8.50 is Number of 0 1 234
missing. Since she has to pay $1.20 for every dish Pigs (0) (4) (8) (12) (16)
she breaks instead of receiving 50 cents, she
loses $0.5 1.20 $1.70 every time she breaks a (Number of Legs)
dish.
Difference in 22 20 18 16 14
Susan broke 8.5 1.7 5 dishes. Number of Legs
There are 15 chickens and 4 pigs.
4 Without counting the bench for 5 people where 2
people are sitting, think that there are 52 people
and 14 benches. If you assume that all 14 benches
are each for 5 people, then there are 5 14
70 people. But, there are 52 students in reality so
70 52 18 people are missing. Every time a bench
for 5 people is replaced by a bench for 3 people,
the number of people reduces by 2; therefore, there
are 18 2 9 benches for 3 people and 14 9 5
benches for 5 people. Since there is 1 more bench
for 5 people where 2 people are sitting, there are 9
benches for 3 people and 6 benches for 5 people.
NUMINO Challenge B2
Key
Type 13-2 Number of Broken Mirrors p.116~p.117 Creative Thinking p.118~p.119
1 40 10 $400 1 Since there are 12 heads, the total number of
2 400 200 $200 ants and spiders is 12. If you assume that all 12
insects are spiders, there are 12 8 96 legs.
3 10 15 $25 But there are only 82 legs; therefore, 96 82
14 legs are missing. If one spider is replaced by
4 200 25 8 broken mirrors one ant, the number of legs reduces by 2. There
are 14 2 7 ants and 12 7 5 spiders.
5 30 10 175 $125
125 25 5 broken mirrors 2 If you assume that all 20 people were adults, then
Problem solving the admission fee is 1.50 20 $30. But 20
people paid $24; therefore, 30 24 $6 is
1 If you assume that Amy hits all the targets, she missing. The admission fee for children is $0.75;
therefore, when one adult is replaced by one
will get 20 15 300 points, and with the base child, the admission fee reduces by $0.75;
points, she will get 400 points in total. However, therefore, there are 6 0.75 8 children.
she receives 260 points, and that is 400 260 There are 20 8 12 adults.
140 points less than when she hits the target 15
times. The difference in points when she hits the 3 If you assume that there are 11 chickens, there
target and misses the target is 35 points.
Therefore, when she misses the target instead are 22 chicken legs and 0 pig legs. Since there
of hitting the target, the number of points is 11 more chickens than pigs, if there are 12
reduced by 35. Therefore, Amy misses the chickens there is 1 pig and there are 20 more
target 140 35 4 times. chicken legs than pig legs. This calculation is
shown in the table below.
Amy hits the target 15 4 11 times.
Number of 11 12 13 14 15
2 If you assume that Susan doesn't break any Chickens (22) (24) (26) (28) (30)
(Number of Legs)
dishes, she will get 50 cents 120 $60. But she
receives $51.50; therefore, 60 51.50 $8.50 is Number of 0 1 234
missing. Since she has to pay $1.20 for every dish Pigs (0) (4) (8) (12) (16)
she breaks instead of receiving 50 cents, she
loses $0.5 1.20 $1.70 every time she breaks a (Number of Legs)
dish.
Difference in 22 20 18 16 14
Susan broke 8.5 1.7 5 dishes. Number of Legs
There are 15 chickens and 4 pigs.
4 Without counting the bench for 5 people where 2
people are sitting, think that there are 52 people
and 14 benches. If you assume that all 14 benches
are each for 5 people, then there are 5 14
70 people. But, there are 52 students in reality so
70 52 18 people are missing. Every time a bench
for 5 people is replaced by a bench for 3 people,
the number of people reduces by 2; therefore, there
are 18 2 9 benches for 3 people and 14 9 5
benches for 5 people. Since there is 1 more bench
for 5 people where 2 people are sitting, there are 9
benches for 3 people and 6 benches for 5 people.
NUMINO Challenge B2
