Page 148 - NUMINO Challenge_C2
P. 148
Type 4-2 Finding Scores p.38~p.39 2 There are three odd numbers and two even
1 The number of base points is 10, which is an numbers among numbers from 1 to 5. When you
even number. An odd point is added for each add or subtract these three odd numbers, an odd
correct answer and an odd point is reduced for number of times, the result is an odd number.
each wrong answer. Therefore, after one When you add or subtract these two even
problem, Jenny's score is an odd number. numbers, the result is an even number. When 1,
3, and 5 are added or subtracted from each
2 For each problem, whether it is correct or not, other, the result is an odd number and when 2
an odd point is added; therefore, after two and 4 are added or subtracted from each other,
problems, (odd) (odd) (even point), and after the result is an even number.
three problems, (even) (odd) (odd point). The result of (odd) (even) or (odd) (even) is an
odd number. Therefore, the result cannot be 6.
3 Problem 1 2 3 4 5
Score (even, odd) (even, odd) (even, odd) (even, odd) (even, odd)
Since the number of base points is 10, an odd Creative Thinking p.40~p.41
point is added for each correct or wrong
answer. Also, for another correct answer, an odd 1 Color the floor such that the adjacent squares
point is added and for another wrong answer,
an odd point is reduced; therefore, the score have different colors.
becomes an even number. Therefore, whenever
Jenny solves a problem, an odd and even There are 13 and 12 .
number alternates for the score.
A When the greatest number of
B
C tiles is used to cover the floor,
D all the will be covered and
E
4 In . you can notice that when 1, 3, 5, one of the will be left blank.
problems (odd numbers) are solved, the score is
an odd number and when 2, 4, 6, problems Therefore, D is always covered with a tile.
(even numbers) are solved, the score is an even
number. Therefore, Jenny's score is an even 2 When the cards are flipped once: 1 1 or 0 0 .
number after 20 problems.
When the cards are flipped twice: 0 1 or 0 1 .
Problem solving Therefore, when the cards are flipped an odd
number of times the cards show 1 1 or 0
1 cannot be the total score since 1 7 7.
0 and when they are flipped an even number
and both have even scores and since all
seven (odd) arrows hit the target, the score of times, the cards show 0 1 or 1 0 . Since
cannot be an even number. cannot be the the cards are flipped 20 times (even number), the
total score since 9 7 63. cards show 0 1 or 1 0 ; therefore, the sum
Therefore, is the total score. of the numbers is 1.
3 The number of base points is 20, which is an
even number. An odd number is added for each
correct answer, and an odd number is reduced
for each wrong answer. Therefore, after one
Answer Key
1 The number of base points is 10, which is an numbers among numbers from 1 to 5. When you
even number. An odd point is added for each add or subtract these three odd numbers, an odd
correct answer and an odd point is reduced for number of times, the result is an odd number.
each wrong answer. Therefore, after one When you add or subtract these two even
problem, Jenny's score is an odd number. numbers, the result is an even number. When 1,
3, and 5 are added or subtracted from each
2 For each problem, whether it is correct or not, other, the result is an odd number and when 2
an odd point is added; therefore, after two and 4 are added or subtracted from each other,
problems, (odd) (odd) (even point), and after the result is an even number.
three problems, (even) (odd) (odd point). The result of (odd) (even) or (odd) (even) is an
odd number. Therefore, the result cannot be 6.
3 Problem 1 2 3 4 5
Score (even, odd) (even, odd) (even, odd) (even, odd) (even, odd)
Since the number of base points is 10, an odd Creative Thinking p.40~p.41
point is added for each correct or wrong
answer. Also, for another correct answer, an odd 1 Color the floor such that the adjacent squares
point is added and for another wrong answer,
an odd point is reduced; therefore, the score have different colors.
becomes an even number. Therefore, whenever
Jenny solves a problem, an odd and even There are 13 and 12 .
number alternates for the score.
A When the greatest number of
B
C tiles is used to cover the floor,
D all the will be covered and
E
4 In . you can notice that when 1, 3, 5, one of the will be left blank.
problems (odd numbers) are solved, the score is
an odd number and when 2, 4, 6, problems Therefore, D is always covered with a tile.
(even numbers) are solved, the score is an even
number. Therefore, Jenny's score is an even 2 When the cards are flipped once: 1 1 or 0 0 .
number after 20 problems.
When the cards are flipped twice: 0 1 or 0 1 .
Problem solving Therefore, when the cards are flipped an odd
number of times the cards show 1 1 or 0
1 cannot be the total score since 1 7 7.
0 and when they are flipped an even number
and both have even scores and since all
seven (odd) arrows hit the target, the score of times, the cards show 0 1 or 1 0 . Since
cannot be an even number. cannot be the the cards are flipped 20 times (even number), the
total score since 9 7 63. cards show 0 1 or 1 0 ; therefore, the sum
Therefore, is the total score. of the numbers is 1.
3 The number of base points is 20, which is an
even number. An odd number is added for each
correct answer, and an odd number is reduced
for each wrong answer. Therefore, after one
Answer Key
