Page 147 - NUMINO Challenge_D1
P. 147
Answer
Key
Creative Thinking p.30~p.31 3 The sums of numbers in each line are equal. (The sum
of numbers in each line) 6 (1 2 3 12) 2
1 Since the sum of numbers from 2 to implies that the sum is 26. First, find the number that is
10 is 54, the sum of the three on the line with three fixed numbers. Since 10
numbers in each direction is 54
3 18. The number in the middle 7 4 9 8 6 26, therefore, 5 and
cell will be used in 4 groups of three numbers, so
the sum of the 4 groups is 18 4 72. This 3. Write the remaining numbers 2, 11, and 12, so
means that numbers from 2 to 10 are used once,
and the number in the middle is used 3 times. that the sum of numbers in each line is 26.
Therefore, the number in the middle is (72 54)
11
3 6. Pair the remaining numbers, so that the
sum is 12. 10 74 10 5 74
1 86 1 2
729
864 9 93 86
3 10 5
12
Answers will vary.
4 There are 4 faces in the tetrahedron. Since all
2 All the straight lines include the
the 's are used by both faces, the sums of
colored . Therefore, excluding numbers on 4 faces are (sum of numbers from 1
the number in the colored , all to 12) 2 156. Therefore, the sum of the 6
the products of 2 numbers in each straight line numbers on each face is 156 4 39.
should be equal. The 3 pairs of numbers that If the sums of the two numbers on each edge
have the same product are 1 12, 2 6, and 3 are equal, the sums of the 6 numbers on each
4. The number that goes in the colored is 5. face are equal. Therefore, the sum of the two
numbers on each edge is 39 3 13. The pairs
1 that add up to 13 are (1, 12), (2, 11), (3, 10), (4,
24 9), (5, 8), and (6, 7). Use these pairs of numbers
on each edge.
5
36 42
12 91 11
Answers will vary. 67
5 12 10
83
Answers will vary.
NUMINO Challenge D1
Key
Creative Thinking p.30~p.31 3 The sums of numbers in each line are equal. (The sum
of numbers in each line) 6 (1 2 3 12) 2
1 Since the sum of numbers from 2 to implies that the sum is 26. First, find the number that is
10 is 54, the sum of the three on the line with three fixed numbers. Since 10
numbers in each direction is 54
3 18. The number in the middle 7 4 9 8 6 26, therefore, 5 and
cell will be used in 4 groups of three numbers, so
the sum of the 4 groups is 18 4 72. This 3. Write the remaining numbers 2, 11, and 12, so
means that numbers from 2 to 10 are used once,
and the number in the middle is used 3 times. that the sum of numbers in each line is 26.
Therefore, the number in the middle is (72 54)
11
3 6. Pair the remaining numbers, so that the
sum is 12. 10 74 10 5 74
1 86 1 2
729
864 9 93 86
3 10 5
12
Answers will vary.
4 There are 4 faces in the tetrahedron. Since all
2 All the straight lines include the
the 's are used by both faces, the sums of
colored . Therefore, excluding numbers on 4 faces are (sum of numbers from 1
the number in the colored , all to 12) 2 156. Therefore, the sum of the 6
the products of 2 numbers in each straight line numbers on each face is 156 4 39.
should be equal. The 3 pairs of numbers that If the sums of the two numbers on each edge
have the same product are 1 12, 2 6, and 3 are equal, the sums of the 6 numbers on each
4. The number that goes in the colored is 5. face are equal. Therefore, the sum of the two
numbers on each edge is 39 3 13. The pairs
1 that add up to 13 are (1, 12), (2, 11), (3, 10), (4,
24 9), (5, 8), and (6, 7). Use these pairs of numbers
on each edge.
5
36 42
12 91 11
Answers will vary. 67
5 12 10
83
Answers will vary.
NUMINO Challenge D1
