36. Adams's Magic Hexagon. In 1957, Clifford W. Adams discovered a magic hexagon in which the sum of the numbers in any "row" is 38. Fill in the empty cells of the partially completed hexagon shown, using the whole numbers 6, 7, . . ., 15, to re-create Adams's discovery. When completed, each cell will contain one of the numbers 1, 2, . . . , 19. 238 18 + 17 +3 = 38 3+ 19 + 16 = 38 1. 18 16 19 17 42. (Massachusetts, Grade 4) Corey worked these problems. 2 + 8 = 10 6 + 6 = 12 10 + 4 = 14 12 + 2 = 14 8 +4 = 12 2 + 6 = 8 %3D When Corey finished, he said, "I think that the sum of ANY two even numbers is always an even number." Maya looked at Corey's work. She thought a bit and said, "I think that the sum of any two ODD numbers is always an odd number." 99 (a) Is Corey correct? Explain the reasons for your answer by using pictures, numbers, or words. (b) Is Maya correct? Explain the reasons for your answer by using pictures, numbers, or words. 43. (Massachusetts, Grade 4) Which of the following problems CANNOT be solved using the number sentence below? 15 - 8 = 0

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Chapter1: Functions And Models
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36. Adams's Magic Hexagon. In 1957, Clifford W. Adams
discovered a magic hexagon in which the sum of the numbers
in any "row" is 38. Fill in the empty cells of the partially
completed hexagon shown, using the whole numbers
6, 7, . . ., 15, to re-create Adams's discovery. When
completed, each cell will contain one of the numbers
1, 2, . . . , 19.
238
18 + 17 +3 = 38
3+ 19 + 16 = 38
1.
18
16
19
17
Transcribed Image Text:36. Adams's Magic Hexagon. In 1957, Clifford W. Adams discovered a magic hexagon in which the sum of the numbers in any "row" is 38. Fill in the empty cells of the partially completed hexagon shown, using the whole numbers 6, 7, . . ., 15, to re-create Adams's discovery. When completed, each cell will contain one of the numbers 1, 2, . . . , 19. 238 18 + 17 +3 = 38 3+ 19 + 16 = 38 1. 18 16 19 17
42. (Massachusetts, Grade 4)
Corey worked these problems.
2 + 8 = 10
6 + 6 = 12
10 + 4 = 14
12 + 2 = 14
8 +4 = 12
2 + 6 = 8
%3D
When Corey finished, he said, "I think that the sum of
ANY two even numbers is always an even number."
Maya looked at Corey's work. She thought a bit and said,
"I think that the sum of any two ODD numbers is always
an odd number."
99
(a) Is Corey correct? Explain the reasons for your answer by
using pictures, numbers, or words.
(b) Is Maya correct? Explain the reasons for your answer by
using pictures, numbers, or words.
43. (Massachusetts, Grade 4)
Which of the following problems CANNOT be solved using
the number sentence below?
15 - 8 = 0
Transcribed Image Text:42. (Massachusetts, Grade 4) Corey worked these problems. 2 + 8 = 10 6 + 6 = 12 10 + 4 = 14 12 + 2 = 14 8 +4 = 12 2 + 6 = 8 %3D When Corey finished, he said, "I think that the sum of ANY two even numbers is always an even number." Maya looked at Corey's work. She thought a bit and said, "I think that the sum of any two ODD numbers is always an odd number." 99 (a) Is Corey correct? Explain the reasons for your answer by using pictures, numbers, or words. (b) Is Maya correct? Explain the reasons for your answer by using pictures, numbers, or words. 43. (Massachusetts, Grade 4) Which of the following problems CANNOT be solved using the number sentence below? 15 - 8 = 0
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