数学切り抜き帳
数学目次へ
年賀パズル2005年 解答
桜花学園大学教授
岩井 齊良
 年賀パズル2005年 の解答は以下の通りです。

1 1□(2□3)○456○7○8□9 1+(2+3)×456×7÷8+9
2 (1○2□34□5)○67□8○9 (1×2+34-5)×67-8×9
3 1□(2○3□45○6)○7□8○9 1+(2×3+45×6)×7+8×9
4 1□(2○3○45□6)○7□8○9 1+(2×3×45+6)×7+8×9
5 (1□2○34)○5○6□7□8○9 (1+2×34)×5×6+7-8×9
6 (1□2○34)○5○6□7○8□9 (1+2×34)×5×6-7×8-9
7 12○((34□5)○6□7)□8□9 12×((34-5)×6-7)-8+9
8 ((12□3)○4□5)○67□8○9 ((12-3)×4-5)×67-8×9
9 1□2○3○(4□5○(67□8□9)) 1+2×3×(4+5×(67+8-9))
10 1□2○(3○(4□5○67□8)□9) 1+2×(3×(4+5×67-8)+9)
11 1□(2○34○5□6)○(7□8□9) 1+(2×34×5-6)×(7+8-9)
12 (12□3□4)○((56□7)○8□9) (12-3-4)×((56-7)×8+9)
13 1□2○3□(4□5○6○7□8)○9 1+2×3+(4+5×6×7+8)×9
14 1□2○(3□4○5)○6○7□8○9 1+2×(3+4×5)×6×7+8×9
15 1□(23□4)○5○(6□7□8)□9 1+(23-4)×5×(6+7+8)+9
16 ((1□2)○3□4□5)○67□8○9 ((1+2)×3×4-5)×67-8×9
17 1□2□(3□4)○(5○(67□8)□9) 1+2+(3+4)×(5×(67-8)-9)
18 ((1□2)○3□4)○((56□7)○8□9) ((1+2)×3-4)×((56-7)×8+9)
19 ((1□2)○3□4)○((56□7)○8□9) ((1+2)÷3+4)×((56-7)×8+9)

 別問題の解答

1 9□8□(7□654)○3□21 9-8+(7+654)×3+21
2 (98○7□654)○3□2□1 (98÷7+654)×3+2-1
3 (9○8○76□543)○(2□1) (9×8×76+543)÷(2+1)
4 9□8□7○(65○4□3□21) 9+8+7×(65×4+3+21)
5 9○8□7□6○(5□4)○321 9×8+7+6×(5-4)×321
6 9○(8□7□654)○3□2○1 9×(8+7+654)÷3-2×1
7 (98□7)○(65□43)□2□1 (98-7)×(65-43)+2+1
8 9○8□7○6○(5□43□2)□1 9×8+7×6×(5+43-2)+1
9 9□8□(76□5)○(4□3□21) 9+8+(76-5)×(4+3+21)
10 (9□8□7□6○54)○3○2□1 (9+8-7+6×54)×3×2+1
11 (9○8○7□6□5)○4□32□1 (9×8×7-6-5)×4+32+1
12 (987□(6□5□4)○3)○2□1 (987+(6-5+4)×3)×2+1
13 (9□87○(65□4))○3□2□1 (9+87×(65+4))÷3+2-1
14 9□8□(76□5)○4○(3○2□1) 9+8+(76-5)×4×(3×2+1)
15 9○(8□7○6○5)□43○(2□1) 9×(8+7×6×5)+43×(2-1)
16 (9□8□76○5□4)○(3□2○1) (9+8+76×5+4)×(3+2×1)
17 (9□8□76○5□4)○(3○2□1) (9+8+76×5+4)×(3×2-1)
18 (9□87○(65□4)□3)○(2□1) (9+87×(65+4)+3)÷(2+1)
19 9○8□7○6○(5○4□3)○2□1 9×8+7×6×(5×4+3)×2+1
20 9○(8□7○6○5□4)□3○2□1 9×(8+7×6×5+4)+3×2+1
21 (9○8○7□6□5)○4□3○2□1 (9×8×7-6+5)×4-3×2-1
22 9○8□7○(6□54○(3□2))□1 9×8+7×(6+54×(3+2))+1
23 9○(8□(7□6)○5○43)□2○1 9×(8+(7-6)×5×43)-2×1
24 9○(8○(7□6)□5○43)□2○1 9×(8×(7-6)+5×43)-2×1
25 (9□8)○(76□5□4○3)○2□1 (9+8)×(76-5-4×3)×2-1
26 (9□8)○(76□5○4□3)○2□1 (9+8)×(76-5×4+3)×2-1
27 9□(87□6□5)○4)○(3○2□1) 9+(87+6+5)×4)×(3×2-1)
28 (9□(87□6□5)○4)○(3□2○1) (9+(87+6+5)×4)×(3+2×1)
29 9○((8□7○6□5)○4□3)□2○1 9×((8+7×6+5)×4+3)-2×1
30 9○((8○7□6□5)○4□3)□2○1 9×((8×7-6+5)×4+3)-2×1
31 (9□8)○(7○6□5□4○3)○2□1 (9+8)×(7×6+5+4×3)×2-1
32 (9□8)○(7○6□5○4□3)○2□1 (9+8)×(7×6+5×4-3)×2-1
33 (9□8□7○6)○(5□4○3)○2□1 (9+8+7×6)×(5+4×3)×2-1
34 (9□8□7○6)○(5○4□3)○2□1 (9+8+7×6)×(5×4-3)×2-1
35 (9□8○7□6)○(5□4○3)○2□1 (9+8×7-6)×(5+4×3)×2-1
36 (9□8○7□6)○(5○4□3)○2□1 (9+8×7-6)×(5×4-3)×2-1
37 (9○8□7□6)○(5□4○3)○2□1 (9×8-7-6)×(5+4×3)×2-1
38 (9○8□7□6)○(5○4□3)○2□1 (9×8-7-6)×(5×4-3)×2-1
39 (9□8)○(7○(6□5)□43□2)□1 (9+8)×(7×(6+5)+43-2)-1
40 ((98□7□6)○(5□4)□3)○2□1 ((98+7+6)×(5+4)+3)×2+1
41 ((98□7)○(6□5)□4□3)○2□1 ((98-7)×(6+5)+4-3)×2+1
42 (9□8○7○(6□5□4))○(3□2○1) (9+8×7×(6+5-4))×(3+2×1)
43 (9□8○7○(6□5□4))○(3○2□1) (9+8×7×(6+5-4))×(3×2-1)
44 (9○(8□7□6○5)□4)○(3□2○1) (9×(8+7+6×5)-4)×(3+2×1)
45 (9○(8□7□6○5)□4)○(3○2□1) (9×(8+7+6×5)-4)×(3×2-1)
46 (9○(8□7□6)○5□4)○(3□2○1) (9×(8+7-6)×5-4)×(3+2×1)
47 (9○(8□7□6)○5□4)○(3○2□1) (9×(8+7-6)×5-4)×(3×2-1)
48 (9○(8□7○6□5)□4)○(3□2○1) (9×(8+7×6-5)-4)×(3+2×1)
49 (9○(8□7○6□5)□4)○(3○2□1) (9×(8+7×6-5)-4)×(3×2-1)
50 (9○(8○7□6□5)□4)○(3□2○1) (9×(8×7-6-5)-4)×(3+2×1)
51 (9○(8○7□6□5)□4)○(3○2□1) (9×(8×7-6-5)-4)×(3×2-1)
52 (9□(8□7)○(6□5)○4)○3□2○1 (9+(8+7)×(6+5)×4)×3-2×1
53 (9□8)○((7□6)○(5□4)□3□2)□1 (9+8)×((7+6)×(5+4)+3-2)-1