ANSWERS to Sunny's 4 by 4 Challenge

Here are all the solutions to Sunny's 4x4 Challenge

If you find any errors, please let us know!
1= 44/44
2= 4/4 + 4/4
3= (4 + 4 + 4) / 4
4= 4 + (4 - 4) x 4
5= (4 x 4 + 4) / 4
6= (4 + 4) / 4 + 4
7= 4 + 4 - 4/4
8= 4 + 4 + 4 - 4
9= 4 + 4 + 4/4
10= (44 - 4) / 4

11= 44 / (SQRT4 + SQRT4)
12= 4 x 4 - SQRT4 x SQRT4
13= 4 x 4 - (4! / 4!!)
14= 4 x 4 - 4 + SQRT4
15= 4 x 4 - 4/4
16= 4+ 4 +4 + 4
17= 4 x 4 + 4/4
18= 4 x 4 + 4 - SQRT4
19= 4! - 4 - 4/4
20= (4 + 4) x SQRT4 + 4

21= (44 - SQRT4) / SQRT4
22= 4 x 4 + 4 + SQRT4
23= 4! + 4/4 - SQRT4
24= 4 x 4+ 4 + 4
25= (SQRT4 + SQRT4)! + 4/4
26= 4 x 4 + 4!! + SQRT4
27= 4! + SQRT4 + 4/4
28= 4! + 4 + 4 - 4
29= 4! + 4 + 4/4
30= 4! + 4 + 4 - SQRT4

31= 4! + 4!! - 4/4
32= 4! + 4!! + 4 - 4
33= 4! + 4!! + 4/4
34= 4! + 4!! + 4 - SQRT4
35= 4! + 4!! + (4!/4!!)
36= 4! + 4 + 4 + 4
37= 4! + (4! + SQRT4) / SQRT4
38= 4! + 4!! + 4 + SQRT4
39= 4! + (4 + 4/4)!!
40= 44 - SQRT4 - SQRT4

 41= 44 - (4!/4!!)
42= 44 - 4 + SQRT4
43= 44 - 4/4
44= 44 + 4 - 4
45= 44 + 4/4
46= 44 + 4 - SQRT4
47= 44 + (4!/4!!)
48= 44 + SQRT4 + SQRT4
49= (4! x SQRT4) + 4/4
50= 44 + 4 + SQRT4

51= 4! x SQRT4 + (4!/4!!)
52= 44 + 4 + 4
53= ((4!!)!! + 4!)/ 4!! + SQRT4
54= 4! x SQRT4 + SQRT4 + 4
55= ((4!!)!! + 4!)/ 4!! + 4
56= 4! x SQRT4 + 4 + 4
57= (4!/4!!)^4 - 4!
58= 4!! x 4!! - 4 - SQRT4
59= ((4!!)!! + 4!)/ 4!! + 4!!
60= 4!! x 4!! - SQRT4 - SQRT4

61= 4!! x 4!! - (4!/4!!)
62= 4!! x 4!! - 4 + SQRT4
63= 4!! x 4!! - 4/4
64= 4!! x 4!! + 4 - 4
65= 4!! x 4!! + 4/4
66= 4!! x 4!! + 4 - SQRT4
67= 4!! x 4!! + (4!/4!!)
68= 4!! x 4!! + SQRT4 + SQRT4
69= ((4!)^SQRT4 - 4!)/ 4!!
70= 4!! x 4!! + 4 + SQRT4

 71= ((4!)^SQRT4 - 4!!)/ 4!!
72= 4!! x 4!! + 4 + 4
73= ((4!/4!!)^4 - 4!!
74= 4!! x 4!! + 4!! + SQRT4
75= ((4!)^SQRT4 + 4!)/ 4!!
76= 4! x (4!/4!!) + 4
77= (4!/4!!)^4 - 4
78= 4!! x (4!! + SQRT4) - SQRT4
79= (4!/4!!)^4 - SQRT4
80= 4!! x (4 + 4 + SQRT4)

81= (4 - 4/4)^4
82= 4!! x (4!! + SQRT4) + SQRT4
83= (4!/4!!)^4 + SQRT4
84= 4!! x (4!! + SQRT4) + 4
85= (4!/4!!)^4 + 4
86= (4 + SQRT4)! / 4!! - 4
87= ((4 + SQRT4)! - 4!) / 4!!
88= (4 + SQRT4)! / 4!! - SQRT4
89= (4!/4!!)^4 + 4!!
90= (SQRT4 + SQRT4 + SQRT4)! / 4!!

91= ((4 + SQRT4)! + 4!!) / 4!!
92= 4! x 4 - SQRT4 - SQRT4
93= 4! x 4 - (4!/4!!)
94= 4! x 4 - 4 + SQRT4
95= 4! x 4 - 4/4
96= 4! x 4 + 4 - 4
97= 4! x 4 + 4/4
98= 4! x 4 + 4 - SQRT4
99= 4! x 4 + (4!/4!!)
100= (4 + 4 + SQRT4)^SQRT4
  or 4! x 4 + SQRT4 + SQRT4

© Murderous Maths 2004

And here are all the solutions for numbers 101-200 and beyond!
101 = (4 + (4!/4!!))!! - 4
102 = ((4!!)!! + 4!)/ (SQRT4 + SQRT4)
103 = (4 + (4!/4!!))!! - SQRT4
104 = ((4!!)!! + 4!)/ 4 + SQRT4
105 = (4 + 4 - 4/4)!!
106 = ((4!!)!! + 4!)/ 4 + 4
107 = (4 + (4!/4!!))!! + SQRT4
108 = (4!! + SQRT4)^SQRT4 + 4!!
109 = (4 + (4!/4!!))!! + 4
110 = ((4!!)!! + 4!)/ 4 + 4!!

111 = 444/4
112 = (4 + 4/4)! - 4!!
113 = (4 + (4!/4!!))!! + 4!!
114 = (4 + SQRT4)! / 4!! + 4!
115 = ((4!!)!! + (4!!)!!! - 4)/4
116 = (4 + 4/4)! - 4
117 = ((4!!)!! + (4!!)!!! + 4)/4
118 = (4 + 4/4)! - SQRT4
119 = 4 x 4! + INT (SQRT(4!!)!!) + 4
120 = ((4 x 4 + 4)/ 4)!

121 = (44/4)^SQRT4
122 = (4 + 4/4)! + SQRT4
123 = 4 x 4! + INT (SQRT(4!!)!!) + 4!!
124 = 4x4! + 4! +4
125 = (((4!!)!! - 4!)/4!!) + (4!!)!!!
126 = (4^4/SQRT4) -SQRT4
127 = (((4!!)!! x 4!!) - 4!)/4!
128 = 4x4x4xSQRT4
129 = (((4!!)!! x 4!!) + 4!)/4!
130 = (4^4/SQRT4) + SQRT4

131 = (((4!!)!! + 4!)/4!!) + (4!!)!!!
132 = (4^4/SQRT4) + 4
133 = (4!! - 4/4) x INT(SQRT (4!!)!!)
134 = ((4!!)!!! x SQRT4) - 4! - SQRT4
135 = (4!! x INT(SQRT (4!!)!!)) -INT(SQRT (4!!)!!) + SQRT4
136 = (4^4/SQRT4) + 4!!
137 = (4!! x INT(SQRT (4!!)!!)) -INT(SQRT (4!!)!!) + 4
138 = (((4!)^SQRT4) - 4!)/4
139 = ((4!! + SQRT4)!!! - SQRT4)/SQRT4
140 = ((4!)^SQRT4)/4 - 4
141 = ((4!! + SQRT4)!!! + SQRT4)/SQRT4
142 = ((4!)^SQRT4)/4 - SQRT4
143 = (((4!)^SQRT4) - 4)/4
144 = (SQRT4 + SQRT4 + SQRT4) x 4!
145 = (((4!)^SQRT4) + 4)/4
146 = ((4!)^SQRT4)/4 + SQRT4
147 = (4!! x INT(SQRT(4!!)!!)) - 4 - INT(SQRT(SQRT4))
148 = ((4!)^SQRT4)/4 + 4
149 = (4!! x INT(SQRT(4!!)!!)) - (4!/4!!)
150 = (((4!)^SQRT4) + 4!)/4

151 = ((4!!)!! - (4!!)!!! - SQRT4)/SQRT4
152 = ((4!)^SQRT4)/4 + 4!!
153 = ((4!!)!! - (4!!)!!! + SQRT4)/SQRT4
154 = ((4!!)!!! x SQRT4) - 4 - SQRT4
155 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4! -SQRT4
156 = (4! + SQRT4) x (4!/4)
157 = ((4!!)!!! x SQRT4) - (4!/4!!)
158 = ((4! - 4) x 4!!) - SQRT4
159 = ((4!!)!!! x SQRT4) - 4/4
160 = (44-4) x 4

161 = ((4!!)!!! x SQRT4) + 4/4
162 = ((4! - 4) x 4!!) + SQRT4
163 = ((4!!)!!! x SQRT4) + (4!/4!!)
164 = (4! x 4!!) - 4! - 4
165 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4! + 4!!
166 = (4! x 4!!) - 4! - SQRT4
167 = (4!!)!! - INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) + SQRT4
168 = (4 + 4!/4!!) x 4!
169 = ((4! + SQRT4)/SQRT4)^SQRT4
170 = (4! x 4!!) - 4! + SQRT4

171 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4!! - SQRT4
172 = (44 x 4) - 4
173 = INT(SQRT((4!!)!)) - 4! -(4!/4!!)
174 = (44 x 4) - SQRT4
175 = INT(SQRT((4!!)!)) - 4! -4/4
176 = 44 x SQRT4 x SQRT4
177 = INT(SQRT((4!!)!)) - 4! +4/4
178 = (44 x 4) + SQRT4
179 = ((4!!)!! - 4! - SQRT4)/SQRT4
180 = (4! x 4!!) - 4!! - 4
 181 = ((4!!)!! - 4! + SQRT4)/SQRT4
182 = (4! x 4!!) - 4!! - SQRT4
183 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) + SQRT4
184 = (4! x 4!!) - 4 - 4
185 = (4 + (4!/4!!))!! + (4!!)!!!
186 = (4! x 4!!) - 4 - SQRT4
187 = ((4!!)!! - 4!! - SQRT4)/SQRT4
188 = (4! x 4!!) - (SQRT4 x SQRT4)
189 = (4! x 4!!) - (4!/4!!)
190 = (4! x 4!!) - (4/SQRT4)

191 = (4! x 4!!) - (4/4)
192 = (4! x 4!!) x 4/4
193 = (4! x 4!!) + (4/4)
194 = (4! x 4!!) + (4/SQRT4)
195 = (4! x 4!!) + (4!/4!!)
196 = (4!! + 4 + SQRT4)^SQRT4
197 = ((4!!)!! +4!! +SQRT4)/SQRT4
198 = (4! x 4!!) + 4 + SQRT4
199 = INT(SQRT((4!!)!)) - (SQRT4 x SQRT4)/4
200 = (4! x 4!!) + 4 + 4

And here's just a few more...

201 = INT(SQRT((4!!)!)) + (SQRT4 x SQRT4)/4
202 = ((4!!)!! + 4! - 4)/SQRT4
203 = ((4!!)!! + 4! - SQRT4)/SQRT4
204 = ((4!!)!! + (SQRT4 x SQRT4)!)/SQRT4
205 = ((4!!)!! + 4! + SQRT4)/SQRT4
206 = ((4!!)!! + 4! + 4)/SQRT4
207 = INT(SQRT((4!!)!)) + 4 + 4!/4!!
208 = (4! x 4!!) + (4 x 4)
209 = INT(SQRT((4!!)!)) + 4!! +4/4
210 = (4 + 4!/4!!)!! x SQRT4)
211 = INT(SQRT((4!!)!)) + 4!! + 4!/4!!
212 = INT(SQRT((4!!)!)) + 4+ 4 +4

© Murderous Maths 2004

These answers were supplied by Sunny (Ana Marin) and Michael Jones and are
Copyright © Murderous Maths 2004
and may not be reproduced for commercial gain without permission.

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