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The four fours challenge
Use four fours and any mathematical symbols you know to make numbers from 1 to 100.
The red ones have been done (see the list below).
If you have an answer to any others, please post your solution in the form.
EXAMPLE: 4+4+4+4 = 16 You may use powers, eg 4^2, but you may not use 4s as digits, eg 44
The red ones have been done (see the list below).
If you have an answer to any others, please post your solution in the form.
EXAMPLE: 4+4+4+4 = 16 You may use powers, eg 4^2, but you may not use 4s as digits, eg 44
I've used / to mean divide, ^ to show powers, /4 to show the square root of 4, 4!=4x3x2x1
1 (4/4)x(4/4)
2 (4/4)+(4/4) Catie
3 (4+4+4)/4 Lucy T, Sarum St Paul's
4 4 + /4 + /4 -4 JD Gomeldon
5 (4 x 4 + 4)/4
6 4 + /4 + /4 - /4
7 4+4-(4/4) Jess, New Forest
8 4+4+4-4
9 4/4 +4+4 Catie
10 4x4-/4-4 Danny
11 (4!+4!-4)/4 Matthew, St Mark's
12 4^2 + 4 - 4 - 4 Katherine
13 (4! + 4! + 4) /4 Genius! No name given
14 4 x 4 + /4 -4 Lucy T, Sarum St Paul's
15 4 x 4 - (4/4) Aliesha, Longford
16 4 + 4 + 4 + 4 Mr Williams St Mark's
17 (4/4) + (4 x 4) Catie
18 (4x4) + 4 - /4 Alice, St Mark's
19 4!-4-4/4 Kristen, Latrobe High School, Tasmania
20 4^3+4^2-4^3+4 Matthew, St Mark's
21 (4^2 + 4^3 + 4^4) / 4^2 Erika, Greentrees Genius!!
22 4 x 4 + 4 + /4 Danny
23 ((4+4^3)+4!)/4 Kristen, Latrobe High School, Tasmania
24 4 x 4 + 4 + 4 Sam, Stratford sub Castle
25 ((4!x4)+4) /4 Mark, Greentrees
26 4! - 4 + 4 + /4 Hettie, Christ the King
27 4!+4 - (4/4) Aliesha, Longford
28 4 + 4 x 4 -4 Keegan, AWGS
29 4! + 4 + 4/4 Alice, St Mark's
30 4! + 4 + 4 - /4 Hettie, Christ the King
31 ((4! + 4)/4) +4! Michael
32 (4 x 4) + (4 x 4) Elias
33
34 (4 + 4) x 4 + /4 Ed, Sarum St Paul's
35
36 (4 + 4) x 4 + 4 Elle
37
38 4x4 + 4! - /4 Jordan, St Mark's
39 (4*4-.4)/.4 Scott, MUASD, USA
40 (/4 + 4 + 4) x 4 Jamie, Greentrees
41
42 4! + /4 + (4 x 4) Lucy T
43
44 4! + (4 x 4) + 4 Jess, New Forest
45
46 4! + 4! -4 + /4 Hettie, Christ the King
47 (4!+4!)-(4/4) Matthew, St Mark's
48 (4 + 4 + 4) x 4 Catie
49 4! + 4! - 4/4 Alice St Mark's
50 4! + 4! + 4 - /4 Hettie, Christ the King
1 (4/4)x(4/4)
2 (4/4)+(4/4) Catie
3 (4+4+4)/4 Lucy T, Sarum St Paul's
4 4 + /4 + /4 -4 JD Gomeldon
5 (4 x 4 + 4)/4
6 4 + /4 + /4 - /4
7 4+4-(4/4) Jess, New Forest
8 4+4+4-4
9 4/4 +4+4 Catie
10 4x4-/4-4 Danny
11 (4!+4!-4)/4 Matthew, St Mark's
12 4^2 + 4 - 4 - 4 Katherine
13 (4! + 4! + 4) /4 Genius! No name given
14 4 x 4 + /4 -4 Lucy T, Sarum St Paul's
15 4 x 4 - (4/4) Aliesha, Longford
16 4 + 4 + 4 + 4 Mr Williams St Mark's
17 (4/4) + (4 x 4) Catie
18 (4x4) + 4 - /4 Alice, St Mark's
19 4!-4-4/4 Kristen, Latrobe High School, Tasmania
20 4^3+4^2-4^3+4 Matthew, St Mark's
21 (4^2 + 4^3 + 4^4) / 4^2 Erika, Greentrees Genius!!
22 4 x 4 + 4 + /4 Danny
23 ((4+4^3)+4!)/4 Kristen, Latrobe High School, Tasmania
24 4 x 4 + 4 + 4 Sam, Stratford sub Castle
25 ((4!x4)+4) /4 Mark, Greentrees
26 4! - 4 + 4 + /4 Hettie, Christ the King
27 4!+4 - (4/4) Aliesha, Longford
28 4 + 4 x 4 -4 Keegan, AWGS
29 4! + 4 + 4/4 Alice, St Mark's
30 4! + 4 + 4 - /4 Hettie, Christ the King
31 ((4! + 4)/4) +4! Michael
32 (4 x 4) + (4 x 4) Elias
33
34 (4 + 4) x 4 + /4 Ed, Sarum St Paul's
35
36 (4 + 4) x 4 + 4 Elle
37
38 4x4 + 4! - /4 Jordan, St Mark's
39 (4*4-.4)/.4 Scott, MUASD, USA
40 (/4 + 4 + 4) x 4 Jamie, Greentrees
41
42 4! + /4 + (4 x 4) Lucy T
43
44 4! + (4 x 4) + 4 Jess, New Forest
45
46 4! + 4! -4 + /4 Hettie, Christ the King
47 (4!+4!)-(4/4) Matthew, St Mark's
48 (4 + 4 + 4) x 4 Catie
49 4! + 4! - 4/4 Alice St Mark's
50 4! + 4! + 4 - /4 Hettie, Christ the King
Solutions
51
52 4^3 - 4 - 4 - 4 Sam, Stratford sub Castle
53
54 4! + 4! + /4 + 4 Harry, St Mark's
55
56 4! + 4! + 4 + 4, Katherine
57
58 4^2 x 4 - 4 -/4 JD, Gomeldon
59 4^3 - 4/4 -4 Eva, St Mark's
60 4 x 4 x 4 - 4 Ava
61
62 4 x 4 x 4 - /4 Sasha and Amy, St Mark's
63 (4^4 - 4)/4 Mark, Greentrees
64 (4 + 4)(4 + 4)
65 (4^4 + 4)/4 Mr williams (inspired by an idea by James)
66 (4 xl 4 x 4) + /4 Keegan, AWGS
67 (4^3+4)-(4/4) Matthew, St Mark's
68 (4 x 4 x 4) + 4 Keegan, AWGS
69 (4^3 + 4)+ (4/4) Matthew, St Mark's
70 4! + 4! + 4! + /4 Hannah, St Mark's
71
72 4! + 4^2 + 4^2 + 4^2 Elias, Sarum St Paul's
73
74 4! + 4! + 4! + /4 JD, Gomeldon
75 (4!/4+4!)/.4 Jack, Westfield
76 4! + 4! + 4! + 4
77
78
79
80 (4 x 4 + 4) x 4 Ed, Sarum St Paul's
81
82
83
84 (4 + 4)^2 + 4^2 + 4 Elias, Sarum St Paul's
85 (4/.4 + 4!)/.4 Scott, MUASD, USA
86 4^3 + 4^2 + 4 + /4 Arun, Isleworth and Syon
87 4^3 + 4! -4/4 Mr W, St Mark's
88 4! x 4 - 4 - 4 Ben, Sarum St Paul's
89 4^3 + 4! + 4/4 Mr W, St Mark's
90 4! x 4 -4 -/4 Emily, St Mark's
91
92 4! x 4 - /4 - /4 Elen, St Mark's
93
94
95 (4x4!)-(4/4) Matthew, St Mark's
96 -4^2 + 4^3 - 4^2 + 4^3 Oliver, Gomeldon
97 (4! x 4) + (4/4) Andrew, St Mark's
98 (4! x 4) + 4 -/4 Oliver, Gomeldon
99
100 (4! + (4/4)) x 4 Catie
52 4^3 - 4 - 4 - 4 Sam, Stratford sub Castle
53
54 4! + 4! + /4 + 4 Harry, St Mark's
55
56 4! + 4! + 4 + 4, Katherine
57
58 4^2 x 4 - 4 -/4 JD, Gomeldon
59 4^3 - 4/4 -4 Eva, St Mark's
60 4 x 4 x 4 - 4 Ava
61
62 4 x 4 x 4 - /4 Sasha and Amy, St Mark's
63 (4^4 - 4)/4 Mark, Greentrees
64 (4 + 4)(4 + 4)
65 (4^4 + 4)/4 Mr williams (inspired by an idea by James)
66 (4 xl 4 x 4) + /4 Keegan, AWGS
67 (4^3+4)-(4/4) Matthew, St Mark's
68 (4 x 4 x 4) + 4 Keegan, AWGS
69 (4^3 + 4)+ (4/4) Matthew, St Mark's
70 4! + 4! + 4! + /4 Hannah, St Mark's
71
72 4! + 4^2 + 4^2 + 4^2 Elias, Sarum St Paul's
73
74 4! + 4! + 4! + /4 JD, Gomeldon
75 (4!/4+4!)/.4 Jack, Westfield
76 4! + 4! + 4! + 4
77
78
79
80 (4 x 4 + 4) x 4 Ed, Sarum St Paul's
81
82
83
84 (4 + 4)^2 + 4^2 + 4 Elias, Sarum St Paul's
85 (4/.4 + 4!)/.4 Scott, MUASD, USA
86 4^3 + 4^2 + 4 + /4 Arun, Isleworth and Syon
87 4^3 + 4! -4/4 Mr W, St Mark's
88 4! x 4 - 4 - 4 Ben, Sarum St Paul's
89 4^3 + 4! + 4/4 Mr W, St Mark's
90 4! x 4 -4 -/4 Emily, St Mark's
91
92 4! x 4 - /4 - /4 Elen, St Mark's
93
94
95 (4x4!)-(4/4) Matthew, St Mark's
96 -4^2 + 4^3 - 4^2 + 4^3 Oliver, Gomeldon
97 (4! x 4) + (4/4) Andrew, St Mark's
98 (4! x 4) + 4 -/4 Oliver, Gomeldon
99
100 (4! + (4/4)) x 4 Catie
Latest answers...
75 (4!/4+4!)/.4 Jack, Westfield
31 ((4! + 4)/4) +4! Michael
