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Singapore
Singapore
Worldwide
Rank
Level
1
Yu Kai Tan
Region
100
2
Cr7pro
Region
91
3
Jiunhao Lau
Region
87
4
Ender
Region
80
5
User
Region
77
6
User
Region
77
7
User
Region
76
8
Justin Lau
Region
76
9
User
Region
75
10
trini tan
Region
72
11
User
Region
72
12
Carol Liew
Region
69
13
User
Region
68
14
User
Region
67
15
User
Region
63
16
User
Region
61
17
gab tan
Region
61
18
User
Region
61
19
Sachin
Region
60
20
User
Region
58
21
User
Region
57
22
User
Region
57
23
Science Forward SG
Region
56
24
Tristy Trist
Region
56
25
User
Region
56
26
Germaine Koh
Region
54
27
Timothy Low
Region
52
28
User
Region
52
29
User
Region
52
30
User
Region
51
31
Kaiwei Lim
Region
50
32
User
Region
50
33
User
Region
50
34
Gaurav Goel
Region
49
35
User
Region
49
36
Karan Singh Madia
Region
49
37
User
Region
49
38
Pranad GANDHI
Region
48
39
User
Region
48
40
Zaighum Rajput
Region
46
41
User
Region
45
42
User
Region
45
43
User
Region
45
44
Kaiyu Gui
Region
44
45
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44
46
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Region
43
47
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Region
43
48
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Region
42
49
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41
50
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41
51
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40
52
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40
53
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Region
40
54
User
Region
40
55
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Region
40
56
User
Region
39
57
User
Region
39
58
User
Region
38
59
LIM YEE HONG HCI
Region
38
60
User
Region
37
61
User
Region
37
62
Aditya Hendrayana
Region
36
63
Boomboom Boom
Region
35
64
User
Region
35
65
User
Region
35
66
Zac
Region
35
67
User
Region
35
68
User
Region
34
69
Olivier Chenneveau
Region
34
70
User
Region
33
71
User
Region
32
72
User
Region
32
73
User
Region
31
74
User
Region
31
75
User
Region
30
76
User
Region
30
77
Daniel Lim
Region
29
78
User
Region
29
79
User
Region
29
80
User
Region
29
81
User
Region
29
82
User
Region
28
83
Adi Raturi
Region
28
84
User
Region
28
85
User
Region
27
86
User
Region
27
87
User
Region
26
88
Poh Jie
Region
26
89
User
Region
26
90
User
Region
26
91
User
Region
25
92
User
Region
24
93
User
Region
24
94
Z Z
Region
24
95
User
Region
24
96
User
Region
24
97
User
Region
24
98
User
Region
24
99
User
Region
24
100
User
Region
23
101
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Region
23
102
User
Region
23
103
User
Region
23
104
User
Region
23
105
User
Region
23
106
User
Region
23
107
User
Region
22
108
User
Region
22
109
Jing
Region
22
110
User
Region
22
111
User
Region
22
112
User
Region
21
113
User
Region
21
114
Natasha Weers
Region
21
115
User
Region
21
116
User
Region
21
117
User
Region
20
118
Matthew Ang
Region
20
119
User
Region
20
120
User
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19
121
User
Region
19
122
User
Region
19
123
User
Region
19
124
User
Region
19
125
Jiasheng An
Region
19
126
User
Region
19
127
DARKxLIGHT
Region
19
128
User
Region
18
129
Annie Fong
Region
18
130
Alex Chan
Region
18
131
AP
Region
18
132
User
Region
18
133
User
Region
18
134
User
Region
18
135
User
Region
18
136
User
Region
18
137
Puneet Gupta
Region
17
138
User
Region
17
139
User
Region
17
140
User
Region
17
141
User
Region
17
142
Jason
Region
17
143
Faith Pan
Region
16
144
User
Region
16
145
User
Region
16
146
User
Region
16
147
User
Region
16
148
Wilfred Ngia
Region
16
149
User
Region
16
150
User
Region
15
151
User
Region
15
152
User
Region
15
153
lim guan ying
Region
15
154
User
Region
15
155
Sidd
Region
15
156
User
Region
15
157
User
Region
15
158
User
Region
15
159
User
Region
14
160
User
Region
14
161
User
Region
14
162
User
Region
14
163
User
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14
164
User
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14
165
User
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14
166
User
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14
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User
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14
168
User
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14
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14
170
User
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14
171
User
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14
172
User
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14
173
User
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13
174
User
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13
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13
176
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13
177
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13
178
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13
179
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13
180
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13
181
User
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13
182
User
Region
13
183
Arkin Muthukumar
Region
13
184
User
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12
185
User
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12
186
User
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12
187
User
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12
188
User
Region
12
189
Minghao Wei
Region
12
190
User
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12
191
User
Region
12
192
User
Region
12
193
User
Region
12
194
User
Region
12
195
User
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12
196
User
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11
197
User
Region
11
198
User
Region
11
199
User
Region
11
200
User
Region
11
201
User
Region
11
202
User
Region
11
203
ISHA SANJAY SURVE
Region
11
204
User
Region
11
205
Johan Ramne
Region
11
206
User
Region
11
207
User
Region
11
208
User
Region
11
209
User
Region
11
210
User
Region
10
211
User
Region
10
212
User
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10
213
User
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10
214
User
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10
215
User
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10
216
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10
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10
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10
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10
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10
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10
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10
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10
224
User
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10
225
User
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10
226
User
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10
227
User
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10
228
User
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10
229
User
Region
10
230
User
Region
10
231
User
Region
10
232
User
Region
10
233
User
Region
10
234
User
Region
10
235
User
Region
10
236
User
Region
10
237
User
Region
10
238
User
Region
10
239
User
Region
9
240
User
Region
9
241
User
Region
9
242
User
Region
9
243
User
Region
9
244
User
Region
9
245
User
Region
9
246
User
Region
9
247
User
Region
9
248
User
Region
9
249
User
Region
9
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User
Region
9
251
User
Region
9
252
User
Region
9
253
User
Region
9
254
User
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9
255
User
Region
9
256
Amol Kaushik
Region
9
257
User
Region
9
258
User
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9
259
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9
260
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9
261
User
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8
262
Michelle
Region
8
263
User
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8
264
User
Region
8
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8
266
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8
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8
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8
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8
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8
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8
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8
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8
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8
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Andrew Thomas
Region
8
276
User
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8
277
User
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8
278
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Region
8
279
User
Region
8
280
User
Region
8
281
Gjay Martinez
Region
8
282
Beeeeacgh
Region
8
283
User
Region
8
284
Angela GUPTA
Region
8
285
User
Region
8
286
User
Region
7
287
User
Region
7
288
User
Region
7
289
User
Region
7
290
Over Power
Region
7
291
User
Region
7
292
ZX T
Region
7
293
User
Region
7
294
User
Region
7
295
User
Region
7
296
User
Region
7
297
KumCheong Chooi
Region
7
298
User
Region
7
299
User
Region
7
300
User
Region
7
301
User
Region
7
302
User
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7
303
User
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7
304
User
Region
7
305
User
Region
7
306
Mark Min
Region
7
307
User
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7
308
User
Region
7
309
User
Region
7
310
User
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6
311
User
Region
6
312
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6
313
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6
314
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6
315
Jay Er
Region
6
316
User
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6
317
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6
318
User
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6
319
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6
320
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6
321
User
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6
322
User
Region
6
323
Kyle
Region
6
324
Jonathan Leong
Region
6
325
User
Region
6
326
User
Region
6
327
Phi
Region
6
328
User
Region
6
329
Ken
Region
6
330
User
Region
6
331
User
Region
6
332
Nick Man
Region
6
333
Ophellia Lee
Region
6
334
User
Region
6
335
User
Region
6
336
User
Region
6
337
User
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6
338
User
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6
339
User
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6
340
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6
341
User
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6
342
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5
343
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5
344
User
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5
345
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5
346
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5
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5
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5
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5
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5
351
User
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5
352
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5
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5
354
User
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5
355
User
Region
5
356
Jolene Kee
Region
5
357
User
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5
358
User
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5
359
Kate Palenzuela
Region
5
360
User
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5
361
User
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5
362
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5
363
User
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5
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User
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5
365
User
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5
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User
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5
367
User
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5
368
User
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5
369
User
Region
5
370
Daniel Maínha
Region
4
371
User
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4
372
User
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4
373
User
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4
374
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4
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User
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4
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4
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4
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User
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4
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User
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4
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4
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Vera
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4
382
User
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4
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RainDear Gaming
Region
4
384
User
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4
385
User
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4
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4
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4
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4
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4
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4
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Iswarya P
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4
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jennnn
Region
3
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3
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3
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3
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3
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3
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3
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KM
Region
3
415
FundaMental Abacus
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3
416
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Region
3
417
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3
418
User
Region
3
419
User
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3
420
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3
421
User
Region
3
422
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3
423
User
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3
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Mayank Lokwani
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3
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3
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3
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3
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3
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3
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3
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3
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3
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3
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2
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Kris Berg
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2
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2
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Jisoo Kim
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2
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Amy Au
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2
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1
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1
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1
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1
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1
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1
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Richie Chew
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1
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1
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Yee Seng Gan
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A Web App for Mathematics Training

Do you want to be fast at mental math? Many people do, but the options for doing the necessary exercises are simply too cumbersome for all but the most dedicated of trainees. In physical fitness, many people are interested in training their bodies but allocating the time, energy, and money for it is a significant obstacle. Likewise, lugging around books and whatnot for math practice is a threshold that just doesn't meet the standards of modern life.

Training yourself to be skilled at mental math needs to be quick and convenient. mathtrainer.org is a web app that works in your browser rather than a program you have to download and install on your computer or phone. This allows users to try and use the app without having to install new software. As a web app, updates are also much simpler. There is no need to download endless updates—the website will always be the most current version.

You can access a web app from any device connected to the internet and equipped with a web browser, including smartphones, tablets, and desktop computers. Moreover, you are free to use whichever browser you prefer, including Google Chrome, Safari, Firefox, and others. Google Chrome is the recommended browser for the best maths training since it tends to lead the pack in supporting the latest web technologies.

Math Trainer is designed to offer a similar experience regardless of what you’re using to access it, whether it be Android, iOS, Windows, or another operating system. Though an on-screen touch keyboard will appear on mobile devices, you may prefer to use the app on a desktop with a keyboard. Hopefully the advantages of a web app for convenient mathematics training are apparent.

Another part of making the app easy to use is eliminating the need for signing up and logging in. Users can get started with their math training as soon as they click the start button on this page. After progressing to higher levels in the app, your progress is automatically saved so long as your return to the site through the same browser.


What's a Mental Math Tip?

A mental math tip is a sequence of steps that can be taken to solve a math problem in your head. Click the arrow below to see an example for the following problem:

÷
984
3
328

A tip like this one is available for every problem in Math Trainer, so there's always help if you get stuck. With enough math practice, you'll be able to predict what the tips will say—you'll have learned mental math!


Get Better at Mental Math

The ability to quickly perform mental calculations offers advantages in certain circumstances. But even without applications, getting better at mental math is a great way to stimulate one’s mind. It develops better number sense and intuition for quantifying the world around us. Practicing mental calculation will strengthen your foundation for learning more advanced maths topics.

Nonetheless, the tangible benefits of improving at mental math are many. It is certainly expected that educated people are able to do simple arithmetic without having to pull out a calculator. An inability to do so may reflect poorly on you, while being well-practiced in mental calculation will leave your contemporaries impressed. In many scientific and technical circles, mental math ability is even more highly regarded.

For students, mental calculation speed will often have a direct impact on math and science test scores. At all grade levels, it is not sufficient to know how to solve math problems when tests have a time limit on them. The highest-scoring test takers are able to answer questions both correctly and efficiently. Improving mental math skills will only benefit a student’s academic career.

Calculating the solution to an arithmetic problem in your head is often faster than pulling out a device to tell you the answer. For example, figuring out how much to tip a server at a restaurant is a straightforward arithmetic problem that many people are unable to perform without a calculator. By training your brain to solve basic math problems, you can save time in situations like these.

Mental math can also be relied upon when calculation devices are not available. Even with the conveniences of modern life, we occasionally find ourselves without access to our cell phones or other capable devices. A mind skilled in mental math is always available to you.

Finally, getting better at mental math enables a quick estimate and sanity check on results obtained from calculators. While computers are extremely reliable at solving math problems, there is always the risk of incorrectly inputting the problem to the computer. By getting better at mental mathematics, you will develop an intuition for whether the results of calculators make sense.

In fact, the ability to estimate is often sufficient to avoid using calculators altogether. While the use of computers is widespread, estimation is an increasingly valued skill in many industries. There are many situations where complex math will eventually be required, but a preliminary estimate is needed quickly. A major boost to productivity!


Use a Math Trainer

Mental math ability is a lot like physical fitness training. You may be out of shape in the beginning, but with diligent training you can and will improve. Initially you might not enjoy the exercise, but you will reap significant rewards for your effort. As you become more fit, you’ll begin to enjoy the activity much more. If you are serious about it, your mental calculation fitness could become a source of energy, galvanizing you to face the challenges of life with enthusiasm.

In physical training, you break down the fibers in your muscles during a workout session. Your muscles actually sustain tiny tears during resistance training exercises. While you rest afterwards, your body repairs the damage, rebuilding the fibers thicker and stronger.

A similar process is believed to occur for cognitive tasks. A 2016 study found "extensive evidence that brain-training interventions improve performance on the trained tasks".1 Therefore you can expect training your brain to answer mental math questions will lead to improved performance over time.

In the context of physical fitness, a "trainer" often refers to a trained professional who guides the workout and recovery process. Personal trainers are tasked with assessing a trainee's level of ability, prescribing an exercise regimen, and offering feedback as the training goes along. The word "trainer" could also refer to a system that automates the role of a personal trainer. Many aerobic exercise machines today offer interactive training programs with feedback and analysis of a user's performance.

A math trainer is needed for optimal math fitness. Like in physical fitness, the trainer should be compatible with users at a variety of skill levels and should guide them to the next level. It should give an accurate assessment of a user's strengths and weakness, as well as offer helpful feedback on where to focus one's efforts. Learning the ropes of mental maths with a math trainer should be a seamless, rewarding journey to ever-greater abilities.


Mental Calculation

Mental calculation, or mental math, is performing arithmetical calculations without the aid of tools or supplies. As opposed to using a calculator or pencil and paper, mental math is performed entirely in one’s head.

People use mental calculation when computation aides are not available, when it is faster to do so, or when they wish to practice math, show off, or participate in mental math competitions. Most people perform basic mental calculation using elementary arithmetic on a daily basis. An inability to calculate mentally is a serious obstacle to many common tasks.

In U.S. schools, mental calculation is taught only for the most elementary arithmetic, such as single-digit addition and multiplication of two numbers between 0 and 12. To solve addition problems involving multiple digits, you are taught to add columns of digits from right to left, carrying the tens digit if the column sum exceeds 9. For example, how would you approach this addition problem?

Example of two-digit
addition problem

If you were trained like many of us were, you’d add the right column to obtain 12. Since that’s two digits, you’d write the 2 under the right column and carry the 10 by writing a 1 above the left column. Finally, you’d add the two tens digits and the carried 1 to obtain the answer, 52.

To solve an addition problem mentally, it’s best to add the columns from left to right. In our example, you could add the tens digit of the second number, 30, to the first number, 14, to obtain 44. This is easier than the full problem because you’re just doing one mental calculation and tacking on the 4 from the 14 as the singles digit. Then you’d add the remaining ones digit of the second number, 8, to 44 to arrive at the answer, 52.

Which approach seems simpler to you? Can you do the first approach without pulling out a pencil and paper? It turns out the same advantages of left-to-right addition apply to much larger numbers as well. It’s unlikely that difficult addition problems can be solved right to left without needing to write it all out, which of course is more time consuming.

Mental math should be distinguished from the memorization of math facts such as multiplication tables. A foundation of memorized answers to simple math problems will make mental math easier, but performing maths in your head requires both memorized facts and the manipulation of numbers and operations to solve problems. This combination of skill and memory allows us to solve far more complex math questions than can be answered with readily-memorized math facts.

Many mental math tricks are specific to particular numbers or types of problems, usually dependent on the base of the number system used. In the decimal numeral system, for example, it is trivially easy to multiply by 10—just add a 0 to the end of the number. This mental math trick wouldn’t work in the hexadecimal numeral system, though, because the base is 16 instead of 10.

Therefore mental calculation is the ability to manipulate complex arithmetic problems in such a way that they can be resolved using simple memorized math facts.


Arithmetic

Arithmetic is the branch of mathematics concerning basic number operations: addition, subtraction, multiplication, and division. As kids, we are taught to do arithmetic because real-world math problems depend on a mastery of elementary arithmetic. Higher-level study of arithmetic and the integers, or whole numbers, is known as number theory.

Though the math kids initially study is arithmetic, the word is rarely used in this context anymore. Originally it comes from the Greek arithmos, meaning “number”. It has however been included in the “three Rs” of elementary Western education: reading, writing, and arithmetic.

There is evidence prehistoric humans were using arithmetic as hunter-gatherers. Archaeologists have uncovered a tally stick, believed to be over 20,000 years old, which may exhibit the earliest known sequences of prime numbers. An understanding of prime numbers, which are only divisible by themselves and the number 1, requires knowledge of the operation in arithmetic known as division.

From tally marks came base-10 numerals such as those used in Egypt over 5,000 years ago. Number systems based on 10 probably arose because humans have ten “digits” as fingers on their hands (or toes on their feet). A later advance in arithmetic was positional notation, which allowed the same symbols to represent different magnitudes depending on their position in the written number. These numeral systems allowed complex arithmetic to be communicated, recorded, and applied to the challenges faced by our ancestors.

The basic operation of arithmetic is addition. It combines two or more numbers into one, the sum of the terms. The terms can be added in any order, which is known as the commutative property of arithmetic. On a number line, the sum of two numbers is the total distance from zero covered by both numbers.

The inverse arithmetical operation of addition is subtraction. It finds the difference between two numbers. Subtraction is not commutative because the order of the numbers determines whether the answer is positive or negative. On a number line, the difference between two numbers is the distance between their positions.

A second basic operation of arithmetic is multiplication, which scales a number by another number. This second number is called a factor. Like addition, multiplication is commutative—you can change the order of the factors and still get the same answer. Multiplication on a number line can be viewed as adding the first number a total number of times equal to the second factor.

Finally, division is an arithmetical operation that is essentially the inverse of multiplication. Rather than scaling a number, it is divided into a number of pieces equal to the second number. Dividing by the number 0 is not defined in arithmetic because dividing something into zero pieces is impossible.

Basic arithmetic allows us to evaluate the answers to an unlimited number of mathematical expressions. Arithmetical expressions can be purely mathematical, as in 2 + 2, or they can represent quantities in the physical world, such as two items plus two more. Understanding the laws of arithmetic is tremendously powerful.


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