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Level
1
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100
2
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100
3
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100
4
Albert
100
5
guerdin
100
6
Manup B
100
7
Guys, who is now a Trader? snd18@ic.ac.uk
100
8
Jamie Porter
100
9
Algorox
100
11
Gerd Wichers
100
12
Giovanni Casalegno
100
13
Sanprit Nayan
99
14
Winston C
99
15
Matthew peters
99
16
Kane Rex
99
19
LiviuRebreanu
99
20
I doubt people hire traders from here
99
21
Morning fire drill
99
22
Aryaman Garg
99
24
Eddie
98
25
Callan
98
26
Joonas Majuri
98
27
Sleep Amaris!!
98
28
Cyril Guzeev
98
29
Joonas Majuri
98
30
M Yu
98
31
Etash Guha
97
32
Mental math skills are overrated in trading
97
33
Annie Kim Myung-ho Jung
97
34
Yu Kai Tan
97
35
Emilia san
97
36
Vanderbly
97
37
Awesome Melody
97
38
Sawyer West
97
39
Justin Leemburg
97
40
Brian Caulfield
97
41
Leonid Didyk
97
42
Slavomira Rohacova
96
43
Giulio
96
44
zhujik mnbv
96
45
Dyian Lim
96
46
Dhruva Murari
96
47
G
96
48
K. Gee
95
49
Rupayan Mallick
95
50
Carl Letscher IV
95
52
Shivank Khard
95
53
James TSANG
95
54
Rich Caputo
95
55
Pavalosk
95
56
commandotaco
95
57
Aidan Lytle
94
58
Emily Castillo Martínez
94
59
Boris Volkovich
94
60
Tobias Bangsbo
94
61
Wagner Jose Barrios Tejeda
94
62
Tom Scotney
94
63
Rushabh Vora
94
64
Casper Kejser
94
65
Hayley Cassandra Hay Ee Yap
93
66
Eduardo Mora
93
67
Andrew Smiciklas [Valley HS]
93
68
Jack jack jack
93
69
ZH Liu
93
70
Gabba Gabba
93
71
Pratik Rathore
93
72
Trent
93
73
Yu Wen Lu
93
74
Michael Nguyen
92
75
Having a Quant Trading interview in a few days
92
76
Antonis Peronis
92
77
Weiyi Xiao
92
79
Sachin Dubey
92
80
ID ZHAO
92
81
Elliott M
92
82
Rahul Jain
91
83
kashmiriMirch
91
84
Karan Trivedi
91
85
Thanujeet Nanugonda
91
86
Derek Leung
91
87
Sandy Chung
91
88
Lou Dobbs
91
89
Meio
91
90
Zner Atsituab
91
91
Theo Lee
91
92
Looking for a Junior Trader position: xhe22@berkeley.edu
91
93
Osten Loo
91
94
Vince Anthony Santos Ong
91
95
isaac
90
96
Aayush Sacheti
90
97
Marcell Szilvási
90
98
Kendrick LAM
90
99
Rishabh Jain
90
100
Olle Rehnquist
90
101
Favian Ho
90
102
Rohan Bagchi
90
103
Quincy Cason
90
104
Matthijs van Driel
90
105
Guo Shi Bei
90
106
Brian Charles
90
107
Lucas Silva
90
108
Migs de las Llagas
90
109
Will
90
110
Liz Maassen
90
111
Jagat
89
112
Chris
89
113
Looking for a Junior Trader position: jl6953@stern.nyu.edu
89
114
Thomas Thybo
89
115
pancarte
89
116
Jarosław Kaczyński
89
117
B l
89
118
Michel Zou
89
119
imbahero NO one
89
120
SeptemberDU3
89
121
Longinus torwaldzki
89
122
Gregory Eck2856
88
123
Anant Tayal
88
124
ade rev
88
125
Nicolas 80
88
126
Kel Thuzad
88
127
François Ardèche
88
128
Marian Gianna Flores
88
129
Sophie Liang
88
130
luust
88
131
Ihor Riabchich
88
132
Anna
88
133
Vince Anthony Ong
88
134
Rudra Parikh
87
135
ChimChim
87
136
Sid Sridhar
87
137
Sunny Cho Arizona
87
138
LF Junior Trader Position: 1902010326@pku.edu.cn
87
139
Ozymandias
87
140
James HARTLEY
87
141
Daniel Madsen
87
142
Eric Apodaca
87
143
Eugene Lau
87
144
Billybeatbox
87
145
Martin Johan Magtibay Ocho
87
146
Sanchi Wankhade
87
147
Илья Горячев
87
148
Logi SMITH
87
149
Lam Kendrick
87
150
emerson
87
152
Mustafa Alelq
87
153
Leah
87
154
Owen Summers
86
155
PollosHermanos
86
156
Gilbert Zenner
86
157
Zizi
86
158
First Last
86
159
Vikalp
86
160
Trym Lyssand
86
161
Divanshu Anand
86
162
George Washington
86
163
Panneer
86
164
Marek Jopek
86
165
shivam Agrawal
86
166
Kirby Hassan
86
167
RUSHI
86
168
John Smith
86
169
Patricio Battilana
86
170
Michael Ho
86
171
Miguel Juncais
86
172
Joshua He
86
173
Umesh Meena
85
174
Joe Scarborough
85
175
Alberto Piva
85
176
Blank Ygcp
85
177
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85
178
HT
85
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85
180
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85
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85
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85
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Francesco Perniciaro Spatrisano
85
184
Vanilla D
85
185
Harshit Baranwal
85
186
Michelle Hosea
85
187
Matthew Chen
84
188
Zahid Ahmed
84
189
Janez Novak
84
190
Cr7pro
84
191
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84
192
Bob Dobbs
84
193
Jonathan
84
194
Daregs
84
195
j c
84
196
SRIJITA PAUL
84
197
RioXD DX
84
198
Lukas Johansson
84
200
jitender ahuja
84
201
Monica Cruz
84
202
Umar Hussain
84
203
R B
84
204
Erik Sier
84
205
Max
84
206
Ima Coder
83
207
abhishek sood
83
208
Brian Chao
83
209
Pepperminty
83
210
James Doehring
83
211
Yash Singh
83
212
Kimora Williams
83
213
Cameron Moats
83
214
Christian Petralito
83
215
Delage David
83
216
Abhishek Kaushal
83
217
dealpenguin2018@gmail.com
83
218
Aditya Kumawat
83
219
Dustin
83
220
robert
83
221
Ilrak Kerakeip
83
222
Mehak Dhiman
82
223
Dickson Wu
82
224
Jenn Jia
82
225
sv
82
226
Surya Shekhawat IIT ISM
82
227
Anton Kaprenin
82
228
Ozzy Dee
82
229
Kim Se Hun
82
230
bigblackclock
82
231
Dhirendra singh yadav
82
232
Mateusz Morawiecki
82
233
Tiffany Chu
82
234
Pi Pu
82
235
Ariel Pedernera
82
237
sebastian ronny
82
238
Ketut Artayasa
82
239
Bruno Hatchondo
81
240
sumit nayak
81
241
blghtning
81
242
Varun Nagar
81
243
Julien Olasiman
81
244
Koyomin
81
245
SUB TO PEWDIEPIWE
81
246
ADITYA KUMAR Singh
81
247
doktor smurf
81
248
ryan n
81
249
Travis Grady
81
250
P Stevens
81
251
Bobo
81
252
Steven Fan
81
253
Ajinkyasinh Rajput
81
254
Milan van de Meeberg
81
255
Ahmed Abdulaal
81
256
鄭凱仁
81
257
made sukma
81
258
Julian Carlos Gatchalian
81
260
Charlotte Roder
81
261
Ahsan Barkati
81
262
Stanislav Perumov
81
263
Dāvis Šterns
81
264
Meterzolf of Symbols
80
265
smallIndianClock
80
266
Frazer Smith
80
267
Gabriel Nguyen
80
269
Hugo Daniel
80
270
Andrew Komick
80
271
Aditya Raj
80
272
KD
80
273
Nicolas Varlot
80
274
Tuby Zong
80
275
Naël 1e6
80
276
Debabi
80
277
DraticalSA1
80
278
Manon L
80
279
Unter
80
280
Pipi Zhao
80
281
tothetop
80
282
Jeremy K. Stoltzfus
80
283
Will- Hole
80
284
almer hutapea
79
285
@Modoz_CR
79
286
Jimmie
79
287
Justin
79
288
Guttacaro
79
289
study
79
290
Samuel Ogunsanya
79
291
dotop
79
292
Jordan Katz
79
293
AVE
79
294
Steven Goldberg
79
295
Maayan Shav Artza
79
296
Hedy Li
79
297
Elliott
79
298
Andrew Couser
79
299
Max Holm
79
300
Utku Ozan ÇANKAYA
79
301
un deux
79
302
79
303
ishaan grewal
79
304
TheDecayedOne
79
305
Minas Alafasos
79
306
Jake Bloodsworth
79
307
Ich Rechne
79
308
Bublina
79
309
Eason Wu
79
310
siddhu salvi
79
311
chaitanya jaolekar
79
312
Tejas Shyam Padgelwar
79
313
Smith
79
314
Gaetan Cretton
79
315
Jonathan
79
316
Martin Emilov
79
317
Иван Вихрев
79
318
Shampoo
78
319
Surabhi Sinha
78
321
Arnold Smolders
78
322
Kartik
78
323
Megamath
78
324
Ypsilon
78
325
TBTR
78
326
raushan kumar
78
327
tony
78
328
Joseph Hernandez
78
329
Joseph Gelb
78
330
treedoeseverything
78
331
Rocco Di Vincenzo
78
332
M Wdl
78
333
Marcus Hodgart
78
334
Kyler Sood
78
335
first last
78
336
Corfaitch
78
337
bryan valdez calderon
78
338
Petralito Pet
78
339
George
78
340
Francesco D
78
341
Ian Veninga
78
342
Sphener
78
343
Favian Ho Four
78
344
Nicolas
78
345
JJ
78
346
Matan Gans
78
347
Chris Wallace
77
348
wadood
77
349
Harry Suen
77
350
David Y
77
351
Wouter Huisman
77
352
Michael 1
77
353
Victor
77
354
Kevin Wang
77
355
Stephen Cheng
77
356
Daniel Yip
77
357
Kevin Feng
77
358
Yanira Rose Arellano Solis
77
359
Harry Ho
77
360
RP Gaur
77
361
Sabrina Frias
77
363
Yanqi Huang
77
364
Soren Delplace
77
365
Aarush Sahoo
77
366
Sandro
77
367
Debabi
77
368
Anahi Marie Barrientos
77
369
Mason Lien
77
370
Aviral Somani
77
371
K Venkat Madhav
77
372
Viral Jhaveri
77
374
Jagoda
77
375
John Dear
77
376
Miljan Raykovich
76
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76
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Towel YouTube
76
379
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76
380
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76
382
Balazs
76
385
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76
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76
387
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76
388
Ethan Loftspring
76
389
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76
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76
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76
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76
394
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76
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76
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76
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76
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76
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76
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76
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76
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76
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76
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75
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73
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72
499
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72
500
Yohan Ninan
72

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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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