Leaderboard
Arkansas
Rank
Level
1
Steven Walker
Benton
76
2
Maaz Ahmad
North Little Rock
63
3
Nate Kinast
Bentonville
43
4
User
Bentonville
30
5
User
Texarkana
27
6
Daniel Bela Szerbak
Springdale
26
7
User
Conway
24
8
Maaz
North Little Rock
21
9
spactoast
Bauxite
19
10
User
Conway
18
11
User
Conway
17
12
Kimber Broom
Bauxite
17
13
Bethany Walker
Benton
17
14
User
Harrison
16
15
Harley Williams
Bauxite
15
16
User
Bauxite
15
17
User
Fayetteville
14
18
Joseph Hensley
Bauxite
14
19
User
Bentonville
13
20
User
Searcy
13
21
User
Jonesboro
13
22
User
Bauxite
12
23
William Adams
Bauxite
12
24
Tristan Heidelberg
Bauxite
12
25
User
Bauxite
12
26
trent
Harrison
11
27
User
Bauxite
11
28
User
Greenbrier
11
29
User
Conway
11
30
User
Bauxite
10
31
User
Fayetteville
10
32
User
Bauxite
10
33
User
Bauxite
9
34
User
Harrison
9
35
Brittni Riggs
Bauxite
9
36
User
Bauxite
9
37
User
Bauxite
9
38
User
Bauxite
9
39
Hadley Ayers
Bentonville
8
40
Allison Oliphant
Bentonville
8
41
User
Bauxite
8
42
Jeremy Bishop
Bauxite
8
43
User
Bauxite
8
44
Jackson Halpain
Bauxite
8
45
User
Bauxite
8
46
Jazer Olivo
Bauxite
8
47
User
Bauxite
8
48
User
Bauxite
8
49
Daniel Schwammlein
Bentonville
8
50
User
Bauxite
8
51
User
Bauxite
8
52
User
Fayetteville
8
53
User
Bauxite
8
54
User
Bauxite
8
55
Evan Jackson
Bauxite
8
56
User
Bentonville
7
57
User
Bauxite
7
58
User
Hamburg
7
59
Adrien Smallwood
Bauxite
7
60
User
Gentry
7
61
Bergen Hembree
Bentonville
7
62
Marlowe Hurst
Bentonville
7
63
User
Bauxite
7
64
spactoast
Bauxite
7
65
User
Harrison
7
66
User
Blytheville
7
67
User
Bauxite
7
68
User
Bentonville
7
69
User
Clarksville
7
70
User
Bauxite
7
71
User
Bauxite
7
72
User
Cabot
6
73
User
Bentonville
6
74
User
Harrison
6
75
Katherine Chrisco
Bentonville
6
76
Susanna Kelly
Bentonville
6
77
Finn Callander
Bentonville
6
78
Fiona Gray-Williams
Bentonville
6
79
User
Fort Smith
6
80
User
Jonesboro
6
81
User
Centerton
6
82
User
Fordyce
6
83
User
Bentonville
6
84
Trisha Kumar
Bentonville
6
85
User
Bauxite
6
86
User
Bauxite
6
87
User
Centerton
6
88
User
Benton
6
89
Julia Stephens
Bauxite
6
90
User
Bentonville
6
91
User
Centerton
6
92
User
West Memphis
6
93
User
Bauxite
6
94
Hannah Gills
Bauxite
6
95
User
Bentonville
6
96
William Rogers V
Bentonville
6
97
Kate Tindall
Bentonville
6
98
User
Centerton
6
99
User
Bauxite
6
100
User
Russellville
6
101
User
Bauxite
5
102
User
Bauxite
5
103
User
Bauxite
5
104
User
Bauxite
5
105
User
Bauxite
5
106
Paige Gilbert
Bauxite
5
107
User
Bauxite
5
108
User
Bauxite
5
109
Josh Coe
Dermott
5
110
User
Pine Bluff
5
111
User
Bauxite
5
112
User
Bauxite
5
113
noob
Bauxite
5
114
User
Bauxite
5
115
User
Bauxite
5
116
User
Bentonville
5
117
User
Bentonville
5
118
User
Bauxite
5
119
User
Centerton
5
120
User
Little Rock
5
121
User
Little Rock
5
122
User
Bauxite
5
123
delinna cheyanne joslin
Bauxite
5
124
User
Jacksonville
5
125
User
Bauxite
5
126
User
Bauxite
5
127
User
Bauxite
5
128
Daimian Whatley
Bauxite
4
129
User
Stuttgart
4
130
User
Stuttgart
4
131
User
Bauxite
4
132
User
Centerton
4
133
User
Bauxite
4
134
User
Bauxite
4
135
Yehia Abouelseoud
Bentonville
4
136
User
Bauxite
4
137
User
Bauxite
4
138
User
Bauxite
4
139
User
Harrison
4
140
User
Bauxite
4
141
User
Bauxite
4
142
User
Bauxite
4
143
User
Cabot
4
144
User
Bauxite
4
145
User
Fayetteville
4
146
Olivet Deschamps
Bentonville
4
147
User
Bauxite
4
148
User
Bauxite
4
149
User
Stuttgart
4
150
User
Centerton
4
151
User
Bauxite
4
152
User
Bauxite
4
153
User
Bauxite
4
154
User
Bauxite
4
155
User
Bauxite
4
156
User
Bauxite
4
157
Andrew Bostad
Bauxite
4
158
User
Harrison
4
159
User
Harrison
4
160
User
Conway
4
161
User
Greenbrier
4
162
User
Bauxite
4
163
User
Benton
4
164
User
Bauxite
4
165
User
Bauxite
4
166
Zachary Cole
Bauxite
4
167
User
Bentonville
3
168
User
Bauxite
3
169
User
Little Rock
3
170
Ramon Silvera
Fayetteville
3
171
User
Bauxite
3
172
Matthew Neal
Bentonville
3
173
lacey
Bauxite
3
174
User
Fayetteville
3
175
Maddison Layne
Bauxite
3
176
User
Bauxite
3
177
Trenton Maxey
Bauxite
3
178
User
Bauxite
3
179
User
North Little Rock
3
180
User
Bauxite
3
181
User
Greenbrier
3
182
User
Bauxite
3
183
User
Bauxite
3
184
User
Bauxite
3
185
User
Bauxite
3
186
User
Bauxite
3
187
User
Bauxite
3
188
User
Bauxite
3
189
User
Bauxite
3
190
Hattie Horton
Bentonville
3
191
User
Bentonville
3
192
User
Bauxite
3
193
User
Bauxite
3
194
User
Clarksville
3
195
User
Bentonville
3
196
Madelyn Smith
Bentonville
3
197
User
Bauxite
2
198
User
Bauxite
2
199
User
Bauxite
2
200
User
Bauxite
2
201
User
Bauxite
2
202
Jack Martin
Bentonville
2
203
User
Stuttgart
2
204
User
Bauxite
2
205
User
Bauxite
2
206
Julie Woodward
Strawberry
2
207
User
Greenbrier
2
208
User
Bauxite
2
209
User
Bauxite
2
210
User
Greenbrier
2
211
User
Greenbrier
2
212
User
Greenbrier
2
213
User
Greenbrier
2
214
User
Bauxite
2
215
User
Bauxite
2
216
User
Bauxite
2
217
User
Salem
2
218
User
Bauxite
2
219
User
Fayetteville
2
220
Amelia Abellan
Bentonville
2
221
Kayla McCarty
Bentonville
2
222
Atrail Gallo
Bauxite
2
223
User
Rogers
2
224
Zak Cabibi-Wilkin
Hot Springs
2
225
User
Bauxite
2
226
User
Bauxite
2
227
User
Bauxite
2
228
User
Bauxite
2
229
Tyson McGuire
Bauxite
2
230
Logan Dahlstrom
Bauxite
2
231
User
Stuttgart
2
232
User
Stuttgart
2
233
User
Bauxite
2
234
User
Stuttgart
2
235
User
Conway
2
236
User
Bauxite
2
237
User
Bauxite
1
238
Egg
Bauxite
1
239
User
Rogers
1
240
Aubree Whitmire
Bauxite
1
241
User
Greenbrier
1
242
User
Bauxite
1
243
User
Bauxite
1
244
User
Mulberry
1
245
User
Bauxite
1
246
User
Bauxite
1
247
User
Bauxite
1
248
User
Little Rock
1
249
User
Bauxite
1
250
User
Bentonville
1
251
User
Little Rock
1
252
User
Bauxite
1
253
Caleb Cessario
Bentonville
1
254
User
Bauxite
1
255
User
Bentonville
1
256
User
Bauxite
1
257
Hunter Greer
Bauxite
1
258
User
Bauxite
1
259
User
Bauxite
1
260
User
Bauxite
1
261
Duncan Myers
Bentonville
1
262
User
Bauxite
1
263
User
Bentonville
1
264
User
Bauxite
1
265
User
Stuttgart
1
266
User
Stuttgart
1
267
User
Stuttgart
1
268
User
Hot Springs
1
269
User
Bauxite
1
270
User
De Queen
1
271
User
Bauxite
1
272
Izabell Hunter
Bauxite
1
273
User
Bauxite
1
274
User
Little Rock
1
275
User
Bauxite
1
276
User
Bauxite
1
277
User
Conway
1
278
User
Bauxite
1
279
User
Bauxite
1
280
User
Pocahontas
1
281
User
Bauxite
1
282
User
Bauxite
1
283
User
Little Rock
1
284
User
Bauxite
1
285
Max Amad
North Little Rock
1
286
User
Harrison
1
287
User
Bauxite
1
288
User
Blytheville
1
289
User
Conway
1
290
User
Springdale
1
291
User
Greenbrier
1
292
User
Bauxite
1
293
User
Bauxite
1
294
User
Greenbrier
1
295
John Hood
Bauxite
1
296
User
Bauxite
1
297
User
Springdale
1
298
User
Greenbrier
1
299
User
Bauxite
1
300
User
Wilmar
1
301
User
Bauxite
1
302
User
Little Rock
1
303
User
Bauxite
1
304
User
Bauxite
1
305
User
Bauxite
1
306
User
Bauxite
1
307
User
Bauxite
1
308
User
Bauxite
1
309
User
Bauxite
1
310
User
Bauxite
1
311
User
Bauxite
1
312
User
Hot Springs
1
313
User
North Little Rock
1
314
User
Bauxite
1
315
User
Bauxite
1
316
User
Hot Springs
1
317
User
Bauxite
1
318
User
Hot Springs
1
319
User
Bentonville
1
320
Payton Hicks
Bentonville
1
321
Noah Brown
Bauxite
1
322
Raquel Henson
Bauxite
1
323
User
Bauxite
1
324
Staci C
Hot Springs
1
325
Shawn Yarbrough
Bauxite
1
326
User
Springdale
1

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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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