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