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