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Middle School Math Competition Cram Sheet Cheat Sheet (DRAFT) by

Middle School Math Competition Cram Sheet has all of the important tricks and formulas you need on the MATHCOUNTS or AMC Series.

This is a draft cheat sheet. It is a work in progress and is not finished yet.

Exponents

Squares
Cubes
Powers of 2
11^2 = 121
1^3 = 1
2^0 = 1
12^2 = 144
2^3 = 8
2^1 = 2
13^2 = 169
3^3 = 27
2^2 = 4
14^2 = 196
4^3 = 64
2^3 = 8
15^2 = 225
5^3 = 125
2^4 = 16
16^2 = 256
6^3 = 216
2^5 = 32
17^2 = 289
7^3 = 343
2^6 = 64
18^2 = 324
8^3 = 512
2^7 = 128
19^2 = 361
9^3 = 729
2^8 = 256
20^2 = 400
10^3 = 1000
2^9 = 512
   
2^10 = 1024
 

Prime Numbers

2
61
149
3
67
151
5
71
157
7
73
163
11
79
167
13
83
173
17
89
179
19
97
181
23
101
191
29
103
193
31
107
197
37
109
211
41
113
223
43
127
227
47
131
229
53
137
59
139

Prime Factor­iza­tions

2024 = 2^3 × 11 × 23
2025 = 34 x 52
2026 = 2 x 1013
2027 = 1 x 2027; Prime Number
2028 = 22 x 3 x 132
2029 = 1 x 2029; Prime Number
2030 = 2 × 5 × 7 × 29
 

Propor­tions

Fraction
Decimal
Percent
1/2
.50
50%
1/3
.3̅̅
33.3̅ %
2/3
.6̅
66.6̅ %
1/4
.25
25%
3/4
.75
75%
1/6
.16̅
16.6̅ %
5/6
.83̅
83.3̅ %
1/8
.125
12.5%
3/8
.375
37.5%
5/8
.625
62.5%
7/8
.875
87.5%
1/9
.1̅
11.1̅ %
1/99
.0̅1̅
1.0̅1̅ %
11/99
.1̅1̅
11.1̅1̅ %
11/999
.0̅1̅1̅
1.1̅ %
101/999
.1̅0̅1̅
10.1̅ %
 

Pythag­orean Theorem

a2 + b2 = c^2