Cheatography
https://cheatography.com
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 |
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2^10 = 1024 |
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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 |
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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 % |
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