Math Essentials for Competitive Exams

Math Essentials for Exams

Math Essentials for Competitive Exams

Having these fundamental math facts memorized will significantly boost your speed and accuracy!


I. Interactive Multiplication Table Generator

Enter a number below to generate its multiplication table up to 10.

Table will appear here.


II. Squares of Numbers (up to 30)

Memorizing these squares will save you valuable time in calculations.

  • 12 = 1
  • 22 = 4
  • 32 = 9
  • 42 = 16
  • 52 = 25
  • 62 = 36
  • 72 = 49
  • 82 = 64
  • 92 = 81
  • 102 = 100
  • 112 = 121
  • 122 = 144
  • 132 = 169
  • 142 = 196
  • 152 = 225
  • 162 = 256
  • 172 = 289
  • 182 = 324
  • 192 = 361
  • 202 = 400
  • 212 = 441
  • 222 = 484
  • 232 = 529
  • 242 = 576
  • 252 = 625
  • 262 = 676
  • 272 = 729
  • 282 = 784
  • 292 = 841
  • 302 = 900

III. Cubes of Numbers (up to 15)

These cube values are frequently encountered in various quantitative problems.

  • 13 = 1
  • 23 = 8
  • 33 = 27
  • 43 = 64
  • 53 = 125
  • 63 = 216
  • 73 = 343
  • 83 = 512
  • 93 = 729
  • 103 = 1000
  • 113 = 1331
  • 123 = 1728
  • 133 = 2197
  • 143 = 2744
  • 153 = 3375

IV. Square Root Approximations (up to 10)

These are common square root values rounded to a few decimal places, useful for quick estimations.

  • √1 = 1
  • √2 ≈ 1.414
  • √3 ≈ 1.732
  • √4 = 2
  • √5 ≈ 2.236
  • √6 ≈ 2.449
  • √7 ≈ 2.646
  • √8 ≈ 2.828
  • √9 = 3
  • √10 ≈ 3.162