Calculusmental math

Mental math techniques

Tricks to calculate faster in your head, sorted by level. Each one comes with a worked example, step by step.

Level 2 · Medium 5 techniques

Remember

Making 100

For 100 minus a number, the tens go up to 9 and the units up to 10.

100 − 37 = 63

  1. 9 − 3 = 6
  2. 10 − 7 = 3
  3. 60 + 3 = 63
Remember

Subtracting by compensation

Add the same number to both terms to land on a round ten: the difference stays the same.

73 − 28 = 45

  1. 73 + 2 = 75
  2. 28 + 2 = 30
  3. 75 − 30 = 45
Remember

Multiplying by 5

× 5 is × 10, then half.

48 × 5 = 240

  1. 48 × 10 = 480
  2. 480 ÷ 2 = 240
Remember

Multiplying by 9

× 9 is × 10 minus the number once.

17 × 9 = 153

  1. 17 × 10 = 170
  2. 170 − 17 = 153
Remember

Multiplying by 11

For a two-digit number, spread its digits apart and slip their sum in the middle.

43 × 11 = 473

  1. 4 + 3 = 7
  2. 400 + 70 + 3 = 473