## BEATCALC:  Beat the Calculator!

Back to Calculation Tips & Tricks

 From B. Lee Clay

Squaring Numbers

1. beginning with 1
2. beginning with 5
3. beginning with 9
4. ending in 1
5. ending in 2
6. ending in 3
7. ending in 4
8. ending in 5
9. ending in 6
10. ending in 7
11. ending in 8
12. ending in 9
17. in the 20's
18. in the 30's
19. in the 40's
20. in the 50's
21. in the 60's
22. in the 70's
23. in the 80's
24. in the 100's
25. in the 200's
26. in the 300's
27. in the 400's
28. in the 500's
29. in the 600's
30. in the 700's
31. between 800-810
32. in the 900's
33. between 1000-1100
34. between 2000-2099
35. between 3000-3099
36. between 4000-4099
37. between 5000-5099
38. between 6000-6099
39. between 7000-7099
40. 3's and final 1
41. 3's and final 2
42. 3's and final 4
43. 3's and final 5
44. 3's and final 6
45. 3's and final 7
46. 3's and final 8
47. 3's and final 9
48. 6's and final 1
49. 6's and final 2
50. 6's and final 3
51. 6's and final 4
52. 6's and final 5
53. 6's and final 7
54. 6's and final 8
55. 6's and final 9
56. 9's and final 1
57. 9's and final 2
58. 9's and final 3
59. 9's and final 4
60. 9's and final 5
61. 9's and final 6
62. 9's and final 7
63. 9's and final 8
64. 1 and repeating 3's
65. 1 and repeating 6's
66. 1 and repeating 9's
67. 2 and repeating 3's
68. 2 and repeating 6's
69. 2 and repeating 9's
70. 3 and repeating 6's
71. 3 and repeating 9's
72. 4 and repeating 3's
73. 4 and repeating 6's
74. 4 and repeating 9's
75. 5 and repeating 3's
76. 5 and repeating 6's
77. 5 and repeating 9's
78. 6 and repeating 3's
79. 6 and repeating 9's
80. 7 and repeating 3's
81. 7 and repeating 6's
82. 7 and repeating 9's
83. 8 and repeating 3's
84. 8 and repeating 9's
85. 9 and repeating 3's
86. 9 and repeating 6's
87. 6-digits repeating
88. 2 rep./sq. of 1 digit

Multiplying Numbers

Dividing Numbers

Subtracting Numbers

Finding Percents

Calculation
Practice Exercises

Full List

### Squaring a 2-digit numberending in 6

1. Choose a 2-digit number ending in 6.
2. Square the second digit (keep the carry): the last digit
of the answer is always 6: _ _ _ 6
3. Multiply the first digit by 2 and add the carry
(keep the carry): _ _ X _
4. Multiply the first digit by the next consecutive number and
add the carry: the product is the first two digits:
XX _ _.

#### Example:

1. If the number is 46, square the second digit :
6 × 6 = 36; the last digit of the answer is 6
(keep carry 3): _ _ _ 6
2. Multiply the first digit (4) by 2 and add the carry
(keep the carry): 2 × 4 = 8, 8 + 3 = 11; the next digit
of the answer is 1: _ _ 1 6
3. Multiply the first digit (4) by the next number (5)
and add the carry: 4 × 5 = 20, 20 + 1 = 21
(the first two digits): 2 1 _ _
4. So 46 × 46 = 2116.

See the pattern?

1. For 76 × 76, square 6 and keep the carry (3):
6 × 6 = 36; the last digit of the answer is 6: _ _ _ 6
2. Multiply the first digit (7) by 2 and add the carry:
2 × 7 = 14, 14 + 3 = 17; the next digit of the answer
is 7 (keep carry 1): _ _ 7 6
3. Multiply the first digit (7) by the next number (8)
and add the carry: 7 × 8 = 56, 56 + 1 = 57
(the first two digits: 5 7 _ _
4. So 76 × 76 = 5776.