Squaring Numbers

 Multiplying Numbers

 Dividing Numbers

1. any by 0.125
2. 2 digits by 1 1/9
3. 2 digits by 1 1/8
4. 2 digits by 1 1/7
5. 2 digits by 1 1/6
6. 2 digits by 1 1/5
7. 2 digits by 1 1/4
8. 2 digits by 1 2/7
9. 2 digits by 1 1/3
10. 2 digits by 1 2/5
11. 2 digits by 1 3/7
12. 2 digits by 1 1/2
13. 2 digits by 1 3/5
14. 2 digits by 1 2/3
15. 2 digits by 1 3/4
16. 2 digits by 1 4/5
17. 2 digits by 2 2/9
18. 2 digits by 2 1/4
19. 2 digits by 2 1/3
20. 2,3 digits by 2 1/2
21. 2 digits by 2 2/3
22. 2 digits by 2 6/7
23. 2 digits by 3 1/8
24. 2,3 digits by 3 1/3
25. 2 digits by 3 1/2
26. 2 digits by 3 4/7
27. 2 digits by 4 1/6
28. 2 digits by 4 2/7
29. 2 digits by 4 4/9
30. 2 digits by 4 1/2
31. 2 digits by 5
32. 2 digits by 5 5/7
33. 2 digits by 6 1/4
34. 2 digits by 6 2/3
35. 2 digits by 7 1/7
36. 2 digits by 7 1/2
37. 2 digits by 8 1/3
38. 2 digits by 8 4/7
39. 2 digits by 12 1/2
40. 2 digits by 15
41. 2,3 digits by 16 2/3
42. 2,3 digits by 25
43. 2,3 digits by 33 1/3
44. 2,3 digits by 35
45. 2 digits by 37 1/2
46. 2 digits by 40
47. 2 digits by 45
48. 2 digits by 50
49. 2 digits by 62 1/2
50. 2 digits by 66 2/3
51. 2,3 digits by 75
52. 2 digits by 83 1/3
53. 2 digits by 87 1/2
54. 2 digits by 125
55. 2 digits by 166 2/3
56. 2 digits by 250
57. 2,3 digits by 333 1/3
58. 2 digits by 375
59. 2 digits by 625
60. 2 digits by 875
61. 3 digits rep./37+41
62. 6 digits rep. by 15873
63. 6 digits rep. by 7, then 13
64. 6 digits rep. by 13, then 11
65. 6 digits rep. by 7,11,13, subtract 101
66. 6 digits rep. by 37037 x 5
67. mixed numbers by 2
68. diff. of squares of 2 consec. 2-digit numbers
69. diff. of squares of 2 different 2-digit numbers
70. sqrt of squares of 2-digit numbers ending in 1
71. sqrt of perfect squares ending in 5

 Adding Numbers

 Subtracting Numbers

 Finding Percents

Calculation
Practice Exercises

   Dividing a 2- or 3-digit number by 33 1/3

1. Select a 2-digit number (progress to larger ones).
2. Multiply it by 3.
3. Move the decimal point 2 places to the left.

   Example:

1. The 2-digit number chosen to divide by 33 1/3 is 46.
2. Multiply by 3: 3 × 46 = 3(40 + 6) = 120 + 18 = 138
3. Move the decimal point 2 places to the left: 1.38
4. So 46 divided by 33 1/3 = 1.38.
   (If you divide by 33.3 using a calculator, you will not get the exact answer.)

   See the pattern?

1. If the 3-digit number chosen to divide by 33 1/3 is 650:
2. Multiply by 3: 3 × (600 + 50) = 1800 + 150 = 1950
3. Move the decimal point 2 places to the left: 19.50
4. So 650 divided by 33 1/3 = 19.5.

Practice multiplying left to right and this procedure will become an easy one - and you will get exact answers, too.