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119. EXPLANATION OF THE USE OF THE DRILL TABLES.
The object of the Drill Tables and Exercises which are found on the six following pages is to extend indefinitely practice in arithmetical operations without additional labor on the part of the teacher.
The exercises are not to be assigned in order, nor is any one pupil expected to perform them all; they may be used, however, like other examples. (See Notes on pages 16, 25, 35, and 48.)
The following illustration shows how they may be used for class drill, and each pupil have a different example.
Addition, 1. Let the members of the class number themselves 1, 2, 3, etc., to any given number up to 25; and let each member find his number in the left-hand margin of the table.
2. The teacher then gives a direction in this form : “Add A, B, and C.” (See Exercise 1, page 59.)
3. In obedience to this direction, each pupil will add the numbers that he finds expressed under the letters A, B, and C, and in the line of his own number. Thus, pupil No. 1 will add 65, 512, and 7901; No. 2 will add 34, 724, and 3053; and so on.
Thus a series of examples is given out at a single dictation, and the pupils are taught to work independently.
4. The key contains answers to all these examples.
Subtraction, Multiplication, and Division. By changing slightly the form of direction described above, the same table will afford abundant practice in the other fundamental operations. (See pages 59, 61, and 63.)
121. Exercises upon the Table.
1. Add A,* B, and C. 2. Add B, C, and D. 3. C plus D plus E plus F
equals what number? 4. A +B+C+D +16042 = ? 5. What is the sum of B, C,
D, E, F, and 61375? 6. Find the amount of A, B,
C, D, E, F, and 23456. In each column indicated by figures at the bottom of pages 58, 60, and 63, 7. Add the upper six numbers. 8. Add the upper ten numbers. 9. Add the upper fifteen num
bers. 10. Add all the numbers.
11. From C take B. 12. Subtract D from E. 13. Take E from F. 14. Find the difference between
C and E. 15. F minus C equals what
Multiplication. 16. Multiply B by 6. 17. Multiply C by 7. 18. Multiply D by 8. 19. Multiply E by 9. 20. Multiply B by A. 21. Multiply C by B. 22. Multiply C by D. 23. Multiply E by D. 24. Find the product of F by D. 25. Find the product of F by C.
26. What number added to the amount
of A and B will equal C? 27. Add together C, E, and the difference
between B and D. 28. Subtract C from 12304, and from the
remainder take B. 29. Multiply D by 1002, and from the
product take F. 30. Multiply C by 6; D by 7; E by 8;
and find the sum of the products. 31. Multiply B by 10; D by 11; and add
the products with C plus E. 32. A man having F dollars paid E dol
lars to one man and D dollars to another. How much did he have
left? 33. Bought a house for C dollars ; paid
B dollars for repairs ; then sold it at a loss of D dollars. How
much did I receive for the house? 34. A merchant had B barrels of flour.
He sold A barrels at $12 a barrel, and the remainder at $9 a barrel. How much did he receive for the flour?
* See the explanation, page 57.
35. How many are 8+f+g+h, etc. to z? 36. How many are 27 +h+i, etc. to z? 37. How many are 55 – f-g-h-i-j? 38. How many are 100 – 0-p, etc. to z? 39. How many are 7+f to n less o less
p less q ? 40. How many are h times i less j plus
k to z? 41. How many are 100 less A ? 42. Find the difference between 43 and A.
123. Exercises upon the Table.
43. Divide D by 4.*
Review. 67. How many more than C are B times B? 68. What number added to ten times the
61. How many are
46872 + A to D? 62. How many are
65478 + A to E?
63. From E take D. 64. Find the difference be
tween E and D x 10.
Multiplication. 65. Multiply D by C. 66. Multiply E by D.
amount of B and C will equal D? 69. A man owns three tracts of land ; the
first is valued at C dollars, the second at B dollars, and the third is worth twice as much as the second. How
much is the land worth? 70. By selling a house at C dollars I gained
12 times A dollars. What was the
cost? 71. If a farmer should purchase B acres of
land at A dollars per acre, and pay down C dollars, how much would he
then owe for the land ? 72. A man having C dollars spent B dollars
and lost A dollars. How much would
one third of the remainder be? 73. How many cows, at A dollars apiece, can
be bought for one fifth of ten times B dollars, and how many dollars will remain ?
74. How many are 6 +e+f+g, etc. to z?
8; 9. 81. Divide gh (64, 47, 83, etc.) by 3 ; by
Other dividends and divisors can be indicated, as jk by 7; no by 8; tu by 9; etc.
* See page 57, for Explanation of the Use of the Dril! Tahles.