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F. 1. 16-7-5396-7-5? 436-7-5?
2.23-8-7? 123-8-7? 463-8-73
3.903-8-1?333-8-720-6-8?
4. 100-6-83900-6-8? 640 -6-8?
5. 810. 6-8321-7-5?321-7-5?
6. 111-7-53911-1-5? 411-7-5?
7.54-9-63354-9-63814-9-6?
8. 304-9-6?104-9-6? 32-5-9?
9.232 5-93 912-5-93302-5-9?
10.822 -5-9? 25-7-1? 725-7-7?
11.925-7-7? 865-1-7?385-7-7?
12.21-5-13 101-5-73811-5-7?
G. 1.96 +8+9+7+6-8-9-5+7+6?
2. 32749-8-645-3-6-9+6+5?
3.903 -7-6+5 4+6+5 5-9-6+7?
4. 43846-9-5470 +6-9-7+ 80?
5.417+9+3 7-8-4

4-30 - 50 +8? 6. 888 +5+7+60-5-8-7-90 +7? 7. 937-9-8-20-300 + 100 +5+9? 8. 423 +8+5+4+ 200 -6-9? 9. 579+9+9+9+5-8-7+3+5? 10.88 +7+6-9-100 -4+7+6-8? 11.743-9-6-7-544-947-63 12.193 +8+6+5+7-9-4-3-748-9-77 13.210+7+3-8-5-9+7+6+8-7+3? 14.413-6-8-1-5-7-3-2 9-5-4. -3? 15.211-4-7-9-3-5+6+9+7+8+5+4? 16.14949—8+7-645-443-2+1+7+8? 17.167+8+9+6+ 80-30 +7-9-5-8-73 18.243-7-6+8+5-9-7+8+8-7-746? 19.321+9+4-6-7-8-9+10+7-5-6S-1-9?

20.872 +8-60 - 80 +6+8+7+3+949-5 -948-6?

H. l. There were 479 apples on a tree, but 6 of them fell off, and 9 of them were stoned off by a mischievous boy. How

many remained on the tree ? 8 were blown off by the wind, and 7 were beaten off by the rain. How many then remained on the tree? The owner now picked all but 9 of them. How many did he pick? Of those he picked, he sold 8, and gave away 7. How many had he left?

2. A teacher asked his pupils to add 143, 7, 9, 8, 6, 4, 7, 9, 2, 5, 8, 8, 3, 7, 5, 2, 9, 9, 4, 3, 8, 6, 10, 3, and 7 together. They all answered correctly. What was their answer ?

3. The same teacher asked a little girl named Susan to tell the remainders that would be obtained by subtracting successively from 428 the following numbers, viz.: 9, 7, 6, 3, 9, 4, 5, 8, 7, 6, 6, 6, 7, 7, 5, and 8. She answered right. What remainder did she name?

4. The same teacher wishing to obtain a new set of outline maps, the following sums were subscribed by his pupils for the purpose of purchasing them. By Benjamin Edmunds 40 cents, by Jacob F. Brown 50 cents, by Samuel W. Clapp 20 cents, by Edson W. Burr 30 cents, by Martha S. Price 20 cents, by Elizabeth Potter 20 cents, by Elizabeth Weston 9 cents, by Lemira A. Fish 8 cents, by Eunice M. Read 6 cents, by Annie S. Ireson 10 cents, by Francis W. Allen 7 cents, by Isabella E. Robinson 20 cents, by Caroline Tallant 8 cents, by Ira Copeland 9 cents, by Elisha Mann 9 cents, by Ira Moore 5 cents, by Edward Wellington 9 cents, by Bradford Tucker 80 cents, by Albert Boyden 90 cents, by John F. Barnard 60 cents, by Arthur Sumner 80 cents, by William James Potter 40 cents, by William Henry West 80 cents, by Lydia Dodge 30 cents, by Myra Sampson 20 cents, by Matilda Haven 20 cents, by Louise Cook 8 cents, by Ellis Holmes 9 cents, by Joseph Swain 3 cents, by Harry Keith 70 cents, and by Robert C. Metcalf 50 cents. How many cents were contributed by all ?

5. A baker left 94 cents' worth of bread at one place, 6 cents' worth at another, 20 cents' worth at a third, 8 cents' worth at a fourth, 2 at a fifth, 30 at a sixth, 7 at a seventh, 4 at an eighth, 9 at a ninth, 40 at a tenth, 5 at an eleventh, 8 at a twelfth, 7 at a thirteenth, and 9 cents' worth at a store. How many cents' worth did he leave in all ?

6. A lad, having 324 cents, spent 6 cents for pens, 8 for paper, 50 for a dictionary, 9 for a slate, 2 for India rubber, 9 for drawing paper, 20 for drawing patterns, 80 for a pair of shoes, 4 for apples, 6 for oysters, 2 for the mending of his sled, and 5 for shoe-strings. What had he left after each one of his purchases ? He afterwards lost 9 cents. What did he have left? He then gave 7 cents to a poor woman, earned 8, found the 9

which he had lost, spent 4, earned 20, and gave 40 for the mis. sionary cause. How much had he left ?

7. Abby had 143 chestnuts, and Sarah had 135; Abby gave 7 of hers to Sarah. How many had she left? How many did Sarah have ? Abby ate 3 of hers, and Sarah ate 1 of hers. How

many did each have left? Abby gave away 6, and Sarah gave away?. How many did each now have? How many would each have if Sarah should now give 8 to Abby?

8. A man bought a chaise for 136 dollars, and gave 6 dollars for having it repaired, and 9 dollars for having it varnished. How much did it cost him in all ? He sold it for 9 dollars less than the cost. What did he sell it for? With the money he received for the chaise he bought a horse. He paid 7 dollars for keeping him, and then sold him for 8 dollars more than he had paid for the horse and his keeping. What did he sell him for ?

9. A grain dealer had 678 bushels of oats. He afterwards bought 9 bushels at one time, 7 bushels at another, 8 at another, 6 at another, and 9 at another. He sold 6 bushels to one man, 9 bushels to another, and 8 bushels to another, bought 7 busbels from another, 5 bushels from another, and 8 bushels from another, and then sold 6 bushels to Mr. Mason, 9 bushels to Mr. Marsh, 8 bushels to Mr. Sampson, 5 bushels to Mr. Ford, 8 bushels to Mr. Cobb, 9 bushels to Mr. Cleaveland, 7 bushels to Mr. Wilkinson, and 8 bushels to Mr. Richardson. How many bushels did he then have ?

10. A peddler, who lived in a town 211 miles west of N. York, left home Dec. 1, 1851, on a peddling excursion. He travelled 8 miles towards the east on the 1st day of the month, 9 miles towards the west on the 2d, 8 miles towards the west on the 3d, 5 miles towards the west on the 4th, 9 miles towards the east on the 5th, 8 miles towards the east on the 6th, and, the 7th day being Sunday, he did not travel. He travelled 9 miles towards the east on the 8th, 8 miles towards the west on the 9th, 7 miles towards the east on the 10th, 6 miles towards the east on the 11th, 9 miles towards the west on the 12th, 8 miles towards the west on the 13th, 9 miles towards the east on the 15th, 5 miles towards the east on the 16th, 7 miles towards the west on the 17th, 4 miles towards the east on the 18th, 6 miles towards the west on the 19th, 8 miles towards the west on the 20th, 7 miles towards the east on the 22d, 6 miles towards the east on the 23d, 5 miles towards the east on the 24th, 9 miles towards the west on the 25th, 9 miles towards the west on the 26th, 6 miles towards the west on the 27th, 9 miles towards the

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east on the 29th, 8 miles towards the east on the 30th, and 9 miles towards the east on the 31st. How far was he from N. York at the end of the month ? How far was he from N. York when nearest to it? When the farthest from it? In which direction and how far from home was he on the 1st Sunday in the month ? on the 2d ? on the 3d ? on the 4th ? How many miles did he travel in all ?

11. He had 113 dollars with him when he left home. On the 1st day of the month he received 9 dollars and paid out 2, on the 2d he received 8 dollars, on the 3d he received 7, on the 4th he paid out 10, on the 5th he received 8 and paid out 3, on the 6th he received 10, on the 8th he received 9 and paid out 4, on the 9th he received 7, on the 10th he paid out 5, on the 11th he received 9 and paid out 4, on the 12th he received 8, on the 13th he received 7, on the 15th he received 5 and paid out 9, on the 16th he paid out 7, on the 17th he paid out 9 and received 1, on the 18th he received 8, on the 19th he received 10, on the 20th he received 10 and paid out 2, on the 22d he received 9 and paid out 5, on the 23d he received 8, on the 24th he received 10, on the 25th he received 9, on the 26th he received 7, on the 27th he paid out 4, on the 29th he paid out 9 and received 9, on the 30th he received 10, and on the 31st he received 8 and paid out 6. How many dollars did he have at the end of the month ? How many dollars did he receive during the month ? How

many
did he

pay

out?

SECTION VI.

A. 1. 20 + 70 + 80 ? 22 + 70 + 80 ? Solution. 22+ 70 92, + 80 = 172.

Note. It should be borne in mind that in all abstract examples, the pupil should be taught finally to solve the questions by naming only the results of indicated operations.

2. 50 + 90 + 20 ? 54 + 90 + 20 ? 154 + 90 + 20 ? 3. 80 + 30 + 70 ? 83 + 30 + 70 ? 483 + 30 + 70 ? 4. 20 + 70 + 80 ? 25 + 70 + 80 ? 325 + 70 + 80 ? 5. 30 + 80 + 70 ? 836 +80 + 70? 536 + 80 + 70 ? 6. 35 + 80 + 20+ 90 + 20 + 40 + 70 ?

7. 67+30+ 60 + 90 + 20 + 20 + 30 ? 8. 8+ 60 + 80 + 30 +50+10+ 90? 9.437 + 80 + 50 + 100 + 60 + 90 +60? 10.11+90+80+30+ 60 + 30 + 50? 11.347 + 80+ 60 + 70 + 80 + 90 + 200? 12.182 + 30 + 70 + 30 +60 + 20 + 90? 13.211 + 80 + 20 + 80 + 70 + 300 + 50 ? 14.23 + 70 +20+50+ 80 + 90 + 200? 15.726 +40+ 90 + 30 +20+30+ 60? 16.149 + 70 + 30 + 80 + 200 + 70 +50? 17. 237 +40+ 90 +60 + 20 + 70 + 80?

98,

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B. 1.170-80-30? 178. -80-30? Solution. 17880

30 : : 68. 2.140 60-20? 143-60-20? 643. -60. - 20? 3.220. -60-70? 223. .60 70? 523 60. 70? 4.610 -50-80? 613. 50-80? 213 -50-80? 5.338. -40-70638-40-70? 588 -40. -70? 6. 428-30-903528-30 . -90? 218-40. .70? 7. 821. 50-60-90-50 -60-90? 8. 411 70 -40-60-30 -70 -40? 9. 964-80-50-70-80-50 -70? 10.629. - 50-40-80-60-20 -60? 11.931-50-80-70-60-50 70? 12.314-30 -20-50-30-60 70 ?

C. 1. 124+65: Solution. 124+60 == 184,45,= 189; or 124, 184, 189.

2. 47 + 89? 63 + 85?87+ 263147 + 83 ? 3. 196 +87?349+84? 364+87? 459 +377 4. 664 +69545+833397+48?436 + 93? 5. 82 + 74+63?97 +82+54? 1314444 833 6. 824+37+5? 637+51+ 8? 128+15+833 7. 246 484491? 425+5+83387454+59? 8. 286 +944 73?823+7+62? 229+17+ 88? 9.143 + 78+ 643732 + 88 +973 245+38+ 73? 10.8374494913 837454+98? 823497+48?

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