(10.) 4134 8104 3910 45 (11.) 2460 3782 3673 418 (12.) 3782 1856 1916 3061 (13.) 469 7206 39 6 2. What is the sum of 2213, 1123, 3201, 2112? 1. 3210 + 2136 + 3752 + 2331 ? 5. 154,632 + 54,231 + 16,302 + 2120 + 8023? 4. Find the sum of: (1.) (2.) (3.) (4.) (5.) (6.) 1. 888 + 777 + 666 + 555 + 543 + 735 = ? 2. 444 + 333 + 222 + 111 + 210 + 141 = ? 3. 000 + 999 + 234 + 423 + 924 + 287 - ? 4. 578 + 287 + 342 + 760 + 553 + 765 ? 5. 504 + 167 + 359 + 578 + 751 + 432 = ? 6. 105 + 483 + 142 + 263 + 351 + 109 ? = Add the foregoing both vertically and horizontally. 5. What is the sum of 37 +375 + 3754 + 37,546 + 64 + 645 + 4573 + 57,373? 6. Add $317.50, $610.10, $514.085, $6.16. 7. What is the sum of four hundred sixty-two, three thousand two hundred fourteen, seventy-nine thousand six hundred fifty-nine, two hundred eighty-four ? 8. What is the sum of eighteen dollars and five cents, fiftyone dollars, fifty-one cents, ten dollars and ten cents, eighteen dollars and twenty-four cents, thirty-five dollars ? 9. Write the following numbers with Arabic numerals and find their sum : DCCCCXXXVI., MDXVI., MMMMCCIV., CLIV., XCVII., CLXIX. 10. 4682 + 19,783 + 100 + 6402 + 178 + 19 = ? PROBLEMS. Let the pupil first indicate the solution of each problem by using the signs, + and = 1. A. owns 345 sheep, B. owns 295, C. owns 436, and D. owns 524. How many sheep do all own? Process Indicated. Process. Explanation. 345 ANALYSIS.— There are four flocks of sheep: A.’s = 345. B.'s 295. 295 C.'s 436. 436 D.'s 524. 524 In each number the unit is 1 sheep; hence the numbers 1600 are like and may be added. SYNTHESIS.—345 + 295 + 436 + 524 1600. Hence all own 1600 sheep. 2. How many acres are in three fields, containing respectively 23 acres, 34 acres, and 38 acres ? 3. A man bought a horse for $250, a carriage for $175, a harness for $74.50, a whip for $1.25, a carriage blanket for $3.45. What did he pay for all ? 4. A. bought 7590 pounds of pea coal, 3765 pounds of nut coal, 6834 pounds of stove coal, and 2505 pounds of bituminous coal. How much coal did he purchase ? 5. In a primary school there are 386 children in first grade, 258 in second grade, 237 in third grade, and 184 in fourth grade. How many pupils in the four grades ? 6. Spain has an area of 195,773 square miles ; France, 204,091 ; Switzerland, 15,922 ; Italy, 112,622. How great is the area of the four countries ? 7. The battle-ship “Oregon” sailed from San Francisco to Callao, 4,012 miles; from Callao to Sandy Point, 2,666 miles; from Sandy Point to Rio, 2,228 miles; from Rio to Bahia, 745 miles; from Bahia to Barbadoes, 2550 miles; from Barbadoes to St. Thomas, 346 miles; from St. Thomas to Key West, 1040 miles. Find the total number of miles she sailed. 8. The monthly pay of a major-general in the United States army is $625; of a brigadier-general, $458.33; of a colonel, $291.67; of a lieutenant-colonel, $250; of a major, $208.33; of a captain, mounted, $166.67; of a captain, not mounted, $150; of a chaplain, $125. Find total monthly pay of the eight officers. 9. In 1897 the organized military strength of the State of New York was 13,894 men; of Pennsylvania, 8521 ; of Illinois, 6260; of Ohio, 6004; of Massachusetts, 5154; of New Jersey, 4297 ; of California, 3909; of Georgia, 4450; of South Carolina, 3127; of Texas, 3023. What was the entire military strength of the ten States in 1897? 10. In 1890 the population of Cincinnati was 216,239; of Cleveland, 92,829; of Toledo, 31,584 ; of Columbus, 31,274 ; of Dayton, 30,473. How many inhabitants had these cities altogether in 1890 ? 11. A merchant received money for goods as follows: On Monday, $357.15; on Tuesday, $463.87; on Wednesday, $279.19; on Thursday, $318.67; on Friday, $687.27; on Saturday, $348.48. Find the total receipts. 12. A builder bought a lot for $650, built upon it a house costing $5845, a barn and carriage-house costing $1075.50; he paid for fencing $215.75, for grading $87.50. For what must he sell the property to gain $640 ? a 13. The provinces of Cuba, with the population of each, are as follows: Find the total population of Cuba. 14. The land forces of Japan are as follows : infantry, fiftysix thousand thirty-seven ; cavalry, VDCCLX; artillery, seven thousand 818; engineers and train, IVCCCXXVI. What is the total land force ? 15. January has 31 days, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31. How many days in a year? 16. If a school session closes on the 29th of June and opens again on the 10th of September, how many days' vacation will there be ? 17. What are the expenses of a factory for a year, if the manager receives $1850, the engineer $850, the fireman $650, the bookkeeper $800, the fuel costs $1600, the raw material $111,110, and the pay-roll of the other employees amounts to $55,000? 18. Add 2, 6, 8, 7, 1, 2, 8, 5, 3, 2, 8, 9. 19. Add IV., VII., II., V., V., II., IX., VI., II., VIII., VII., V. 20. A capitalist made the following deposits in a bank : August 4, 1897, $484.50; August 7, $985.25; August 10, $436.75. In a second bank as follows: August 14, $2657.76; a August 18, $1386.25; August 22, $2096.65. How much did he deposit in each bank? How much in both banks ? (1.) 21. 7651 (3.) 10,475 72,482 46,552 62,651 62,272 67,286 40,025 82,827 40,050 24,165 8923 4554 5421 6432 9888 8797 5032 8060 2134 (2.) 5005 4567 2299 9900 8877 7788 6655 5566 4433 3344 (4.) $453.48 4,938.78 85,473.89 3,457.96 835.47 53.49 9.87 82.75 875.39 48.34 (5.) 8410 9836 984 543 9758 8574 451 876 7864 5849 762 321 3250 8765 688 642 (6.) 6546 3210 785 156 5634 7654 696 321 3288 2188 785 564 7688 5861 978 643 (7.) 4828 3424 293 788 2763 5612 942 397 5945 8020 694 432 6131 9876 750 976 (8.) 595 579 8574 3250 386 984 5849 6546 429 451 8765 5634 543 762 3210 3288 |