38. What is the greatest number that will divide all of these numbers, — 108, 144, and 168? 39. A workman receives $15.75 per week. He spends $3.25 for rent, $3.15 for groceries, $3.70 for provisions, $2.37 for clothing, $0.63 for luxuries, and deposits $2 in the bank. How much has he left? 40. At $75 per acre, what is the value of a lot of land 65 rods by 48 rods? 41. Four boys go camping for a week. They pay 50¢ a day for their tent, $1.60 a day for their living, 50¢ a day for their boat, and each pays 75 for car fare. How much did each pay for his outing? 42. Mr. Arthur R. Bean rents a house to Mr. Charles L. Roper for $18 a month. Make out a receipt for rent received for the month of July, 1912. 43. On April 10, 1911, Mrs. A. M. Baker buys the following goods from Gardner and Bassett: 31 yd. lawn at 20¢ a yard, 3 yd. table damask at $1.25 a yard, and 12 doz. towels at 121 each. Make out her bill. & 44. The stripes of the flag on the schoolhouse are 23 inches wide. What is the width of the flag? 45. A piece of cardboard 12 in. square is cut into pieces 3 in. by 12 in. How many? 46. A house lot is 68 ft. long and as wide. What is its perimeter? 47. A club bought 20 baseballs, paying at the rate of $15 a dozen. How much? 48. What are the prime factors of 168? 49. Change to lowest terms. 84 2 10 CROPS RAISED BY A STATE SCHOOL Written A state school raised the following crops on its farm. Find the value of each crop at the given rate. (Keep PART II ADVANCED ARITHMETIC NOTATION AND NUMERATION 1. In our system of writing numbers, how many units. of one order are required to make one unit of the next higher order? 2. What name is given to such a system of notation? 3. How many places are required to write ten in figures? One thousand? One thousand? One million? Using the symbols 4, 6, 8, 3, 2, write : 4. The largest number possible. Read it. 5. The smallest number possible. Read it. Separate into groups, read aloud, and then write in 22. The quantity of peanuts exported from the United States in one year was to Oceania, 789 pounds; to Asia, 1100 pounds; to Africa, 66,443 pounds; to South America, 334,992; to Europe, 1,497,625 pounds; to North America, 3,600,158 pounds. 23. In our country in a certain year there were 8244 establishments engaged in book and job printing with a total capital of $142,015,638. These establishments employed 87,746 persons and paid in wages $48,720,854. The total cost of materials used was $52,575,110, and the total value of finished products was $182,611,720. Write in figures : 1. Five thousand seventy-two. 2. Forty thousand nine hundred eighty. 3. Eight hundred sixty-seven thousand five hundred eight. 4. Two hundred thousand. 5. Two hundred two thousand. 6. Two hundred thousand two hundred. 7. Two hundred thousand two. 8. Eighty-six million twenty-seven thousand twentyfour. 9. Nine hundred seventy-eight million three hundred fifty-seven thousand seven hundred sixty-four. 10. Sixty million sixty thousand sixty. ROMAN NOTATION AND NUMERATION The Roman system of notation uses the following letters: IV X LCD 1. What value is assigned to each? 2. Read: II III XX XXX CC CCC MM 3. What effect is produced by repeating a letter? 4. Read VI LXI LX CX DC MC 5. What effect is produced by annexing a letter to one of greater value? 6. Read: IV IX XL XC CD CM 7. What effect is produced by prefixing a letter to one of greater value ? A dash over a letter increases its value a thousandfold. Thus, XX = 20,000; T = 100,000. 8. Read: XL XL LXX LXX D D 9. Write these letters so that they shall have one thousand times their ordinary value: I V XL CM 10. Write 1492 in Roman notation. 1492 1000+ 400 + 90 + 2 = 37. Elizabeth has a book bearing on its title page the letters MDCCCXII. In what year was it published? |