MISCELLANEOUS EXAMPLES. Addition, Subtraction, Multiplication, and Division. 1. George Washington was born in 1732, and was 67 years old when he died; what was the year of his death? Abraham Lincoln was born 77 years later than Washington; when was he born? President Lincoln lived 56 years; in what year was he killed? 2. In what number is 244 contained 28 times? 3. How many strokes does the hammer of a clock make from 1 till 12 o'clock, if it strikes only the hours? How many in a day? 4. A man died leaving $5200 to his wife and three children. The widow received $2500, and the children shared the rest equally. How much did each one receive? 5. A dealer proposes to ship 100000 eggs in boxes containing 40 dozen each. How many boxes will he require ? 6. One hundred and thirty-eight boxes of equal capacity contain 76176 eggs. How many dozen eggs in each box? 7. If I pay 454 for lead-pencils, at 34 each, how many pencils do I buy? How many if I pay 54 each? 8. A drover has $150. How many cows can he buy at $50 each? $25 each? How many could he buy at $45 each, and how much would he have left? 9. A son is born when his father is 33 years old. When the father is 36 years old, how much older is he than the son? How many times as old ? 10. Twenty-four sheets of paper make a quire. quires in 1824 sheets? In 1, as many sheets? In In 3 times as many? In 5 times as many? How many 14 as many? 11. How many hours are there in 9480 minutes? In twice as many minutes? (Always find your answer in the shortest and most convenient way.) 12. How many days are there in 14088 hours? In ten times 14088 hours? 13. Out of 796 logs 3980 planks were sawed. How many planks were cut from each log, supposing them to have been of equal size? 14. Four boys agreed to sweep a school-house two weeks for $24, but at the end of the first week, three of them gave it up, and left the remaining boy to complete the work. How much should the last boy receive? How much each of the others? 15. The managers of an orphan asylum spend $239 per year for each child. The expenses one year were $7170. How many orphans in the asylum that year? 16. The manager of a concert sold 534 tickets at $1 apiece, 936 tickets at $2 apiece, and 257 at $3 apiece. He gave òut 34 free tickets. The hall cost him $120 rent, and for gas and fuel he paid $19 extra. How much was left after all expenses were paid, including $2100 for the performers ? 17. A congregation intends to build a church, which is to cost $12000. The collections already made are $524, $726, $837, $632, $439. How much is lacking? 18. Mr. Brown earns $28 while Mr. Black earns $15. How much will Mr. Brown earn while Mr. Black earns $105 ? 19. Express in words the product of the sum and difference of 8765 and 5678. 20. A train of 9 cars has in each car 63 passengers, of whom 4 are children. How many passengers altogether, how many adults, and how many children? 21. January 4th, paid into savings bank, $14; February 1st, paid in $13; February 28th, drew out $11; March 14, paid in $19; March 31st, drew out $25; April 24th, paid in $17; May 3d, paid in $9; May 25th, drew out $15; June 1st, paid in $16. How much had I then in bank? 22. A number of boys in a work-shop earn $7 each per week, and an equal number of younger ones earn $5 each per week. How many boys are there if their wages amount to $132 per week? Suggestion. Suppose they work in pairs, an older and a younger boy in a pair, how much would a pair receive? How many pairs? 23. How many times can a 5 gal. pail be filled from a cask containing 150 gal.? How many times from a cistern holding 12 such casks? 24 casks? 24. On Tuesday the Opera was attended by 2486 persons; on Wednesday by 3574 persons. How much more money received on the second day than on the first, at $2 per ticket? 25. Which is the greater, and by how much, one fifteenth of 645, or one sixteenth of 992 ? 26. If a man takes 92 steps in a minute, how far will he walk in 3 hours if he advances 5 feet in taking 2 steps? At the same rate, how far would he travel in 2 days of 9 hours each ? 27. A railroad conductor makes two trips every day (except Sunday) from Philadelphia to New York and back. If these cities are 90 miles apart, what distance does he travel in a week? In a common year having 53 Sundays, if he has two weeks vacation? 28. How many times will a cart-wheel, 16 feet in circumference, revolve in going a mile (5280 feet) ? 29. A drover paid $780 for cows and sheep. Of this sum he gave $360 for 9 cows. If a cow cost 8 times as much as a sheep, how many sheep did he buy? 30. How many feet of telegraph wire are needed to connect two stations with a double line, the stations being 37845 yards apart? How many poles would be required if set 45 yards apart? 51. Suppose that you can lay 4 and 6 books along the edges of a table, as in this engraving; how many books can you lay on the table in one layer covering the top? How many times 6 books? How many times 4 books? 52. How many could you place on the table in 2 layers, 5, 7, 10, 12, 16, 24 layers? 53. If you could lay 9 books end to end along the side, and the width of the table were 5 times the width of the book, how many books could you put on the table in 1 layer, 7, 9, 25 layers ? 54. How many books can you place on a table that is twice the length and three times the width of a book, if you make the pile 15 books high? 55. How many books can you put in a pile 9 books long, 7 books wide, and 31 books high? 56. How many square blocks, 6 inches long and wide, can be piled on a platform 72 inches long and 48 inches wide, if the pile is made 30 blocks high? 57. This is the picture of a square board divided by lines into small squares, each supposed to be 1 How many inch long and 1 inch wide. How many 58. How many square yards in a lot 23 yards long and 10 yards wide? In one 17 yards long and 13 yards wide? 59. How many square yards in a lot 20 yards wide and 30 yards long? In one 180 feet long and 270 feet wide? (How many yards in 180 feet? In 270 feet?) 60. If the blocks represented in the engraving are an inch long, an inch wide, how many inches long and wide is the table? How many such blocks can you place in 1 layer if you cover the top of the table? 61. How many in 5, 7, 12, 9, 13, 4, 15, 6 layers? 62. Suppose the table to be 3 feet long and 3 feet wide, how many blocks, a foot long and a foot wide, can you place exactly on the front and left edges of the table? How many would exactly cover the top? How many feet high would you have to make the pile of blocks to make it as high as it is long and wide? How many blocks, each a foot high, would there be in such a pile ? 63. Could you tell without counting, how many blocks there would be in 1/3 of the pile? 3 ?-How many blocks would there be in % of one layer? 2/3 of one layer? 3 of 2 layers? 2/3 of 2 layers? 64. If with blocks, each 1 foot long, 1 foot wide, and 1 foot high, you make a pile 12 feet long, 10 feet wide, and 6 feet high, how many blocks will there be in one layer? How many in the pile ? 65. How many blocks, each an inch long, wide, and high, can be placed in a box measuring on the inside 12 inches in length, width, and depth? If it measures 24 inches each way? 36 inches each way? 66. How many cubic blocks, measuring a foot each way, can be sawed out of a block of stone measuring a yard each way? Note. A block measuring a foot long, a foot wide, and a foot high, is called a cubic foot. Cut a cubic inch out of a piece of wood, or make one of clay. Each side of a cubic inch is a square inch. Each edge is an inch long. |