1. How many seconds in 2 minutes? in 5 minutes? 2. How many seconds in 10 minutes? in 20 minutes? 3. How many seconds in 1 hour? in 2 hours? 4. How many minutes in 3 hours? in 5 hours? 5. How many hours in 2 days? in 3 days? 6. In 2 days and 12 hours how many hours? 7. In 6 weeks how many days? in 9 weeks? 8. How many weeks in 49 days? in 84 days? 9. How many weeks and days in 75 days? in 90 days? 10. How many hours in 3 days 10 hours? 11. In 36 months how many years? in 84 months? 12. How many days from January 1st to March 10th, inclusive? 13. How many days from April 10th to the 15th of June? 1. What cost 1 ream of paper, at 20 cents a quire? 2. What cost 3 dozen lemons, at 3 cents apiece? 3. What cost 2 gross of pens, at 5 cents a dozen? 4. At 7 dollars a hundred pounds, what will 2 barrels of pork cost? CHAPTER VI. FRACTIONS. 37. 1. WHAT is understood by one half, one third, one fourth, one fifth, &c.? ANS. When a number or thing, as a unit or an apple, is divided into two equal parts, each of the parts is called one half; when into three equal parts, each of the parts is called one third; two of the parts are called two thirds, &c. 2. How many halves in 1? 3. How many thirds in 1? 4. If a peach be divided into 2 equal parts, what is each part called? 5. If an orange be divided into 3 equal parts, what are the parts called? 6. How many halves in 4? ANALYSIS. Since in 1 there are 2 halves, in 4 there are 4 times 2 halves, or 8 halves. Therefore there are 8 halves in 4. 7. How many halves in 5? in 6? 8. How many halves in 7? in 7 and 1 half? 9. How many thirds in 3? in 4? in 5? 10. How many thirds in 7? in 8? in 9? 11. How many thirds in 6 and 1 third? in 6 and 2 thirds? 12. How many halves in 5? how many thirds? ANALYSIS. Since in 2 halves there is one whole thing, in 8 halves there are as many whole things as 2, the number of halves in 1, is contained times in 8, which is 4 times. Therefore, in 8 halves there are 4 whole things. 16. How many whole things in 12 halves? in 16 halves? in 24 halves? 17. How many whole things in 9 thirds? in 18 thirds? 18. How many whole things in 10 halves? in 12 thirds? in 21 thirds? in 20 halves? 19. How many half bushels in 3 bushels and 1 half? 20. John gave 6 peaches to his 2 brothers; what part of them did each have? 21. What is 1 half of 6? Therefore 3 is 1 half ANALYSIS. It is that number which taken 2 times will make 6; 2 times 3 is 6. of 6. 22. What is 1 third of 9? of 18? of 27? of 36? 23. What is 1 half of 8? of 12? of 18? of 22? 24. How can you take 1 half of an orange? 1 third? 25. How can you take 2 thirds of an apple? 26. William had 30 new pennies, and John had 1 half as many; how many had John? 27. If a pound of candles cost 15 cents, what will 1 third of a pound cost? 2 thirds? 28. George is 12 years old, and Mary is 2 thirds as old as he; how old is Mary? 29. If a barrel of flour cost 10 dollars, and a barrel of cider 1 half as much, what is the cost of the cider ? 30. If 3 tons of hay cost 27 dollars, what part of 27 dollars will 1 ton cost? 2 tons? 31. A boy, having 33 cents, spent 2 thirds of them; many had he left? how 32. Edwin gave 2 peaches and 1 half to his sister, and 1 peach and 1 half to his brother; how many peaches did he give to both? 33. A farmer, having 44 sheep, sold 1 half of them; how many had he left? 38. 1. What do you understand by 1 fourth? 3 fourths? 2. What do you understand by 1 fifth? 2 fifths? 3 fifths? 4 fifths? 3. What do you understand by 1 sixth? 3 sixths? 5 sixths? 4. How can you take 1 fourth of any thing? 1 sixth? 5. How can you take 3 fourths of any thing? 3 fifths? 6. How many fifths in 1? in 4? in 6? 7. How many fourths in 1? in 2 and 3 fourths? 8. How many sixths in 2? in 3 and 4 sixths? 9. In 4 and 5 sixths how many sixths? 10. In 8 and 3 fourths how many fourths? 11. In 7 and 4 fifths how many fifths? 12. Which is greater, 1 fourth or 1 fifth? 1 fifth or 1 sixth ? 13. How many times 1 in 8 fourths? in 16 fourths? 14. How many times 1 in 15 fifths? in 25 fifths? 15. How many times 1 in 24 sixths? in 36 sixths? 16. What is 1 fourth of 12? of 20? of 28? 17. What is 1 sixth of 18? of 30? of 42? 18. What is 1 fourth of 32? of 40? of 48? 19. What is 1 fifth of 10? of 20? of 50? 20. What is 1 sixth of 36? 2 sixths? 5 sixths? 21. What is 1 fifth of 40? 3 fifths? 4 fifths? 22. What is 3 fourths of 16? of 24? 23. What is 2 fifths of 10? of 25? 24. What is 3 sixths of 30? 5 sixths of 42? 25. If a ton of hay cost 12 dollars, what will 1 fourth of a ton cost? 2 fourths? 3 fourths? 26. If 5 bushels of apples cost 90 cents, what part of 90 cents will 1 bushel cost? 2 bushels? 3 bushels ? 27. When coal is 6 dollars a ton, what part of a ton can be bought for 1 dollar? for 2 dollars? for 5 dollars? 28. Bought a piece of land for 45 dollars; what is 1 fifth of it worth? 2 fifths? 3 fifths? 29. If you pay 30 dollars for one month's labor, what do you pay for 1 fifth of a month? for 1 sixth? for 5 sixths? for 4 fifths? 30. A man divided 48 cents equally among 6 beggars; what part of the whole did each beggar receive? what part did 2 receive? 3? 4? 5? 31. If in a basket of 54 eggs 1 sixth are bad, how many are good? 32. If a man earn 15 dollars a week, and spend 2 fifths of it, how much does he save? 33. A drover, having 60 sheep, sold 1 fourth of them at one time, and 1 fifth at another; how many had he left? 34. Rollin had 18 marbles, and gave 2 sixths of them to Martin; how many did he give Martin, and how many did he keep for himself? 35. If Harry bought 6 pounds of coffee for 1 dollar, what part of 1 dollar did 1 pound cost? 2 pounds? 3 pounds? 4 pounds? 36. When tea is 5 shillings a pound, what part of a pound can be bought for 1 shilling? 2 shillings? 3 shillings? 4 shillings? 37. If a barrel of pork cost 15 dollars, what will 2 thirds of it cost? 3 fifths? 38. A gentleman is 60 years old, and his wife is 4 fifths as old; how old is she? 39. Andrew is 18 years old, and his sister, Jane, is 5 sixths as old; how old is Jane? 40. Paid 36 dollars for 1 acre of land; what is 1 sixth of it worth? 3 sixths? 1 fourth? 3 fourths? 41. If you divide a barrel of flour equally among 5 poor families, what part of the barrel will 1 family receive? 2 families? 3 families? 4 families? 5 families? |