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SOCIAL HOURS

ARITHMETIC:

"GIVE IT UP

HOME GULTURE TEST EXERCISES.

1. What is Arithmetic and name the fundamental operations? 2. What is a perfect number? What are compound numbers? 3. How does the unit of a fraction differ from a fractional unit? 4. What is the standard unit of Value? Of Weight? Of Length? Of Surface? Of Density? Of Capacity? Of Angles? Of Time?

5. What is understood by the Metric system of measurement? [per ct. 6. Give a short method of computing simple interest at different rates 7. What is the interest on $4,842.50 for three years, four months, nine days, at six per ct.?

8. The time, rate per ct. and interest being given, how do you find the principal?

9. The time, rate per ct. and amount being given, find the principal. 10. The principal, time and interest being given, how do you find the rate per ct.?

[time?

11. The principal, interest and rate being given, how do you find the 12. In what time will any given sum double itself at six per ct. simple interest? At compound interest?

13. Knowing the face of a note and the rate, how do you find the present value?

14. Explain how distance is measured by time.

15. How do you find the difference in time corresponding to any dif ference in longitude?

16. How do you find the time of one place when the time at another place and their difference of time are known?

17. The difference in the local time of two places is two hours, eighteen minutes. What is the difference in longitude?

18. Albany is 73° 44' 50" West Longitude; San Francisco is 122° 26' 45". When it is noon at Albany what is the time at San Francisco? 19. If the dividend, quotient and remainder are given, how can you find the divisor?

20. What three figures, multiplied by four, will make exactly five? 21. What is that number of which the half, fourth and seventh added to three, equals itself?

[foot?

22. What is the difference between half a solid foot and a solid half 23. What is the difference between twenty four quart bottles and four and twenty quart bottles?

24. What are the dimensions of the average building brick?

25. What is the Gunter's chain and its length?

26. What is the length and number to the pound of ten penny nails? 27. What is the value of a ton of gold at $20.67 per ounce?

28. What is the difference between Troy, Avoirdupois, and Apothecary weight?

29. Which is the most profitable measure for the purchaser-Wine, Beer or Dry measure, the price per gallon being the same?

30. What is the Rule of Three or Simple Proportion? Compound Proportion?

31. If 8 men perform a piece of work in 24 days, in what time can 12 men perform it? Give the solution by Proportion and by Analysis.

32. If 8 men eat 64 lbs. of bread in 16 days, how many lbs. will 21 men eat in 6 days? Give the solution by Proportion and by Analysis. 33. A grocer instead of a true gallon, uses a measure one gill short; what is the true measure of one hundred of these gallons?

34. Fifteen men in thirty days of ten hours each build a wall four hundred feet long, five feet wide, and seven feet high; in how many days of eight hours each can twenty-five men build a wall eight hundred feet long, six feet wide, and eight feet high?

35. What is the effect of placing a bar over a letter in Roman Notation.

36. A merchant sold fifty ploughs at $75.00 each; on one half he gained 25 per ct.; on the remainder he lost 25 per ct. Did he gain or lose, and how much?

37. Thirty men can perform a piece of work in ten days, how many men must be added to perform it in three-fifths of that time?

38. Bought fifteen hundred dollars bank stock at 4 per ct. advance, and sold it at a discount of 21 per ct.; what was the loss?

39. From what was the sign $ derived?

40. Take 9 from 6, 10 from 9, and 50 from 40 and have 6 left.

41. A frog at the bottom of a well 30 feet deep is anxious to get out; he climbs up 3 ft. per day, but falls back 2 ft. at night; in how many days will he get up?

A. sold his at 3 for $5, At another time, A. took

42. A. and B. took each 30 pigs to market. B. at 2 for $5, and together they received $125. 60 sheep, which he sold as before at the rate of 5 for $10, and received but $120. What became of the other $5?

43. A man agreed to write for 30 days upon the following terms :For every day he labored he was to receive $3, and for every day idle he was to forfeit $1.50. At the end of this time, he received $76.50. How many days did he labor?

44. Jones was married at the age of 25. If he lives 5 years longer, he will have been married 50 years. What is his age?

45. A party of 8 young people agreed that three at a time should. visit the Centennial Exposition, repeating the visit each day so long as a different trio could be selected. How many days were required to complete the possible combinations of three out of eight?

46. For how many days can a family of eight persons seat themselves differently at dinner? Or, how many changes can be rung on seven bells?

47. 12 families of immigrants bought half a township of land at government price ($1.25). Having divided it equally, how many acres did each receive?

48. At 12 o'clock the hour and minute hands are together. When will they be together again?

49. At what time between 9 and 12 o'clock are the hour and minute hands opposite?

50. The head of a certain fish weighs 24 lbs. The tail weighs as much as the head and two-thirds of the body; and the body weighs as much as the head and the tail. What is the weight of the fish?

51. If John Ward finds a knife and sells it for 75 cts., what per cent. does he make?

52. If a man's cows have twenty fore-feet, how many cows has he? 53. A man having an eight-gallon measure of milk, sells 4 gallons.

He has an empty three-gallon and a five-gallon pail; how shall he divide the four gallons sold from the original eight gallons?

54. If fifty cats catch fifty rats in fifty minutes, how many cats are required to catch 100 rats in 100 minutes?

55. Name the Roman Numerals on the dial or face of your clock or watch, without looking at it.

56. By what method can you ascertain any number thought of by

another?

57. Three jealous husbands, A., B., and C., with their wives, being ready to pass by night over a river, find a boat which can carry but two at a time, and for want of a boatman they are compelled to row themselves over the river several times. The question is, how these six persons shall pass, two at a time, so that none of the three wives may be found in the company of one or two men unless her husband be present?

58. A countryman, having a fox, goose, and a peck of corn, came to a river and could carry but one over at a time; as no two were to be left together that they might destroy each other, he was "at his wits' end," for says he, "though the corn can't eat the goose, nor the goose eat the fox, yet the fox can eat the goose, and the goose eat the corn." How shall he carry them that they shall not destroy each other?

59. By what arithmetical process can you ascertain any one's age? 60. A hatter sold a hat for $8, and received in payment a $50 bill. Being short of change he called on a merchant near by, who accommodated him with small bills, so that the customer received his hat and $42 change. The next day the merchant discovered his bill to be a counterfeit and the hatter was compelled to borrow $50 of another friend to redeem it. The customer had left for parts unknown, and the hatter was left with the useless bill. What did he lose? $50 besides the hat, or $50 including the hat?

61. Three persons were disputing about their money. Says A.: "If $11 were added to my money, I should have as much as you both.” Replied B.: "If $11 were added to my money, I should have twice as much as you both." And says C.: "If $11 were added to my stock, I should have three times as much as you both." How much had each?

62. A gentleman being asked how old he was, replied: "The square of my age 60 years ago is double my present age." How old was he?