16. The hind wheel of a carriage is 1 m high and the fore wheel is .8 m high. How many revolutions will the fore wheel make while the hind wheel is making 840 ?

17. A note for P1200, with interest at 8 %, is dated July 10, 1907. Payments are made as follows: Oct. 10, 1907, P300; Jan. 25, 1908, P 360; May 25, 1908, P240. Find the amount due July 25, 1908.

18. Divide P 101 into two parts having the ratio of to 1.

19. I sold goods at P1575, losing 61 %. Find the cost.

20. At 12%, my tax was P47.60. What was the value of my property?

21. Find the interest on P240.50 for 2 yr. 7 mo. at 12 %.

22. In what time will P 3200 yield P 198.40 interest at 8 % ? 23. What principal will yield P 2.56 in 1 mo. 10 da. at 10 % ? 24. At what rate will P1920 yield P 33.60 in 4 mo. 6 da.? 25. In what time will P 49.50 amount to P52.79 at 4 % ? 26. Find the compound interest on P 2000 for 4 yr. at 6 %. 27. Find the exact interest on P1080 from July 1 to Oct. 1 at 6 %.

31. A dealer sold a hat for P4.50 and gained 25%. What per cent would he have gained had he sold it for P 4.20 ? 32. Find the G. C. F. of 2970, 3150, and 5850.

33. Find the L. C. M. of 24, 32, 48, 64, and 80.

34. A farmer sold 25 carabaos at P 112 a head, and with the money he bought a piece of land 620 m by 600 m. He had P 10 left. What was the cost of the land per hektar ?

35. A dealer marked a carriage 25 % above cost.

He sold

it for P 375, which was at a discount of 25% from the marked price. What did the carriage cost?

36. A grocer paid P.90 per kilo for coffee, which he roasted, thus losing 10% of its weight. At what price per kilo must he sell the roasted coffee in order to gain 15% ?

37. If atmospheric pressure is 15 lb. to 1 sq. in., find the pressure on the top of a round table 30 in. in diameter.

38. P1850 is divided among three men, A, B, and C, so that A gets as much as B, and B gets as much as C. What is the share of each?

39. The hind wheel of a victoria is 1.35 m high and revolves 900 times in going a certain distance. If the fore wheel is 1.05 m high, how many times does it revolve in going the same distance?

40. If the rainfall on a certain day was 11 cm, how many tons of water fell on 8.2 Ha of land?

41. A, B, and C formed a partnership for one year, each putting in P 3500. At the end of six months A put in P1000 more, and C drew out P1000. If they gained during the year P 3780, what was each partner's share of the gain?

42. A bin 1.8 m wide and 1.5 m high holds 90 cavanes of rice. How long is it?

43. An iron cylinder 10 cm in diameter and 15 cm long weighs 9.18918 Kg. What is the specific gravity of the iron?

44. The weight of alcohol (sp. gr. .81) that fills a cubical tank is 414.72 Kg. What is the size of the tank?

45. A ladder 20 m long just reaches a window 16 m high. How far is the foot of the ladder from the building?

46. The slant height of a square pyramid is 15 cm, side of its base is 24 cm. Find its volume.

and one

47. The perimeter of a square park and the circumference of a circular park are each 94.248 m. Find their difference in area.

48. What is the present worth of a debt of P1417.50 due in 6 mo., if money is worth 10% ?

49. What was the list price of a piano, if with discounts of 10% and 10% I bought it for P810?

50. A note for P 1000, dated July 20, 1908, due in 4 mo., with interest at 9%, is discounted at a bank Sept. 16, at 8%.

the proceeds.

Find

51. A horse trader sold 20 horses for P1650, at a gain of 10%. What should have been his average price per head to gain 20% ?

52. Find the cost of 90 joists, each 15 in. wide, 3 in. thick, and 24 ft. long, at P 90 per 1000 feet, B. M.

53. If 4 men do as much work as 9 boys, how long will it take 27 boys to do as much work as 10 men can do in 12 days?

54. If I bought stock at 10 % discount, and sold it at 10 % premium, thus gaining P 840, how much money did I invest?

55. Find the true discount of a debt of P 810 due in 10 mo. 20 da., at 9%.

56. If a newsboy buys papers at P.33 a dozen and sells them at 5 centavos each, what is his gain per cent?

57. What is the area of an equilateral triangle whose perimeter is 120 cm?

58. Which is better and how much, to buy 6% bonds at 72 or 9% bonds at 1121?

59. What is the edge of a cube of lead (sp. gr. 11.4) that weighs 1425 g?

60. Find the square root of 13.3225.

Of 324.396121.

61. A man bought 400 cavanes of rice at P 4.25 a cavan, and sold it at P4.75 a cavan, on a 60-day note. If he discounted the note immediately at a bank at 8 %, how much did he gain?

62. The hypotenuse of a right-angled triangle is 35 cm and its perpendicular is 22 cm. What is its base?

63. At P3.20 per square meter, it will cost P313.60 to pave with concrete a court whose length is double its width. Find the length of the court.

64. I bought a bill of hardware amounting to P6240 on 6 months' credit, but was offered a discount of 6% for cash. How much would I have gained by paying cash if money was worth 8% ?

65. Two vertical poles are 4 m apart. One is 2 m high and the other 51 m. How long a line will connect their tops? 66. The area of a square is 9604 sq. m. its diagonal.

Find the length of

67. I bought 19 shares of manufacturing stock at 1283. On the same day I received a 7 % semi-annual dividend and sold the stock at 126, no brokerage. What was my gain or loss?

68. A ladder 20 ft. long stands 12 ft. from the base of a building, and its top rests against the wall 4 ft. below the eaves. Find the height of the eaves.

69. At P.12 per meter, how much more will it cost to fence a rectangular field 500 m by 125 m, than to fence a square field of the same area?

70. Find the capacity in 1 of a cubical tin can which will hold 89.562 Kg of olive oil. (Sp. gr. .92)

71. The capital stock of a company is P200,000. If I own 45 shares, what will be my assessment when the company loses P10,000 ?

EXAMINATION QUESTIONS

50. Written.

1. Define subtrahend, minuend, multiplier, dividend, divisor. 2. Add P43.75, P 175.08, P 1402, P 22.121, and P 100.081. 3. Multiply 22.041 by 4.007; 104g by 85g.

4. Divide 59,808 by 92; .12168 by 52.

5. Change to a decimal of three places;

・

6. Write in figures (a) twenty-two thousand and seventy-three hundredths; (b) CCXLIX.

7. How many kilos of tobacco at P.18 per kilo can I get for 7 cavanes of maize worth P1.63 a cavan?

8. Find the L. C. M. of 12, 18, 30, 35, and 42.

9. Give examples of improper fraction, like fractions, mixed number, complex fraction.

10. Find the G. C. F. of 125, 175, 825, and 975.

1. 24.2 x .0075÷.011 ÷ 2.25 = ?

16 x 65 × 60 × 80 × 3

2.

?

15 x 20 x 32 x 13 x 70

3. From of of 32 take of of 11.

4. A man spent of his money for a lot, of the remainder for a house, and had P 970 left. How much had he at first? 5. Define circle, circumference, radius, perimeter, diagonal. 6. Change to decimals and add: 17, 5152, 35, 2.

8. If .875 MT of coal costs P 11.20, what will 2.65 MT cost? 9. A man bequeathed of his estate to his wife, of the remainder to his son, and what was left, P2200, to his daughter. How much did the wife and son receive?