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450. What is an angle? Vertex? Sides of an angle? 451. What is a right angle? A perpendicular? 452. What is an acute angle ? 453. An obtuse angle? Oblique angles? 454. What is a plane figure? A polygon? The perimeter? 455. Name the different kinds of polygons. 456. What is an equilateral polygon? 457. An equiangular polygon? 458. A regular polygon? 459. What is a triangle? 460. What is the base of a triangle, or of any other figure? 461. What is the altitude? 462. When the base and altitude of a triangle are given, how can the area be found? 463. When the three sides of a triangle are given, how can the area be found? 464. What are parallel lines? 465. What is a trapezium? 466. A diagonal? 467. A trapezoid? 468. The altitude of a trapezoid? 469. A parallelogram ? 470. The altitude of a parallelogram? 471. How can the area of a parallelogram be found? 472. The area of a trapezoid? 473. The area of a trapezium? 474. The area of any polygon? 475. What is a board foot? 476. How is lumber measured? 477. How if the thickness is less than an inch? 478. What is a right-angled triangle ? The hypothenuse? The base and perpendicular? 480. When the base and perpendicular of a right triangle are given, how can the hypothenuse be found? 481. When the hypothenuse and one of the other sides are given, how can the third side be found? 482. How can the circumference of a circle be found when the diameter is given? How the diameter when the circumference is given? 483. How can the area of a circle be found? 484. What are similar figures? What is the ratio of the areas of similar figures? 485. What is a Prism? 486. A Cylinder? 487. The altitude of a prism or cylinder? 488. How can the surface of a prism or cylinder be found? 489. How can the solid contents of a prism or cylinder be found? 490. What is a Pyramid? 491. What is the slant height of a pyramid? 492. What is a Cone? 493. What is the altitude of a pyramid or cone? 494. How can the contents of a pyramid or of a cone be found? 495. What is a frustum of a pyramid or cone? 496. How can the contents of a frustum of a pyramid or cone be found? 497. What is a Sphere? What is the diameter of a sphere? 498. How can the area of the surface of a sphere be found? 490. How can the contents of a sphere be found? 500. What are Similar Solids? What is the ratio of the contents of similar solids?

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1. If 8 barrels of flour cost $ 48, what will 11 barrels cost?

2. If a man sells a watch for § of its cost, receiving $ 40, what did it cost?

3. If a boy buys 3 balls at 5 cents apiece, 2 sticks of candy for 2 cents, a pound of nuts for 10 cents, and pays for them with a fifty-cent piece, how much change ought he to receive?

4. If by selling land at $80 an acre I lose 20%, how must I sell it to gain 40%?

5. A piece of sheeting shrank

of itself in washing, and

then measured 18 yards. How long was the piece before washing?

The oxen

16. Bought a chest of tea weighing 50 pounds for $25. What must I sell it for a pound to make 15 % ? If I sell it for 40 cents a pound do I gain or lose, and what per cent? 7. Bought a pair of oxen and a horse for $250. cost as much as the horse; what was the cost of the horse? 8. What is the interest of $8 for a year at 5% at 8% ? at 9% ?

9. If 4 men build of a rod of wall in an hour, how many rods will 3 men build in 8 hours?

10. What date is it 13 days after February 18, 1880?

11. How many kilometers in 18748 meters?

12. A boy bought some raisins for 28 cents, some figs for 7 cents, a comb for 6 cents, a brush for 5 cents, and gave the shopkeeper 50 cents. What ought the boy to receive in change?

13. If my agent sells $400 worth of goods at 2% commission, what is the amount of his commission?

14. What will 3 quarts of molasses cost at 50 cents a gallon?

15. If the price of land rises from $0.60 a square foot to $0.75, what is the per cent of rise?

16. A boy bought 2 hens at $ 0.46 apiece and paid for them with eggs at 4 for 7 cents, making up any fraction of an egg with money. How many eggs and how much money did the boy give for the hens?

17. How many liters will a cistern hold whose dimensions are 2 meters long, 8 decimeters deep, and 5 decimeters wide? How many kilograms of water? What part of a (metric) ton?

18. How many hours from 9.30 A. м., to-day, to 4.45 P. M., to-morrow?

19. What part of anything is 12% of it?

20. How much will 16 eggs cost at 20 cents a dozen?

21. How many days from April 3d to July 7th?

22. If a boy misses 20 out of 50 words, what per cent does he misspell? What ought his rank mark to be on a scale of 104 on a scale of 8 ?

23. Reduce 18 meters to millimeters; to centimeters.

24. What is the square of 3?

25. Which is the greater, the ratio of 5 to 2, or of 7 to 3?

26. What will 18 ounces of butter cost at 32 cents a pound? 27. What is the inverse ratio of 2 to 6?

28. What per cent of anything is of it? of it? of it? 29. What will 20 eggs cost at 18 cents a dozen?

30. How many feet in 8 yards?

31. At 64 cents a pound what is of a pound of tea worth?

32. In 515.4 liters how many hektoliters? centiliters?

33. If a boy has $0.50 and spends $0.10, what per cent of his money does he spend?

34. If 51 cents are divided equally among 3 boys, how many cents will each have?

35. 25 is 5% of what number? 10%? 12 % ?

36. At $0.125 a liter what must I

pay

for a kiloliter?

37. What is 331 % of $3? 16% % 12% 25 % ?

38. How many hours in 540 minutes?

39. A man being asked how many sheep he had, replied that if he had as many more, as many more, and 10 sheep, he should have 100; how many had he?

40. If I pay $185 a (metric) ton for sugar, what do I pay a kilo?

41. What date is it 19 days after July 17th?

42. What is 8% of $5? of $50 of $500! of $5000 ?

43. What is the ratio of 5 to 9?

44. In 6 (metric) tons how many kilos? how many grams? 45. If in a school of 300 scholars 95 % are present on Monday, what is the number present?

46. Travelling from Albany with the correct Albany time, at the end of the second day I found my watch 20 minutes too fast. Was I east or west of Albany? How many degrees?

47. What per cent of $40 is $5 $30!

$8? $10? $16? $25?

48. In 468473 deciliters how many milliliters? centiliters? liters hektoliters? kiloliters?

49. If land falls from $0.75 a square foot to $0.60, what per cent does it fall?

50. If a quantity of provision will serve 5 men 8 days, how long will it serve 4 men?

51. If I buy at $8 a kiloliter, what do I pay a liter?

52. If I sell for 75 cents a book which cost me 80 cents, what per cent do I lose?

53. If I sell a horse for which I paid $ 150 so as to gain 25 %, what do I receive for the horse?

54. If I buy calico at 10 cents a yard and sell at 12, what do I gain per cent?

55. How many eggs at 20 cents a dozen will pay for 4 pounds of raisins at 10 cents a pound?

56. If a collector takes $8 for collecting $400, what per cent does he take?

57. Sold 5000 pounds of sugar at 9 cents a pound and lost 10%. What per cent should I gain by selling it at 12 cents a pound?

58. A man paid $20 for a harness, and sold it for of what he paid. What did he get for it?

59. When 4% is lost on sugar sold at 12 cents a pound, what was the cost?

60. A man and his wife together used a barrel of flour in 4 months, but one lasted the woman alone 9 months. How long would a barrel of flour last the man alone?

61. A merchant loses 10% of his capital by bad debts, and one third of the remainder by a fire, and is then worth $12000. What was his capital previous to these losses?

62. A boy spent $0.25, which was 10% of all he had; how much money did he have?

63. What is the interest of $5 at 6 % for 2 years? for 3 years 6 months?

64. If I buy knives for $16 a dozen, and sell them for $2 each, how much do I gain per cent?

65. A merchant, owning of a ship, sold of his share for $4000; what was the value of the ship?

66. What is the amount of $10 for 2 years 6 months at 5 % ? at 8% ?

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