of road? 26. How many square feet in a piece of land 27 4 ft. ?

Page 102, I., problems 1 and 5.

27. Ata dollar a bushel, how many bushels of can be bought for 46 dollars?

28. At of a dollar a bushel, how many bu apples can be bought for 375 dollars?

Page 102, II, problems 1 and 5.

29. At of a dollar a yard, how many yards of cl be bought for of a dollar?

30. At of a dollar a yard, what part of a yard can be bought for of a dollar?

Page 102, III., problems 1 and 6.

31. If a rectangular diagram on the blackboard c 5 square feet and is of a foot wide, how long Make the diagram.

32. At $ a bushel, how many bushels of meal bought for $243 ?

Page 102, IV., problem 1.

33. A strip of land contains 325

rods wide.

How long is it?

square rods, an

Page 103, II., problem 1.

34. Five-sixths of an hour is what part of 5 hours?

Geometry.

200. CONSTRUCTION PROBLEMS. TRIANGLES.

C

a

1. Draw a triangle. Make the angle a, 45°.

b

Make the side ab 3 inches long. Make the angle b, 45°. Prove your work by measuring the angle c which should be an angle of

degrees.

Observe that if two angles of any triangle and the length of the included side* are given, the triangle may be drawn.

2. Draw a triangle making one of the angles 40°, another 60°, and the included side 5 inches long. The third angle should measure degrees. Prove your work by measur

ing the third angle.

Measure the sides carefully and observe that the longest side is opposite the largest angle and the shortest side opposite the smallest angle.

3. Draw several triangles of different shapes and sizes. Convince yourself by measurement with the protractor that the sum of the three angles of any triangle is degrees.

4. Draw several triangles of different shapes and sizes. Convince yourself by measurement with a ruler that the sum of two sides of any triangle is greater than the third side of the same triangle.

5. Attempt to draw a triangle whose sides are 6 inches, 3 inches, and 2 inches.

The "included side" is the side between the two given angles.

201. MISCELLANEOUS Review.

1. If of a cord of wood cost $4.50 how much will 27 cords cost at the same rate?

2. If 24 tons of coal cost $12.60, how much will 17% tons cost at the same rate?

10

3. A man owned 75% acres of land; he sold 23 acres. What fractional part of his land did he sell?

4. The sum of two fractions is 1; one of the fractions is. What is the other fraction?

5. The product of two fractions is ; one of the fractions is. What is the other fraction?

6. If a furnace consumes of a ton of coal a day, in how many days will 5 tons be consumed?

7. How many pounds of sugar at 44 a pound must be given for 27 pounds of butter at 23¢ a pound?

8. How many pounds of coffee at 3334 a pound must be given for 15 dozen eggs at 20¢ a dozen?

9. Which is the greater fraction or ?

10. Multiplying both terms of a fraction by the same number does not change the value of the fraction. Does adding the same number to both terms of a fraction change the value?

11. Dividing both terms of a fraction by the same number does not change the value of the fraction. Does subtracting the same number from both terms of a fraction change the value?

5

12. Change to a fraction whose denominator is 46.

11/1

3 71

13. Change to a fraction whose denominator is 15.