4. One half foot is what part of a rod?

5. Three and one half feet are what part of a rod 6. Ten and one half feet are what part of a rod?

7. Sixty-four rods are what part of a mile? 8. Ninety-six rods are what part of a mile? 9. One hundred eighty rods are what part of a mil

10. One and one half quarts are what part of a pec 11. Two and one half quarts are what part of a gall 12. Twenty-four quarts are what part of a bushel ? 13. Fourteen ounces are what part of a pound? 14. Seven and one half ounces are what part of a po 15. One and one fourth ounces are what part of a p 16. Six hundred pounds are what part of a ton? 17. Four hundred fifty pounds are what part of a tor 18. Six hundred twenty-five pounds are what part of a 19. Seventy-five square rods are what part of an acre 20. Forty-five square rods are what part of an acre? 21. One hundred square rods are what part of an acr

22. Thirty-two cubic feet are what part of a cord? 23. Fifty-six cubic feet are what part of a cord? 24. One hundred cubic feet are what part of a cord?

25. Seven and one half minutes are what part of an h 26. Forty minutes are what part of an 8-hour day? 27. Ninety minutes are what part of an 8-hour day?

as three times as many as John. How many has ea

and x + 3 x = the number they together have

But they together have 60.

Therefore John has 15 oranges and Henry has 45 ora

PROBLEMS.

1. The sum of two numbers is 275, and the grea our times the less. What are the numbers?

2. Robert has a certain sum of money and Harry ha imes as much; together they have $216.

ars has each ?

How many

3. One number is four times another, and their differ s 270. What are the numbers?

4. Peter has a certain number of marbles and Wi as 8 more than Peter; together they have 96 mar How many has each ?

5. Sarah has a certain number of pennies and her s as nine more than twice as many; together they have How many has each ?

6. Two times Reuben's money plus three times his mo quals 175 dollars. How many dollars has he?

Geometry.

208. CONSTRUCTION PROBLEMS-TRIANGLES.

a

C

1. Draw a triangle whose base, ab, is 3 inches long. Make the angle a, 55° and the angle b, 35°. The angle c should be degrees. Measure the three sides.

Observe that the longest side is opposite the greatest angle and the shortest side opposite the smallest angle.

2. Draw a triangle two of whose sides are equal. Measure and compare the angles opposite the equal sides.

Observe that a triangle, two of whose sides are equal, has two angles equal; and conversely if two angles of a triangle are equal, two of the sides are equal.

3. If two triangles have the three sides of one equal to the three sides of the other, each to each, do you think the two triangles are alike in every respect?

4. If two triangles have the three angles of one equal to the three angles of the other, each to each, do you think the two triangles are necessarily alike in every respect?

5. Draw two triangles, the angles of one being equal to the angles of the other, and the sides of one not being equal to the sides of the other.

6. Is it possible to draw a triangle whose sides are equal, but whose angles are unequal?

2. Butter that cost 25¢ a pound was sold for 29¢ a The gain was equal to what part of the cost? The ga equal to how many hundredths of the cost?

3. The taxes on an acre of land which was valued a were $12. The taxes were equal to what part valuation? The taxes were equal to how many hund of the valuation?

4. Mr. Jones purchased 500 barrels of apples. H by decay a quantity equal to 75 barrels. What part apples did he lose? How many hundredths of his

did he lose?

5. Regarding a month as 30 days and a year as 360 what part of a year is 7 months and 10 days? How hundredths of a year in 7 months and 10 days? How thousandths of a year? How many ten-thousandths

year?

6. One cord 48 cubic feet is what part of 4 cords 16 feet? Change the fraction to hundredths; to thousan to ten-thousandths.

7. One mile 240 rods is what part of 3 miles 160 Change the fraction to hundredths; to thousandths; to thousandths.

8. From a bill of $175 there was a discount of $14. discount is equal to how many hundredths of the amou the bill?

* Since 100 is 3 of 150, take of 60.

+100 is 1 times 663.