BOOK III

Oral.

I

REVIEW AND PREPARATION

PROBLEMS-GEOGRAPHY

1. How many bends does the river make between the two cities?

2. Taking each bend as a semicircle of radius 1 mile,

=

3. How many hours does it take a steamboat to go from one city to the other at the rate of 9.42 mi. an hour?

4. How many miles farther is it by boat than by rail between the cities?

5. This river, only a part of which is shown, drains an area equivalent to a rectangle 58 mi. long and 8 mi. wide; how many square miles of territory does it drain?

PROBLEMS-GEOGRAPHY

2

Written.

1. The approximate area drained by the river Rhine and its tributaries is represented by

this triangle; from the dimensions given find this area in square miles.

2. The area of the state of New York is 52,170 sq. mi.; does the Rhine drain an area greater or less than the area of that state? By how many square miles?

325 Miles

360 Miles

3. The approximate area drained by the Mississippi and its tributaries is represented by this quadrilateral; from the dimensions given find the area.

the United States to the nearest thousand is 3,026,000 sq. mi.; what part of this area does the Mississippi drain?

5. The area drained by the river Danube and its tributaries may

be represented by two trapezoids, one having bases 200 mi. and 500 mi. and altitude 300 mi., the other having bases 200 mi. and 500 mi. and altitude 600 mi. Find the area of this territory.

6. If convenient, bring data and compute other geographical areas.

Written.

PROBLEMS-DOMESTIC ECONOMY

3

1. A family canned 40 cans of fruit at an average cost of 173¢ a can. The same fruit would have cost 25¢ a can at the store; how much was saved by canning it at home?

2. From a sack of flour costing $1.20 a family made 100 loaves of bread. The other ingredients (yeast, salt, milk, etc.) cost 754, and the fuel for baking 604. If loaves of the same size and quality cost 5¢ each at the bakery, how much did the family save on 100 loaves?

3. A laborer earns $500 a year and pays out 15% of it for rent; what is the rent each month?

4. A mechanic earns $900 a year and pays out 20% of it for rent; what monthly rental does he pay?

The table shows suggested divisions of incomes:

NOTE.-$500 to $800 is meant to exclude $500 but include $800. Similarly in the other cases.

5. Find the numbers to fill the blanks of the table.

6. According to the table, how many dollars would a family with an income of $2,000 pay for food in 1 year ? For clothing? For miscellaneous expenses, that is, insurance, medicine, amusements, etc.? For higher life, that is, for charity, books, etc.?

7. Answer the same questions for an income of $800. 8. What monthly rental would a family with an income of $1,200 pay? What would be their weekly food bill? 9. Make and solve 5 other problems from the table.

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SHORT PROCESSES

Oral.

1. What part of 10 is 5? What is a short way to multiply a whole number by 5?

2. Multiply by 5 without writing the figures:

36; 18; 28; 49; 70;

136; 43; 476.

3. What part of 100 is 25?

multiply a whole number by 25?

What is a short way to

4. Multiply by 25 without writing the figures:

16; 17; 24; 40; 13; 19; 116.

5. 75 is what part of 100? If two ciphers are annexed to a whole number and of the result is taken, by what is the number multiplied?

6. Multiply by 75 without writing the figures:

12; 16; 40; 24; 20; 28; 56.

7. 125 is what part of 1,000?

ber be multiplied easily by 125?

How may a whole num

Illustrate the method.

How may a whole number be multiplied easily by 1.25?

Find the cost of:

8. 16 lb. of coffee at 25¢ a pound.

9. 36 cans of baking powder at 25¢ a can.

10. 84 cans of corn at 5¢ each.

II. 124 bottles of olives at 25¢ a bottle.

12. 82 doz. oranges at 50¢ a dozen.

13. 24 packages of rolled oats at 25¢ a package.

14. 136 Arithmetics at 75¢ each.

15. 48 chairs at $1.25 each.

16. 96 caps at 75¢ each.

17. 112 doz. teaspoons at $1.25 a dozen. 18. 320 pairs of skates at $1.25 a pair.

19. 444 pairs of slippers at 75¢ a pair.

PROBLEMS-DAIRY STATION

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Milk is shipped in cans from the farms to dairy stations in large cities, where it is bottled and distributed to consumers.

A teacher took her class to a dairy station and found that : (1) Milk was received from the dairymen in 10-gallon cans. (2) It was drawn from the railway station in loads of 24 cans each.

(3) It was put into pint or quart bottles by a bottling machine at the rate of 4 bottles a minute.

(4) The bottles were placed in crates containing 12 bottles each. (5) Some delivery wagons carried 16 crates.

(6) The dairymen who supplied the milk received 4¢ a quart. (7) It cost owners of the dairy station 24 a quart to handle the milk.

(8) The milk was retailed at 8¢ a quart.

Oral.

1. How many quarts of milk were there in each can shipped by the dairymen?

2. How many pint bottles would the milk from 1 can fill? 3. How many quarts are there in 10 crates of quart bottles? In 10 crates of pint bottles?

4. For how much does the milk from 1 crate of quart bottles retail?

5. What is the retail value of the milk from a 10-gallon can?

6. A family uses 2 quarts a day; the amount used in 30 days is equivalent to how many crates of quart bottles? Of pint bottles?

7. A boarding-house uses a crate of quart bottles daily; how many gallons does it use in a week?

Written.

8. What is the retail value of the milk in a wagon carrying 16 crates of quart bottles? Of one carrying 12 crates of quart bottles and 8 crates of pint bottles?

9. Make and solve other problems, using the data above.