6. Tell why a square foot contains 144 square inches.

How is the number of cubic inches in a cubic foot found?

7. Compare 1 yard with 1 foot in two ways:

SUGGESTION. When the problems are related to one another, the answer to each should be kept until the series is completed.

6. 1. Edith invited 11 friends of her own age to a party to celebrate her eleventh birthday. What were the combined ages of her guests?

2. She bought invitation cards with envelopes at 24 each, and used 2-cent stamps. Find the cost of sending invitations. 3. Edith bought 2 loaves of bread @ 10 and cut from

each 16 slices.

Each slice made one sandwich. How much did the bread for the sandwiches cost? for each sandwich?

4. A chicken costing 64 and 3 lb. butter @32¢ were used for the sandwiches. What was the total cost of each sandwich? 5. Edith bought 4 dozen fancy cakes at 6 for 5¢ and a birthday cake for $1.25. Find her change out of $5.

6. She made 7 quarts of lemonade. How many glasses, pt. to a glass, did this allow for each child, and how many over? 7. One lemon was used for every pint, and one was left over. Find the cost of the lemons purchased, at 3 for 5 ¢.

8. If a quart of ice cream will serve 8 children, how many quarts were needed, allowing enough for 8 second helpings? 9. At 40 a quart, what was the cost of the 2 quarts of ice cream? How much did all the refreshments cost?

10. The children played at tossing rings on pegs. A ring on the center peg counted 20, but on any corner peg only 5. What was Albert's score, if he threw the ring 6 times on the center peg, and 15 times on the corner pegs?

11. Marjorie arrived at 3:15 P.M. and left at 5:42 P.M. How long was she at the party?

12. Robert and his uncle went from Albany to New York on the night boat. Robert bought a half-fare ticket, 75, and his uncle a full-fare ticket. They bought a stateroom ticket for $2. How much did they pay for tickets?

13. Other expenses of the trip were: dinner, $2.25; magazines, 40; Panorama of the Hudson, $1; 15 souvenir post cards at 3 for 10; morning paper, 54. What was the sum of these expenses?

14. Find the whole cost of the trip.

15. The purser told Robert's uncle that there were 1600 passengers on board that night; of them paid full fare ($1.50) and paid half fare. The rest were steerage passengers and paid $1 each. Find the receipts for fares.

16. The staterooms were all occupied. The boat had 110 @ $1, 200 @ $2, 30 @ $3, 2 @ $4, 10 @ $5, and 4 @ $6. What were the receipts for staterooms?

17. Find the receipts from 182 cabin berths at 50 each. 18. During the trip 396 meals were served at an average price of $1.25 each. Find the receipts of the dining room.

19. It costs 5 to check an article, and the following articles were checked: 138 suit cases, 97 overcoats, and 48 hand satchels. What were the receipts of the check room?

20. The steamer carried freight that night as follows :

What were the receipts for freight?

21. Find the total receipts from fares, staterooms, cabin berths, dining room, check room, and freight.

22. If the average salary of each man employed was $580 for a season of 290 trips, what was the amount paid the entire crew of 135 men for one trip?

23. If the receipts of the dining room amounted to $495 for the trip and the cost of the supplies was of that amount, how much did the supplies cost?

24. The steamer uses 35 tons of pea coal a trip. Find the cost at $3.60 per ton.

25. If 9 gallons of lubricating oil are used in the engine room on one trip, find the cost at 67 per gallon.

26. Find the cost of the cotton waste used, 8 pounds at 91 a pound.

27. It took 45 men 9 hours to unload and reload the freight. Find the cost, if each man received 30 per hour. 28. Find the total cost for wages of crew, dining room supplies, coal, lubricating oil, cotton waste, and handling freight. 29. The distance from Albany to New York is 143 miles. If the steamer makes the trip in 10 hours, find its rate per hour.

30. If the same steamer sails at the rate of 13 miles per hour in returning to Albany from New York, how much longer does it take for the return trip?

PROG. COMPL. AR.- 2

NOTATION AND NUMERATION

7. The people of Europe first learned the use of the figures 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 from the Arabs.

These ten figures are therefore called the Arabic numerals. The figure O, representing no value and used to fill vacant places, is called naught, zero, or cipher. The others are significant figures.

8. The method of representing numbers by means of the ten Arabic numerals is called the Arabic notation.

9. Any method of naming or reading numbers is called numeration.

10. 1. Count by ones to 9; by tens to 90; by hundreds to 900; by thousands to 9000.

2. Ones are called units of the first order or simply units; tens are called units of the second order; hundreds are called units of the third order; and so on.

11. In the Arabic notation:

(1) The greatest number of units of any order is nine.

(2) Therefore ten units of any order are written as one unit of the next higher order.

The Arabic notation, based on the number ten, is often called the decimal notation, from the Latin word decem, meaning ten. 12. 1. Read: 8, 28, 46, 104, 208, 500, 987, 1000.

If you have read the numbers correctly, you have illustrated these three facts about reading numbers:

(1) The figure 0 is not read.

(2) The word "and" is not used in reading integers.

(3) Tens and units and also hundreds, tens, and units are read together, as units.

Thus 987 is not read 9 hundreds, 8 tens, 7 units. It may be read “nine hundred eighty-seven units," but the word "units" is usually omitted.