Common Divisors.

When several numbers are to be

divided by the same number, it is profitable to make a table of multiples of the divisor.

If, for example, 8476, 4093, 6298, 7647, 8643, 8786, etc., are all to be divided by 26, the student should make a table of multiples of 26, thus:

Exercise

1. Divide each of the following numbers by 32: 4608, 5698, 6336, 4678.

2. Divide each of the following numbers by 56: 2016, 2912, 3864, 4564.

3. Divide each of the following numbers by 64: 4224, 5888, 6786, 9075.

4. Divide each of the following numbers by 72: 5017, 6824, 9248, 9428.

5. Divide each of the following numbers by 84: 6234, 7280, 8294, 8762.

6. The normal monthly and annual temperature and precipitation, as published in the official records of the United States Weather Bureau, collected by the volunteer station at Redding, California, is as follows:

Find the average or mean temperature, and the total yearly rainfall.

7. A New York Central train made a record run Sept. 11, 1895, from New York to Buffalo, 436 miles in 407 minutes. What was the average speed per hour?

8. The oil-burner Santa Cruz in February-March, 1914, went from New York to San Francisco via the Straits of Magellan, a distance of 13,000 miles, in 47 days and 4 hours. What was her average rate per hour?

Review Exercise

1. Add 4362, 4761, 5847, 6842, 4687, 3291, 4076, 5124, 4822.

2. Add $57.60, $34.20, $16.15, $1.75, $ 4.20, $16.00, $ 42.50, $ 62.10, $ 4.85, $ 5.40.

3. From the sum of all the numbers greater than 500 in the following list, take the sum of all the numbers which are less than 500:

625, 732, 241, 357, 401, 562, 648, 321, 627, 438, 242, 742, 816.

4. A farm was purchased for $6525; a barn was built on it at a cost of $1880; a house for $2135; improvements were made to the extent of $ 875. What was the total outlay?

5. If a man drives his automobile at an average rate of 22 miles an hour for 8 hours a day, how far does he drive during June?

6. When the "Scott Special" left Los Angeles, Calif., July 9, 1905, and arrived in Chicago (2415.5 miles) July 11, having made the run in 44 hours, 54 minutes, what was the average speed?

7. A man pays $30 a month for rent and $18 a year for water. How much does he pay out for rent and water in 10 years?

8. The Mauretania in Sept., 1910, went from Queenstown to New York, 2181 nautical miles or knots, in 4 days, 10 hours, 41 minutes. What was her average speed in knots per hour?

9. If 160 acres of land are sold for $1000, what is the price per acre?

10. On Nov. 19, 1916, Ruth Law made a long-distance nonstop aeroplane record flight from Chicago to Hornell, N. Y., 590 miles, in 5 hours, 45 minutes. What was her average speed per hour?

11. When a New York Central train made a record run Jan. 1, 1903, from Albany to Buffalo, 302 miles, in 295 minutes, what was the average speed per hour?

TWENTIETH CENTURY LIMITED GOING SIXTY MILES AN HOUR

12. On June 15, 1919, Captain John Alcock and Lieut. Arthur Brown flew from St. Johns, Newfoundland, to Clifden, Ireland, a distance of 1900 miles in 16 hours, 12 minutes. What was their average speed per hour?

13. A farm of 600 acres is planted as follows: fruit trees, 210 acres; grain, 135 acres; pasture, 60 acres; berries, 40 acres; artichokes, 54 acres. The remainder is taken up by farm buildings and yard. How much is occupied by buildings and yard?

14. If ten books occupy on an average one foot of shelf room, how many shelves four feet long will it require to hold 250 books?

15. If there are on an average nine words to a line and 26 lines to a page, how many pages will be occupied by a 100,000word novel?

16. A boy pays $18.75 for a gun, $3.00 for ammunition, $ 6.25 for boots, $2.60 for a hunting-coat, $2.25 for a knife, and $1.00 for a hunting license. What is his total expenditure?

and a

half?

18. 2250 books are to be boxed. If the boxes will hold on an average 120 books each, how many boxes are necessary?

19. In the course of a day a street car made 1000 stops. At each stop the car was stationary, on an average, five seconds. How many hours, all told, were spent in stops?