Hamilton's Essentials of Arithmetic

1. Draw a square 1 inch long and 1 inch wide. Call it a square inch.

2. Draw on the blackboard a square 1 foot long and 1 foot wide. Call it a square foot.

3. Draw on the blackboard a square 1 yard long and 1 yard wide. Call it a square yard.

4. Separate, by points, each side of the square yard into 3 equal parts. Connect these points by straight lines. What is the size of each square? How many square feet are there in a square yard?

5. This picture shows a

One square

yard

square yard, smaller than it really is. How many square feet does it show?

9 square feet1 square yard 9 sq. ft. 1 sq. yd.

6. Measure your desk. Decide on a convenient scale and draw a figure to represent the top of your desk.

7. Let inch stand for 1 foot, and draw an oblong to represent the floor of a room 20 feet long and 16 feet wide.

8. Decide on a convenient scale and draw an oblong to represent a flower bed 10 feet long and 5 feet wide.

1. Draw an oblong 6 inches long and 4 inches wide. Divide it into square inches. How many square inches are there in one row? How many rows are there? How many square inches are there in the entire oblong?

2. Draw another oblong 3 inches long and 2 inches wide, and find, in the same way, how many square inches it contains.

3. Draw an oblong 5 inches long and 4 inches wide and find, in the same way, how many square inches it contains.

Notice that the number of square inches equals the product of the number of inches in the length by the number of inches in the width.

4. Find the number of square feet in the floor of your classroom.

5. How many square inches are there in a four-inch square? Illustrate.

6. How many square inches can you cut from a piece of paper 4 inches long and 4 inches wide?

7. Draw two cards each containing 12 square inches.

8. A garden bed is 6 feet long and 10 feet wide. How many square feet does it contain?

9. How many square inches are there in a scarf 50 in. long and 6 in. wide?

1. How many pounds of sugar are there in 6 bags of 25 lb. each?

2. There are 248 pages in a book.

When 89 pages

are read, how many pages remain unread?

3. A barrel of flour weighs 196 pounds. How much is left after 68 pounds have been used?

4. There are 32 quarts in a bushel. How many quarts equal 5 bushels?

5. There are 9 school months in a year. How many school months are there in 6 years?

6. How many dollars are there in a purse containing 3 dollars, 2 quarters, 3 dimes, and 4 nickels?

7. A horse goes 36 miles in 6 hours; a bicycle goes the same distance in 4 hours. Find the speed per hour of each.

8. There are 181 pupils on the second floor of a school building and 157 pupils on the third floor. How many pupils are there on both floors? How many more are on the second floor than on the third floor?

9. A bushel of shelled corn weighs 56 pounds. How many pounds are there in 6 bushels?

10. There are 144 pens in a gross. How many are there in 5 gross?

11. There are 24 sheets of paper in a quire. How many sheets are there in 6 quires?

12. How much do 6 pounds of prunes cost at 9 cents a pound?

3. Over how many of these spaces does the minute hand move in pass

ing around the face from XII to XII again?

4. How long is the minute hand in passing from XII to I? the hour hand?

5. Helen began studying at 15 minutes past 4 o'clock. She stopped at 20 minutes past 5. How long did she study?

6. Arthur played tennis from 2 o'clock on Saturday until half past 5. How long did he play?

7. How many minutes are there in 1 hr. ? in 2 hr.? in 4 hr.? in hr.?

8. When the hour hand is at XII, what is the time if the minute hand points to V? to III? to I?

9. Count the hours on the clock face from 9 o'clock, the opening of school, until 9 o'clock the next morning. How many are there? These 24 hours include both day time and night time.

The

The day always begins at 12 o'clock, midnight. The time from midnight to noon is called forenoon. time from 12, noon, to midnight is called afternoon. We write A.M. for forenoon and P.M. for afternoon. 8.20 A.M. is read 20 minutes past eight in the morning.

1. Read 6.10 a.m.; 4.25 a.m.;

6.30 P.M.; 10.00 P.M.

2. How many hours is it from 9 A.M. to 5 P.M.? from 10 P.M. to 6 A.M.?