COMPARING FRACTIONS ORAL EXERCISES 1. If we try to find the sum of 2 spellers, 5 readers, and 3 arithmetics, the answer will not be spellers or readers or arithmetics, but will be books. We can add only such things as have the same name. 2. In the same way, if we find the sum of answer will not be halves or thirds. We know 1 = 2; then + 2 and, the = 3 and 3. Look at the oblongs and tell the following sums and $1, what part of a dollar have I left? 7. If of a pound of candy is worth 20 ct., what is of a pound worth? 8. A boy spent $1 for a hat and $1 for collars. How many dollars did he spend in all? 9. In an orchard of 27 trees, are pear trees. How many pear trees are there? 1. How many quarts in a gallon? How many pints in a quart? How many pints in a gallon? 2. The smallest measure in the picture is called a gill. There are 4 gills in a pint. How many gills in a quart? 3. How many quarts in 4 gal.? in 41 gal.? in 5 gal.? 4. Out of a three-gallon cask of sirup I can fill a gallon jug and how many quart jars? how many quarts? 6. How many gills are there in 3 pints? in 5 pints? 7. Ruby's mother buys a quart of milk a day. In 30 days she will buy how many quarts? how many gallons? 8. At 10 ct. a quart, what is the cost of 1 gallons of cider? 9. If we burn a pint of kerosene in a day, how many days will a gallon of kerosene last? = 10. 3 pt. + 4 pt. + 2 pt. how many quarts? 11. How many quarts in 2 gal. 1 qt.? How many pints in 3 qt. 1 pt.? 12. How many gills in 1 pint 2 gills? in 1 pint 3 gills? 13. How many pints in 1 gal.? How many gills in 8 pt. ? 14. We now know the following 15. For short we write gi. for gill or gills. WRITTEN EXERCISES 1. How many feet in 3 yd. 2 ft.? in 4 yd. 1 ft. ? in 6 bu. 1 pk.? 3. How many square feet in 1 sq. yd. 2 sq. ft. ? 4. How many minutes in 2 hr. 15 min. ? 5. How many hours in 1 da. 6 hr. ? in 2 da. 3 hr. ? 6. Think of a square yard. Draw a picture of it. The perimeter of 1 square yard equals how many feet? 7. What will 31 yards of ribbon cost at 10 cents a yard? 8. What will 2 qt. of gasoline cost at 16 ct. a gallon? 9. A mirror is 6 ft. long and 3 ft. wide. Its area equals how many square feet? how many square yards? 10. At 5 ct. a pound for sugar and 10 ct. a pound for rice, what will 6 lb. of each cost? ORAL EXERCISES 1. A solid bounded by six equal squares is called a cube. 2. How many faces has a cube? How many edges? How many corners? Are the edges of a cube equal or unequal? A cubic inch is a cube whose edges are each 1 inch long. For short we write cu. in. for cubic inch or cubic inches. 3. How long is each edge of a cubic foot? How long is each edge of a cubic yard? 4. A block 3 inches long, 1 inch wide, and 1 inch thick contains 3× 1 × 1, or 3, cubic inches. 5. A block 4 in. long, 2 in. wide, and 1 in. thick contains how many rows of 4 cu. in.? How many cubic inches in all does it contain? 6. A block 4 in. long, 2 in. wide, and 2 in. thick contains how many cubic inches in the top layer? how many in the bottom layer? how many cubic inches in all? 7. Picture a block 5 in. long, 3 in. wide, and 2 in. high. How many cubic inches are there in one row? How many rows of 5 cu. in. are there in the top layer? how many in the bottom layer? How many layers of 15 cu. in. are there? How many cubic inches does the block contain? 8. Picture a solid 6 in. long, 4 in. wide, and 3 in. high. How many cubic inches are there in one row? How many rows of 6 cu. in. in each layer? How many layers of 24 cu. in.? How many cubic inches does the solid contain? This is called the volume of the solid. 9. Find the number of inch cubes that can be packed into a box which is 4 in. long, 3 in. wide, and 2 in. deep. How many cubes in one row? How many rows in one layer? How many cubes in one layer? How many layers How many inch cubes in the box? 10. How many cubic inches in a solid 6 in. long, 4 in. wide, and 2 in. thick? 1 layer = 4 × 6 cu. in. volume = 2 × 4 × 6 cu. in. = 48 cu. in. WRITTEN EXERCISES Find the number of cubic inches in: 1. A block 4 in. long, 3 in. wide, 3 in. thick. 4. A paper box 9 in. long, 4 in. wide, 3 in. deep. 5. A block of wood 10 in. long, 5 in. wide, 4 in. thick. 6. A box 5 in. long, 4 in. wide, 3 in. deep. 7. A block of wood 12 in. long, 6 in. wide, 2 in. thick. 8. A box 9 in. long, 5 in. wide, 4 in. deep. 9. A box 10 in. long, 6 in. wide, 4 in. deep. NOTE. If inch cubes can be obtained, let the pupils build these solids in the class work preceding the written exercises. |