WRITTEN EXERCISES 1. A farmer paid $3318 for 79 acres of land. How much was that per acre? 2. How many loads of corn, each containing 22 bushels, are there in a crib containing 1716 bushels? 3. Mr. Yale shipped to Chicago 56 head of cattle for which he received $3360. What was the average price? 4. If each of the cars in a train weighs when loaded 54 tons, how many cars are there in a train if the combined weight is 1188 tons? 5. A man saves $37 a month. How long will it take him to save $1480? MEASURES ORAL EXERCISES 1. How many inches in 1 ft.? How many feet in 1 yd.? 2. Measure 5 yd. from the front wall of the room. This distance is called a rod. A rod is how many yards? 3. Try to stand one rod away from the blackboard. Measure the distance to see if it is 5 yd. 4. Measure one side of the school lot and give the length in rods. 5. Name some place that is a mile from the schoolhouse. What streets or houses do you know that are a mile apart? What street or road have you seen that is a mile long? There are 320 rods in a mile. 6. We use inches, feet, and yards to measure short distances. What measures do we use for long distances? 7. How many feet in 5 yards? in 5 yards? in 1 rod? 8. How many feet in 2 rods? 9. Draw lines on the blackboard to represent 1 yard and 1 rod (scale 1 ft. to 1 yd.). 10. How many rods in a half of a mile? in a quarter of a mile? in an eighth of a mile? 11. We now know the following TABLE 12 inches = 1 foot 3 feet 1 yard 5 yards, or 161⁄2 feet = 1 rod 320 rods, or 5280 feet = 1 mile 12. For short we write rd. for rod or rods, and mi. for mile or miles. WRITTEN EXERCISES 1. How many rods in 11 yards? How many feet? 2. How many feet in mile? in mile? in mile? 3. How many rods in 2 miles? in mile? 4. How many inches in 1 yard? in 21 yards? 5. How many feet in 720 inches? How many yards? 6. 5280 feet are how many yards? 7. A pasture of a mile long and 20 rods wide will need how many rods of fence to inclose it? 8. Change 12 miles to rods; to yards; to feet. Right Angle ORAL EXERCISES Acute Angle Obtuse Angle 1. Draw a right angle; an acute angle; an obtuse angle. 2. Which angle is smaller than a right angle? Which angle is greater than a right angle? 3. In how many directions does a line extend? a square? an oblong? Oblongs and squares are called rectangles. 4. How many angles has a rectangle? What kind of angles? Show the perimeter of the rectangle in the picture. Show the area. How many angles has a triangle? What kind of angles has the triangle in the picture? 5. What is the area of a rectangle 5 inches long and 4 inches wide? What is the perimeter? 6. What is the area of a 5-inch square? of a 6-inch square? of a 12-inch square? 7. How many square inches make a square foot ? 8. How many square feet make a square yard? 9. Measure a square rod in the school yard and place a pupil at each corner. 10. It takes 160 square rods to make an acre. The area of a strip of land 40 rods long and 4 rods wide is an acre, or 160 square rods. 11. A square mile is how long? how wide? A square mile contains 640 acres. How many 80-acre farms equal a square mile? 12. We now know the following 13. For short we write sq. rd. for square rod or square rods; A. for acre or acres; and sq. mi. for square mile or square miles. WRITTEN EXERCISES 1. How many square inches are there in 22 square feet? 2. How many square rods are there in 3 acres? 3. A field is 40 rods long and 20 rods wide. How many square rods does it contain? How many acres? 4. How many square rods in 9 acres? 5. How many acres are there in 10 sq. mi. ? ORAL EXERCISES 1. Show an inch and a square inch by drawings. Can you draw a picture of a cubic inch? 2. How many cubic inches in a solid that is 5 inches long, 4 inches wide, and 3 inches thick? 3. How many inches long is a cubic foot? How many cubic inches in one row? How many rows of 12 cubic inches in each layer? How many cubic inches in a layer? How many How many layers of 144 cubic inches each? cubic inches in a cubic foot? A cubic foot contains 12 layers of 12 x 12 cubic inches. 4. A cubic yard containing 3 layers of 3 × 3 cubic feet = how many cubic feet? 12 x 12 x 12 cubic inches = 1728 cubic inches = 1 cubic foot. CUBIC FOOT CUBIC CUBIC YARD 3 × 3 × 3 cubic feet = 27 cubic feet = 1 cubic yard. WRITTEN EXERCISES 1. A coal bin is 12 feet long, 6 feet wide, and 7 feet deep. How many cubic feet does it contain? 2. How many cubic yards of earth were taken out in digging a cellar 6 yd. long, 4 yd. wide, and 2 yd. deep? 3. How many cubic feet of air are there in a schoolroom 30 feet long, 24 feet wide, and 12 feet high? How many cubic yards are there? |