MEASUREMENTS. 800. What is the length in inches of a row of four envelopes, each five inches long, placed end to end? What is the length in feet and inches? 1. What is the width in inches of four such rows just touching each other? What is the width in feet? How many envelopes are there? How many sq. in. in each envelope? How many sq. in. are covered by all of them? 2. How many envelopes 5 inches by 3 inches would cover the top of a table 4 feet 2 inches long and 2 feet 6 inches wide? 3. Draw a rectangle to represent a floor 24 feet long 18 feet. Draw rugs 6 feet long, 3 feet wide, and see how many will be needed to cover the floor. wide. 4. How many boards 12 feet long, 6 inches wide will be required for a floor 8 yards long, 6 yards wide? If the boards run lengthwise, now many boards in length are used? How many boards wide? 5. Given the area in square inches of a surface to be covered with envelopes, and the area in square inches of an envelope, how is the number of envelopes ascertained? If the area of the surface to be covered is given in square feet, how must we proceed? 6. Given the dimensions of a surface to be covered and the dimensions of the articles to be used for covering, how can we indicate the operations to be performed, without actually doing the work? How about the denominations used; yards, feet, etc.? 7. How many bricks 8 inches by 4 inches will be needed for a walk 24 yards long, 6 feet wide, making no allowance for waste? First indicate the work. Cancel. 8. How many paving tiles foot square will cover a hearth 6 feet long, 3 feet wide? Make a diagram. 9. How many boards 12 feet long, 9 inches wide will be required for a close fence 120 yards long, 6 feet high? 10. Find the number of paving stones 9 inches by 3 inches, in a street 100 rods long, 10 yards wide. 11. A man buys a piece of ground 300 feet long, 150 feet wide. He builds a house, 50 feet by 30 feet, and a shed 12 feet by 13 feet. How many square yards will he have left for a garden? 12. There are 160 square rods in an acre. yards are there in an acre? How many square 13. Give the dimensions, in yards, of a field that will contain just an acre. Of one that will contain two acres. 14. Draw a rectangle 2 inches x 3 inches. Draw one twice the size. What are the dimensions of the latter? A plot 100 ft. x 100 ft. is how many times as large as a plot 25 ft. x 25 ft.? 15. How many square feet are there in a fence 10 feet high around a lot 250 feet long, 200 feet wide? 16. The owner of a piece of ground 250 feet long, 200 feet wide, takes 10 feet from each side to make a gravel walk, and ises the remainder for a garden. Give the dimensions of the garden and its area in square feet? How many square feet are taken up by the walk? How many square feet in the whole piece of ground? 17. How many square feet of flagging would be required for a sidewalk 10 feet wide outside a lot 250 feet long, 200 feet wide? If 250 running feet of sidewalk, 10 feet wide, were laid on two sides of he lot, and 200 running feet on each of the other sides, would the job be finished? 18. At $80 per acre what is the value of a field 80 rods long, 70 rods wide? What will it cost to fence the field at 20 per running yard? 19. A room is 24 feet long, 18 feet wide, 12 feet high. Draw, touching each other, four rectangles representing the four walls. Write the dimensions of each wall. What are the dimensions of the large rectangle made up of the four smaller ones? Give the area in square feet. In square yards, 20. Show by a diagram the shape of a piece of paper that when folded will entirely cover a box 12 inches long, 6 inches wide, 4 inches high. Write the dimensions. 801. This is called the "development" of the box. What is the area of the paper in square inches? 21. Make a diagram of a room 24 feet long, 18 feet wide, 12 feet high, showing the surface that is generally plastered. How many square yards of plaster will be needed for the above room, making no allowance for doors, windows, etc.? 22. What is the length of a rectangular field 60 rods long that contains 60 acres? 23. To contain 48 square yards, how many yards long must be a piece of carpet 27 inches wide? 24. I have bought 24 yards of dress goods, 27 inches wide. How many square yards does the piece contain? How many yards of lining 32 inches wide will contain the same number of square yards? 25. How many square yards are there in 27 rugs, each 63 inches long, 45 inches wide? TIME BETWEEN DATES. 802. Oral Problems. 1. How many hours from 3 o'clock Saturday afternoon to 9 o'clock Sunday morning? 2. How many days from May 1 to June 1? 3. A boy takes a spoonful of medicine every hour. If he takes the first dose at 2 o'clock, at what hour will he take the sixth? The second? The fourth? 4. A man begins work on the morning of the 6th and ends on the evening of the 11th. How much does he earn at $3 per day? 5. An importer receives some cases of goods numbered consecutively. How many cases are there if the lowest number is 29 and the highest number is 53? 6. How many posts 6 ft. apart will be needed for a fence 120 ft. long? For a fence 6 ft. long? 12 ft. long? 7. Find the time from Jan. 1 to Jan. 31, counting the first and the last day. Omitting both days. 8. How many days from July 4 to August 15, inclusive? 9. How many chapters from the 25th to the 49th, exclusive? 10. A girl begins at the 146th problem and solves all those on two pages. If the last is the 172d problem, how many does she solve? 803. In finding the time between dates, either the first or the last day is excluded; that is, from the 1st to the 21st is considered 20 days. How many days from March 4 to Sept. 1? |