6. From 7 bu. 3 pk. 3 qt. take 3 bu. 1 pk. 5 qt. bu. pk. qt. 7 3 3 1 pk. or 8 qt. + 3 qt. = 11 qt.; 11 qt. — 5 qt. 3 1 5 6 qt.; 2 pk. – 1 pk. = 1 pk.; 7 bu. — 3 bu. 4 bu. 4 1 6 mo. 9. From 18 hr. take 9 hr. 16 min. 45 sec. Finding the difference in time between two dates is the most practical application of subtraction of denominate numbers. 10. Find the difference in time between November 15, 1903, and August 12, 1905. Aug. 12, 1905, is represented as the 12th day yr. da. of the 8th month of 1905, and Nov. 15, 1903, 1905 8 12 as the 15th day of the 11th month of 1903. 1903 11 15 1 mo. or 30 da. + 12 da. = 42 da.; 42 da. 1 8 27 15 da. = 27 da.; 1 yr. or 12 mo. + 7 mo.= 19 mo.; 19 mo. – 11 mo. = 8 mo.; 1904 yr. – 1903 yr. = 1 yr. Subtract: yr. da. yr. da. 11. 1908 7 12 12. 1905 9 1 1901 9 15 1890 8 15 mo. mo. 13. How many years, months, and days old is each pupil in the room? 14. General Robert E. Lee was born January 19, 1807, and General Ulysses S. Grant April 27, 1822. How old was each at the close of the Civil War, April 9, 1865? How much older was General Lee than General Grant ? 15. How old is a man to-day who was born July 3, 1882 ? MULTIPLICATION AND DIVISION 1. Multiply 3 wk. 5 da. 9 hr. by 7. 7 x 9 hr.= 63 hr. = 2 da. and 15 hr.; 7 x 5 da. = 35 da.; 35 da. + 2 da. = 37 da. = 5 wk. and 2 da.; 7 x 3 wk. = 21 wk.; 21 wk. + 5 wk. = 26 wk. Hence the answer is 26 wk. 2 da. 15 hr. 26 2 T. cwt. = Multiply : 54 T. 12 = 4 T. and 6 T. remainlb. ing; 6 T. = 120 cwt.; 120 cwt. + 15 12)54 72 15 cwt. = 135 cwt. ; 135 cvt. = 12 = 11 cwt. and 3 cwt. remaining ; 3 4 11 31 cwt. = 300 lb.; 300 lb. + 72 lb. 372 lb.; 372 lb. • 12 = 31 lb. Divide : 8. 18 wk. 5 da. 21 hr. by 5. 9. 188 gal. 1 pt. by 7. 10. 88 bu. 3 pk. 4 qt. by 9. yr. 11 mo. 18 da. by 11. 12. 86 T. 3 cwt. 44 lb. by 6. 13. Find the cost of 19 gross of pencils at 104 a dozen. 14. What is the contents in cubic feet of a cistern that is 18 ft. 6 in. long, 11 ft. 5 in. wide, and 8 ft. 3 in. deep? 15. How many packages, weighing 5 ounces each, can be made from 5 pounds of candy ? 11. 61 REVIEW 1. If a watch gains 18 seconds in a day, how much too fast will it be in three weeks? 2. How many barrels, each holding 2 bushels and 3 pecks, will be required to pack 88 bushels of apples ? 3. How many bushels of potatoes are necessary to plant 87 acres, allowing 6 bu. 1 pk. to the acre ? 4. A merchant sells linseed oil at 12¢ a pint that cost him 56¢ a gallon. Find his profits on 45 gallons 3 quarts. 5. 5 car loads of coal weigh : 57,698 lb., 49,875 lb., 63,545 lb., 49,897 lb., and 54,273 lb. Find the number of tons, hundredweight, and pounds in all. 6. 4 men buy a plot of land that has 222 feet 8 inches street frontage. Allowing for an alley 20 feet in width in the center, what is the width of each man's lot if they divide the plot equally ? 7. A force pump in a coal mine lifts 76] gallons of water to the surface per minute. Find the weight of the water pumped out in one day. 8. If 3 pounds 4 ounces of coal are consumed in generating power to lift 5 gallons of water in problem 7, find the number of tons of coal consumed each day. 9. A Kentucky farmer clipped 5421 pounds of mohair from 70 Angora goats. Find the average clip from each goat and its value at $.67} per pound. 10. An automobile runs 27 miles in 5 minutes. At that rate, find the distance in miles, rods, and feet it runs in 1 hour 35 minutes. 11. A pencil factory makes 64 gross of pencils per hour. Find the number of dozen made in 26 days of 91 hours each. PRACTICAL MEASUREMENTS MEASURES OF LENGTH 1. Measure the length of your desk; the length of the room ; the length of the blackboard ; the height of the window from the floor. 2. In what are these short lengths measured ? TO THE TEACHER. Secure a tape measure 50 feet long. 3. Measure the distance around the schoolroom in feet and fractions of a foot. How many yards is it around the room? 4. Measure the distance around the school grounds in rods, feet, and inches. 5. Take 161 ft. of the tape measure and measure 10 rods along the public road or street. 6. 320 x 161 ft. = how many feet? 1760 x 3 ft. = how many feet? 7. How many feet equal a mile? how many yards ? 8. James walks 14 miles to school each day. How many rods does he walk? how many feet? 9. How many rods equal 5280 ft. ? f of a mile? 3560 ft. ? 10. Mary walks of a mile to school each day. How many miles does she walk in going to and from school in 180 days? 11. Henry walks . 8 of the number of miles Mary walks. Find the distance Henry walks in a term if he attends 160 days. 12. Write the table of length. 13. A train averages 35.3 miles per hour. How many miles, rods, etc., does the train run in 6 hours and 45 minutes ? 14. What part of a mile is a foot ? a yard ? a rod ? -B D Observe that they are straight lines and cannot meet, however far they may be extended. Such lines are called parallel lines. MEASURES OF SURFACE 2 in. 1. Name six different surfaces in the schoolroom. 2. How many dimensions has every surface? How does a surface differ from a line ? 3. Draw on a scale of j, a 3 in. rectangle 3 inches long and 2 inches wide. Divide it by lines inchy into square inches. How many square inches are there in the first row? in the second ? in the rectangle? What is the unit of measure in this surface ? Observe that 2 x 3 x1 sq. in.=6 sq. in. The area of a rectangle is found by multiplying its unit of measure by the product of its two dimensions. 4. Draw a rectangle 2 ft. by 6 ft. Divide it into square feet. 5. Draw a square a foot on a side. Mark off the sides into 12 equal parts and connect them by straight lines. How many square inches equal a square foot? |