A MEASURES OF DISTANCE 231 B C 1. Suppose 1 inch on this line stands for (represents) a mile. A man goes from C to A and back to B. How many miles has he traveled? 2. From B he goes to C and returns to B. How many miles has he traveled? 3. Suppose one inch on the line represents 8 rods. How many yards is it from A to B? From B to C? From A to C? 4. John lives at B, Ned at A, and the schoolhouse is at C. John goes to Ned's house in the morning, then to school, and home in the evening. How many rods has he traveled? 5. The next day Ned goes to school, back to John's home, and they go back to school together. They return home in the evening. How many rods has Ned traveled? How many yards? 6. Let each pupil count the number of steps to his home from school, write it down, and the next day find the distance in feet, if his steps are 2 feet long. If he steps 1 feet. Tell whether it is nearer a mile, a mile, of a mile, or of a mile. 7. How many feet in of a mile? In of a mile? 8. 2 boys start from home and walk in opposite directions. They take 8 steps to the rod. How many rods apart are they after each has taken 80 steps? 9. Is their distance apart nearest to 1, 1, or 1 mile? 10. A boy takes 80 steps of 2 feet each in a minute. How far will he walk in 15 minutes? Is the distance nearer to, or to of a mile? Map of country road, starting from the street AX, drawn to a scale of one inch to four miles. 1. How many miles is it from the street to B? To D? To G? 2. How many miles is it from B to G? From D to G? 3. How far is the road BC from the street? How far is D E? 4. How far is the road F G from the road D E? 6. How far is the road A B from the road FE? 7. How far is G from the nearest point of the street? 8. How far is G from the nearest point in the road A B? 9. The distance, BC, equals what part of the distance, FG? What part of DE? What part of CD? What part of A B? What part of DF? 10. The distance, FG, equals what part of the distance A B? What part of the distance, DE? 11. The distance, CD, equals what part of the distance A B? What part of the distance, F G? SCALE DRAWING AND MEASURES OF DISTANCE 233 (On the map of the opposite page call 1 inch mile.) 1. How far is it from A to B? From A to C? From A to D? From B to C? From E to F? From E to G? · (On the map of the opposite page call 1 inch mile.) 2. How far is it from A to B? From A to C? 3. If a man walks from A to B in 15 minutes, how long will it take him to walk from D to E? 4. John rides his bicycle 11⁄2 miles in 8 minutes; Harry rides at the same speed for 5 minutes. How many more rods does John ride than Harry rides? How 5. There are in a room 5 windows 9 feet high. many yards of material of single width will be required to make 2 curtains for each of the windows? What will be the cost at 6¢ a yard? 6. The 4 windows of a schoolroom are 7 feet high. How many yards of material will be required for one curtain at each window, allowing 1 extra foot for each curtain? What will be the cost of the material at 25¢ a yard? 7. Each step in the staircase is 6 inches high and 1 foot wide. How many feet of stair carpet will be required for 12 steps? What will be the cost of the carpet at 75¢ a yard? 8. In a library 35 feet long and 23 feet wide, there are book shelves on one side and one end of the room. How many feet of boards, in length, will be required to make 5 of these shelves? 9. A pile of 10 blocks is placed 6 yards from a basket. A child starts at the basket, goes to the blocks and carries them 1 at a time to the basket. How far does he walk? Of 75? 4. 25 is what part of 50? what part of 75? Of 100? 75 is what part of 100? 5. 12 is what part of 25? Of 50? Of 75? Of 100? 6. How many times 12 is 37? 621? 871? 7. What part of 100 is 37? 621? 871? TWELVE AND A HALF Answer all you can orally 235 1. A woman sold 4 dozen eggs at 12¢ a dozen. How much did she receive for them? 2. How many 12¢ make a dollar? of a dollar? A half-dollar? 75¢? 3. A boy bought a dozen chickens at 12¢ each. The feed cost him 75¢. He sold the chickens when they were grown at 25¢ each. How much money did he make? 4. A farmer hired a boy to watch his corn-field and promised him 12¢ for every 3 squirrels and 12¢ for every 5 crows that he killed. At the end of a week the boy turned in 6 squirrels and 10 crows. How much should the farmer pay him? 5. A woman bought 10 yards of ribbon at 121¢ a yard and 8 yards of silk at 871⁄2¢ a yard. What did the ribbon cost? The silk? Both together? 6. A boy bought a ball for 121⁄2¢, a bat for 25¢, and a glove for 37. How much did he pay for the outfit? 7. A girl bought a doll for 25¢, a tablet and pencil for 121¢, and a book for 371¢. How much change should she receive if she gave the storekeeper $1? 8. A book-seller bought 5 books at 124¢ each, 8 boxes of paper at 121¢ each, and 7 dozen pencils at 121¢ a dozen. What was the cost of all? 9. A hall, 12 feet wide, is 6 times as long as wide. How long is it? 10. A board, 12 inches wide, is 7 times as long as wide. How many inches long is it? 11. A boy bought 3 dozen eggs for of a dollar, and sold them for of a dollar. What part of a dollar did he gain? How many cents a dozen did he gain? |