2. What is the difference between of an hour and of an hour? 3. How much will 3 quarts of milk cost, if 1 pint is worth 3 cents? 4. If carpet is yd. wide, how wide a room will 6 widths cover? 5. If of a yard of ribbon costs 2¢, how many yards can you buy for 32 cents? 6. If I had of a yard of ribbon, and used of a yard, what part of a yard have I left? 7. At of a dollar a peck, how many pecks of apples can be bought for $? For $1? $ 8. g. If a boy earns $3 a day, in 12 days he will earn How many 12's of a foot are equal to a yard? 10. At of a dollar a pound, how many pounds of coffee can I buy for $1? For $5? 11. James sold 2 bushels of apples at 10¢ a half-peck. How much did he get for them? sheep are horses. 12 sheep is sheep. (Show by dots.) sheep. of 12 14. 8 quarts are of how many quarts? (Show by dots or squares.) 15. Bell bought a book for 10¢, which was of her money. How much had she? 16. There are 36 gallons of cider in a barrel which is full. How many gallons will the barrel hold? 17. A 3-gallon pail was full of water, but 2 quarts were taken out. What part of the water was taken out? What part was left? 18. If of a yard of cloth cost 15¢, what is the cost of of a yard? Of 1 yard? Of 2 yards? 0 19. 3 If of the cost of a wagon was $12, what was the entire cost? 20. Ifbu. of corn is worth 20¢, what is the value of 2 bushels? Of 21⁄2 bu.? 21. Adam's house is of a mile south of the schoolhouse, and Dick's is of a mile north. How far apart do the boys live? 22. In a school of 48 scholars are girls. How many boys are there? 23. If lb. of coffee costs $.15, what will 2 pounds cost? 24. How many pieces of velvet, each half a yard long, can be cut from a piece 94 yards long? 25. I have a jointed fishing rod in 3 parts. One part is 2 feet long, another 2 feet, and the other 3 feet. How long is the rod? 26. of the days in April are how many days? 3 ft. 27. From a piece of ribbon ft. long a piece long was cut off. Show the length of the remainder. 28. A rectangle is ft. long and ft. wide. What is the perimeter? How many square inches does it contain? 29. A box is 14 ft. long and ft. wide. Find how many square inches in the lid. 30. A lady bought 33 yd. of ribbon, and divided it equally among 5 girls. What part of a yard did each girl get? (3 yd. 5 = 10 yd. ÷ 5). 31. Draw an 8-inch square. In it draw a square as large. How many square inches between the two perimeters? Relations-Ratio. 332. 1. One line is 12 ft. long, another is 3 ft. long. Compare their lengths. (a) The 3-ft. line must be taken (repeated) up the 12-ft. line. (b) The 12-ft. line is times to make times as long as the 3-ft. line. (c) The 12-ft. line is composed of 3-ft. lines. (d) The 3-ft. line is one as long as the 12-ft. line. By comparing or measuring we find the answers required. When we know the answers to a and b, we know the relation (ratio) of 12 ft. to 3 ft. The ratio is 4. When we know the answers to c and d, we know the ratio of 3 ft. to 12 ft. It is 4. 2. One package weighs 2 lb., another 8 lb. Make four statements similar to the four above, and find the ratio of each weight to the other. 3. Measure your foot-rule with a 4-inch unit. Tell what you can about the ratios. 4. Find the ratio of your foot-rule to a 6-inch unit. A 2-inch unit. A 1-inch unit. 5. What is the ratio of the 6-inch unit to the foot-rule? Of the 2-inch unit? The 1-inch unit? 6. Find two ratios by comparing a yardstick and a foot-rule. 7. What two ratios can be found by comparing a gallon and a quart? 8. Draw a 2-in. square and a 10. Ten is how many times 2? Then what is the ratio of 10 to 2? Of 2 to 10? 11. How many times must one be taken to make ten? and the ratio of 1 to Then the ratio of 10 to 1 is 10 is 12. The ratio of 10¢ to to 10¢ is 2. - is 2. The ratio of -¢ 13. A man counting a roll of 5-dollar bills says, $5, $10, $15, $20. How many equal parts make up his $20? How many times must one of the parts be taken to equal his $20? What is the ratio of $20 to $5? Of $5 to $20? 14. $50 is how many times $10? That is, what is the ratio of $50 to $10? 15. Four feet is what part of 20 feet? That is, what is the ratio of 4 ft. to 20 ft? 16. Five inches is one-half of what? That is, the ratio of 5 in. to in. is. 17. Thirty dollars is five times what? That is, the ratio of $30 to $- — is 5. 18. What is the ratio of (4) to? Of to ? Of to 19. 20. Show by drawing. Find the ratio of 24 to 8. Of 42 to 6. By what process do you find the ratio of one number to another? (See Division.) 21. Select any number you please, and state its ratio To two. to one. Five apples are how many times 1 apple? Then they will cost how many times as much? Point out two ratios that are equal. Eight apples are how many times 2 apples? How many times as much will they cost? Point out the ratios. 1. At 3¢ each, what will be the cost of a dozen oranges? 2. When lemons are selling at the rate of 3 for 5¢, what will a dozen cost? 3. If 11 lb. of sugar cost 50¢, what will 22 lb. cost? 4. When you can buy 3 handkerchiefs for 25¢, how many can you buy for $1? 5. A lady paid 30¢ for a dozen eggs. How much would 4 eggs cost at that rate? 6. A boy running takes 3 steps every 10 ft. How many steps does he take in running 100 ft.? 7. A man earns $21 every two weeks. How much does he earn in six weeks? 8. How much do I gain by buying 10 pigs at $2 each, and selling them at $3 each? (a) How much do I gain on 1 pig? On 10? (b) How much do I pay for the 10 pigs? How much do I get for them? Then how much do I gain? |