REVIEW AND PROGRESS SCORE 41. Review and Progress Score I. REVIEW 61 [Use pencil only when needed.] 1. Reduce to improper fractions: 53, 81, 103, 125, 93. 2. Reduce to mixed numbers: 14, 22, 36 66 100 8 97 12. Try to make a total record of 100 points on these exercises, counting for each correct answer the score given in parenthesis below the letter of the problem. CHAPTER IV. HOME INTERESTS 42. Household Supplies [Without pencil.] 1. What fractional parts of a yard are commonly used in buying goods? 2. How many inches are there in yd.? In yd.? In of a yard? In of a yard? In 3 of a yard? 3. What part of a yard is 12 inches? 9 inches? 27 inches? 18 inches? 24 inches? 4. A window curtain requires 3 yards 18 inches of muslin. How many yards are required? 5. Elizabeth finds that a table cover requires 2 yards 27 inches of goods. Express in yards the length required. 6. Express as yards: 1 yard 9 inches; 4 yards 27 inches; 3 yards 18 inches; 2 yards 12 inches; 1 yard 24 inches. 7. A floor requires 4 strips of matting of the same length. How can the number of yards required for the floor be found, if the length of each strip is known? 8. A piece of carpeting a given number of yards long is to be divided into 3 equal lengths. How can the length of each piece be found, if the length of the whole is known? 9. If the cost of a yard of cloth is known, how can the cost of of a yard be found? Of of a yard? 10. If the cost of 3 of a yard is known, how can the cost of a yard be found? II. A piece of toweling is to be cut into lengths of a yard long. How can the number of towels be found, if the entire length of the toweling is known? THE FRACTION IN MULTIPLICATION 43. The Fraction in Multiplication 1. In making cardboard boxes, Philip first cut a sheet of cardboard into halves, and then each half into four equal parts. Into how many equal parts did he cut the cardboard? 2. Philip used one of the pieces for each box. What part of the whole sheet did he use? 3. Elizabeth had half a yard of ribbon, which she divided into two equal parts. She used one of 63 the equal parts for a needlebook. What part of a yard did she use? 4. What is of ? of? 5. If a sheet of paper is folded into halves, and then each half is folded into thirds, how many parts does the sheet contain? The smallest part equals what part of the whole sheet? 6. What part of a sheet of paper is of a sheet? 7. How many parts does a sheet of paper contain when it is divided into thirds, and then each third is divided into fourths? What name is given to the smallest part? 8. What part of a sheet of paper is of of a sheet? 13. Answer, without drawing: of 1 = ? } of } = ? } of { = ? 1 Problems such as of? may be expressed with the multipli Henry had of a sheet of blotting paper. He used of it. What part of the whole sheet did he use? To multiply one fraction by another, multiply the numerators together for a new numerator, and the denominators for a new denominator. 3 [Use pencil only when needed.] 1. Multiply: by ; by ; by 1; 7 by ; by 1. 2. Robert made a reed basket for his mother's birthday present. He bought lb. of reed and used of it. What part of a pound did he use? 3. Helen made a silk workbag for Margaret. She had of a yard of silk and used of it. Find what part of a yard the workbag required. THE FRACTION IN MULTIPLICATION III 65 (1) Allowing of a yard of ribbon for each badge, how many yards are required for 7 badges? (2) At 25¢ a yard, what is the cost of the ribbon for each badge? In both problems above, one term is an integer, and the other a fraction. Each problem is solved by first multiplying the numbers above the line and placing the product above the denominator, and then reducing the answer. [Use pencil only when needed.] 1. Multiply by 5; 3 by 3; by 11; 9 by 1; 8 by . 2. Kitchen towels are to be made. Each requires crash. How many yards must be bought for 9 towels? of a yard of 3. How many yards of linen are required for 4 table napkins if each requires of a yard? 4. At 21¢ a pound, how much must be paid for of a pound of fruit? 5. At 45¢ a dozen, how much must be paid for 3 of a dozen lemons? |