1. B is a piece of paper the size from which to cut such a box without a cover. How long is it? How wide? What is its area? 2. A box is 2 inches long, 2 inches wide and 2 inches high. How many square inches in the sides and bottom of the box? 3. What are the dimensions (length and breadth) of the piece of paper necessary to make it? What is its area? 4. What are the dimensions of the piece of paper necessary to make a box 3 inches long, 3 inches wide, and 3 inches deep, without a cover? What is the area of the paper? 5. What are the dimensions of a box 4 inches deep, that can be made, without a cover as in problem 1, from a piece of paper 12 inches long and 12 inches wide? 6. A box is 4 inches long, 3 inches wide and 2 inches deep. How large must the paper be in order to make it without a cover? How many square inches of paper are necessary? 7. How many square inches of leather are necessary to line a box that is 6 inches long, 2 inches wide, and 2 inches deep, without a cover, if there is no waste in cutting? What will the leather for such a box cost at 6¢ a square inch? 8. How many square feet of cloth are needed to line a box 6 feet long, 3 feet wide, and 2 feet deep, with a cover? 9. The length of a room is 6 yards, the width 5 yards, and the height 4 yards. How many square yards in one side of the room? In 2 sides? In one end wall? In both? In the ceiling? In the floor? In the entire inside surface of the room? Arthur Hall kept a newspaper stand and this table shows his sales for one week. 1. How many of each paper did he sell in the week? 2. How many of all papers did he sell in the week? 3. How many papers did he sell each day? 4. How much did he receive each day for the Tribune? Free Press? News? Enquirer? Herald? Dispatch? Post? 5. How much did he receive daily for all the papers? 6. What sum of money did he receive in the whole week for each one of the papers? 7. What sum of money had he received during the week from the sale of all the papers? 8. His pay was one-third of all he received. How much did he earn? 9. What paper sold best during the whole week? 10. What paper had the smallest sale for the week? 11. What paper brought in the smallest sum of money? 12. What paper sold best on Monday? Tuesday? Wednesday? Thursday? Friday? 13. Let pupils make and solve problems using the prices given above. USES OF SEVEN Answer all you can orally. 1. How many days are there in a week? 2. In 14 days there are how many weeks? 69 3. How many days are there in 2 weeks? In 3 weeks? In 4? In 5? In 6? In 7? In 8? In 9? In 10? In 11? 4. How many weeks are there in 21 days? In 28 days? In 35? In 42? In 49? In 63? In 84? 5. A woman bought a quart of milk each day of one week. How many pints did she buy in all? 6. In all the common years February has 28 days. How many weeks has February in common years? 7. Alice stayed with her grandmother 21 days. How many weeks was she there? 8. A boy sold newspapers every day for 63 days. How many weeks did he sell papers? 9. John is 7 years old and his brother William is 4 times as old as John. How old is William? 10. A girl spent 70¢ for ribbon. How many dimes did she spend? 11. Elsie is 7 years old. Her mother is 35 years old. How many times Elsie's age is her mother's age? 12. The Christmas holidays were two weeks long. How many days long were they? 13. Jennie paid 7¢ a pound for loaf sugar. How many pounds could she buy for 63 cents? 14. The summer vacation was 9 weeks long. How many days long was it? 15. George made a trip of 8 weeks. How many days was he away? 16. A term of school was 12 weeks long. How many school days were in it? 1. How many squares are there in A? How many rows of 7 squares each in B? How many such rows in C? In D? In E? In F? In G? In H? In I? In J? 2. A equals 7, B equals 14. How many in C? In E? In F? In G? In H? In I? In J? In K? 3. A equals what part of B? What part of C? Of E? Of F? Of G? Of H? Of I? Of J? Of K? In D? Of D? Of L? 4. 7 equals what part of 14? What part of 21? Of 35? Of 42? Of 49? Of 56? Of 63? Of 70? Of 28? Of 77? Of 84? 5. B equals how many A's? What part of D? Of F? Of H? Of J? Of L? 6. 14 equals how many 7's? What part of 28? Of 42? Of 56? Of 70? Of 84? 7. C equals how many A's? What part of F? Of I? BUILDING TABLE OF SEVENS 71 1.21 equals how many 7's? What part of 42? Of 63? Of 84? 2. D equals how many A's? How many B's? What part of H? Of L? 3. 28 equals how many 7's? How many 14's? What part of 56? Of 84? 4. E equals how many A's? 6. F equals how many A's? What part of L? What part of J? What part of 70? 7. 42 equals how many 7's? How many 14's? How many 21's? What part of 84? 6 16 26 367 46 7 17 27 8 18 28 9 19 29 56 66 76 57 67 77 58 68 78 59 69 79 9. Add the heavy center number to each number in the same large square. Subtract it from each number larger than itself. Multiply in the same way. |