GRADED PROBLEMS IN ARITHMETIC AND MENSURATION. REVISED AND ENLARGED. BY S. MECUTCHEN, A.M., LATE PROFESSOR OF HIGHER ARITHMETIC AND MENSURATION IN THE PHILADELPHIA: ر V PREFACE. WHATEVER text-book on arithmetic is used, the necessity for a work of this kind is felt by every teacher, from the fact that fresh problems stimulate investigation, while a review of those that have been in use for a term often fails to produce results proportionate to the expenditure of time. About 3500 examples are here furnished, graded on the plan of the New American Arithmetics, yet in sucn manner that the book will readily supplement any other series. To make the work complete in itself, all the necessary rules and tables have been added, together with a number of questions on the principles of arithmetic and mensuration, for reviews and examinations. It is believed that pupils who master the problems here presented will find no difficulty in solving any fair question in arithmetic. NOTICE TO TEACHERS. The rearrangement of the present edition of the Graded Problems into Parts I. and II. is to permit the publication of the parts separately, and is in accordance with the suggestions of a number of prominent teachers. New problems have been added, as follows: Part I., pages 46, 47, 48, 49, 84, 85, 86, 87, 88; Part II., pages 8, 65, 66, 67, 68. The Questions, Rules, and Tables have been transferred to their appropriate places, but in all other respects the same order of arrangement has been observed as heretofore. WRITE the following numbers, and then read them: 5. 6001060; 100000001; 9520052; 6066606006. Write the following in figures: 8. Eight hundred and sixty-seven thousand two hundred. 9. Sixty thousand and six. Ten million. Five thousand. 10. Eight hundred million and eight. One trillion. 11. Sixteen million eleven thousand and one. 12. Six million and ninety-six. Ten trillion and one. 13. Nine hundred and fifty-four million seven hundred and 14. One hundred million ten thousand and one. 15. Ninety million six hundred and two. 16. Twelve thousand two hundred and twelve. 17. Ten thousand nine hundred and nine. |