A SERIES OF QUESTIONS AND EXAMPLES RELATING TO THE SUBJECTS TREATED OF IN THIS VOLUME. It will be noticed that the various Question Papers that follow have been given the same section numbers as the Instruction Papers to which they refer. No attempt should be made to answer any of the questions or to solve any of the examples until the Instruction Paper having the same section number as the Question Paper in which the questions or examples occur has been carefully studied. ARITHMETIC. (PART 1.) (1) What is arithmetic ? (2) What is a number? (3) What is the difference between a concrete number and an abstract number? (4) Define notation and numeration. (5) Write each of the following numbers in words: (a) 980; (b) 605; (c) 28,284; (d) 9,006,042; (e) 850,317,002; (f) 700,004. (6) Represent in figures the following expressions: (a) Seven thousand, six hundred. (b) Eighty-one thousand, four hundred, two. (c) Five million, four thousand, seven. (d) One hundred eight million, ten thousand, one. (e) Eighteen million, six. (f) Thirty thousand, ten. (7) What is the sum of 3,290 +504 +865,403 +2,074 +81+7? Ans. 871,359. (8) 7098,304,725 + 391 +100,302 + 300 + 909 what? Ans. 8,407,336. (9) Find the difference between the following: (10) (a) 70,968 - 32,975 ? (b) 100,000 - 98,735 = ? = (11) The greater of two numbers is 1,004 and their dif ference is 49; what is their sum? Ans. 1,959. (12) From 5,962 +8,471 +9,023 take 3,874 +2,039. Ans. 17,543. (13) A man willed $125,000 to his wife and two children; to his son he gave $44,675, to his daughter $26,380, and to his wife the remainder. What was his wife's share? Ans. $53,945. (14) Find the products of the following: (a) 526,387 × 7; (b) 700,298 × 17; (c) 217 × 103 × 67. (a) 3,684,709. Ans. (b) 11,905,066. (c) 1,497,517. (15) If your watch ticks once every second, how many times will it tick in one week? Ans. 604,800 times. (16) If a monthly publication contains 24 pages in each issue, how many pages will there be in eight yearly volumes? Ans. 2,304. (17) An engine and boiler in a manufactory are worth $3,246. The building is worth three times as much, plus $1,200, and the tools are worth twice as much as the building, plus $1,875. (a) What is the value of the building and tools? (b) What is the value of the whole plant? Ans. {(a) $34,689. (18) Solve the following by cancelation: 37,935. (19) If a mechanic earns $1,500 a year for his labor, and his expenses are $968 per year, in what time can he save enough to buy 28 acres of land, at $133 an acre? Ans. 7 years. |