ARITHMETIC. (PART 1.) EXAMINATION QUESTIONS. (1) What is arithmetic? (2) In what two ways may numbers be represented? (3) What is a number? a unit? (4) What is the difference between a concrete number and an abstract number? (5) What is the reading of a number called? (6) Express, in both Arabic notation and Roman notation, seven thousand five hundred three. (7) For what purpose are ciphers used? (8) 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. (9) Express in Roman notation the following numbers: (a) 76; (b) 353; (c) 1,732; (d) 1,496; (e) 1,888. (10) 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) ten million six; (f) thirty thousand ten. (11) Find the sum of 83,027 + 46,928 + 4,769 + 81,987 +46,729 +479,897 + 627 + 14,896 +987,649. (12) Multiply 29,800 by 390. Ans. 1,746,509. Ans. 11,622,000. (13) A man owes $1,000; he pays $329 the first year and $438 the second year. How much does he still owe? Ans. $233. For notice of copyright, see page immediately following the title page. 126D-33 (14) Find the difference between 23,896 + 4,982 +96,875 +59,674 and 31,627 + 54,892 + 6,925 +8,976. Ans. 83,007. (15) Multiply 8,765 by 987, and from the product subtract 4,695 X 823. Ans. 4,787,070. (16) The greater of two numbers is 1,004, and their difference is 49. What is their sum? Ans. 2,749. Ans. 1,959. (17) A drover bought 36 oxen at $24 each and 23 cows at $96 each; how much did they all cost? Ans. $3,072. (18) Divide 2,937 x 864 by 923. (19) Multiply 8,976 by 4,298, and subtract 98,765 from the product. (20) 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. 38,480,083. Ans. (a) $34,689. (b) $37,935. (21) The divisor is 1,389, the quotient is 748, and the remainder is 1,263. What is the dividend? Ans. 1,040,235. (22) The multiplicand is 4,896, and the product 3,862,944. Find the multiplier. Ans. 789. (23) A man left $25,375 to his widow and $12,450 to each of his seven children. How much did they all receive? Ans. $112,525. (24) If I sell my farm for $375 an acre, I would get $31,734 more for it than if it sold for $246 an acre. How many acres in the farm? (25) Solve the following by cancelation: (12) (5) 231 x 96 x 192 × 45 Ans. 246 acres. [(a) 144. Ans. (6) 24. ARITHMETIC (PART 2.) EXAMINATION QUESTIONS. (1) Find the sum of 3, 4, 8, 3, and 11. Ans. 424. (2) What is the value of 3+ 67 - 48? Ans. 5. (3) A man bought 12 tons of coal. How much was left after he had burned 5 tons? Ans. 6 T. (4) How many dresses can be made of 533 yards of gingham, if each dress contains 63 yards? (5) Find the product of 83 X 678. (6) Divide 4 × 63 by 11. Ans. 8 dresses. Ans. 5,672. Ans. 163. (7) At $33 a yard, what must be paid for 24 yards of velvet? (10) Ans. $93. Ans. 8. Ans. 18. Ans. 7211. Subtract from 100 the sum of 8, 7%, and 10. (11) A cask containing 40 gallons leaks at the rate of In how many hours will it be empty? 3 gallons an hour. 65 (12) Find the value of 1 X 4 × 6. (13) The circumference of a wheel is eter. What is the circumference of a wheel is 8 feet? Ans. 10 hr. Ans. 1918. times its diamwhose diameter Ans. 27 ft. For notice of copyright, see page immediately following the title page. (14) Find the difference between 23,896 + 4,982 + 96,875 +59,674 and 31,627 +54,892 +6,925 +8,976. Ans. 83,007. (15) Multiply 8,765 by 987, and from the product subtract 4,695 X 823. Ans. 4,787,070. (16) The greater of two numbers is 1,004, and their dif ference is 49. What is their sum? Ans. 1,959. (17) A drover bought 36 oxen at $24 each and 23 cows at $96 each; how much did they all cost? Divide 2,937 x 864 by 923. Ans. $3,072. Ans. 2,749. (18) (19) Multiply 8,976 by 4,298, and subtract 98,765 from the product. Ans. 38,480,083. (20) 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. (b) $37,935. (21) The divisor is 1,389, the quotient is 748, and the remainder is 1,263. What is the dividend? Ans. 1,040,235. (22) The multiplicand is 4,896, and the product 3,862,944. Find the multiplier. Ans. 789. (23) A man left $25,375 to his widow and $12,450 to each of his seven children. How much did they all receive? (24) If I sell my farm for $375 an acre, I more for it than if it sold for $246 an acre. in the farm? (25) Solve the following by cancelation: Ans. $112,525. would get $31,734 How many acres Ans. 246 acres. ARITHMETIC (PART 2.) EXAMINATION QUESTIONS. (1) Find the sum of 3, 4, 5, 3, and 14. (2) What is the value of 33 +67-4? Ans. 424. Ans. 51. (3) A man bought 123 tons of coal. How much was left after he had burned 5 tons? Ans. 6 T. (4) How many dresses can be made of 53 yards of gingham, if each dress contains 63 yards? (5) Find the product of 833 X 671. (6) Divide 4 × 63 by 1. Ans. 8 dresses. Ans. 5,672. Ans. 167. (7) At $33 a yard, what must be paid for 24 yards of Ans. $93. (10) Subtract from 100 the sum of 8, 79, and 10. Ans. 721 (11) A cask containing 40 gallons leaks at the rate of 3 gallons an hour. In how many hours will it be empty? 65 (12) Find the value of 15% 46. eter. is 8 feet? Ans. 10 hr. Ans. 1913. times its diamwhose diameter For notice of copyright, see page immediately following the title page. |