4. Multiply 2.708 by 0.007005. What is the product of 2.708 by 70050000? Write the numbers 0.007005 and 70050000 in words. 5. Divide 283891.3 by 0.07084. What is the quotient of 2.838913 divided by 708.4? 6. From 1 sq. rd. 5 sq. ft. subtract 7 sq. yd. 139 sq. in. Divide £32 16 s. 3 d. by 7. 7. Reduce 44920.9025 hours to years (of 365 days), days, hours, minutes, and seconds. 8. Find the cube root of 0.61 to five places of decimals. Find the square root of 79000 to three places of decimals. 9. Reduce to their lowest terms as Vulgar Fractions the Infinite or Circulating Decimals 0.00054 and 0.20054. Add 0.03 to 0.462, expressing the result as an Infinite or Circulating Decimal. 10. A certain sum of money was put at simple interest at 9 per cent, December 21, 1790. At what date did it become tripled? XV. 1. What is the Greatest Common Divisor of two numbers? of 4760 and 3432 ? divide the result by 67, and change the quotient to a decimal. 3. Divide 0.000647808 by 6.72. Write the quotient in words. 4. I owe three notes bearing interest from date: the first, dated June 1, 1866, is for $ 450.00; the second, dated Dec. 17, 1866, is for $750.00; the third, dated March 15, 1867, is for $600.00. I wish to substitute for these a single note for $1800.00: what should be the date of it? 5. Find the square root of 0.9. 6. Find the cube root of 751089.429. 7. Find the cube of 4; of 0.4; of 0.0004. 8. A sum of money was put at interest, at 7 per cent, October 30, 1866: at what date will it be tripled? (A year 365 days.) 9. If 4 men dig a trench 84 feet long and 5 feet wide in 3 days of 8 hours each, how many men can dig a trench 420 feet long and 3 feet wide in 4 days of 9 hours each? 10. How many feet, board measure, in a plank 12 ft. 4 in. long, 2 ft. 5 in. wide at one end, 2 ft. 1 in. wide at the other, and 4 in. thick? 11. In what proportion shall sugars worth 7 and 12 cents a pound be taken to form a mixture worth 9 cents a pound? XVI. 1. What is the Least Common Multiple of two or more numbers? of 48, 98, 21, and 27 ? 2. Add and divide the result by 71, and 2 61% change the quotient to a decimal. 3. A certain bank declares a semiannual dividend of 4 per cent: what can I afford to pay for its shares if I wish to get 6 per cent a year for my money? 4. Reduce .445 of an acre to rods, feet, and inches. 5. Divide 0.0018891 by 3.75. Write the quotient in words. 6. Find the cube root of 748613.312; of 0.27. 7. Find the square of 0.9; of three millionths. Write the results in words. 8. How many feet, board measure, in a plank 16 ft. 4 in. long, 1 ft. 7 in. wide, and 4 in. thick? 9. A, B, and C hire a pasture for $92. A pastures 6 horses for 8 weeks, B 12 oxen for 10 weeks, and C 50 cows for 12 weeks. Now, if 5 cows are reckoned as 3 oxen, and 3 oxen as 2 horses, how much shall each man pay? 10. If 496 men, in 5 days of 12 h. 6 m. each, dig a trench of 9 degrees of hardness, 465 feet long, 33 feet wide, and 4 feet deep, how many men will be required to dig a trench 2 degrees of hardness, 168 feet long, 71⁄2 feet wide, and 2 feet deep, in 22 days of 9 hours each? XVII. 1. What is the Least Common Multiple of two or more numbers? What is the Least Common Multiple of 3150 and 2310? 2. From of 12 take divide the result by 64. 21 add to the remainder, and 3. Divide 0.00091471 by 9.43. Write the quotient in words. 4. How many yards of carpet which is of a yard wide does it require to cover a floor 17 feet long and 16 feet 6 inches wide? 5. Reduce 0.758762 acres to square rods, square feet, etc. 6. Find the square root of 0.002539 to five places of decimals. 7. Find the cube root of 0.15 to three places of decimals. 8. What is the interest of $875.26 from October 10, 1866, to July 10, 1868, at 7 per cent? = 9. One metre (in Long Measure) 39.37 inches. Express one foot in the metric system, both in Long Measure and in Square Measure. XVIII. 1. Find the Greatest Common Divisor and the Least Common Multiple of 340200, 583200, and 2268000. 2. From of 2 subtract the product of 0.075 and 11, and divide the remainder by 12. Reduce the result to its lowest terms as a Vulgar Fraction, and also to a decimal form. 3. Divide 10 times (of 12 of 9%) by 4. Divide 189695.4 by 2.708. What is the quotient of 0.01896954 divided by 2.708? Write the latter quotient in words. 5. Reduce to their lowest terms as Vulgar Fractions the Infinite or Circulating Decimals 0.0036 and 0.0136. Add 0.07 to 0.382, expressing the result as an Infinite or Circulating Decimal. 6. A certain square field contains 38.75 acres. the length of one side of the field in metres. square metre 1550 square inches. = = Compute Given one 7. The sum £46 6 s. 8 d. was put at interest at 4 per cent on the 20th June, 1868. Required the amount on the 5th May, 1875. 8. Find the cubic root of 77869 to three places of decimals. 9. At what rate of compound interest will $ 2500 amount in 3 years to $4320? At what rate of simple interest? 1. Reduce 184800 1180410 to its lowest terms. What is a Prime Number? When are two numbers said to be prime to each other? Reduce the numerator and denominator of the above fraction to their Prime Factors. 3,7% 45 2. From 54 subtract (% of 1 of 41).. What is the 3. Divide 33368949.63 by 0.007253. quotient of 3336.894963 by 72530? What is the third power of 0.1? of 100? Write these answers in words. 4. Find the cube root of 0.0093 to five places of decimals. Find the square root of 531.5 to three places of decimals. 5. Reduce to their lowest terms as vulgar fractions the Infinite or Circulating Decimals 0.225, 0.00225, and 0.25225. Reduce to a Circulating Decimal. 6. From 1 sq. rod 5 sq. ft. subtract 7 sq. yd. 139 sq. in. 7. Find the amount of £50 12 s. 5 ds. at simple interest at 8 per cent, at the end of 5 yrs. 2 mos. and 3 ds. 8. One metre=39.37 inches. Compute from this datum the value of 4 miles in kilometres. XX. 1. Divide two thousand five hundred one and four tenths by four thousand one hundred twenty-five ten millionths. Divide 1.29136109 by 184.3, and write the quotient in words. 2. How do you divide one Vulgar Fraction by another? Give the rule and the reason of the rule. Illustrate by an example. the result by the product of 31 and 21. 4. Find the cube root of 10 to four places of decimals. |