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 ? 31 2. Subtract f of f from f of , add to the remainder 18, 皇 41 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. 8. A sum of money was put at interest, at 72 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 91 cents a pound? XVI. 1. What is the Least Common Multiple of two or more numbers? of 48, 98, 21, and 27 ? 4} 27 2. Add ; divide the result by 711, and 7} 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 41 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, 3ş feet wide, and 43 feet deep, how many men will be required to dig a trench 2 degrees of hardness, 1684 feet long, 71 feet wide, and 24 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 1 of 1f take 21 add to the remainder g, and divide the result by 64. 3. Divide 0.00091471 by 9.43. Write the quotient in words. 4. How many yards of carpet which is À 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. 3. Divide 10 times ( of 19 of 97%) by 121 XVIII. 1. Find the Greatest Common Divisor and the Least Common Multiple of 340200, 583200, and 2268000. 2. From 1 of 24 subtract the product of 0.075 and 13, and divide the remainder by 12. Reduce the result to its lowest terms as a Vulgar Fraction, and also to a decimal form. 2 71 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 0.04 to 0.382, expressing the result as an Infinite or Circulating Decimal. 6. A certain square field contains 38.75 acres. Compute the length of one side of the field in metres. Given one square metre=1550 square inches. . 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 1130410 184806 to its lowest terms. What is a subtract **+(tb or of 48). 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. 45 2. From 51 subtract of 37 23 3. Divide 33368949.63 by 0.007253. What is the 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. 3 77 371 3. From the sum of 134 and subtract I, and divide the result by the product of 37 and 2). 4. Find the cube root of 10 to four places of decimals. 8 2 63 |