3. From 36 take 4. Multiply of 13 of 41 by 369 What part of cls yards is of an inch? 5. Give the rule for pointing off in multiplication of decimals, and explain its reason. 6. Reduce 0.0007648267 to a Vulgar Fraction. = 7. The product of three numbers 70.04597; two of them equal 3.91 and 3.0005 respectively. Find the third. 8. Reduce the Infinite Decimal 0.81247 to a Vulgar Fraction. 9. Find the amount of $1000 for 2 yrs. 2 mos. 12 ds., compound interest, at 6 per cent, payable annually. 10. Find the square root of 39.037504. 11. Find the cube root of 0.000000148877. 12. Find the third power of 3; of 0.3; of 0.003. 13. If a family of 9 persons spends $305 in 4 months, how many dollars will maintain it 8 months, if 5 persons more were added to the family? Multiply 10 ft. 3′ 2′′ by 6 ft. 7' 8". X. 1. What is a Prime Number? When are two numbers prime to each other? What Prime Factors compose the Greatest Common Divisor and the Least Common Multiple of several numbers? Find the Greatest Common Divisor and Least Common Multiple of 156, 234, and 260. 2. From of 12 subtract 12 of; reduce the answer to its lowest terms, and reduce it to a decimal. 4. Reduce 48 to its lowest terms. Reduce,,, 1300 2, and to their Least Common Denominator, add them, and reduce the sum to its simplest form. 5. Multiply 6.4 by 1.5. Multiply 0.64 by 0.15. Divide 701.5 by 2.806. Divide 0.7015 by 280.6. Reduce the last answer to its lowest terms as a Vulgar Fraction. 6. The number 209.069673692836 is composed of three factors, of which two are 20083.6 and 0.260075. Find the third factor. 7. State the rule for pointing off in the multiplication of decimals, and give its reason. 8. Reduce the Infinite Decimal 0.0136 to its lowest terms as a Vulgar Fraction, and verify the result by reducing back to a decimal. 9. Calculate the date at which a sum of $450, which was put at simple interest at 8 per cent, December 30, 1797, amounted to $642.30. 10. Reduce 6 fur. 30 r. 6 ft. 7 in. to the decimal of a mile. 11. Divide 5 cwt. 12 lbs. 4 oz. by 7. Multiply 2 ft. 3′ 7′′ by 9 ft. 5' 11". Reduce £17 9 s. 3 d. to Federal money, taking 4 s. 6d. = $1. 12. Find the proportion in which sugars worth 5 cents and 8 cents a pound must be taken to form a mixture worth 62 cents a pound. 13. How many digits compose the 3d power of a number containing two digits? What is the reason of your answer? What is the third power of 3? of 0.3? of 0.03? of 30? 14. Find the cube root of 39512.447416. 15. Find the square root of 13 to five places of decimals. 16. If 3 men can build a wall 60 feet long, 8 feet high, and 3 feet thick, in 64 days of 9 hours, how many days of 8 hours will 20 men require to build a wall 400 feet long, 9 feet high, and 5 feet thick? XI. 1. Which of the numbers 5, 9, 13, 18, 21, 25, are Prime Numbers? and which of them are prime to the number 10? 2. Find the Greatest Common Divisor and the Least Common Multiple of 630, 840, and 2772. 3. From of subtract 2 of 23; reduce the answer to its lowest terms; and reduce it to a decimal. 5. Multiply 76000 by 1.05. Multiply 0.076 by 0.0105. Divide 2926.5 by 0.3902. Divide 29.265 by 390.2. Reduce the last answer to its lowest terms as a Vulgar Fraction. 6. Reduce to their lowest terms as Vulgar Fractions the Infinite or Circulating Decimals 0.27, 0.0127, 0.0027, 0.0027. 7. Calculate the date at which a sum of $234, which was put at simple interest at 9 per cent, October 25, 1798, amounted to $351. 8. Reduce 6 fur. 30 r. 6 ft. 7 in. to the decimal of a mile. 9. Find the cube root of 9358 to two places of decimals. 10. If 6 men can build a wall 80 feet long, 10 feet high, and 9 feet thick, in 100 days of 9 hours, how many days of 10 hours will be required by 15 men to build a wall 200 feet long, 9 feet high, and 5 feet thick? XII. 1. Find the Greatest Common Divisor and Least Common Multiple of 144 and 780. 2. Reduce,,, and 1 to their Least Common Denominator. 3. What part of is ? 4. Subtract 15 from 183. 5. Divide 11⁄2 by 13. Multiply the two together. 6. Divide of of 21 by 10 7. Write 1 and 2 in a decimal form. Give the division in decimals of the first by the second. 8. Divide .09 by .0016. Multiply them. 9. Divide 876.196 by 2.12. If the decimal point were moved, in the first, two places to the left, and, in the second, one place to the right, how many times greater or less would the quotient be? 10. Find the cube root of 51 to three places of decimals. 11. Reduce to their lowest terms as Vulgar Fractions the Infinite or Circulating Decimals, 0.2343, 0.002343, 0.012343, 0.002343. 12. If a man travel 64 rods in .05 of an hour, how many minutes will it take him to go a mile? 13. Find the simple interest on $1000 for 6 yrs. 4 mos. and 15 ds. at 8 per cent. 14. How many feet, board measure, in a plank 12 ft. 4 in. long, 2 ft. 3 in. wide, and 4 in. thick? XIII. 1. Reduce 328 to its lowest terms. 4 2. Reduce, 11, 1, 5, and to their Least Common Denominator; add them, and reduce the result to a decimal form. duce to lowest terms by cancelling. 4. Multiply 37900000 by 2.005. Multiply 0.0379 by Write the numbers 37900000 and 0.0379 in 0.2005. words. 5. Divide 1909.14 by 0.02708. 27080. Divide 190.914 by 6. Reduce to their lowest terms as Vulgar Fractions the Infinite or Circulating Decimals, 0.0081, 0.0081, 0.1081, 0.108. 7. Find the simple interest on $1000 for 5 yrs. 4 mos. and 15 ds. at 20 per cent. To how much will $1000 amount in 4 years, at compound interest, at 20 per cent ? mile. 6 d. 8. Reduce 5 fur. 33 r. 9 ft. 10 in. to the decimal of a Reduce £17 8 s. 9 d. to Federal money, taking 4 s. $1. 9. Multiply 2 ft. 3' 7" by 9 ft. 5′ 11′′. 10. Find the cube root of 77869 to three places of decimals. Find the square root of 0.5 to five places of decimals. XIV. 20 1. Reduce 10 to its lowest term. 4840 to its lowest term. What is a Prime number? When are two numbers said to be prime to each other? 2. Find the value of 3-+4+18+; and reduce the result to its lowest terms, and also to a decimal form. 41 412 3. From 31 subtract (% of of 14)+ Simplify by cancelling. |