Arithmetic for the use of Schools. Designed to assist Candidates preparing for examination: ... with selections from the Army, Civil Service, Oxford and Cambridge Examination Papers1867 |
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Page 69
... ratio between diameter and cir cumference . ) ( 34 ) The legs of a right angled triangle are 24 · 5 and 40 ; required the hypotenuse . ( 35 ) If the hypotenuse is 35 and the perpendicular 21 , required the base . ( 36 ) The side of a ...
... ratio between diameter and cir cumference . ) ( 34 ) The legs of a right angled triangle are 24 · 5 and 40 ; required the hypotenuse . ( 35 ) If the hypotenuse is 35 and the perpendicular 21 , required the base . ( 36 ) The side of a ...
Page 70
... ratio equals the second ratio . Since a proportion is a statement that two ratios are equal , and since every ratio may be represented by a fraction , any proportion , as 14 : 3 :: 46 : 10 , may be written 463 / 10 ; multiplying by the ...
... ratio equals the second ratio . Since a proportion is a statement that two ratios are equal , and since every ratio may be represented by a fraction , any proportion , as 14 : 3 :: 46 : 10 , may be written 463 / 10 ; multiplying by the ...
Page 71
... ratio to 10 cwt . as 9d . has to the value of 10 cwt . To express the ratio correctly the quantities must be in the same denomination , consequently the 10 cwt . must be reduced to lbs . 3 lbs . 10 cwt . x 112 :: 9d .: x . 10 x 112 × 9 ...
... ratio to 10 cwt . as 9d . has to the value of 10 cwt . To express the ratio correctly the quantities must be in the same denomination , consequently the 10 cwt . must be reduced to lbs . 3 lbs . 10 cwt . x 112 :: 9d .: x . 10 x 112 × 9 ...
Page 72
... ratio between 10A . 3R . and 326A . 2R . 25p . is the same as the ratio between £ 17 4s . , the price of 10A . 3R . , and the price of 326A . 2R . 25P . 10A . 3R . 326A , 2R . 25p . :: £ 17 4s . 4 4 43 x 40 1306 20 344 40 52265 10453 ...
... ratio between 10A . 3R . and 326A . 2R . 25p . is the same as the ratio between £ 17 4s . , the price of 10A . 3R . , and the price of 326A . 2R . 25P . 10A . 3R . 326A , 2R . 25p . :: £ 17 4s . 4 4 43 x 40 1306 20 344 40 52265 10453 ...
Page 73
... ratio must exist between the two like quantities as there does between the unlike and the one required , and this will be found quite sufficient rule for working all examples in Proportion . The more Common Rule is as follows . Put the ...
... ratio must exist between the two like quantities as there does between the unlike and the one required , and this will be found quite sufficient rule for working all examples in Proportion . The more Common Rule is as follows . Put the ...
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Common terms and phrases
16 dwts 33 per cent 9 oz acres annual income Avoirdupois bought bricks broad bushels buys carats compound interest contains cube root decimal denominator divide divisor drams drawn ells English entire gain equal EXERCISE feet Find by Practice Find the average Find the simple Find the value formulæ francs furlongs gain per cent Gallons gals gold grains guineas Gulden halfpence Hoddesdon hundred improper fraction income tax insured interest and amount lowest terms mètre miles millions months Multiply navvies ounces paid person invests pipe premium present worth quantity quotient rate per cent ratio Reduce remainder rent roubles shillings Silbergroschen silver simple interest sold square root subtract sugar cost thousand tons trench Troy vulgar fractions week weighing whole number wide yards
Popular passages
Page 22 - An Improper Fraction is one whose numerator is equal to, or greater than, the denominator; as, f, f.
Page 25 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator, and they will form the fraction required.
Page 134 - If 5 men can perform a piece of work in 12 days of 10 hours each, how many men will perform a piece of work four times as large in a fifth part of the time, if they work the same number of hours in the day...
Page 136 - You are requested to write your name at the top of each of your papers ; to put the number to each question ; to send up the working as well as the answers ; and to send up your work on complete sheets of paper, not on scraps, which are apt to be lost. NB — You are particularly recommended to answer the questions in the order in which they are set ; not omitting any one unless you are unable to do it.
Page 24 - OPERATIONS WITH FRACTIONS A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 65 - If the answer is to be greater, place the greater of the two remaining numbers for the second term, and the less number for the first term...
Page 130 - If twelve men can dig a trench 15 yards long and 4 broad in 3 days of 12 hours each, in how many days of 9 hours each can 8 men dig a trench 20 yards long and 8 broad ? 22.
Page 130 - A person invests £9075 in the 3 per Cents, at 90|, and on their rising to 91 transfers it to the 3J per Cents, at 97^, what increase does he make thereby in his annual income ? 10.
Page 129 - If 3 men can mow 7 acres of grass in 5 days of 9 hours each, in how many days of 8 hours each will 5 men mow 3o acres ? 22.