## The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt. Exercise book, Volume 2 |

### Common terms and phrases

12 days 9 places 99 EXERCISE A's share acres amount annum Austrian B's to C's bought broad brokerage bushels C's to D's centimetres circumference compound interest Consols continued fraction convergents cubic centimetres cubic foot cubic metre debt decimals decimetres discounted Divide dividend dwts effect is produced English miles EXERCISE XXV Express feet Find in miles Find the cost Find the difference Find the interest Find the length Find the limits Find the sum Find the value francs French gain or loss gallons gold grains grammes guineas hectare hectolitre hectometres horses invested kilometres millimetres minutes months Multiply myriametres nearest integer nonary paid piece profit Prussian quotient ratio reckoned at 365 reckoned yearly Reduce remainder sell sold square root sugar sum of money Sum the series tons troy vulgar fractions wide worth yards دو

### Popular passages

Page 67 - What can he pay in the £, and what will a creditor lose on a debt of £57 ? (108) An estate with a rental of £8790 is sold for £351,600 In order that it may yield the purchaser 3f % for his money, how much % must he raise the rent ? (109) A square court-yard costs £38. 10s. 5d. to pave, at 3s.

Page 44 - If 15 pumps, working 8 hours a day, can raise 1260 tons of water in 7 days, how many pumps, working 12 hours a day, will be required to raise 7560 tons of water in 14 days ? (6) If 24,000 yds.

Page 73 - Find the smallest exact number of ounces that can bo coined into an exact number of sovereigns. , (221) Find the weight of a cubical mass of iron whose edge is 2 ft., 5 in., 3 pts., if the iron is 7'157 times as heavy as water, and a cubic foot of water weighs 1000 oz. av. (222) How high is a hill whoso ascent is 1£ miles in length, if the road rises -Ц- inches in 55-25 feet?

Page 65 - ... {80) A ship's company take a prize of £1000, which is to be divided amongst them in proportion to their pay and to their time of service ; the officers, 4 in number, have 40s. each a mouth, and the midshipmen, 12 in number, have 30s.

Page 55 - ... side. By means of these properties, it follows that two sides of a right.angled triangle being given, the third side can be found. EXAMPLES. 1. How long must a ladder be, to reach to the top of a house 40 feet high, when the foot of it is 30 feet from the house ? In this example, it is obvious that the ladder forms the hypotenuse of a right-angled triangle, whose sides are 30 and 40 feet respectively.

Page 69 - Find the ratioof a sidereal to a solar day, to 5 places. (166) Two shepherds, A and B, owning a flock of sheep, agree to divide it ; A takes 144 and B 184 sheep, paying £70 to A. Find the value of 1 sheep. (167) Among how many persons must ¿£158.

Page 52 - A man agreed to work a days on these conditions : for each day he worked he was to receive с cents, and for each day he was idle he was to forfeit d cents. At. the end of a days he received m cents. How many days was he idle ? 21. A sum of money is divided among three persons ; the first receives a dollars more than a third of the whole sum ; the second receives...

Page 30 - ... per cent stock at 94. Find the alteration in his income. 5. If 56 cubic feet 1044 cubic inches of timber are required to floor a room 29} feet by 25J feet, what is the thickness of the boards ? 108.

Page 69 - ... of his original garrison left, surrendered. How many men were there at first ? (163) A merchant sells tea to a tradesman at a profit of 60 %, but the tradesman becomes bankrupt and only pays 13s.

Page 55 - Results to be found to 4 places : (1) A rectangular room is 24 ft. long and 18 ft. broad. Find the diagonal of the floor. (2) A tower is 180 ft. high ; I stand 19 ft. away from the base. How far am I in a straight line from the top of the tower ? (3) The disc of a pendulum 85 inches long touches in its sweep two points, A and B, which are in the same horizontal line, and are 1 inch above the lowest position of the disc. How far...