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4. Reduce £864 18s. 6d. to halfpence. 5. Bring 25 guineas to half-crowns.

6. Bring 234568 square inches to acres.

EXERCISE XLVI.

1. A person counting his money in the dark thought he had £3 6s. 9d., but afterwards discovered he had mistaken a sixpence for a half-sovereign; what was the exact amount?

2. What will be the cost of 1000 books, supposing the printing cost 3s. 2 d. and the binding 94d. each?

3. Find the yearly income of a family, consisting of father, mother, and three children; the father earns 17s., the mother 10s., and each of the children 4s. 6d. per week.

4. How many cubes of wood measuring 2 ft. each way would exactly fill a space measuring 36 ft. long, 15 ft. wide, and 13 ft. deep?

5. How many yards of cloth at 15s. 6d. per yard can be purchased for £13 19s.?

6. The destination of a ship is 1500 miles; how long will the voyage occupy at the rate of 12 miles an hour?

EXERCISE XLVII.

1. The tolls of a gate were, carriage 4d., horse 1d., pig 4d., foot passenger d.; what amount would be taken in one day, supposing there were 15 carriages, twice as many horses, four times as many pigs, and eight times as many passengers?

2. How many pints would fill a 20-gallon tub?

3. If a regiment consisting of 2360 men spent on an average every week 24d. each in tobacco, what would be the total per year?

4. In 2567845 inches, how many miles, fur., pls., &c. ?

5. Divide £421 18s. Od. by 1679.

6. Multiply 2 y. 7 mo. 3 w. 5 d. 20 h. by 315.

EXERCISE XLVIII.

1. Divide a field measuring 8 a. 2 r. into 50 allotments.

2. A dealer purchased six bullocks at £25, and sixteen at £27 10s. each; he paid £15 for keep, one bullock died, and the rest he sold at 31 guineas each; how much did he gain or lose by the bargain?

3. A road half a furlong has to be drained; 36 yards of drain pipe are left from a former job; how much more is required?

4. Find the cost of 3 doz. pens, at 2s. 6d. per gross.

5. How many pieces, each 2 oz., can be cut from 25 lbs. 10 oz. of cheese?

6. After paying for 27 lbs. of beef at 94d. per lb., and 32 lbs. of mutton at 84d. per lb., I have £3 2s. 9d.; how much had I at first?

EXERCISE XLIX.

1. A decanter and a dozen wine-glasses cost 15s.; the decanter was worth 5s.; what were the wineglasses each?

2. A ton of coal cost £1 15s. ; what was this per cwt. ?

3. A lady ordered her grocer to send 20 poor women each 3 lbs. of sugar at 44d. per lb., 4 oz. of tea at 4s. 8d. per lb., 4 lbs. of currants at 4d. per lb.; required the amount of the bill.

4. Multiply 10 oz. 16 dwts. 18 grs. by 39, and give the answer in grains.

5. Find the value of one cwt of sugar at 4 d. per

lb.

6. How many farthings will pay a bill amounting to £8 16s. 4d.?

EXERCISE L.

1. In a town of ten thousand people there are three thousand men and three thousand one hundred and nine women; required the number of children, and how many more women than men?

2. In a certain street a lamp is placed outside every tenth house. There are nine lamps. Tell how many more houses than lamps ?

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3. In a basket of apples, pears, and nuts, there are 100 in all. Take the apples as 25, the pears as 30; how many nuts are there?

4. Distribute £1 5s. among a class of nine boys, giving a double share to the first; how much will each of the others receive?

5. How much will it take to pay the wages of six men at 4s. each, and 3 boys half as much each?

6. How many persons can be admitted to an exhibition for 10s. where the charge is 3d. each?

EXERCISE LI.

1. A mother and child earned together at their needle 6s. per week; the mother worked twice as fast as the child; what was each one's share?

2. A man bought a four-legged table, and was charged 2s. 6d. for one leg, double this amount for the second, and so on, to the fourth; required the cost of the table.

3. In a mixed school of 120 children the girls were twice as many as the boys; how many cap pegs would be required for the boys, and how many boots or shoes for the girls?

4. In 25046716 square inches how many acres?

5. Multiply 14 m. 3 fur. 15 pls. 3 y. 2 ft. 9 in. by 87.

6. Divide 6 tons, 2 cwts. 1 oz. by 6 lbs. 2 oz.

EXERCISE LII.

1. On parade were 156 soldiers, six of them were officers in charge; how many men were under each officer?

2. In a procession were six four-horse carriages, twelve single-horse cabs, and fifty-six saddle horses; how many horses in all, and how many carriage horses?

3. A woman, after selling a basket of oranges at 1d. each, had 10s. 6d. ; how many oranges had she sold ?

4. What will 300 half-penny cakes cost?

5. A traveller leaves home at 6 in the morning, walks four miles

an hour, rests half-hour each for breakfast and tea, one hour for dinner, and finishes his journey at 6 o'clock in the evening; how far did he walk?

6. How many farthing cakes can be purchased with 5s. 24d.

EXERCISE LIII.

1. A person stole from a till a £5 note, two sovereigns, half-asovereign, and a florin; he left £23 4s. 6d. behind; what was the original amount?

2. A woman gave a florin for 2 lbs. of beef, and received 4d. change; what was the beef per lb.

3. A boy has 6 bags with an equal number of nuts in each; he gives 30 each to two companions, and then finds he has four and a half bags left; how many nuts had he at first?

4. Bring 4 ac. 2 rds. 34 pls. 25 yds. to feet.

5. Bring 3492 weeks to years, and the odd weeks to seconds.

6. In 56491 farthings, how many pounds?

EXERCISE LIV.

1. On a kitchen-dresser were 19 dishes, 33 plates, 14 glasses, 17 cups, 21 saucers, and 16 other pieces; by how many did the highest exceed the lowest, and how many pieces were there in all?

2. A gentleman pays his groom £50, servant-man £35, cook £14, housemaid £12, and page £6, per annum; what is the total amount, and how much do the first two get more than the last two?

3. Add together, £25, 25s., 25d., and 25 farthings.

4. A farmer bought 56 sheep of one person, 33 of another, and 129 of another; on his way home he sold 42; how many had he left ?

5. A gentleman having £5 to distribute, gave £1 10s. to a charity, and divided the remainder among 28 poor families; how much did each receive?

6. Divide £8. 6s. equally among 6 men, 20 women, and 85 children, and tell how much each will receive.

EXERCISE LV.

1. A boy had 24 marbles in one bag, 34 in another, 12 in another, and 16 in each of two others. After losing one half of the whole, how many had he left?

2. In a public school are three hundred scholars; 150 pay 11⁄2d., 100 pay 24d., and the rest pay 4d. per week; required the total amount in farthings.

3. How many days, hours, and minutes are there in June, July, and August?

4. Multiply 2 m. 6 fur. 23 pls. 2 yds. 2 ft. 6 in. by 234.

5. Bring 824 half-crowns to guineas.

6. Divide £864 18s. 64d. by £2 3s. 2d.

EXERCISE LVI.

1. Add together 33 gs., £26 44s., 36d., and 19 farthings.

2. A carpenter has in one drawer 106 nails, 4 doz. in another, and 22 doz. in another; after selling a dozen out of each drawer, how many has he left?

3. If there are 33 grains of wheat in an ear, and an acre of land can be sown with 5 pecks, how many bushels will seven acres produce ? 4. Divide a thousand farthings among 150 children.

5. How much is left out of £1 after paying 2s. 34d. for tea, 1s. for milk, 3s. 74d. for cream, 73d. for sugar, and 30d. for sundries?

6. A tea-dealer had two chests of tea, each weighing 1 cwt. 2 qrs.; having sold 1 cwt. 3 qrs. 17 lbs., how much has he left?

EXERCISE LVII.

1. A gentleman purchased a carriage for £50, a pair of horses at £25 10s. each, two sets of harness for £30 15s., and then sold the whole for £136 10s. 6d. ; how much did he gain or lose by his bargain?

2. Suppose the telegraph posts be 120 feet apart, how many do you pass in travelling 100 miles.

3. A joint of butcher's-meat cost 14s. 73d. at 94d. per lb.? how much did it weigh?

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