EXERCISE XXIII.

1. A gentleman paid 10s. for a railway ticket at 24d. per mile; how far was he going?

2. The rent and taxes of a house amount to 15 guineas per quarter, the rent is four times as much as the taxes; what is the yearly rental?

3. If I spend one half of my money in tea, one half of the remainder in sugar, and have 3ąd. left, how much had I in the first place?

4. Multiply 6 tons 14 cwts. 2 qrs. 1 lb. by 256.

5. How many carriages with six seats each are required to convey 87 passengers? how many would be left for the last carriage? 6. Divide 3 m. 2 f. 30 p. by 39.

EXERCISE XXIV.

1. At a certain railway station 60 men are employed; one half are porters at 25s., one-sixth clerks at 35s., the others at 27s. 6d. per week; find the amount of wages for one week.

2. Ten persons invite 15 others to dine with them; if the dinner cost 10s. 6d. each, how much will each of the ten have to pay?

3. How many books of 240 pages can be made out of 10 reams of paper?

4. In a public school are 120 pupils in average weekly attendance ; one-third pay 3d., one-third pay 2d., and the rest 1d. per week; they have eight weeks holiday in the year; what will be the income for the year?

5. If 16 men take a fortnight to do a certain piece of work, how many men would do it in half the time?

6. In a street of 66 houses, with an average number of 7 residents. in each, are three public-houses; how many persons are there to onepublic house?

EXERCISE XXV.

1. A builder engages to erect a lot of cottages at £30 a room. first, last, and two centre cottages are to have five rooms each, and four others four each; required the cost of the eight cottages.

The

2. Suppose a man spend 3d in beer, and 1d. for tobacco per day, what will it amount to in a year?

3. A man spends 3s. per day, and puts by £2 15s. the first day of every month; required his income.

4. In 46 guineas, pounds and shillings, how many half-crowns ? 5. In 24689 minutes how many weeks, days, and hours?

6. Divide £876 14s. 94d. by 365.

EXERCISE XXVI.

1. In a village are 40 public lights, which are charged at 13s. 9d. each per month; what is the whole cost per year?

2. An article worth £16 was raffled for at 1s. each subscriber, the winner to pay £1 extra; 60 persons took three chances each, 40 two chances each, and 30 one each; a person of the first lot was successful. Find how much the article cost him, and how much the owner had to sacrifice?

3. Change 1000 florins into guineas.

4. If I have a salary of £250 per annum, and have to pay 7d. out of every pound to the tax-collector, how much will he demand?

5. After subtracting £264 19s. 8d. there were left £100 and 100 half-crowns; what was the original amount?

6. A news-boy sold 126 penny papers, for which he had given 9d. per dozen; what was his profit ?

EXERCISE XXVII.

1. How many miles can a person travel for 18s. 8d. at 1d. per mile.

2. How much would it cost to paint six venetian blinds, two having 50, two 45, and two 40 laths, at 14d. each lath?

3. If a table and six chairs cost £3 15s., what is the value of each chair, the table being worth two guineas?

4. A man and his boy had a piece of work in hand which they could do in a week; at the end of the fourth day the boy was taken

ill; how much extra time would his father require in order to finish the work by himself (the man doing twice as much work as the boy)? 5. The public lamps in a town numbered 1246; how much did they cost a year for lighting at £3 7s. 6d. each?

6. Divide 26m. 6f. 26p. 2 yds. 2 ft. 8 in. by 494.

EXERCISE XXVIII.

1. Three chimney ornaments cost 1 guineas; the centre one was equal in value to the other two; what was the price of each?

2. A window is 30 feet from the ground; a ladder of how many bars will it take to reach it, supposing each bar to be 10 inches apart, and 3 bars allowed for the oblique position in which the ladder is placed?

3. If 3543 bricks are used in building three chimneys, how many will be required for 13?

4. Bala Lake is four miles long and twelve hundred yards broad; bring both to feet, and multiply them together.

5. A mother 28 years of age is four times as old as her child; find the difference in hours between the ages of the two.

6. Two persons start together to walk to a place 20 miles distant; one walks 4 miles, the other 3 miles, an hour. How long will one be at his destination before the other?

EXERCISE XXIX.

1. If a boy earn 2d. an hour and work nine hours a day, how much will he earn in six weeks?

2. A woman was sent to a market 10 miles off, where she sold 25 lbs. of butter at 1s. 3d. per lb., six fowls at 7s. a couple, 60 eggs at 14d. each; how much money ought she to bring home after paying 1d. per mile railway fare, 6d. for porterage, 8d. market toll, and 1s. 6d. for refreshment?

3. If oranges are sold 7 for sixpence, how many can be purchased for 15s. 6d?

4. Bring £81 14s. 2ąd. to farthings, and divide them among 144 persons.

5. In a purse are pounds, half-crowns, and sixpences, of each an equal number, amounting to £8 1s.; how many were there of each? 6. Bring 46 acres, 2 rds. 22 pls. to square feet.

EXERCISE XXX.

1. Divide £9 among A B, C, giving A twice as much as C, and B 30 shillings more than A.

2. Suppose 3 lambs to weigh 14 cwt. each, and to be worth 84d. per lb., how much would a calf weigh to be equal in value at 8d. per lb. ?

3. If 15 men can do a piece of work in 4 weeks, how many men will do the same kind of work in 13 weeks ?

4. If a man earn 6s. per day, how long will he be earning £8 11s.?

5 A cart weighs 9 cwt. 3 qrs., the load placed in it 1 ton 15 cwt. ; how much does one exceed the other, and what weight has the horse to draw?

6. 300 persons attended a public meeting where a collection was made; in the boxes were 2 half-crowns, 4 shillings, 16 sixpences, 20 four-penny pieces, and 16 pence; what was the average contribution of each person present?

EXERCISE XXXI.

1. How long will it take to walk from Reverton to Lake Tor, a distance of nineteen miles, at four miles an hour?

2. How many halfpenny cakes can be purchased for £1 3s. 34d. 3. Divide 1 mile by 31⁄2 feet.

4. How many times does a wheel 9 feet in circumference turn, in passing over four and a half miles.

5. Divide 6 acres. 3 rds. 28 pls. 23 yds. into six equal portions, and give the answer in square feet.

6. How many days, hours, minutes, and seconds, are there in December and January ?

EXERCISE XXXII.

1. At an election the successful member poled 2364 votes, which which was a majority of 160; how many persons voted?

2 What number must be added to two thousand and eighty-five to make it fifty-two thousand seven hundred and forty-seven?

3. What change out of a £5 note must be received after paying for 16 railway tickets at 3s. 43d. and four at 3s. 9d. each ?

4. If a factory turn out 5780 pens a day, how many will this amount to in a month of four weeks?

5. Travelling a week at the rate of 150 miles a day at d. per mile, how much did it cost?

6. A wheelwright having 100 spokes made a set of waggon wheels with 12 spokes in each; how many spokes had he left?

EXERCISE XXXIII.

1. Having to travel 42 miles by rail at 14 per mile, how much did it cost after paying 1s. for porterage and 3s. 6d. cab hire.

2. A father sending his son to sea gave him £20; his railway fare cost 25s., hotel bill 40s., outfit 15 guineas, and boat hire 5s. 6d. ; how much had he left?

3. When butter is being sold at 1s. 3d. per lb., how much can be bought for 9s. 81d.?

4. Divide £824 17s. 64d. by 231d.

5. Bring 8461 scruples to ounces.

6. In 6 guineas, £4 18s., and fourpence, how many fourpennypieces?

EXERCISE XXXIV.

1. To what number must thirty-seven thousand be added to make ninety-four thousand six hundred and ten?