4. Express as vulgar fractions co1375, '83, 7·19318, and divide '175 by 25, by 2'5, and by '0025.

5. Find the value of 3 of a guinea +125 of a pound + 2083 of a shilling + 5 of a penny; and bring 10 weeks 3 days to the decimal of a year.

6. A can walk 10 miles in 24 hours; B can walk II miles in 24 hours; they start to walk a match from London to Oxford, a distance of 55 miles; which will arrive first, and by what amount of time will he win?

7. The profit made by selling beer at Id. per pint above cost price is 50 per cent.: what is the gain per cent. made by selling it at 6d. a gallon above cost price? 8. Find the compound interest on 66%. 13s. 4d. for 2 years at 9 per cent.

9. What will be the cost of papering a room 20 feet long, 12 feet broad, 10 feet high, with paper 2 feet broad at 41d. per yard, an extra d. per yard being charged for hanging?

23

10. A sovereign weighs 199 of an oz. Troy: how many sovereigns may be coined out of a piece of metal weighing I lb. Troy? This metal being composed of pure gold and alloy, what is the value (expressed in money) of an oz. of pure gold?

2

VIII.

1. Find the G.C.M. of 5522 and 6006.

2. Multiply 2 acres 3 roods 25 poles by 16.

3. Divide 12 - by 3- 22.

4. Find the value of of 1/.+ of 4s. + 16 of 6s. 8d.,

and bring 16 poles to the fraction of a mile.

5. Bring to vulgar fractions 06125 and '1237.

6. Reduce 2 oz. 13 dwts. to the decimal of 1 lb., and of 13s. 6d. to the decimal of 1.

7. If a room is 27 ft. 5 in. long, 14 ft. 7 in. wide, 12 ft. 10 in. high, how much paper of a yard wide is required to cover the walls?

8. A piece of work can be done in 50 days by 35 men working together: if after 12 days 16 men strike, how soon will the remainder finish the work?

9. What is the amount at simple interest of 1275%. in 5 years at 3 per cent.?

10. Find the amount in 3 years of 180l. at 41 per cent. compound interest.

11. A pit 2 feet by 7, and 24 feet deep, cost 31. to dig out how deep will a pit be which is 7 feet by 9, and costs 41. IOS.?

IX.

1. Add together 31 guineas, 199 sovereigns, and 311 halfcrowns; and subtract the sum from 517 halfguineas.

8

44

2. Reduce 18 and to their lowest terms, and find the value of 24 × 8 of 7 + 5/3 of 3 × 15.

3. Find the L.C.M. of 12, 84, 120, 132, 156.

5. Express 81, 33, and 11 of 1 of 22 as decimals.

80

6. Reduce 4s. 24d. to the decimal of 5s., and find the value of '0375 of 17.

7. What is the present worth of 7171. 7s. 1d. due in 7 months at 44 per cent. per annum ?

8. Find the square root of 2900209 and 6577°21.

9. If I buy sugar at 17. 12s. 8d. per cwt., at what rate per lb. must I retail it to gain 74 per cent.?

10. If 8 men can reap 40 acres of wheat in 7 days, how many acres would 24 men reap in 28 days?

X.

1. What is the sum, difference, product, and quotient of 31 and 21?

2. Find the G.C.M. of 210, 258, and 903, and the L.C.M. of the first nine numbers.

3. Reduce 02916 to a vulgar fraction, and to a decimal.

4. Simplify 3 +

I

7+ 16

as a fraction, and find its

value to three places of decimals.

5. Find the value of 1'1625 of 5s. and 3.2 of 61. 6. How much air is contained in a room 10 ft. long, 8 ft. 6 in. broad, and 6 ft. 6 in. high?

7. Find the square root of 324, and of 300 to five figures.

8. What is the compound interest on 957. 16s. 8d. for 2 years at 3 per cent. ?

9. A cistern can be filled by one pipe in 20 minutes, and by another in 30 minutes: in how many minutes would both together fill it?

10. Indian 4 per cent. stock may be purchased at 91 what interest per cent. will this investment yield?

11. If a man can travel 360 miles in 12 days of 8 hours each, how many hours a day must he travel at the same rate to complete 450 miles in 20 days?

XI.

1. A bankrupt's debts amount to 309, and his assets to 1937. 2s. 6d. : how much will he pay in the pound?

2. If 2 men earn 15s. in 3 days, how much can 7 men

4. Find by Practice the cost of 8 cwt. 2 qrs. 16 lbs. at 21. 5s. 6d. per cwt.

5. Express as decimals, 18, and reduce 15s. 9åd. to the decimal of Il

6. What is the value of 625 of a shilling,

of 17.?

7. Divide 298.89 by 1107, and 0482796 by 1'2, 8. Find the square root of 106929 and of '000271. 9. What is the present worth of 75%. due 15 months nence at 5 per cent.?

10. I buy 1000l. of L. C. and D. R. stock at par, and I sell at 171: what do I lose by the transaction?

11. How many bricks 9 inches long and 4 inches broad will floor a square room that is 20 feet on each side?

XII.

1. A man owing his creditors 1207% 15s. makes a composition with them at 3s. 6d. in the pound: what amount does he pay them?

2. If 12 men plough 48 acres of land in 8 days, in what length of time will 5 men plough 24 acres?

3. Find the L.C.M. of 3, 8, 15, 21, 18.

5. Express as decimals; and as a vulgar fraction ⚫i236.

6. Find the value of 01375 of 17., and of 311 of half

a crown,

7. Divide 224615 by 167, and 004095 by 273; and multiply 163.2 by '0731.

8. Find the square root of 700569 and of 000196.

9. If I sell 2500l. 3 per cent. consols at 95, and invest the proceeds in debentures at par, paying 41 per cent., what difference does it make in my income?

10. What is the discount for nine months on 4200%. at 5 per cent. per annum?

11. What is the cost of papering a room 16 feet long, 12 feet wide, and 10 feet high with paper 21 inches wide at 34d. per yard?

XIII.

1. A has of a trading vessel, B 1, and C †, and the rest belongs to the master: what is his share?

2. A country gentleman drinks a pint of port every day during the last 40 years of his life: what is the whole quantity drunk, and its value at 2s. per pint?

3. Find the G.C.M. of 75582 and 42237.

4. If 2 acres will maintain 3 horses for 4 days, how long will 6 acres maintain 6 horses?

5. Find by Practice the cost of 3 cwt. 3 qrs. 173 lbs. at 14s. 91d. per lb.

6. Simplify 27 and give the sum of §, & of 4,

and of 3.

31 × 9

7. What is the value of 1275 of 1., and of 2% of I cwt.?