13. If of a yard of velvet cost gl., what will of a yard cost?

14. The quick time, or step, in marching being two paces per second, or 120 per minute, at 28 inches each, at what rate per hour does a company march on a good road? and how long will they be in arriving at a garrison 20 miles distant, allowing a halt of 1 hour by the way for refreshment?

II.

1. Add together 1, 4, 4, 5, 1, 11.

2. Find the G.C.M. of 2526 and 2947.

3. Subtract 002 from II, and multiply or by 1'01. 4. Divide 29 of 1% by 31 of 3 of 1.

5. If 5 of 17. buys 4 of a gallon, how much may be bought for 6s. 3d.?

6. Divide 1'44 by 1'2, by 12, by '012, and by 120.

7. Find the simple interest on 375%. at 4 per cent. for II years.

8. Divide 1300l. into three parts in the ratio of 1, 1, 1. 9. Find the square root of 449°44 and of 0001. 10. What is the cost of carpeting a room 21 ft. by 30 ft. with carpet a yard wide at 4s. 6d. a yard?

11. If 12 men do a piece of work in 15 days of 10 hours each, how many days of 9 hours will 10 men take to do it?

12. Find the income produced by investing 4500/. in the 3 per cents. at 90, and that produced by investing 2850/. in the 3 per cents. at 95.

13. A steam engine and a horse start together; the engine does the first mile in 5 minutes, the horse in 4; after this mile the pace of the engine is 30 miles per hour, that of the horse 20: which wins in a 3-mile race, and by how much?

2. Reduce 12s. 6d. to the decimal of 17., and 7 lb. to the decimal of I cwt.

3. Divide

of of 44 of 21 by 1 of 41 of 33 of 14. 4. Find the compound interest on 100/. for 2 years at IO per cent.

5. If 24 men do a piece of work in 14 days of 9 hours, how many will do it in 12 days of 7 hours?

6. Extract the square root of 17161.

7. Find the L.C.M. of 10, 14, 15, 21, 30, 42.

8. What sum invested in the 3 per cents. at 92 will produce an income of 100l. per annum ?

9. If cotton is bought at 27. 6s. 8d. per cwt., at what price per lb. must it be sold to bring in 5 per cent. profit?

10. What will it cost to carpet a room 20 ft. 3 in. long by 16 ft. wide with carpet 2 ft. 3 in. wide at 3s. 4d. per yard?

11. A and B together do a piece of work in 5 days; A alone would do it in 7 days: in how many days would B alone do it?

IV.

1. Find the value of an acre of land at 81d. per square foot.

2. Add together,,,,, 1, and express the sum in decimals.

3. Simplify

4. Reduce

of 3s. 4d. to the fraction of a guinea, and

6.72 oz. to the decimal of a cwt.

5. Divide 36'33 by 210, 35 by '05, 002 by 200.

6. Find the square root of 2209 and of 22.1841.

7. Find the simple interest on 20667. 15s. 10d. for 4 years at 21 per cent., and the compound interest on 9030%. for 2 years at 3 per cent.

8. In how many days of 12 hours each would 72 men do a piece of work which 60 men can do in 30 days of 9 hours each?

9. Find the difference between the discount allowed at 5 per cent. on 810l. paid 3 months before it is due, and the interest charged for the loan of the same sum for the same period at the same rate.

10. A grocer mixes 13 lbs of tea at 3s. 4d. with 3 lbs. at 4s. 10d.: at what price must he sell the mixture so as to gain a penny a pound?

11. Find the value of 3. + 73s. + 11 of a guinea, and of 35 of a ton + 39 of a cwt. + 44 of a qr.

V.

1. Find the G.C.M. of 124321 and 197451.

2. Reduce to its lowest terms

4. Give the rule (1) for placing the point in division of decimals, (2) for reducing a circulating decimal to a vulgar fraction.

5. Reduce '075 of a £ to the decimal of 4s. 6d. ; and 2 square poles 9 yards 4 feet 72 inches to the decimal of I acre 60 square yards.

6. Find by Practice the value of 2 tons 7 cwt. 56 lbs. at 2/. 10s. 6d.

per cwt.

7. A man buys eggs at 111d. per dozen, and sells them at 2d. each: what does he gain per cent. ?

8. Nine men were engaged to dig a trench 3 feet deep, 42 feet wide, and 120 yards long in a certain time; but before it was begun it was discovered that the trench must be 5 feet deep, 180 yards long, but only 4 feet wide: how many men must be employed in order that it may be completed in the required time?

9. Find the simple interest on 3877. 10s. for 5 years at 31 per cent.

10. What sum, if laid out at 31 per cent. for 6 years, will produce 281. 17s. 6d. interest at simple interest?

11. What will be the cost of papering a room 14 feet 6 inches long, 10 feet 6 inches broad, and 8 feet high with paper 2 feet wide at 74d. per yard?

VI.

1. Find the L.C.M. of 3, 5, 7, 9, 15, 63.

2. Divide I

(1 + 1 + 1⁄4) by 1 - 1 of 1 of 24, and

2

3. Reduce I lb. Troy to the fraction of 1 lb. Avoirdupois.

4. Multiply '000725 by 31-25, and divide the product successively by 6.25, 625, and '0625.

5. Reduce to vulgar fractions '0015625, '05, ‘03i8. 6. Find the value of 3.15625 of a £.

7. Find the square root of 106929 and 41209.

8. At the census of 1851 the population of Oxford was 27843; at the census of 1861 the population was 27560: what was the decrease per cent. ?

9. A can walk 5 miles while B is walking 4: supposing A to walk 6 hours a day, and B 7 hours a day, how many days will B take in walking a distance which A can accomplish in 14 days?

10. Find the simple interest on 3541. 3s. 4d. for 3 years at 24 per cent.

11. A quadrangle is 50 feet long by 40 feet broad; it is crossed in each direction by a path 10 feet broad, and the remainder has to be turfed: how many strips of turf 14 foot long and 6 inches broad will be required for the purpose?

10- and of + + &
1/2 + 1/ 9호

9

2. 4500/. is divided between A, B, C, D; A receives ; B, C, each of the remainder: how mnch is left for D?

3. Reduce I lb. 12 oz. (Avoirdupois weight) to the fraction of I cwt. 2 qrs., and of 6s. 8d. to the fraction of a guinea.