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LAND OR SQUARE MEASURE.

A. R. 116 1 87 3

13.

14. p. ft.

in. A. R. p. yd. 13 100 113 139 1 17 18 17 200 117 97 3 18 30

ft. in.
1 30
1 31

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CIRCULAR MOTION. 25.

26. S.

S. 11 ä 1'3 15

i 23 37 359 9 29 17 36

9 15 38 47

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MEASURING DISTANCES.
27.

28.
M. fur. ch. p.
1.
M. fur. ch. p.

1.
21 3 5 2 17

31 7 1 1 19 9 5 8 1 20

18 1 3 23

11

5 0 2 2

Section 11.

EXERCISES IN COMPOUND ADDITION AND SUBTRACTION.

1. What is the amount of the following quantities of gold ; 41h. 8oz. 13dwt. 8gr., 5lb. lloz. 19dwt. 23gr., 81b. Ooz. 17dwt. 15gr., and 181b. 9oz. 14dwt. 10gr. ?

Ans. 371b. 7oz. 5dwt. Egr. 2. An apothecary would mix 7lb. 33. 23. 29. Igr. of rhubarb, 21b. 103. 03. 10. 13gr. of cantharides, and 2]b. 33.73.29. 17gr. of opium ; what is the amount of the compound ? Ans. 121b. 53.33. 03. 11gr. 3. Add together 17T. 11cwt. 3qr. 111b. 12oz., 11T. 17cwt. lqr. 191b. lloz., 53T. 19cwt. lqr. 171b. 8oz., 27T. 19cwt. 3qr. 18lb. 9oz., and 16T. 3cwt. 3qr. Olb. 13oz.

Ans. 127T. 12cwt. Iqr. 121b. 5oz.

4. A merchant has 3 pieces of cloth; the first contains 37yd. 3qr. 3na., the second 18yd. Igr. 3na., and the third 31yd. lqr. 2na. ; what is the whole quantity ?

Ans. 87yd. 3qr. Ona. 5. Sold 3 loads of hay; the first weighed 2T. 13cwt. Iqr. 171b., the second 3T. 27lb., and the third IT. 3qr. illb. ; what did they all weigh?

Ans. 6T. 14cwt. Iqr. 271b. 6. What is the sum of the following distances ; 16m. 7fur. 18r. 14ft. llin., 19m. lfur. 13r. 16ft. 9in., 97m. 3fur. 27r. 13ft. 3in., and 47m, 5fur. 37r. 13st. 10in ?

Ans. 181m. 2fur. 18r. Oft. 3in. 7. A gentleman has three farms, the first contains 169A. 3R. 15p. 227ft., the second 187A. IR. 15p. 165ft., and the third 217A. 2R. 28p. 165ft. ; what is the whole quantity ?

Ans. 574A. 3R. 20p. 12 ft. 8. There are 3 piles of wood, the first contains 18cords, 1 16ft. 1000in., the second 17cords, 111ft. 1600in., and the third 21cords, 109ft. 1716in. ; how much in all ?

Ans. 58cords, 82ft. 860in. 9. John Thomson has four casks of molasses, the first contains 167gal. 3qt. Ipt., the second 186gal. Iqt. 1pt., the third 108gal. 2qt. Ipt., and the fourth 123gal. 3qt. Opt. ; how much is the whole quantity ?

Ans. 586gal. 2qt. 1pt. 10. Add together 17bu. 1pk. 7qt. Ipt., 18bu. 3pk. 2qt., 19bu. 1pk. 3qt. 1 pt., and 5lbu. 3pk. Oqt. lpt.

Ans. 107bu. lpk. 5qt. Ipt. 11. James is 13y. 4m. 13da. old, Samuel is 12y. Ilm. 23da., and Daniel is 18y. 9m. 29da. ; what is the sum of their united

ages
?

Ans. 45y. 2mo. 5da. 12. Add together 18y. 345da. 13h. 37m. 15s., 87y. 109da. 12h. 16m. 28s., 316y. 144da. 20h. 53m. 18s., and 13y. 360da. 21h. 57m. 15s.

Ans. 43hy. 290da. 20h. 44m. 16s. 13. Venus is 38. 18o. 45'. 15. east of the sun, Mars is 7S. 15°. 36'. 18". east of Venus, and Jupiter is 5S. 21°. 38'. 27". east of Mars ; how far is Jupiter east of the sun ?

Ans. 4S. 26°. 14. A merchant owes a debt in London amounting to £7671, what remains due after he has paid £ 1728. 175. 9d. ?

Ans. £ 5942. 2s. 3d.

15. From 731b. of silver there was made 261b. lloz. 13dwt. 14gr. of plate ; what quantity remained ?

Ans. 46lb. Doz. 6dwt. 10gr. 16. From 711b. 83. 13. 13. 14gr. take 7lb. 93. 13. 13. 17gr.

Ans. 63|b. 103.73.23. 17gr. 17. From 23T. 13cwt. take 10T. 17cwt. 191b. 14oz.

Ans. 17T. 15cwt. 3qr. 8lb. 2oz. 18. From 76yd. take 18yd. 3qr. 2na.

Ans. 57yd. Oqr. 2na. 19. From 20m. take 3m. 4fur. 18r. 13ft. Sin.

Ans. 16m. 3fur. 21r. 2ft. 10in. 20. From 144A. 3R. take 18A. IR. 17p. 200ft. 100in.

Ans. 126A. 1R. 22p. 71ft. 80in. 21. From 18 cords take 3 cords 100ft. 1000in.

Ans. 14 cords. 27ft. 728in. 22. From 17T. take 5T. 18ft. 765in.

Ans. 11T. 21ft. 963in. 23. From 169gal. take 76gal. 3qt. 1pt.

Ans. 92gal. Oqt. lpt. 24. From 17Ch. 18bu. take 5Ch. 20bu. 1pk. 7qt.

Ans. 11Ch. 33bu. 2pk. Iqt. 25. From 33y. take 47y. 10mo. 27da. 18h. 50m. 14s.

Ans. 35y. Imo. 2da. 5h. 9m. 46s. 26. From 11S. 15°, 36'. 15". take 5S. 18o. 50'. 18".

Ans. 5S. 26°. 45'. 57". 27. A carpenter sent two of his apprentices to ascertain the length of a certain fence. The first stated it was 17r. 16ft. llin., the second said it was 18r. 5in. The carpenter finding a discrepancy in their statements, and fearing they might both be wrong, ascertained the true length himself, which was 17r. 5yd. Ift. llin. ; how much did each differ from the other ? Ans. 28. From a mass of silver, weighing 1061b., a goldsmith made 36 spoons, weighing 5lb. lloz. 12dwt. 15gr., a tankard, 31b. Ooz. 13dwt. 14gr., a vase, 7lb. lloz. 14dwt. 23gr. ; how much unwrought silver remains ?

Ans. 831b. lloz. 18dwt. 20gr. 29. From a piece of cloth, containing 17yd. 3qr., there were taken two garments, the first measuring 3yd. 3qr. 2na., the second 4yd. lqr. 3na. ; how much remained ?

Ans. Gyd. Iqr. 3na. 30. The longitude of a certain star is 35. 18°. 14. 35'.,

and the longitude of Jupiter is 11S. 25°. 30'. 50“. ; how far will Jupiter have to move in his orbit to be in the same longitude of the star ?

Ans. 3S. 22°. 43'. 454.

Section 12.

REDUCTION.

MENTAL OPERATIONS.

1. In 2 pence how many farthings ? In 4 pence? In 5

pence? In 7 pence? In 8 pence? In 10 pence? 2. How many pence in 8 farthings? In 12 farthings ?

In 16 farthings? In 24 farthings? In 36 farthings? 3. In 2 shillings how many pence? In 4 shillings? In 5

shillings? In 6 shillings? In 7 shillings? 4. In 4 yards how many quarters ? In 5 yards ? In 6 yards ? In 7 yards ? În 8 yards? In 9 yards ? 5. In 8 quarters how many yards ? In 12 quarters ? In

16 quarters? In 24 quarters? In 32 quarters ? 6. In 3 feet how many inches ? In 5 feet? In 7 feet ?

In 8 feet? In 9 feet? In 10 feet? In 12 feet ? 17. In 36 inches how many feet? In 48 inches ? In 60

inches ? In 72 inches ? in 96 inches ? In 144 inches ? 8. In 6 feet how many yards? In 9 feet? In 12 feet ?

In 21 feet? In 24 feet? In 30 feet ? In 36 feet ? 9. In 4 yards how many feet? In 3 yards? In 7 yards ?

In 9 yards? In 10 yards? In 11 yards? In 12 yards? 10. In 2 acres how many roods ? In 3 acres ? In 4

acres ? In 6 acres ? In 7 acres ? In 10 acres ? 11. In 12 roods how many acres ? In 8 roods ? In 16

roods ? In 20 roods ? In 32 roods ? In 36 roods ? 12. How many furlongs in 2 miles ? In 3 miles? In 6

miles ? In 7 miles ? In 8 miles ? In 10 miles ? 13. In 12 furlongs how many miles ? In 16 furlongs ? In

40 furlongs? In 44 furlongs? In 96 furlongs? 14. In 5 dimes how many cents ? In 6 dimes? In 8 dimes? In 9 dimes? In 10 dimes? In 12 dimes ?

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