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16 Express •378216 as a vulgar fraction in its lowest terms. 17 Express 78. 10d. as the decimal of a pound, and find the

value of .03234 of a guinea. 18 Extract the square root of 49660209; also that of 7.0032

to four places of decimals. 19 Find by any rule with which you are acquainted the sum

which paid one year hence will be an equivalent for 2001. due now and 6001. due at the end of two years, the rate

of interest being 51. per cent. 20 Reduce to their simplest form the expressions, (a) x + y

y y x + y x + y

y y

2 + 9
(6) (2 — 3 y) (x + y)
3y) (x + y) - (x — 2 y) (x + 3 y) + (x - y)

- -
a (x + 5y) - 2 + 2 y.

20? +
21 Find the greatest common measure of x2 + xyy
+ + x y3 y, and x3 – 6 x2 y 11 xy? - 6 ys.

Y 22 Write down the expansion of (x + y). How many terms

are there in the expansion of (o + y) 100 ? 23 Extract the square roots of 14 + 6 5 and 1 + 4 3. 24 Solve the equations

- 2 3 x 22 (a) +

+

4.
11
17

5

2 x2 y?

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x + 13 y

29.

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- y

4

X (c) 3

=146.

7 (d) 2 x + 3 x + 2 x2 + 3 x + 16 = 71. 25 A traveller sets out to walk from A to B at 4 miles an hour.

One hour later another traveller sets out from B towards A at 34 miles an hour ; when they meet the first has walked 6

" miles more than the second. Find the distance from A to B. 26 Sum the Arithmetical Progression 1+5+9+ to 15

terms; and the Geometric Progression 1 + } + + ... to n terms and ad infinitum.

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ADDITION.
£
d.

£

d. Brought

forward 1 3 4 6 6

1018 16 23 2 3 2 1 111

6 91 13 32 1 0 6 7 17

1 4 1 4 12 4 4 0 3 2 12 1

3 0 0 3 9 21 6 1 4 9 13 21

8 7 5 6 14 91 2 3 4 7

5 6 4 104 1 2 7 9 8 73

6 1 6 3
6 4 0 1 3
21

11 8 9 2 33
7 5 2 15
33

401 3 61 1 7 7 8 3 102

711 6 15 73 4 4 3 6 13

1 0 6 13 6 5 0 1 6

18
2

1 2 1 1 6 74 6 3 1 7 71

3 1 4 4 18 9 4 6 3 63

4 1 3 5

11 103 1 2 8 7 14 7

1 6 3

9 11 5 0 3 6 12 11

9 0 1 6 10 14 7 0 62

6 140 7 83 3 6 0 5 5

1 09 19 10 1 3 7 9 17 23

4 3 2 1 18 9 9 101

3 1 0 6 4 17 1 3 4 0 16 91

5 6 4 1 12 8 9 0 6 10 73

7 3 2 0 0 4 4 4 4 11 2

8 1 4 6 11 91 2 1 1 6 8

11 40 15 63 7 7 4 3 13 31

6 6 7 8 13 64 9 6 7 1 11 9

7 7 09 14 1 4 3 7 6 15 10

5 6 1 8 15 2 3 7 1 11

7 7 31 11 111 1 4 7 3 6 82

6 5 4 9 3 33 1 3 5 8 7

7 5 3 0 4 6 4 0 8 13 10

5 8 11 5 52 1481 15

7 5 6 2 24 0 1 6 13 22

13 3 93 4 0 1 6 8 15 33 Carried forward

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ADDITION, £ s. d.

£ S. d.

Brought
1 3 4 6 6 forward S
2 3 2
1 111

10 18 16 23 10 6 7 17 9

6 91 13 33 4 0 3 2 12

1 4 14 12 4 6 1 4 9 13 21

3 0 0 3 9 24 2 3 4 7 15 62

8 7 5 6 14 93 1 2 7 9 8

5 6 4 103 6 4 01 3

6 1 6 3 7 5 2 15 37

1 1 8 9 2 2 4 6 3 1

401 3 63 6 4 7 1 2

711 6 15 5 ( 16 18

1 0 6 13 6.31 7 71

1 2 1 1 6 74 4 6 3 6

3•1 4 4 18 91 1 2 8 7 73

4 1 3 5 11 102 5 0 3 6 12 11

1 6 3 9 11.1 1 4 7 0

9 0 1 6 10 31 3 6 0 5

6 1 40 7 83 1 3 7 9 17 23

109 19 10 9 9

4 3 2 1 18 92 1 3 4 0 16 94

4 0 0 7 1 8 7 9 0 6 10 71

3 4 1 2 7 41 4 4 4 4 11

7 3 2 0 0 2 1 1 6

81 4 6 11 91 7 7 4 3 13 31

1140 15 63 9 6 7 1 11 91

6 6 7 8

61 1 4 3 7 6 15 101

7 7 0 9 14 7 2 3 7 1 11

5 6 1 8 15 57 1 4 7 3 6 81

7 7 3 1 11 114 1 3 5 8 7 93

6 5 4 9 3 32 6 4 0 8 13 104

7 5 3 0 4 1 0 6 2 2

5 8 1 1 5 2 7 5 9 11 8

7 5 6 2 2} 4 0 1 6 8 15 32

13 3

14

676794

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Total

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WEIGHTS AND MEASURES.

1 Write out the tables of

Avoirdupois weight.
Troy weight.
Long measure.
Cloth measure.
Wine measure.

Dry measure. 2 In

miles, furlongs, poles, yards, how many

feet? 3 In lbs. avoirdupois weight, how many tons, cwts.,

and qrs.? 4 In lbs., OZ.,

dwts.,

grs., troy weight, how many grains ? 5 In a table, the sides of which are ft.

ft. in, how many square yards, feet, and inches ?

in., and

PART IV.

Departmental Examination Papers, pre

vious to the Order in Council.

WAR OFFICE.

ENGLISH GRAMMAR AND COMPOSITION.

1 Accent each of the following words in two ways, and con

struct sentences which shall contain these words :-re

fuse, desert, protest, compound. 2 Correct, if necessary, the spelling of the following words, and

give the reasons for your corrections :—moveable, truely,

skillful, blisful, lodgement. 3 Correct, if necessary, the following, and give the reasons for your corrections :

Divide this among the two.
The man has come, him who you saw.
These books are their's, those are your's.
The captain with his men, were taken.
We laid our money upon camels, concealed in

bales of cheap goods, and travelled to the shores

of the Red Sea. 4 Distinguish between the following words and modes of ex

pression :-acquittal and acquittance, attendance and

attention, beside and besides, in course and of course. 5 Put the following sentence into plainer and more modern

language :-“ Alcidamas, the sorcerer, hath many notable arguments to prove that voluntary and extemporal far

excelleth premeditated speech." 6 What historical events have influenced the composition of the

English language ? Name the chief writers of the reigns of Anne and George I.

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