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(The Answers to the Arithmetic and Algebra appear in the June number of the Practical Teacher and the Governess.)

Complete Answer Cards may also be had price d. each.

Freehand Brawing Copies.

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THIS river is about 140 miles long if we reckon the source of the Swale as that of the main stream; and with its tributaries drains almost the whole of Yorkshire.

In our last issue, when tracing the course of the Trent from the sea to its source, we said that the Humber was formed by the junction of that river with the Ouse, and that in going up it from Spurn Head, we passed the towns of Great Grimsby, Hull, and Barton.

We shall not go over this part of our journey again, but shall commence our description of the Yorkshire Ouse at the point at which the Trent joins it.

At first we proceed due west until we come to Goole, a town possessing a considerable trade in shipping, situated on a flat

stretch of country by the west bank of the river. Here the Don, on which are situated Doncaster, Rotherham, and Sheffield, joins

us.

We then go due north for a short distance, take a sharp bend to the west, and reach the mouth of the Aire, in the basin of which river lies the great cloth-making district of Yorkshire, with its great centres, Leeds, Bradford, Halifax, Dewsbury, Huddersfield, and Wakefield.

The Derwent, a stream rising in the moorlands of the North Riding, is the next river to join us on the right, and then we come to Selby, which is a very ancient town on the western side of the river, celebrated for its old church, and for being the birthplace of Henry I.

Leaving Selby, we proceed northward, until we reach the small village of Cawood at the mouth of the Wharfe, and then a dozen more miles bring us to York.

This city is situated at the junction of the small river, the Foss, with the main stream, and was a thriving place even in the old Roman days. It was then called Eboracum, and was surrounded by strong walls, which still exist in a good state of preservation. The cathedral is one of the finest in the kingdom.

From York we proceed still in a northwesterly direction, and, after passing the mouth of the Nidd, reach the village of Aldborough, at the junction of the Swale and Ure the two streams, which by their union form the Ouse.

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First proceeding up the Swale, the more northern of the two, we find it passes Richmond with its fine old castle, and Reeth, and rises in the wild moorlands on the confines of Westmoreland and Yorkshire.

The chief points of interest on the Ure are Boroughbridge (near which Edward II. defeated the rebel Earl of Lancaster in 1322), the old cathedral city Ripon, and the country towns of Masham, Leyburn, Askrigg (with lead mines), and Hawes.

The two last named are situated in Wensley-dale, a district celebrated for its cheeses.

Ure Head, as the source of the river is called, lies on the confines of the two counties, York and Westmoreland, among the spurs of the Great Shunner Fells.

SUMMARY.

J On the confines of Yorkshire and Westmoreland. South-east.

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About 140 miles (from the source of the Swale). Yorkshire.

Ure, Nidd, Wharfe, Aire, and Don.

902486 by 37. 9417007 by 705.

B. 1. (57609 x 500) ÷ 125. 2. (8176413-93,528) ÷ 800. 3. (7618275+25)÷376.

Arithmetic.

C. 1. Divide nine million sixteen thousand and forty by 38147.

2. Take £76 5s. 74d. from £800. 3. Find the sum of £346 175. 8td., six thousand and twelve pounds fourteen and ninepence halfpenny, £7106 18s. 44d., seventeen shillings and tenpence, five thousand pounds eight shillings and three farthings, and £8176 14s. 91d.

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BY W. SPENCER. STANDARD III.

D. 1. Bring 617825 farthings to £.
2. How many farthings in £609
17s. 8d.?

3. How many boys could each re-
ceive 2 d. out of £17 125.
6d. ?

E. 1. If marbles are 1d. a score,
how many thousand could
be bought for £5 6s. 3d. ?
2. Fifty-seven thousand and nine-
teen farthings is how much
more or less than 973 half-
crowns?

3. (67809 × 5080)÷84016.
F. 1. Divide seventy million fourteen
thousand and six by the sum
of all the teens multiplied by
305.

2. Take 3018 17s. 8d. from
five million eighteen thou
sand and forty-six three-half-
pences.

3. £638+719 cr. +938 Al +7051.

Foss and Derwent.

Reeth and Richmond (on Swale); Hawes, Askrigg, Leyburn, Masham, Ripon, and Boroughbridge (on Ure); Aldborough, York, Cawood, Selby, and Goole.

ADVANCED EXAMINATION.

1. Divide £8 15s. among 120 boys and 80 girls so that each girl may receive 2 d. more than a boy. How much will each boy and girl receive?

2. In a school consisting of 280 scholars, half of them pay 4d. each a week, a fourth of the remainder pay 5d. a week, 60 pay 64d.; a third of those still left pay 8d., 20 pay 9d., and the rest pay 10d. a week; what will the fees amount to in a year of 46 weeks?

3. A draper sold goods in January to the amount of £238 14. 74d., in February £79 16s. old. less than in January, in March £48 175. 10 d. less than February, and in April just half the amount taken in the three previous months. How much did he take in the 4 months?

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STANDARD IV. E. 1. How many square feet are there in 20 square miles?

2. How many girls' dresses, each requiring 7 yds. 2 qrs. I nl., can be made out of 42 pieces of material, each piece containing 38 yards?

3. Multiply £6 17s. 3 d. by 827.

F. I. How many minutes are there from April 17th at 4.21 p.m. to October 12th at II.16 a.m.?

2. If a bullock be worth 6 sheep,

and if 7 sheep be worth £26 15s. 6d., what are 38 bullocks worth?

3. From five and three-quarter miles take three thousand and nineteen yards, and give the remainder in inches. STANDARD V.

E. 1. A bill:-3 yards, at 7s. 5d., 17 yds. at IIS. 10 d., 68 yds. at 4d., 2 yds. at 12s. 6d., 150 yds. at 10 d., a dozen yds., and yd. at a guinea a yard.

2. What would 18 tons 15 cwt. 3

3.

qrs. 21 lbs. of flour cost, at 2s. 24d. per stone of 14 lbs.? What would 83,775 articles cost, at Is. 7d. a score? F. 1. If 160 marbles cost 64d., how many could be bought for 9s. 54d.?

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2. What would 8 lbs. 10 oz. 16 dwt. 18 grs. of silver cost, at 4s. 6d. an ounce?

3. Make out the following bill in

proper form, and then receipt it :-8 hams each 28 lbs. at 5d. a lb., 10 flitches each 42 lbs. at 44d. a lb., 25 kegs of lard each 18 lbs. at 44d. a lb., and 14 cheeses each 22 lbs. at 5d. a lb. STANDARD VI.

1. What would 80 yards of cloth 42 inches wide cost, if 50 yards 60 inches wide cost £18 10s. ?

2. If 40 planks 15 feet long 10

inches wide and 3 thick cost £715s., find the price of 65 planks each 10 feet long 12 inches wide and 2 inches thick.

3. (7 ÷ 128) ÷ (f − 4).

ADVANCED EXAMINATION.

I. Supposing a man to eat 1 lb. of bread a day, a woman 1 lb., a boy I lb., and a girl lb. and that 5 lb. of flour will make 6 lb. of bread;-find the quantity of flour in tons, cwts., etc., that will be required in a year for 500 men, 400 women, 680 boys, and 620 girls.

2. If 127 cwt. of hay be eaten by 112 horses and 118 cows in 5 days, and if a horse eats 10 lb. a day, -how much did each cow eat per day?

3. A waggon, when filled with 56 bags of coal, weighs 2 tons, the waggon itself weighing 11 cwt. How many lbs. of coal does each bag contain, supposing an empty bag to weigh 2 lbs. ?

ADVANCED EXAMINATION.

1. A horse dealer bought 500 horses for 11000 guineas, in addition to which they cost 1 guineas each in expenses. He sold 300 of them at 30 guineas each, 150 at 22 guineas each, and the remainder at £18 10s. each ;-how much did he gain or lose on the lot?

2. Find the value of 862 tons, 16 cwt: 44 lbs. of hay, at £4 17s. 8d. a ton.

3. Make out the following bill for repairing a house :-7 masons each 8 days of 9 hours at 7d. an hour, 10 bricklayers each 7 days of 9 hours at 64d. an hour, and 6 joiners each II days of 10 hours at 5d. an hour.

D. I. What would 7'145 cwt: of sugar cost at 0095 a lb. ?

2. If A can mow an acre of grass in 7 hours, and B in 8, in what time could they together mow I acres?

3. If £17.425 be divided equally

among 40 men, what deci. mal of 17s. 6d. would each receive?

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STANDARD VI.—Continued.

2. If 4 cwt. of sugar cost £5},
what fraction of a lb. would

cost råd.?

3. What would 175 cwt. of tea
cost, if 2 oz. cost 6d. ?

ADVANCED EXAMINATION.
1. A can make a coat in 21 hours;
-he works at it alone for 9
hours, and then B helps
him to finish it. Supposing
the coat to be finished in 15
hours from A commencing,
in what time could B have
done it alone?

STANDARD VII.
D. 1. What would £375 amount to
in 3 yrs. 50 days, at 4 per
cent., simp. int. ?

E

2.

3.

Find the compound interest of
£880 for 4 yrs., at 5 p. c.

Find the length of the side in
yards of a square field that
contains 6 acres.

1. Give the exact date of 317,029
minutes reckoned backwards
from Dec. 25th, at 7.35 a.m.
2. Find the discount on £850,

paid six months before due,
at 5 per cent.
3. At a collection made in a con-
gregation of 680 persons, 3
persons gave £1 each, 7
gave 10s., 20 gave 2s. 6d.,
120 gave Is., 200 gave 6d.,
240 gave id. each, and the
remainder gave nothing:-
what was the average given
by the whole congregation?
F. 1. What annual income would be
got by investing £18,500 in
the 3 per cents. at 92?

2. What would £750 amount to
in 3 years at 4 per cent.,
compound interest?

3. Find the present worth of £85
paid 120 days before due, at
4 per cent.

2. Find the cost of supplying a school containing 210 writers with ink for a year of 44 weeks of 5 days each, each scholar requiring on an average 0015 pint of ink per day, at 2:95s. a gallon.

3. If 7 men or 10 women eat 60 lbs. of bread in 5 days, how long would 400 lbs. of bread serve 16 men and 12 women?

ADVANCED EXAMINATION.

1. A draper bought 480 yards of cloth for £300. He sold one-half of it at a profit of 20 per cent. on its prime cost, 100 yards at a profit of 10 per cent., and 60 yards exactly at their cost price :-at what price must he sell the remainder per yard to make a profit of 15 per cent. on his entire outlay?

2. I owe an account £67 10S., payable in 8 months, for which I pay prompt cash £65 :—what rate per cent. per annum discount am I allowed?

3. A person buys a house for £400, and borrows the money at 5 per cent. He applies £80 a year in paying the interest and reducing the amount borrowed at the end of each year-how much will he owe at the end of the fourth year?

The Pith of a Course of Domestic Economy Lessons.

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