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會考試題預習專欄

物理科(三十) ·鄧炳恩·

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英中會考數學課程A(二)試題

Answer SEVEN questions, choosing at least ONE from each section. Start each question on a new page. Unless otherwise stated, all answers from calculations should be correct to thire significant figures. Care must be taken that slide rule answers conform to the required degree of accuracy. All necessary working. must be clearly shown, Marke will be deduced for our presentation of material. Take a#-

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英中會考地理(二)答案

(續)

堅道英文書院撰答,

Suggested Answer

時傳遞之電能

撞失之電鹃

TORONTO

LONTARIO

SECTION AJ

(4) (5 marks)

The present population of a certain city is 767,000. I, over the past 10 years, the population ha been increasing at the rate of 85% every 5 yes, what was the actual increase of the population in that 20 years?

(b). (8 marks)!

Three partners XYZ go into business. Originally X contributes $2,500, Y $3,000 and 251,500. After 7 months Y withdraws $1,000 while at the end of 8 months Z invests a further $2,000. The total profits at the end of the year are $5,568. How should the profits be divided?

(d) (7 marks)

The daily wages of skilled worker A and an apprentice B were 515 and $9 respectively. Working separately. A got 3300 when he had completed a piece of work and B got $270 when he had finished an equivalent piece of work. If they did, the work together assuming they were working at the own rate, how much would each receive when the work, was completed?

(b) (7 marks)

A selis an article to B at a gain of 10%, sells it to Cat a gain of 20%, HC paid $320 more than cost A, find

how much A,B, and C respectively paid for the article,

the respective profits for A and B.

Certifiosts of Education Examination (English)

Section B

GEOGRAPHY TI

9. Draw a sketch map of neyvern rakisvan to snow waG

major irrigation schemes. Describe briefly how large-scale irrigation is practised there. Discusa the importance of irrigation in the development of this region.

Ana

IRRIGATION IN W.PAKISTAN

NOSCON

York

The Position of. NEW YORK

FROM THE SOUTH

ATLANTIC OCEAN

HIGH LAND

POSITION OF BUENOS AIRES

** (6 markt).

A rectangular block of lead, 4 cm by 6 cm by 8 cm, was melted down and cast into solid spheres of

12 cm diameter. How many complete solid anbares could be made?

{{b}- ` (8 marku).

Dirty waterspumped out from a pool through a pipe of 10 inches diameter, at the rate of 1,100 gallona- per minute. Taking 1 cu ft as 6-1- gallons calculate

the rate, in seri per second, at which the water flows through the pipe,

()the weight of mud bitons that will be pumped out in

water contains 24 oz of mud in every cubic foot of water.

found that the dirty

SECTION 8

(a) (5 marks)

From an observation post P, the angle of elevation of an zeroplane dur esst of P is 25° 27. Two minutes later, its angle of elevation due west of P. is 36° 35: If the speed; direction and altitude (5 - milles shove P) of the aeroplane are sil constant, find the weed of the aeroplane in miles per hour.

(8 marki,

A piece of wire 487 cm long is bent to form a tišinsde À BC

Calculate the lengths of AB and BC.

14 marks)

From an obration jewinę 1. Zšu mation suuro sen fever, the penings of ship A and ship are 61° and 90′ respectively. The bearingsate matured from the northing clockwise sense. Simultaneœuly It is also observed from L. that the angles of depression of A and B are 45°, and 65a fescectively If D is the point at ses laval vertically banesth L, calculate the distances

from A to D,

() from B 10 D

(1) from A to B.

(6 marki)

Solve the equation

•The circumftance of a circle, centre O, is 15 inches. An are MN of this chicle is 6 inches

Find

"the angli in radians, subtended by this great the centr

(6) the area of the unaller sector MON,

SECTION

(a) (6 marka).

The expression, px

€5+ gx + 6 is divisible by x +2 and has a remainder of 30 when

divided by x-3: Find the values of a and a

(b) (8 marks)

When a particle falls from rest in a vacuum, Its distance from the starting point yailer as the square of

the time it has been falling. If a particle falls through 44 2 metres in 3 seconds, lind

() how far it falls in 9 seconds,

() how long it takes to fall through you metres.

(a) = (5 marks)

If the equations 5x + y +6 =0, 3x - y » 4 × 0 and px - By + 1 = 0 are all satisfied dmultaneously by one pair of values of x'and y; find the value of p

(5) (3 marks)

Fipe A and Pipe B together can fill a tank with water in 4 hours 48 minutes. If pipe A takes 4 hours longer than pipe B fo fill the tank, find the time each alone will take to fill it.

(a)=(7 maska)

There are 65 rows of seats.in a concert hall; In each of the urst and second rows, there are a seats. Four additional seats are put in after every two rows (Le: 54 saisin each of the third and fourth fows, 58 seats in cach of the fifth and sixth rows and so on) until the fit leth row: After that each of the remaining rowt contains the sanie number of mats as the fiftieth row. Find the total number of seals in the ball.

(b) (7 markaj

The perimeter of a triangle is p feet. A second triang is formed by joining the midpoints of the three sides. A third, fourth and fifth triangles are formed in the saine manneś (ie. by joining the mid-points of the three sides of the preceding triangle). If the padneter of the fifth triangle is 1 inch, find

the matto di tre perimeters of the first and secong triangles,

(1) the value of p,

(1), the sum of the perimeters of the five triangles in fest and inchei

IRRIGATED LAND

BARRAGE

In Western Pakistan the chief method of irrigation is by constructing perennial canals which take water from reservoirs that are formed by building barrages on the rivers. By this method, land between the rivers or the doabs can. be irrigated without depending on the natural flow of the river. Closely linked with many os.. the irrigation schemes are hydro-electric power. projects. Examples of such multi-purpose undertaking are: Wardak project in the North-west Frontier Province, the Kangla Dam on the River Jhelum.

Water is of utmost importance to the Weatera Pakistan as agriculture in the major occupation in this region, Formerly, agriculture depends mainly upon natural rainfall and the effect of the failure of the monsoon rains would spell disaster to the farmer in bhia region. In the early fifties, Pakistan has to import a large amount or wheat simply because the rainfall is below that of the average. Not only does the irrigation; scheme supplement the normal amount of rainfall- but also vast tracts of formerly barren land are brought under cultivation. It is estimated that the Thal project in north-western Punjab alone would led to the development of 2 million acraN semi-desert Land. Most of the modern schemes are dual or multi-purpose schemes and an a result, the installed electric power capacity of Pakistan has dacreased many folds. However, irrigation does bring about probleme of waterlogging and salt accumulation which are affecting many thousands of acres of land in Punjab

Section C World Human & Economic Geography

Draw large sketch mape to show the importance of any TWO of the following toime : New York. Faris, Duenos Aires

(14 marks)

if the figure shows the graph

(i) the least value sify,

()the range of values of x such that y's'u,

(y the valties of pund g

Using the eqriation of the graph and-by drawing on the same figure suitable straight lines,"

(The graph should not be handed in but no credit will be given for answers to (iv) and (v) unless the equatiutis of the straight lines druwn are givent,

Ane

Cate Wheat

PAMPAS

BUENOS

AIRES

TO AUSTRALIAN

U.S.A., EUROPE

MONTEVIDEO

(b) Using some of the information given in

Figures 5 and 6, give reaona for the growth] of the port of Mombasa.

Mombasa enjoys a very good position from military point of view as it is surrounded by water on the eastern and western side, It is virtually impregnable from attack on land since the approaches are very narrow. The site of an on for apporti thon argument very well. Later on with the completion of the Kenya-Uganda Railway in 1910, the hinterland was vastly extended to include the whole of Kenya as well 88 Uganda, Suffice to say that, whila formerly the hinterland of Mombasa includes only the narrow coastal strip which producea coconuts and sisal, the extension of the hinterland brings new products such as pyrethrum, coffee, and cotton to the port of Mombasa from Uganda and North-western Кедуа..

If the site of Mombasa is examined carefully, we could easily find that it possesses the advantage of having Kilindini Harbour which is the finest harbour in the whole of East Africa. Coupled with a good natural harbour, the entrance to the port is free of coral reefs and mangrove. swamps which may seriously affect navigation. In addition to a railway, Mombasa is in constant contact with other parts of the world by means of air transport. (An aerodrome can be found in the western part of the oity.) As a matter of fact, Mombasa lies along the major ocean route along the. Western Indian Ocean and it is not without ground to auggest that Mombasa may also serve as a port- of call.

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