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二頁二第張四第 日四初月八年戌庚廳复 WAH KIU YAT PG

日悟

五期星日四月九年〇七九一座公年九十五國民華中 育教誊粉

小學畢業同學

·ANSHER:

暑期進修專欄

x 200 yd 400 yd.

The required breadth of the rectangular fieid is 80 yd

Science. If the average for as the subjects is 74 marks, how many marks: does he get for Arithmetic7

智慧出版社主事

The required perimeter of the rectangular field is 400 pd

Example.3

英數科

(七)

LESSON SEVEN

BCHAPTER SEVEN

SOLUTION:

Area off the floor

Area of the carpet =

(A) AVERAGE

Example. J

AVERAGE, AREAS & VOLUMES

The number of pupils of a certain school from Monday I to Friday was 538, 537,539,536 and 530 respectively FFind the average number of pupils a dayin, this week. SOLUTION The required average' number of pupils

538 537 + 539 + 536 + 530

ANSWER..

Example 2

ired average, number of pupils.is.

1 man drives at 25 m.p.h, for two hourstanu 34 m.p.17:

for another hour. What is the average whole journey:

SOLUTION The required average"speed 了

carpet 18 ft. long, 15 ft. wide is laid in a room 19 square. Find the area of the floor left uncovere

ANSWER

Example

(19 x19) sq. ft. 361 sq. ft... (18 x 15) sq. ft. 270 sq. ft. Therefore, area of the part Left uncovered.

(361 - 270) sq. ft. - 91 sq. ft

The required area left uncovered

G

g1 sq:

The following diagram represents the four walls of a

rectangular room; folded out flat, dimensions are in Tt. Find the total area of the four walls, if thes. height is 12 ft.

LONG WALL

SHORT

WALL

or ther

(25 x 2 + 34 x 1) miles + 3 hoursh 8% milea + 3 hours 28

ANSWER1.

ANSHER,

The required average speed for journey is 28 m.p.h.

hole

(C) VOLUMES

Volume of a Cuboid

Example

Volume of a Cube K Example

SMoer

The average of 5 numbers is 25. lt the average:of the first two is 20 and the average of the last two is 31, what is the middle number?

) A girl works for 5 hours a day for 3 days, 4 hours a day for 2. days and hours a day for 4 days. How many hours per day does she work on the average? 5) A man works for 9 hours a day from..

Monday to Friday. He works for 4 hour oi Saturday and rests on Sunday, How. many hours a day does he work on the average

in a week?

63 If 2 is added to each of five numbers)

by how much will their average increase?(6

7). The average of 3 numbers is 42.The.

average of another 4 numbers is 21. What is the average of the 7. numberst

B) 103b, of tea A'at $3.50 per lb, are

mixed with 20 lb. of tea B at $2.25 per lbe If\the merchant wants to make k profit of 20%, what will be tire selling price. of mixture per lb.

(8)

3 gallons of wine at $50.00 a gallon is mixed with 5 galions of wine at $40.00 a gallon and 2 galloris of water are added. What is the cost price per gallon the wine thus produce7

SOLUTION:

The required cost per gallon..

= ($50x34$40x

地 $350 10. $35

52)

ANSWERY: The required cost per gallon of the wine.

£$35.

(B) AREAS

USEFUL FORMULAE

(3) AREA OF RECTANGLE

(C) AREA OF TRIANGLE

SIDE SIDE

A=$

BREADTH:

HEIGHT AB

The PERIMETER of = figure bounded by straight Linen

is the sum of the Lengths of the sid RECTANGLE: Pari

TRIANGLEL

Example

2 x (L→

.2 x

2x B

D

Sum of the

strip of carpet is bitt.

area and perimeter...

SOLUTION The required area = 6 x 7 x

126 sq.

The requlfed perimeter of the carpet

2(6 + 7 x 3)ft. = 2 × 27. ft. = 54

ANSWER

The required area of the carpet is 14 sq, yd. The required perimeter of the carpet is 18 yd.

Example 20

The area of a rectangular field la 9,600 sq. gd.j

120 yd. long. Find its breadth and its perimeter. SOLUTION: The required breadth

The required perimeter

(9600 + 120)ya 80 yd.

(((120 + 80)yd

SOLUTION The total area of the four walls.

= 12 x (30 + 15 + 3015) sq. ft. =12x90 sq.ft" = 1,080 sq. ft.

The required total area of the four

CBO sq. ft.

Length x Breadth x Heigh or VLxBxH

Sidex

The volume of a rectangular tank is 840 cu.ini

in, wide and 5 in, high; find the length;

SOLITION:

ANSWER:

Example :2.

Since Length = Volume → Width – Height Therefore, the required lengt

(840 ± 24 ÷ 5)Pin.

required length is 7 in

#

7 in.

Find the volume of a cube whose edge is 11 in.

SOLUTIONA The required volume = 11 x 11 x 11 cu.

1331 cu. in.

ANSWERE Example 3.

The required volume is 1331 cu. in,

Two cubic feet of a liquid weighing 65 lb. per cu. ft

are mixed with 3 cun ft. of another Liquid. weighing)

90

0 lb. per cu. ft. If there is no change of volume, how much does l cu, ft. of the mixture weigh? SOLUTION

AN SHER *

The required weight of 1 cu. ft. of the mixture:

(65 x 2 + 90 x 3) Ib. (2 + 3) (130) + 270) lb, 5 - 80 lb.

equired weight of the mixture is 80 lb. cu. ft.

EXERCISE

10 lb. of coffee at $3.60 per lb, ar mixed with 5 lb. of coffee at $4.20 per lb. What is the cost per lb. of the nixture?

At an examination a boy gets an average

of 70 marks for Chinese, English and

Arithmetic, and the average of 81 marks

for Arithmetic. Social Studies and

91 The average height of 6 pupils is 5. tr.

If the average of the first three is 4ft. 10 in and average of the next two is. 5 ft. Lin, what is the height of the last one7

10)A woman works 6 hours a day from Monday

to Friday, She works 4 hours on Saturday

·How many hours a day does she work on the average from Monday to Saturday?

EXERCISE I

(1) Find the arël of a hall 90 yd, Jong

and 42 yd. wide.

Find the breadths and perimeter the following rectangles:

(a) Area: 96 sq. in, length 16 in. (b) Area 10 sq, yd., length 9 ft. carpet 26 ft. by 12 ft. is laid in a.room:30 ft. by 18 ft. Find the part.

the floor left uncovered..

Find the total, area of the four walls: *of a room, 25 ft. Iong 20 ft. Wide

and 9 ft high

The perimeter of a rectangle 1s 35. and one of its sidee 点 *O'in. Find it's area

If the area and the Length of a rectang are 1,200 sq. ft. and 30 vd. respectively.. Find its breadthis

(6)t

2) The perimeter of a square is 16 in, Find

its.are

(7) sq

(8) I) the area of a rectangleis: 102 fong.

chuen and one:ofits; sides is 17 chuen find:the perimeter of the redtanele.

What is the area of a square side ischek & chuen

chuen

one

19ng.chex

chuen

(10)The area of a square is Y square vardsy

What isits perimeter.

11JThe

area of a triangle is square foot 8 square inches. Its base is | foot b anches. Frnd its height

12)Find the area of the shaded part in each

of the following

sums:

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