Form 3 - Chapter 9

Chapter 9: Scales Drawings Paper 1

This test paper contains 20 questions. Answer ALL the questions. The diagrams accompanying the questions are not drawn to scale unless mentioned. You You are allowed to use a scientific calculator that cannot be programmed.

1

In Diagram ! PQR ! PQR is is a scale drawing of ABC of ABC . R C

P

" cm

Q

A

2 cm

B

DIAGRAM 1

#hat is the scale used$ %& A B %2 

C

%

2



D

&

% 

2

In Diagram 2! ABCD 2! ABCD is a scale drawing of WXYZ ! using the scale  % & . D

C Z

A

B

W

& cm Y

X

DIAGRAM 2

#hat is the length! in cm! of DC of DC $ © Pearson Malaysia Sdn Bhd 2007 1 Form 3

Super Score Mathematics

A B C D

3

' " 2 

Diagram & is a triangle.

* cm

" cm DIAGRAM 3



A drawing was made of the triangle using the scale  % " . (alculate the area! in cm2! of the drawing. )0 A B '0 &20 C "00 D  4

In Diagram "! figure B is a drawing of figure A using the scale  % " .

x

A

0 cm

B

DIAGRAM 4

#hat is the length! in cm! of x$  A 2.* B C * ' D

© Pearson Malaysia Sdn Bhd 2007 2 Form 3


5

The scale of a map is %00 000. #hat is the length! in +m! of a ri,er which is '.* cm long on the map$ A '.* '* B C '*0 D ' *00

6

A road map shows the distance between A and B as * cm. If the actual distance between A and B is 2 +m! what is the scale used in the map$ A  % 2 000  % " 000 B C  % ) 000 D  % "0 000

7

The length of a road is 2 +m. #hat is the length! in cm! of the road on a map that uses the scale  % *0 000$ 20 A 2" B C 2) D &2

8

A beam 20 m long is represented by a line of " cm on a blue print. #hat is the scale used$ A % * % *0 B % *00 C D % * 000

9

The height of a tree is ' m. If this is represented with a scale drawing of 2 cm! what is the scale used$ A % 200 % &00 B % "00 C D % '00 

10

The scale of a map is  % 00 000. #hat is the length! in cm! of a street of length " +m on the map$ A 0.2* cm 0. cm B C 0.2 cm D 0.* cm 

11

In Diagram *! scale of  % * was used to draw -bect I. -bect II is the scale drawing.

© Pearson Malaysia Sdn Bhd 2007

/ cm

y

3 Form 3


I

II DIAGRAM 5

#hat is the length! in cm! of y$ * A

/ /

B

*

C

&* /0

D 12

In Diagram '! triangle II is a drawing of triangle I.

"" cm &' cm

I

II DIAGRAM 6

Triangle I has an area of &' cm! and triangle II has an area of "" cm. #hat is the scale that was used$  A

% 2 

B

% " 

C

% ' 

D

13

% )

Diagram / shows a drawing made of an obect using a scale % 20. 2 cm


" cm


DIAGRAM 

1ind the area of the obect. A 2 cm B .2 cm .2 m C D 0.2 m

Questions 14 and 15 are based on Diagram 8 2

In Diagram )! 1igure B is a drawing of figure A using a scale % * .

0 cm

A

B DIAGRAM !

14

#hat is the radius! in cm! of figure A$ A 2 " B C ) D 2

15

#hat is the ratio of the area of figure A to the area of figure B$ % 20 A



B C D

16

2% 20 2% 2* "% 2*

The area of a square3shaped field is 2 02* m. The field was drawn using a scale % "00. (alculate the length! in cm! of the side of the drawing.  A

'" 

B

)" 

C

0 " 

D

17

 "

In Diagram ! figure II is a drawing of figure I. .2 cm A

B

A!

I

B! II DIAGRAM 9

If

the scale % " was used! what is the length! in cm! of A!B! $ 2.&

A B C D

18

2.' 2. &.2

The distance between two towns! X and Y ! is "0 cm on a map. If the scale % *0 000 was used! what is the actual distance! in +m$ 0.2 A 2 B C 20 200 D



19

The length of a drain on a map is " cm. If the actual length is 00 m! find the scale used in the map. A  % 2*  % 2*0 B C  % 2 *00 D  % 2* 000

20

A plan for a house uses a scale % 00. If the length of the house is 0 m! what is the length! in cm! on the plan$ A 0. B  0 C 00 D

1

4

Paper 2 This test paper contains 0 questions. Answer ALL the questions. The diagrams accompanying the questions are not drawn to scale unless mentioned. You are not allowed to use a calculator.

1

In Diagram ! figure II is a scale drawing of figure I .

2 3

II I

 cm

* cm DIAGRAM 1

1ind the scale used. 2

The length of 4alan Intan on a map is &.2 cm. #hat is the actual length of the road if the scale used in the map is % )0 000$



3

The distance between two towns X and Y is ".) +m. If this is represented on the map with a line .2 cm in length! find the scale used in the map$

4

A map uses a scale % 00 000. 1ind the area of a square plot of land represented by a square on the map measuring  cm by  cm.

 5

In Diagram 2! figure II is a drawing of figure I using the scale % * .

Area 5 0 cm

I

II DIAGRAM 2

#hat is the area of figure II$

 6

-n a map!  cm represents 2 +m. #hat is the scale used$

7

#rite * cm% 20 +m in the form of % n.

8

The height of a chair is 20 cm. If it was drawn using a scale of % 20 ! find the length of the drawing.

9

Diagram & is a rectangular obect measuring *00 cm by 20 cm. *00 cm

20 cm

DIAGRAM 3 © Pearson Malaysia Sdn Bhd 2007  Form 3


If a drawing of the obect is made using a scale % 20! what is the area of the drawing$

10

A plot of land in the shape of a square has an area of "00 m. If the plot of land is drawn using a scale % 2*0! what is the length of the sides of the square in the drawing$

© Pearson Malaysia Sdn Bhd 2007 ! Form 3


Form 3 - Chapter 9

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