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 are allowed to use a scientific calculator that cannot be programmed.

1 In Diagram 1, PQR is a scale drawing of ABC.

P 4 cm Q A 2 cm B

DIAGRAM 1

What is the scale used?A 1 : 3B 1 : 2

C 1 : 2

1

D 3

1

: 1

2 In Diagram 2, ABCD is a scale drawing of WXYZ, using the scale 1 : 3

1

.

A B W X

DIAGRAM 2

What is the length, in cm, of DC?

© Pearson Malaysia Sdn Bhd 20071 Super Score Mathematics

Form 3

C

R

CD

3 cm YZ

A 6 B 4 C 2 D 1

3 Diagram 3 is a triangle.

DIAGRAM 3

A drawing was made of the triangle using the scale 1 : 4

1

. Calculate the area, in cm2, of the drawing.A 80 B 160 C 320 D 400

4 In Diagram 4, figure B is a drawing of figure A using the scale 1 : 4

1

.

x A 10 cm

DIAGRAM 4

What is the length, in cm, of x?A 1B 2.5 C 5 D 6


Form 3

B

4 cm

5 cm

5 The scale of a map is 1:100 000. What is the length, in km, of a river which is 6.5 cm long on the map?A 6.5 B 65 C 650 D 6 500

6 A road map shows the distance between A and B as 5 cm. If the actual distance between A and B is 2 km, what is the scale used in the map?A 1 : 2 000B 1 : 4 000C 1 : 8 000D 1 : 40 000

7 The length of a road is 12 km. What is the length, in cm, of the road on a map that uses the scale 1 : 50 000?A 20 B 24 C 28 D 32

8 A beam 20 m long is represented by a line of 4 cm on a blue print. What is the scale used?A 1: 5B 1: 50C 1: 500D 1: 5 000

9 The height of a tree is 6 m. If this is represented with a scale drawing of 2 cm, what is the scale used?A 1: 200B 1: 300C 1: 400D 1: 600

10 The scale of a map is 1 : 100 000. What is the length, in cm, of a street of length 4

1

km on the map?A 0.25 cmB 0.1 cmC 0.2 cmD 0.5 cm

11 In Diagram 5, scale of 1 : 5

1

was used to draw Object I. Object II is the scale drawing.


Form 3

y

7 cm

I II

DIAGRAM 5

What is the length, in cm, of y?

A 7

5

B 5

7

C 35 D 70

12 In Diagram 6, triangle II is a drawing of triangle I.

DIAGRAM 6

Triangle I has an area of 36 cm², and triangle II has an area of 144 cm². What is the scale that was used?

A 1: 2

1

B 1: 4

1

C 1: 6

1

D 1: 8

1

13 Diagram 7 shows a drawing made of an object using a scale 1: 20.


Form 3

I II

144 cm²36 cm²

12 cm

4 cm

DIAGRAM 7

Find the area of the object.A 192 cm² B 19.2 cm²C 1.92 m²D 0.192 m²

Questions 14 and 15 are based on Diagram 8.

In Diagram 8, Figure B is a drawing of figure A using a scale 1: 5

2

.

10 cm

A B

DIAGRAM 8

14 What is the radius, in cm, of figure A?A 2 B 4 C 8 D 12

15 What is the ratio of the area of figure A to the area of figure B?A 1: 20


Form 3

B 2: 20C 2: 25D 4: 25

16 The area of a square-shaped field is 2 025 m². The field was drawn using a scale 1: 400. Calculate the length, in cm, of the side of the drawing.

A 6 4

1

B 8 4

1

C 10 4

1

D 11 4

1

17 In Diagram 9, figure II is a drawing of figure I.

9.2 cm A B A’ B’

I IIDIAGRAM 9

If the scale 1: 4 was used, what is the length, in cm, of A’B’? A 2.3 B 2.6 C 2.9 D 3.2

18 The distance between two towns, X and Y, is 40 cm on a map. If the scale 1: 50 000 was used, what is the actual distance, in km?A 0.2 B 2 C 20 D 200


Form 3

19 The length of a drain on a map is 4 cm. If the actual length is 100 m, find the scale used in the map.A 1 : 25B 1 : 250C 1 : 2 500D 1 : 25 000

20 A plan for a house uses a scale 1: 100. If the length of the house is 10 m, what is the length, in cm, on the plan?A 0.1 B 1 C 10 D 100

1 Paper 22 This test paper contains 10 questions. Answer ALL the questions.3 The diagrams accompanying the questions are not drawn to scale unless mentioned.4 You are not allowed to use a calculator.

1 In Diagram 1, figure II is a scale drawing of figure I . II

I

1 cm 5 cm

DIAGRAM 1

Find the scale used.

2 The length of Jalan Intan on a map is 3.2 cm. What is the actual length of the road if the scale used in the map is 1: 80 000?


Form 3

3 The distance between two towns X and Y is 4.8 km. If this is represented on the map with a line 1.2 cm in length, find the scale used in the map?

4 A map uses a scale 1: 100 000. Find the area of a square plot of land represented by a square on the map measuring 1 cm by 1 cm.

5 In Diagram 2, figure II is a drawing of figure I using the scale 1: 5

1

.

Area = 10 cm²

I IIDIAGRAM 2

What is the area of figure II?

6 On a map, 1 cm represents 2

1

km. What is the scale used?

7 Write 5 cm: 20 km in the form of 1: n.

8 The height of a chair is 120 cm. If it was drawn using a scale of 1: 20 , find the length of the drawing.

9 Diagram 3 is a rectangular object measuring 500 cm by 20 cm.

500 cm

20 cm

DIAGRAM 3© Pearson Malaysia Sdn Bhd 2007

8 Super Score MathematicsForm 3

If a drawing of the object is made using a scale 1: 20, what is the area of the drawing?

10 A plot of land in the shape of a square has an area of 400 m². If the plot of land is drawn using a scale 1: 250, what is the length of the sides of the square in the drawing?


Form 3

Form 3 - Chapter 9

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