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1.

Redraw Figure 1 using geometrical methods. PS is an arc of the circle. The new position of line PQ is as shown. [SPM 2000]

P

S x

R

R

O

P

Q O

S Q

Figure 1


1.

Redraw the Figure 1 using geometrical methods. The new position of line AB is as shown. [SPM 1995]

C C

D

D E

O

E x

O

A

A

Figure 1

B

B


1.

Figure 1 shows a template ABC. BC is an arc of the circle. The new position of line AB is as shown. Redraw the template using geometrical methods. [SPM 2002]

O1 C

B C

O

A

O1 A

Semicircle Figure 1

B


2.

AB is a base of the triangle ABC. Draw the triangle, given apex angle 60o and height of the triangle is 85 mm. [SPM 2003]

C

C1

O

A

B


Figure 2 shows a template ABCD. Draw in full size the given template. [SPM 2000] D

75

2.

D

60째

B

30째 A

30째 90

C B

Figure 2

A

C


2.

B

Figure 2 shows a triangle ABC. The median Aa = 120 mm, Bb = 90 mm and Cc = 75 mm. Draw the triangle in full size.

b

1 2

[SPM 2005]

c

C B

3

1 2

c

3

a

B

A b

Figure 2

C

c

A

a

O 1

b

2 3

C

x


Figure 2 shows a template ABCD. Draw the template in full size using geometrical methods.The new position of point A and point C are as shown. [SPM 2007]

B

B 60째

D 90

D 55

2.

O1

C

A Figure 2

A

O

C


3.

Enlarge the Figure 3 in the area ratio 4:3. [SPM 1999]

1

Figure 3

2

3

4


3.

Enlarge the figure below in the area ratio 5:3. [SPM 2004]

H

A

F

B

5

G 3

E

D

C


3.

Figure 2 shows a square ABCD. Construct a rectangle equal to the square with AP is a new base of the rectangle. [SPM 1998]

D

C

R

B

Q

A

O

O1

Figure 2

P


3.

Figure 3 shows a quadrilateral ABCD. Construct a square in area to the quadrilateral. [SPM 2007] C

B

A

P

Q

O

Figure 3

D


3.

Figure 3 shows a triangle ABC. Construct a rectangle with a height of 60 mm equal to the tringle. [SPM 2005]

C

A

B

Figure 3


3. Draw a square is equal in area to the Figure 2. [SPM 1999]

C

D

x

A

B

Figure 2


4.

Figure 4 shows a template ABCDEFG. C, E, F and G are tangent points. DE is a tangent line. AS is the Symmetry axis of the half parabola AB. Draw the template in full size. The new position of point D is as shown.

4 3

[SPM 2007]

2 1

x

A

1

75

3

5

55

2 P R

G

Rx

R

R2 0 B

B

S

F 80

Q

4

G

C

45

0 R3

R S

R80

F

2

P

Half parabola

A

C

Q

E 80

D

50

Figure 4 E

O1 O

D


4.

Figure 3 shows a template ABCDEFG. A, B, C, D, E and G are tangent points. CD is a tangent line. E is a vertex for the half parabola EF. Draw the template in full saiz using geometrical methods. [SPM 2006]

B x C

70

C

35

0 R9 0 J9

R J2 25 5

B

A R J1 15 5

A 0 R2 20 J

G

E

E

D 65

80

G

Quadrant of an ellipse

1

D

O1

Half parabola

2 50

F

Figure 3

3 4

O

F

1 2 3 4

P


5.

Figure 4 shows two views of object A. Draw the top view of the object. Show the projection lines. Hidden detail must be drawn. [SPM 2007]

Object A

Figure 4


5.

Project the top view of the given object. [SPM 1996]

Object


6.

Project the depth auxialiry view in the X1Y1 plane. Do not draw hidden details. [SPM 1997]

X1

Object Y1


6.

Figure 5 shows two views of object B. Project the depth auxiliary view of the object on the X1Yi plane. Do not show hidden details. [SPM 2001]

Object B

Y1

X

Y

X1

Figure 5


6.

Figure 6 shows three views of a shaped block. Draw in full size the isometric view of the block in direction of the arrow shown. The size of the grid is 10 mm x 10 mm. Do not show hidden details. [SPM 2004]

Figure 6


6.

Figure 5 shows two views of an object. Draw in full size the isometric view of the object in the direction of the arrow shown. The grid size is 10 mm x 10 mm. Hidden details not to be shown. [SPM 1998]

Figure 5


6.

Figure 6 shows three views of a block. Draw in full size the isometric view of the block in the direction of the arrow shown. The grid size is 10 mm x 10 mm. Do not draw the hidden details. [SPM 2000]

P' P

Figure 6


6.

Figure 5 shows two views of an object. Draw in full size cavalier oblique view of the object. Choose the suitable orientation. The grid size is 10 mm x 10 mm. Do not show the hidden details. [SPM 2003]

Figure 5


7.

Figure 6 shows the top view and the front view of object A. Draw a one-point perspective view of the object. The picture plane (PP), horizon line (HL), ground line (GL), station point (SP) and orientation of the top view are given. Hidden details need not be shown.

Top View

[SPM 2003]

PP VP

HL

Object

GL

Front View

Figure 6 SP


7.

Figure 4 shows a top view and side view of an object A. Draw a two-point perspective view of the object. The position of picture plane (PP), horizon line (HL), ground line (GL), station point (SP) and the orientation of the top view are given. Do not draw hidden details.

Top View

[SPM 1996]

Object

PP

1

2

HL

VP1

VP2

GL Figure 4

SP

Front View


8.

Draw a full development of the object shown. Use K-K’ as the seam. [SPM 1997]

K

K’

K/K'

K

K'

Object


8.

Figure 7 shows two views of object B. Draw a full development of the object. [SPM 2002] 7

6

8

5

4

9

b

3

K-K'

Object B 2

a

1 K

K'

Figure 7

K

1

a

2

3 b

4

5

6

7

8

9

K'


8.

Figure 7 shows two views of object D. Object D is a combination of half a regular hexagon pyramid and half of a truncated cone. Draw a full development of the object. Use K-K’ as the seam.

5

[SPM 2006]

K'

6 a

4

8

b 7

3

7 K 2

K

8 1

a

b

6

K'

5 K

K'

4

K

Object D

3 2 1 K'

Figure 7

K


8.

Figure below shows two views of an object. Draw a full development of the object. [SPM 1998]

3 K'

Object 3

2

P

K

2

K

1

K' P P

1

K K

K'

K'


8.

Complete a front view of the object shows below by draw the intersection lines. Hidden details must be drawn. [SPM 1995]

Object


8.

Figure 7 shows three orthographic views of object C. Object C shows the intersection between a pyramid and a half cylinder. Complete the top view and the front view of the object by drawing intersection lines. Do not draw hidden lines. [SPM 2007]

Top View

Object C

Front View

Side View

Figure 7


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