Unit-I

1. Draw a hypocycloid where the diameters of the rolling and the directing circles are equal to 50
mm and 150 mm respectively. Draw a normal and a tangent to the curve at a convenient point.
2. Construct a parabola when the distance between focus and directrix is 50mm also draw a
tangent and normal at a point distance 65mm from directrix
3. Draw a parabola that has a distance of 50 mm between the focus and the directrix. Draw a
normal and a tangent to the parabola at a point 35 mm from the focus.
4. Draw a hyperbola with the distance between its focus and directrix equal to 75 mm and the
eccentricity to 3/2. Draw a normal and a tangent to the curve at a point P on the curve, 65 mm
from the focus.
5. Construct a hyperbola with its foci 70 mm apart and the major axis as 40 mm. Draw a tangent
to the curve at a point 20 mm from the focus.
6. Draw an ellipse when the distance of its focus and directrix is 50mm and eccentricity is 2/3.
Also draw a tangent and normal to the ellipse at a point 70mm away from directrix
7. The distance between directrix of an ellipse is 170 mm and the distance between its foci is
70mm. Determine its major and minor axes and construct the ellipse using ‘concentric circles’
method
8. The major and minor axes of an ellipse are 80 mm and 50 mm respectively. Construct the
ellipse using ‘arc of circles’ method
9. A circle of 40 mm diameter rolls along a straight line without slipping. Draw the curve traced
by a point ‘P’ on the circumference for one complete revolution. Also draw a normal and
tangent to the curve at a point 25 mm from the directing line.
10. Construct a cycloid of a point ‘P’ on the topside of the circle of 50mm diameter rolls along a
straight line without slipping for one and half revolution. Also draw a normal and tangent to the
curve at a point 25 mm from the directing line
11. A circle of 40 mm diameter is rolling outside the circle of radius 60 mm. Draw the locus of a
point on the circumference of rolling circle for one complete revolution.
12. Draw an epicycloid having a generating circle of diameter 50 mm and a directing curve of
radius 100 mm. Also draw a normal and a tangent at any point M on the curve which is 120mm
from the centre of directing circle.
13. Construct a plain scale of RF=1:50,000 to show kilometers and hectometers and long enough
to measure upto 7 km. Mark a distance of 5.3 km on the scale.
14. If 1 cm long line measures a real distance of 40 m. Find R.F. The scale is to measure upto
metre and long enough upto 500 m. Mark on it a distance of 256 m.
15. Construct a scale to be used with a map, the scale of which is 1cm = 500m. The maximum
length to be read is 5km. Mark on the scale a distance of 3.85 km.
16. Construct a diagonal scale to read up to 0.1 mm, and mark on it a distance of 6.63 cm. Take the
scale as 3:1
17. Construct a Diagonal scale of RF = 3:200 showing meters, decimeters and centimeters. The
scale should measure up to 6 meters. Show a distance of 4.56 meters.
18. Construct a diagonal scale to read 2 km when its RF=1:20,000. Mark on it a distance of 1.15
km.
19. Draw a Vernier scale of R.F.=1/25 to read up to 4 meters on it show lengths 2.39 m and 0.91
m.
20. Construct a Vernier scale of R.F=1:2.5 to show decimeters, centimeters and millimeters. The
scale should be capable of reading up to 4 decimeters. Mark on your scale the following
distances: (i) 3.23 dm and (ii) 3.65 dm.
21. The actual length of 500 m is represented by a line of 15 cm on a drawing. Construct a Vernier
scale to read up to 600 m. Mark on it a length of 568 m
Unit-II
1. The plan of the point P lies 40 mm above the reference line xy and its elevation 50 mm above
the reference line xy. Mention the quadrant in which the point is situated. Draw its projections
and find the shortest distance of the point from the intersection of the HP and VP.
2. A 70 mm long straight line PQ is parallel to and 15 mm above the HP. The end P is 20 mm in
front of the VP and the end Q is in the first quadrant. If the line is inclined at 45° to the VP,
draw the projections of the line and find the distance of the Q from the VP
3. A straight line CD of 50 mm length is parallel to the HP and inclined at 30° to the VP. Its end
C, which is nearer to the VP is 10mm from the VP and 25mm from the HP. Draw the
projections of the line CD
4. A straight line AB of 60 mm length is parallel to the HP, and its front view measures 30 mm. If
its end A, which is nearer to the reference planes, is 10 mm above the HP and 15 mm in front
of the VP, draw the projections of AB and find its inclination with the VP
5. A straight line CD has its end point C 10 mm in front of the VP and 15 mm above the HP. The
line is inclined at 45° to the VP and its top view measures 40 mm. Draw the projections of the
line CD if it is 50 mm long, and is in the first quadrant.
6. The front view of a 60 mm long line AB measures 48 mm. Draw the projections of AB if end
point A is 10 mm above the HP and 12 mm in front of the VP, and the line is inclined at 45° to
the HP. Draw the projections of AB and find the angle of inclination of line AB with the VP
7. A rectangular plate of negligible thickness of size 35 × 20 mm has one of its shorter edges in
the VP, with that edge inclined at 400 to HP. Draw the top view, if its front view is a square of
side 20 mm.
8. A cone of diameter of base 60 mm and axis length equal to 120 mm rests on a point of its
periphery of the base on H.P such that its axis is inclined at an angle of 350 with the H.P and
600 with the V.P. and the apex is near to the observer. Draw its projection.
9. A hexagonal pyramid of side of base 30 mm and axis length 90 mm rests on one of its slant
edge on the H.P such that the plane containing that slant edge on which it rests on H.P. is
inclined at 450 to V.P. and the apex is near to the V.P. Draw the projection of it
.
Unit-III
1. A pentagonal prism with edge of the base 25 mm and axis 50 mm rests on one of its
rectangular faces with the longer edges parallel to the VP. Draw the projections of the prism.
2. A cone of base diameter 50 mm and axis 60 mm has its base perpendicular to the HP and the
VP. Draw the three views of the cone if the apex is 50 mm away from both the HP and the VP.
3. A square pyramid with edges of the base 30 mm and slant edges 50 mm has its base on the
ground with two edges of the base parallel to the VP. Draw the projections of the pyramid.
4. A cube having its solid diagonal of 50 mm length has one of its faces on the HP while two
opposite side faces are inclined at 30° to the VP. Draw its projections.
5. A cone of base diameter 50 mm and axis 60 mm rests on one of its generators with axis parallel
to the VP. Draw the three views of the cone.
6. A cylinder of 50 mm diameter and 60 mm length rests on one of its generators on the HP with
its lat faces inclined at 60° to the VP. Draw the three views of the cylinder.
7. A pentagonal prism of edges of the base 25 mm and axis 60 mm rests on one of its edges of the
base with the axis parallel to the VP and inclined at 30° to the HP. Draw the projections of the
prism.
8. A hexagonal pyramid of edges of the base 40 mm and axis 40 mm has one of its corners of the
base in the VP with the axis parallel to the HP and inclined at 45° to the VP. Draw the
projections of the pyramid.
9. A frustum of a square pyramid with 20 mm edges at the top, 40 mm edges at the bottom, and
50 mm axis has one of its side surfaces inclined at 30° to the HP with the axis parallel to the
VP. Draw the projections of the frustum.
10. A square pyramid with edges of the base 40 mm and axis 40 mm has one of its triangular faces
in the VP with the axis parallel to the HP. Draw the three views of the pyramid.
11. A tetrahedron of 50 mm height has one of its slant edges inclined at 30° to the HP, and the
plane containing this slant edge and the axis is parallel to the VP. Draw the projections of the
tetrahedron.
Unit-IV
1. A square pyramid of base side 25 mm and altitude 50 mm rests on its base on the HP with
two sides of the base parallel to VP. It is cut by a plane bisecting the axis and inclined at 30 0
to the base. Draw the front view, sectional top view and true shape of the section. Also draw
the development of the lower part of the pyramid.
2. A hexagonal pyramid of 25 mm edge of base and axis 50 mm long is resting on its triangular
face in the HP with its axis parallel to the VP. It is cut by a section plane perpendicular to the
HP and inclined at 300 to VP, and passing through a point on the axis 20 mm from the base.
Draw the top view, sectional front view and true shape of the section when the apex is removed
3. A rectangular pyramid, side of base 30 mm × 40 mm and axis 50 mm long, stands with its
base on the HP and a diagonal of its base parallel to the VP. It is cut by a section plane
perpendicular to the VP, inclined at 450 to the HP and intersecting the axis at a point 20 mm
distant from the vertex. Draw the development of the lateral surface of the truncated pyramid.
4. A rectangular pyramid, side of base 30 mm × 40 mm and axis 50 mm long, stands with its base
on the HP and a diagonal of its base parallel to the VP. It is cut by a section plane
perpendicular to the VP, inclined at 450 to the HP and intersecting the axis at a point 20 mm
distant from the vertex. Draw the development of the lateral surface of the truncated pyramid.
5. Draw the development of the lower portion of a cylinder, diameter of 50 mm and axis 75 mm,
when it is cut by a plane perpendicular to the VP, inclined at 450 to the HP and passing
through the mid-point of the axis
Unit-V
1. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view
2. Draw the isometric view of the following figure. All dimensions are in mm

3. Draw the isometric view of the following figure. All dimensions are in mm

4. The two views of an object are shown in figure . Draw its isometric view. All the dimensions are
in mm only
5. Draw the isometric view of the following figure. All dimensions are in mm

6. The two views of an object are shown in figure . Draw its isometric view. All the dimensions
are in mm only

7. The two views of an object are shown in figure. Draw its isometric view. All the dimensions
are in mm only
8. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view.

9. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view.

10. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view.

11. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view.
12. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view

13. Draw the front view, top view and any one side view of the block shown in figure. All
dimensions are in mm. The arrow indicates the front view