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D12 CHECK YOUR LEVEL

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.
The string of a kite is 150 m long and its makes 30° to the horizontal. Find the height of the kite
a)
75 m
b)
100 m
c)
120 m
d)
85 m
2.
The scale of chords is used to measure the ......
a)
Length
b)
Area
c)
Angle
d)
Diameter
3.
Path of a projectile is in the form of a..
a)
Ellipse
b)
Hyperbola
c)
Semicircle
d)
Parabola
4.
The value of sin 30° + Cos 60° + tan 45° = ...
a)
2/√3
b)
2
c)
1/√3
d)
1
5.
A line is inclined to both HP and VP, the length of elevation and plan is
a)
Same as true length
b)
Greater than the true length
c)
Double the length of true length
d)
Less than the original length
6.
Sin 50° = 0.766 then value of sec 40° is
a)
1.532
b)
1/1.532
c)
1/0.766
d)
0.766
7.
The symbol for indicating the angle of projection recommended by BIS
a)
Two views of frustum of cone lying horizontally
b)
Two views of frustum of cone lying vertically
c)
Two concentric circles and rectangle
d)
None of the above
8.
Sin²30° + cos²30° = .....
a)
1/4
b)
1/2
c)
1
d)
0
9.
Take the odd one out
a)
Octagon
b)
Square
c)
Hexagon
d)
Pentagon
10.
sin 3A =
a)
4 sin A - 3 sin³A
b)
3 sin A + 4 sin³A
c)
3 sin²A - 4 sin A
d)
3 sin A - 4 sin³A
11.
A right circular cone is resting on HP by its base, a parallel cutting plane passing through half of the height of cone. The area of cut section will be equal to:
a)
1/4th area of the base.
b)
1/2th area of the base.
c)
1/3th area of the base.
d)
Equal to the area of the base.
12.
The maximum slant edge length of square pyramid of base edge 6 cm and height 8 cm.
a)
√64
b)
√100
c)
√82
d)
√73
13.
A line AB 60 mm long inclined 60° to HP and parallel to VP, the length of plan view is:
a)
60 mm
b)
30 mm
c)
42.5 mm
d)
52.5 mm
14.
Scalene triangle is a triangle:
a)
Having three equal sides
b)
Two equal sides and right angle
c)
Two equal sides and two angles
d)
Three different sides and angles
15.
'R.F' of a scale used in engineering drawings represents:
a)
Reduced fraction
b)
Recommended fraction
c)
Representative fraction
d)
Remedial fraction
16.
'BIS' abbreviation stands for:
a)
Bureau of Indian Standards
b)
Business Info Systems
c)
Bureau of Investigation
d)
Bureau of Instruments
17.
A point 'P' 3 cm above HP and 2 cm behind VP, which of the following is true:
a)
Elevation above x-y
b)
Plan above x-y
c)
Point in second angle
d)
All statements are true
18.
In which regular polygon sides equal radius of circumscribing circle:
a)
Octagon
b)
Heptagon
c)
Hexagon
d)
Pentagon
19.
Take the odd one out:
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
20.
The maximum number of tangents drawn to a circle from a point outside:
a)
2
b)
4
c)
16
d)
infinity
21.
Which of the following statement is not related to ellipse?
a)
Eccentricity < 1
b)
Two directrices
c)
One axis
d)
Two foci
22.
If 2m+n = m + 2n, then m - n equals:
a)
0
b)
2
c)
3
d)
4
23.
The included area of parabola is approximately equal to ______ area of the circumscribing parallelogram:
a)
3/4
b)
2/3
c)
1/2
d)
1/4
24.
25% of 200 + 20% of 150 is:
a)
50
b)
60
c)
70
d)
80
25.
The eccentricity of a parabola is:
a)
e > 1
b)
e < 1
c)
e ≥ 1
d)
e = 1