6th Standard CBSE Syllabus & Materials
6th Standard CBSE
cbse 6th Standard Social Science CIV - Urban Livelihoods Important Questions And Answers Study Material - QB365 Set C
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Urban Livelihoods Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Urban Livelihoods Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Rural Livelihoods Important Questions And Answers Study Material - QB365 Set C
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Rural Livelihoods Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Rural Livelihoods Important Questions And Answers Study Material - QB365 Set A
Published on: 24/10/2025
Download CBSE Class 6th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 6th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
Draw a circle with radius 3 cm and a circle with same centre and diameter 6 cm. What will be relation between the two?
2.
Construct a line segment \(\bar{AB}\) = 2 cm and \(\bar{PQ}\) = 3 cm. Construct another line segment \(\bar{CD}\) such that length of \(\bar{CD}\) is half the product of lengths of \(\bar{AB}\) and \(\bar{PQ}\). Measure \(\bar{CD}\).
3.
Construct \(\bar{PQ}\) of length 7 cm. From this cut-off \(\bar{PA}\) of length 3.2 cm. Measure \(\bar{QA}\)
4.
How many circles can you draw
(a) with a given centre O and a point, say P?
(b) through two points, say A and B?
(c) four scattered points?
5.
Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
6.
Construct with ruler and compasses, angle of the following measures 45o.
7.
The peculiar number:
There is a number which is very peculiar. This number is three times the sum of its digits. Can you find the number?
8.
The instrument in the geometry box having the shape of a triangle is called a
protractor
compasses
divider
set-square
9.
The instrument to draw a circle is
ruler
protractor
divider
compasses
10.
Perpendicular bisector of a line segment
is perpendicular to it
divides it into two equal parts
Both (a) and (b) are true
None of the above
11.
Which of the following angles can be drawn with the help of a compass?
20°
40°
60°
80
12.
If the diameter of a circle is 16 cm, then what will be its radius?
16 cm
10 cm
8 cm
None of these
13.
The common properties in the two set-squares of a geometry box are that they have a ________ angle and they are of the shape of a ___________.
14.
A chord of a circle is a line segment with its ends point ___________.
15.
A radius of a circle is a line segment with one end at the ______ and the other end _________.
16.
A diameter of a circle is the _________ chord of the circle.
17.
A diameter of a circle is a chord that ___________ through the centre.
18.
It is possible to draw two bisectors of a given angles.
19.
Infinitely many perpendiculars can be drawn to a given ray.
20.
With ruler and compasses, we can bisect any given line segment.
21.
Only one perpendicular bisector can be drawn to a given line segment.
22.
Two perpendiculars can be drawn to a given line from a point not lying on it.
23.
In step 2 above, what would happen if we take radius to be smaller than half the length BC?
1.
Coincide
2.
\(\bar{CD}\) = \(\bar{PQ}\) = 3 cm.
3.
First of all, we construct a line \(\bar{PQ}\) of length 7 cm.
Step I Place the zero mark of the ruler at P.
Step II Mark a point Q at a distance 7 ern from P.
Step III Mark another point A between P and Q at distance 3.2 cm from P such that PA = 3.2 cm.
Step IV Measure line segment \(\bar{QA}\). We fin4 that \(\bar{QA}\) = 7.0 - 3.2 = 3.8 cm.
4.
(a) We can draw an infinite number of circles passing through one given point, say P.
(b) We can draw an infinite number of circles passing through two given points, A and B.
(c) We cannot always draw a circle through four scattered points.
5.
To construct the perpendicular bisector, we use the following steps:
Step I Draw a line segment \(\bar{AB}\) of length 9.5 cm.
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Step II With A as centre and radius more than half of \(\bar{AB}\), draw a circle.
.png)
Step III With B as centre and same radius draw another circle, which intersects the first circle at C and D, respectively.
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Step IV Join CD, which intersects \(\bar{AB}\) at D.
Then, \(\bar{CD}\) is the required perpendicular bisector of \(\bar{AB}\).
6.
On measuring, \(\angle\)COA = 45o.
7.
Let in the number,
unit's digit = x
and ten's digit = Y
Then, the number = 10y + x
Sum of the digits = x + y
According to the question,
10y + x = 3(x + y)
⇒ 10y + x = 3x + 3y
⇒ 2x=7y
⇒ x =\(\frac{7}{2}\)y
When y =0, x =0, which is impossible. When y = 1, x =\(\frac{7}{2}\), which is impossible. When y= 2, x= 7.
Hence, the required number is 27
8.
(d)
set-square
9.
(d)
compasses
10.
(c)
Both (a) and (b) are true
11.
(c)
60°
12.
(c)
8 cm
13.
( )
right, triangle.
14.
( )
circumference
15.
( )
centre, on the circle.
16.
( )
longest
17.
( )
passes
18.
(b)
19.
(a)
20.
(a)
21.
(a)
22.
(b)
23.
( )
The arcs drawn with B and C as centres will not intersect each other.
6th Standard CBSE Syllabus & Materials
6th Standard CBSE
cbse 6th Standard Social Science CIV - Urban Administration Important Questions And Answers Study Material - QB365 Set B
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Urban Administration Important Questions And Answers Study Material - QB365 Set A
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Rural Administration Important Questions And Answers Study Material - QB365 Set C
NEW6th Standard CBSE
cbse 6th Standard Social Science CIV - Rural Administration Important Questions And Answers Study Material - QB365 Set B
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