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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 line \(\bar{AB}\) = 4 cm. Construct a perpendicular bisector XC of it. Measure \(\angle\)XCA.
2.
Are 10, 15, 20 and 30 in proportion?
3.
Find the perimeter of a rectangle whose area is 3400 cm2 and breadth is 17 cm.
4.
List any three letters having same mirror image as the object (identical).
5.
Find the range of data 9, 7, 2, 6, 1, 3, 4, 12.
6.
Find the distance travelled by Soniya, if she takes three rounds of a squared park of side 60 m.
7.
Write each of the following as decimals.
(a) Three ones and six-tenths
(b) Fifty and one-tenth
8.
On Aruna's birthday, his mother bought biscuits for Rs 250, cake for Rs 170.50, chocolate munch for Rs 140.75 and toffees for Rs 120.75. For the total amount spent by her in all.
9.
A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.
10.
The Adjoining bar graph shows the number of houses (out of 1000) in a town using different types of fuels for cooking. Read the bar graph and answer the following questions.
(a) Which fuel is used in maximum number of houses?
(b) How many houses using coal as fuel?
(c) How many houses using LPG as fuel?

11.
The expression for ' 2 times x to which 1 is added is
2x+1
x+2
1-2x
2x-1
12.
The radius of a circle is r. Its diameter is
2r
4r
3r
6r
13.
Ifa bus travels 160 km in 4 h and a train travels 320 km in 5 h at uniform speeds, then the ratio of the distances travelled by them in one hour is
1:2
4:5
5:8
8:5
14.
In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?
18
19
21
22
15.
Two lines are perpendicular, if they intersect each other at
acute angle
right angle
obtuse angle
None of these
16.
0.023 lies between
0.2 and 0.3
0.02 and 0.03
0.03 and 0.029
0.026 and 0.024
17.
Which of the following letters does not have the vertical line ot symmetry?
M
H
E
V
18.
The perimeter of an equilateral triangle of side 5 cm each is
\(\frac { \sqrt { 3 } }{ 4 } \times 15cm\)
\(\frac { \sqrt { 3 } }{ 4 } \times 10cm\)
10 cm
15 cm
19.
The cost of 21 chairs is Rs 42000.
(a) Find the number of chairs that can be purchased for Rs 36000.
(b) Find the cost of 15 such chairs.
20.
Reshma went to the market with Rs 5000 cash. Out of this money she purchased one frock, one toy and one bag costing Rs 1150.48, Rs 540.52 and Rs 2160.70, respectively. How much money is left with her?
21.
A rectangular park is 100 m long and 50 m wide How many rounds are needed to cover the distance of 1.2 km?
1.
\(\angle\)XCA = 90o.
2.
Ratio of 10 to 15 \(=\frac{10}{15}=2:3\)
Ratio of 20 to 30 \(=\frac{20}{30}=2:3\)
Since, 10:15 = 20:30
Hence, 10,15,20 and 30 are in proportion.
3.
434 cm
4.
A, O and T
5.
Range of data = 12 - 1 = 11.
6.
Perimeter of a squared park = 4 \(\times\) Length of a side = 4 \(\times\) 60 = 240 m
Distance covered in one round = 240 m
Distance covered in three rounds = 3 \(\times\) 240 m = 720 m
7.
(a) Three ones and six-tenths = 3 + 6 \(\times\) \(\frac { 1 }{ 10 } \) = 3 + 0.6 = 3.6
(b) Fifty and one-tenth = 50 + 1 \(\times\) \(\frac { 1 }{ 10 } \) = 50 + 0.1 = 50.1
8.
Rs 682
9.
Given, length of the floor = 5 m
and breadth of the floor = 4 m
Then, area of the floor
= Length \(\times\) Breadth
= 5 m \(\times\) 4 m = 20 sq m
Side of the square carpet = 3 m
∴ Area of the carpet = Side \(\times\) Side = 3 m \(\times\) 3 m= 9 sq m
Now, area of the floor that is not carpeted
= Area of the floor - Area of the carpet
= (20 - 9) sq m = 11sq m
Hence, 11 sq m area of the floor is not carpeted
10.
(a) LPG is used in maximum number of houses.
(b) 100 houses use coal as fuel.
(c) 350 houses use LPG as fuel.
11.
(a)
2x+1
12.
(a)
2r
13.
(c)
5:8
14.
(d)
22
15.
(b)
right angle
16.
(b)
0.02 and 0.03
17.
(c)
E
18.
(d)
15 cm
19.
(a) 18
(b) Rs 30000
20.
Reshma has cash in hand = Rs 5000
Cost of one frock = Rs 1150.48
Cost of one toy = Rs 540.52
Cost of one bag = Rs 2160.70
_____________
\(\therefore\) Total cost = Rs 3851.70
_____________
Total cash in hand = Rs 5000.00
Total money spent = -Rs 3851.70
____________
\(\therefore\) Balance = 1148.30
____________
Hence, the money left with Reshma is Rs 1148.30.
21.
4
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