6th Standard CBSE Syllabus & Materials
6th Standard CBSE
CBSE 6th Social Science The Value of Work - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Social Science Family and Community - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Social Science India's Cultural Roots - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Social Science India,That is Bharat - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Social Science Timeline and sources of history - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Social Science Oceans and Continents - New Sample Question Papers 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.
In the equation x - 3 = 11, x = 12 is not a solution of the equation. Explain, why not?
2.
Find the rule which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule. A pattern of letter U as 
3.
Give expressions for the following cases.
7 added to p
4.
Write the statements for algebraic expression which are given below:
2x-5
5.
Find the rule, which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule.
A pattern of letter F as 
6.
Complete the entries in the following table Sol. and explain why your answer is Yes/No.
| S.no | Equation | Value of the variable | Solution Yes/No |
| 1 | x + 10 = 30 | x= 10 | No |
| 2 | x + 10 = 30 | x=30 | No |
| 3 | x + 10 = 30 | x=20 | Yes |
| 4 | p-3 = 7 | p=5 | No |
| 5 | p-3=7 | p=15 | _____ |
| 6 | p-3=7 | p=10 | _____ |
| 7 | 3n=21 | n=9 | _____ |
| 8 | 3n=21 | n=7 | _____ |
| 9 | \(\frac { 1 }{ 5 } \)=4 | t=25 | _____ |
| 10 | \(\frac { t }{ 5 } \)=4 | t=20 | _____ |
| 11 | 2l+3=7 | l=5 | _____ |
| 12 | 2l+3=7 | l=1 | ____ |
| 13 | 2l+3=7 | l=2 | _____ |
7.
Check, if x = 2 is the solution of given equation.
2x + 4 = 8
8.
A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.
9.
If there are 25 pictures in an album, then find the rule which gives total number of pictures in 'x' albums.
10.
The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use S for the number of students).
11.
The internal angels of an equilateral triangle are x, 2x, 4x and 5x. What is the difference between the largest and smallest angle?
12.
The perimeter of an equilateral triangle having each side x cm long is 15 cm. Find the length of the side.
13.
Solve: r+ 5 = 5
0
1
5
-5
14.
The expression for '1 subtracted from 2p' is
2p-1
2p+1
1-2p
-2p-1
15.
Which of the following equations has x = 2 as a solution?
x + 2 = 5
x - 2 = 0
2x + 1 = 0
x + 3 = 6
16.
Which of the following represents 6\(\times\)x?
6x
\(\frac{x}{6}\)
6+x
6-x
17.
Given, expression for P divided by 15 is
P-15
P+15
P÷15
\(p\times 15\)
18.
The two digit number whose ten's digit is 't' and units's digit is 'u', is __________
19.
m exceeds n by 10 can be expressed as ________
20.
The solution of the equation 5x - 4 = - 24 is __________
21.
p kg of potatoes are bought for Rs 70. Cost of 1 kg of potatoes (in Rs) is ___________
22.
The value of the variable in an equation which satisfies the equation is called a _________ to the equation.
23.
3x - 6 > 15 is an equation.
24.
t minutes are equal to 60 t seconds.
25.
In the equation 7k - 7 = 7, the variable is 7.
26.
2 is the solution of the equation x + 4 = 5
27.
The total distance travelled by a car in x h at a constant speed of y km/h, is xy km.
28.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
20-(10-5)=3x5
29.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
\(\frac { 3q }{ 2 } <5\)
30.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable
7 = (11 x 2) + p
31.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable
5x4-8=2x
32.
Can you now write the rule for making patterns of F?
1.
For x = 12,
LHS of the equation = x - 3
= 11 - 3 = 8 ≠ RHS
Thus, x = 12 is not a solution of this equation.
2.
The required rule for a pattern of letter U is 3n.
3.
When 7 is added to p, then expression is p + 7.
4.
In this algebraic expression, 5 is subtracted from product of2 and x.
5.
From the figure, it can be observed that it will required four matchsticks.
ஃ The number of matchsticks required is 4n.
6.
| Equation | Value of the variable | Solution Yes/No | |
| 1 | x + 10 = 30 | x= 10 | No, as 10 + 10 = 20 ≠ 30 |
| 2 | x + 10 = 30 | x=30 | No, as 30 + 10 = 40 ≠ 30 |
| 3 | x + 10 = 30 | x=20 | Yes, as 20 + 10 = 30 |
| 4 | p-3 = 7 | p=5 | No, as 5 - 3 = 2 ≠ 7 |
| 5 | p-3=7 | p=15 | No, as 15-3= 12 ≠7 |
| 6 | p-3=7 | p=10 | Yes, as 10 - 3 = 7 |
| 7 | 3n=21 | n=9 | No, as 3 x 9 = 27 ≠ 21 |
| 8 | 3n=21 | n=7 | Yes, as 3 x 7 = 21 |
| 9 | \(\frac { 1 }{ 5 } \)=4 | t=25 | No,as\(\frac { 25 }{ 5 } =5\neq 4\) |
| 10 | \(\frac { t }{ 5 } \)=4 | t=20 | Yes, as \(\frac { 20 }{ 5 } \)=4 |
| 11 | 2l+3=7 | l=5 | No,as 2(5)+3=10+3=13≠7 |
| 12 | 2l+3=7 | l=1 | No,as 2(1)+3=2+3=5≠7 |
| 13 | 2l+3=7 | l=2 | Yes, as 2(2) + 3 = 4 + 3 = 7 |
7.
Yes
8.
Given, the height of a rectangular box = h cm
According to the question,
Length of the box = 5 times the height = 5h cm
and breadth of the box = 10 ern less than the length = 10 em less than 5h = (5h -10) cm.
9.
25x
10.
Let number of students = 5
Given, number of pencils distributed to each student = 5
When there is one student i.e. 5 = 1, then the number of pencils = 5 \(\times\) 1 i.e. 5
When there are two students i.e. 5 = 2, then the number of pencils = 5 \(\times\) 2 i.e. 10
When there are three students i.e. 5 = 3, then the number of pencils = 5 \(\times\) 3 i.e. 15
When there are 5 students i.e. 5 = 5, then the number of pencils = 5 \(\times\) 5. i.e. 55
Hence, 55 pencils are needed for 5 students.
11.
1200
12.
5 cm
13.
(a)
0
14.
(a)
2p-1
15.
(b)
x - 2 = 0
16.
(a)
6x
17.
(c)
P÷15
18.
( )
10t+u
19.
( )
m=n+10
20.
( )
x=-4
21.
( )
Rs 70+p
22.
( )
solution
23.
(b)
24.
(a)
25.
(b)
26.
(b)
27.
(a)
28.
( )
Is an equation LHS =RHS : It is an equation in numbers
29.
( )
Is not an equation LHS ≠ RHS : Related variable = q
30.
( )
Is an equation LHS =RHS : Related variable = p
31.
( )
Is an equation LHS=RHS : Related variable = x
32.
( )
Yes! the required rule is as follows:
Number of matchsticks required = 4n where n is a variable which can take any value 1,2, 3, 4, ..., etc.
6th Standard CBSE Syllabus & Materials
6th Standard CBSE
CBSE 6th Social Science Locating Places on the Earth - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Science A Journey Through States of Water - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Science Temperature and its Measurement - New Sample Question Papers Study Material - QB365 Set A
NEW6th Standard CBSE
CBSE 6th Science Materials Around Us - New Sample Question Papers Study Material - QB365 Set A
NCERT Books
Syllabus
Exam Pattern
Sample Question Papers
Previous year Question Papers
Important Notes
MCQ Practice test
NCERT Exemplers
Case study Questions
Image Based Questions
Passage based Questions
HOT Questions
Value Based Questions
Model Questions Papers
NCERT ( Book Back ) Questions
Assertion and Reason
Important Questions And Answers
CBSE 6th Standard CBSE Subjects
CBSE Standards
