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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.
Write the statements for algebraic expression which are given below:
z - (x + y)
2.
Name the properties, where x, y and z are variable and can takeany numerical values.
x\(\times\)(y + z) = x\(\times\)y + x\(\times\)z
3.
In a school, total number of students are P. If the number of girls in the school are r, then find the number of boys.
4.
Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots with chalk powder). She has 9 dots in a row. How many dots will her Rangoli have for r rows? How many dots are there, if there are 8 rows? If there are 10 rows?
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.
Check, if x = 2 is the solution of given equation.
3x + 5 = 11
7.
Find the solution of the equation 2 x + 5 = 14.
8.
Convert expressions into statements in ordinary language.
(a) 'A pencil costs Rs p and a pen costs Rs 5p.
(b) Leela contributed Rs y towards the Prime Minister's Relief Fund. Leela is now left with Rs (y + 10000).
(c) Kartik is n yr old. His father is 7n yr old.
9.
Solve the following products using distributivity of numbers over addition.
\(11\times 19\)
10.
If there are 50 mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use bfor the number of boxes).
11.
When Ekta multiples a certain number by 17and adds 4 to the product, he gets 225. Find that number.
12.
Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of stepsto the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.
13.
Savitri has a sum of Rs x. She spent Rs 1000 on grocery, Rs 500 on clothes and Rs 400 on education and received Rs 200 as a gift. How much money (in Rs ) is left with her?
x -1700
x -1900
x + 200
x-2100
14.
Which of the following equations has x = 2 as a solution?
x + 2 = 5
x - 2 = 0
2x + 1 = 0
x + 3 = 6
15.
If x takes the value 3, then x + 12 is
16
10
14
15
16.
Which of the following represents 6\(\times\)x?
6x
\(\frac{x}{6}\)
6+x
6-x
17.
If each matchbox contains 50 matchsticks, the number of matchsticks required to fill n such boxes is
50+n
50n
50÷n
50-n
18.
m exceeds n by 10 can be expressed as ________
19.
If 7x + 6 = 48, then the value of x is ___________
20.
p kg of potatoes are bought for Rs 70. Cost of 1 kg of potatoes (in Rs) is ___________
21.
The LHS of an ________ is equal to its RHS only for a definite value of the variable in the equation.
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.
x = 5 is the solution of the equation 3x + 2 = 20
25.
The distance between New Delhi and Bhopal is not a variable
26.
In the equation 7k - 7 = 7, the variable is 7.
27.
The perimeter of a square if each of its side is x units, is 4x units.
1.
In this algebraic expression, sum of x and y is subtracted from z.
2.
Distributivity of numbers
3.
p-r
4.
Given, the number of rows = r and the number of dots in one row i.e. r = 1 is 9\(\times\)1 = 9
∴ The number of dots in 2 rows i.e. r = 2 is 9\(\times\)2 = 18
The number of dots in 3 rows i.e. r = 3 is 9\(\times\)3 = 27
∴ Total number of dots in r rows is = 9\(\times\)r = 9r
Now, if there are 8 rows i.e. r = 8, then the number of dots = 9\(\times\)8 = 72 dots and for r = 10, the number of dots = 9\(\times\)10 = 90 dots.
5.
From the figure, it can be observed that it will required four matchsticks.
ஃ The number of matchsticks required is 4n.
6.
Yes
7.
4.5
8.
(a) The cost of pen is 5 times the cost of a pencil.
(b) Amount left with Leela is Rs 10000 more than the amount she contributed towards Prime Minister's Relief Fund.
(c) Age of Kartik's father is seven times the age of Kartik.
9.
209
10.
Given, b is the number of boxes and the number of mangoes in a box = 50
When there is one box, i.e. b = 1,then the number of mangoes = 50 \(\times\) 1 i.e. 50.
When there are two boxes i.e. b = 2, then the number of mangoes = 50 \(\times\) 2 i.e. 100
When there are three boxes i.e. b = 3, then the number of mangoes = 50 \(\times\) 3 i.e. 150
When there are b boxes i.e. b = b, then the number of mangoes = 50 \(\times\) b = 50b
Hence, total number of mangoes in terms of number of boxes can be written as 50 b.
11.
13
12.
Given, the Meena is at step = 5
Also, Beena is 8 steps ahead.
∴ Beena is at step = 5 + 8 and Leena is 7 steps behind
∴ Leena is at step = 5 - 7
Now, total number of steps = 10 less than 4 times Meena's steps = 4\(\times\)Meena's steps - 10 = 45 -10
Hence, total number of steps using 5 can be expressed as (45 - 10).
13.
(a)
x -1700
14.
(b)
x - 2 = 0
15.
(d)
15
16.
(a)
6x
17.
(b)
50n
18.
( )
m=n+10
19.
( )
x=6
20.
( )
Rs 70+p
21.
( )
equation
22.
( )
solution
23.
(b)
24.
(b)
25.
(a)
26.
(b)
27.
(a)
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