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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
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1.
Study the following patterns.
1 =12, 1 + 3 = 22, 1 + 3 + 5 = 32, 1 + 3 + 5 + 7 = 42
Hence, find the sum of
(a) First 19 odd numbers.
(b) First 21 odd numbers.
2.
In a school, there are four sections of class VI. Each section has 50 students. Money collected for picnic from each student is Rs 125. Find the r total amount collected.
3.
Write the following numbers as directed using dots.
(a) 16 as a square
(b) 26 as a rectangle.
4.
Find 15 x 68, 17 x 23, 69 x 78 + 22 x 69 Using distributive property
5.
Using properties of whole numbers, simplify the following:
(i) 5712 x 75 - 72 x 5712
(ii) 2103 x 68 - 32 x 2103.
6.
Find the product of the smallest whole number with the largest three-digit whole number.
7.
Mohan has Rs 10000 in his account. He spent Rs 5945 on his birthday. How much money left in his account?
8.
Find the value of the following:
(i) 175 x 17 + 175 x 25
(ii) 207 x 80 + 207 x 20.
9.
Study the following patterns.
1 = 12
1 + 3 = 22
1 + 3 + 5 = 32
1 + 3 + 5 + 7 = 42
Hence, find the sum of
(a) first 12 odd numbers
(b) first 50 odd numbers.
10.
Mr. Rajesh withdraws Rs 100000 from his bank account. He purchased a TV set for Rs 38650, a refrigerator for Rs 23880 and jewellery worth Rs 35560. How much money was left with him?
1.
(a) 361
(b) 441.
2.
25000
3.
According to the patterns of whole number,

4.
15 x 68 = 15 x (60 + 8)
= 15 x 60 + 15 x 8
(distributivity of multiplication over addition)
= 900 + 120 = 1020
17 x 23 = 17 x (20 + 3)
= 17 x 20 + 17 x 3
(distributivity of multiplication over addition)
=340+51=391
69 x 78 + 22 x 69
= 69 x 78 + 69 x 22
(commutativity of multiplication)
= 69 x (78 + 22)
(distributivity of multiplication over addition)
= 69 x 100 = 6900.
5.
(i) 17136
(ii) 75708.
6.
0
7.
Rs 4055.
8.
(i) 7350
(ii) 20700.
9.
The given pattern is
1 = 12
1 + 3 = 22
1+ 3 + 5 = 32
1+ 3 + 5 + 7 = 42
(a) Sum of first 12 odd numbers
1+ 3 + 5 + 7 + 9 + 11 + 13 + 15 + 19 + 21 + 23 + 25 = 122 = 1
(b) Similarly, sum of first 50 odd numbers = 502 = 2500.
10.
Given, money withdraws from bank = Rs 100000
Money spent on TV = Rs 38650
Money spent on refrigerator = Rs 23880
Money spent on jewellery = Rs 35560
Total amount spent
= 38650 + 23880 + 35560
= Rs 98090
Left money
= Rs 100000 - Rs 98090 = Rs 1910.
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