CBSE Class 6 Maths - Playing With Numbers - NCERT Exercise 3.3 (#cbsenotes)

Playing With Numbers

EXERCISE 3.3

CBSE Class 6 Maths

Q1: Using divisibility tests, determine which of the following numbers are divisible by 2;
by 3; by 4; by 5; by 6; by 8; by 9; by 10 ; by 11 (say, yes or no):

┌───────┬────────────────────────────────────────┐
│ Number│          Divisible By                  │
├───────┼───┬───┬────┬────┬────┬────┬────┬───┬───┤
│       │ 2 │ 3 │ 4  │ 5  │ 6  │ 8  │ 9  │ 10│11 │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 128   │ Y │ N │ Y  │ N  │ N  │ Y  │ N  │ N │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 990   │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 1586  │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 275   │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 6686  │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│639210 │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│429714 │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 2856  │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│ 3060  │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
├───────┼───┼───┼────┼────┼────┼────┼────┼───┼───┤
│406839 │ ? │ ? │ ?  │ ?  │ ?  │ ?  │ ?  │ ? │ ? │
└───────┴───┴───┴────┴────┴────┴────┴────┴───┴───┘

Answer:

CBSE Class 8 - Our Pasts III - CH2 - From Trade to Territory (MCQs) (#cbsenotes)

From Trade to Territory 

MCQs based on NCERT Class 8 - Our Pasts III Chapter 

① ___________ introduced 'Doctrine of Lapse'

ⓐ Lord Dalhousie

ⓑ Robert Clive

ⓒ Warren Hastings

② Who led the East India Company in the Battle of Plassey?

ⓐ Warren Hastings

ⓑ Mir Jafar

ⓒ Robert Clive

③ When was the Battle of Plassey fought?

ⓐ 1757

ⓑ 1857

ⓒ 1774

CBSE Class 6/7/8 - English Grammar - Proper Nouns vs Common Nouns (Worksheet) (#cbsenotes)

Proper Nouns vs Common Nouns

Worksheet

English Grammar

A noun is the name of a place, person, quality, or action. Common nouns refer to ordinary things whereas proper nouns denote to a specific person or persons or specific things or places

Circle the proper nouns and underline the common nouns in the following sentences.

1. Mrs. Sharma is painting her wall.

2. Galileo Galilei invented the telscope.

3. Maruti is a company that manufactures cars.

Biology - Famous Indian Biologists (AIPMT/NEET/NTSE) (#ntse)(#neet)

Famous Indian Biologists

① Father Of India Bryology (Bryphytes) : Shiv Ram Kashyap

② Discovered recurrent annual wheat rust on Indian Plants : K C Mehta

③ Father of Indian Palynology : P K Nair

④ Father of Indian Ecology : Ram Deo Mishra

⑤ Father of Indian Plant Embryology : Panchanan Maheshwari

⑥ Father of Indian Paleobotany : Birbal Sahani

⑦ Father of Indian Plant genetics : B P Pal

CBSE Class 6 Maths - Playing With Numbers - NCERT Exercise 3.2 (#cbsenotes)

Playing With Numbers

EXERCISE 3.2

CBSE Class 6 Maths

Ulam Spiral (Arrange Numbers in Spiral and make Prime Number)
credits: wikipedia user:onmywaybackhome

Ulam Spiral (You see prime numbers appear at
diagonals of rectangles)
credit: wikipedia

Q1. What is the sum of any two 
       (a) Odd numbers? 
       (b) Even numbers?

Answer:

(a) The sum of any two odd numbers is an even number.
Example:
1 + 3 = 4,
7 + 5 = 12
(b) The sum of any two even numbers is also an even number.
Example: 2 + 4 = 6,
8 + 18 = 26

CBSE Class 10 - Maths - Number Systems - Problems and Solutions (#cbsenotes)

Number Systems

Problems and Solutions

(CBSE Class 10)

Q1: Find HCF and LCM of 126 and 156 using prime factorization method.

Answer: HCF of 126 is:

           126
           ╱╲
          2  63
             ╱╲
            3 21
              ╱╲
             3  7

∴ 126 = 2 × 3 × 3 × 7 = 2 × 3² × 7

    HCF of 156 is:

           156
           ╱╲
          2 78
            ╱╲
           2 39
             ╱╲
            3 13

∴ 156 = 2 × 2 × 3 × 13 = 2² × 3 × 13  

∴ HCF (126, 156) = product of common factors with lowest power

= (2ⁱ × 3ⁱ) = 6

CBSE Class 6 Maths - Playing With Numbers - NCERT Exercise 3.1 (#ncertSolutions)

Playing With Numbers
NCERT Exercise 3.1

CBSE Class 6 Maths 

Q1. Write all the factors of the following numbers :
(a) 24
(b) 15
(c) 21
(d) 27
(e) 12
(f) 20
(g) 18
(h) 23
(i) 36

Answer:
(a) 24 = 1 × 24
= 2 × 12
= 3 × 8
= 4 × 6
= 6 × 4
∴ Factors of 24 = 1, 2, 3, 4, 6, 12, 24

(b) 15 = 1 × 15
= 3 × 5
= 5 × 3
∴ Factors of 15 = 1, 3, 5, 15

(c) 21 = 1 × 21
= 3 × 7
= 7 × 3
∴ Factors of 21 = 1, 3, 7, 21

(d) 27 = 1 × 27
= 3 × 9
= 9 × 3
∴ Factors of 27 = 1, 3, 9, 27