Basic Geometrical Ideas Class 6 Notes Maths Chapter 4

On this page, you will find Basic Geometrical Ideas Class 6 Notes Maths Chapter 4 Pdf free download. CBSE NCERT Class 6 Maths Notes Chapter 4 Basic Geometrical Ideas will seemingly help them to revise the important concepts in less time.

CBSE Class 6 Maths Chapter 4 Notes Basic Geometrical Ideas

Basic Geometrical Ideas Class 6 Notes Conceptual Facts

1. Basic Geometrical Elements are points, lines and planes.

2. Point determines a location. It does not have length, breadth and thickness. It is usually denoted by a capital letter.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.1

3. Line segment is the shortest distance between two points. Line segment joining points A and B is denoted by AB. AB and BA denote the same line segment.
\(\overline{\mathrm{AB}} \cdot \overline{\mathrm{AB}} \text { and } \overline{\mathrm{BA}}\)
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.2

4. When a line segment is extended on both sides infinitely we get a line and it is denoted by \(\overline{\mathrm{AB}}\).
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.3

5. A ray is a portion of line starting at a point and extending in one direction endlessly. It is denoted by\(\overline{\mathrm{AB}}\).
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.4

6. Two distinct lines which meet at a point are called intersecting lines.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.5

7. Two distinct lines which do not meet at any point, are called parallel lines and denoted by
|| i.e., \(\overline{\mathrm{AB}} \| \overline{\mathrm{CD}}\)

Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.6

8. Any drawing (straight or non-straight) drawn without lifting the pencil is called a curve.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.7

9. Simple curve does not intersects itself.

10. If the end points of a simple curve are joined, then it is called as closed curve.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.8

11. If the end points of a curve are not joined, then it is called as open curve.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.9

12. Polygon is a simple closed curve made up of line segments.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.10

13. An angle is made up of two rays starting from a common end point. It is read as ∠BOA or ∠AOB.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.11

14. Angle has three regions: On the angle, the interior of the angle and the exterior of the angle.

15. Triangle is a polygon of three sides denoted by ΔABC.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.12

16. Quadrilateral is polygon of four sides.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.13

17. Circle is a path of a point moving at the same distance from a fixed point known as centre and the distance between the fixed point and the moving point is called radius.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.14

18. Chord of a circle is a line segment obtained by joining any two points on the circle. It divides the circle into two segments, minor segment and major segment.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.15

19. Diameter is the longest chord of a circle which passes through the centre and divides the circle into two semi-circles.
Basic Geometrical Ideas Class 6 Notes Maths Chapter 4.16

Playing with Numbers Class 6 Notes Maths Chapter 3

On this page, you will find Playing with Numbers Class 6 Notes Maths Chapter 3 Pdf free download. CBSE NCERT Class 6 Maths Notes Chapter 3 Playing with Numbers will seemingly help them to revise the important concepts in less time.

CBSE Class 6 Maths Chapter 3 Notes Playing with Numbers

Playing with Numbers Class 6 Notes Conceptual Facts

1. A number which divides a given number exactly is called a factor of the given number.

2. Every number is a factor of itself and 1 is a factor of every number.

3. Every number is a multiple of its factors.

4. Every factor is less than or equal to its multiple.

5. Every multiple of a given number is greater than or equal to that number.

6. A natural number which is not divisible by any number except 1 or itself is called prime number.

7. 2 is the only natural number which is even as well as prime. All the prime numbers except 2 are odd.

8. 2 is the smallest prime number.

9. Numbers which are not prime are called composite numbers.

10. 1 is neither prime nor composite number.

11. Two numbers are called co-prime if they have only 1 as common factor.

12. Pairs of prime numbers differ by 2 are called twin primes.

13. The factors of a given number are Finite but it may have infinite number of multiples.

14. Rule for divisibility:

  • A number is divisible by 2 if it has 0 or even digits at its units place.
  • A number is divisible by 3 if the sum of its digits is also divisible by 3.
  • A number with 3 or more digits is divisible by 4 if the number found by last two digits of the number is divisible by 4.
  • A number is divisible by 5, if it has only 0 or 5 in its units place.
  • A number is divisible by 6, if it is divisible by 2 and 3 both.
  • A number with 4 or more digits is divisible by 8 if the number formed by its last 3 digits are divisible by 8.
  • A number is divisible by 9 if the sum of all the digits of the number is divisible by 9.
  • A number is divisible by 11 if the difference between the sum of the digits at odd places taken from the right, and the sum of all the digits at even places is either 0 or divisible by 11.

15. The HCF of two or more given numbers is called the highest common factor.

16. The LCM of two or more given numbers is called lowest common multiple.

17. HCF of co-prime numbers is 1.

18. LCM of co-prime numbers is equal to their product.

19. Product of any two numbers is equal to the product of their HCF and LCM.

20. To simplify expressions involving brackets, the four fundamental operations (-, +, x, ÷) and ‘of operations, we always use the BODMAS Rule.

21. To simplify numerical expressions, we remove parenthesis ( ), curly brackets { } and square brackets [ ], strictly in this order.

Whole Numbers Class 6 Notes Maths Chapter 2

On this page, you will find Whole Numbers Class 6 Notes Maths Chapter 2 Pdf free download. CBSE NCERT Class 6 Maths Notes Chapter 2 Whole Numbers will seemingly help them to revise the important concepts in less time.

CBSE Class 6 Maths Chapter 2 Notes Whole Numbers

Whole Numbers Class 6 Notes Conceptual Facts

1. The numbers 1, 2, 3, 4, 5, … which are used for counting are known as natural numbers. They are represented by N.

2. All natural numbers together with zero are called whole numbers. They are represented by W.
So, W = 0, 1, 2, 3, 4, …

3. Every natural number is a whole number but reverse not true.

4. 0 is the smallest whole number whereas 1 is the smallest natural number.

5. We have no largest natural number or whole number.

6. The successor of a whole number is 1 more than the whole number.

7. The predecessor of a whole number is 1 less than the whole number but 0 has no predecessor.

8. All the natural numbers and whole numbers can be represented on number line.

9. On number line, positive numbers are taken on right side of the zero and negative numbers on left side.

Whole Numbers Class 6 Notes Maths Chapter 2

Properties of whole numbers

If a, b, e are any whole numbers, then

  • Closure property for addition: a + b is a whole number.
  • Closure property for multiplication: a x b is a whole number.
  • Commutative property for addition: a + b = b + a.
  • Commutative property for multiplication: a x b = b x a
  • Associative property for addition: a + (b + c) = (a + b) + c
  • Associative property for multiplication: a x (b x c) = (a x b) x c
  • Distributive property: a x (b + c) = a x b + a x c
  • Identity for addition: a+0 = 0+a=a
  • Identity for multiplication: a x 1 = 1 x a=a
  • 0 ÷ a = 0 but a ÷ 0 is not defined.

Knowing Our Numbers Class 6 Notes Maths Chapter 1

On this page, you will find Knowing Our Numbers Class 6 Notes Maths Chapter 1 Pdf free download. CBSE NCERT Class 6 Maths Notes Chapter 1 Knowing Our Numbers will seemingly help them to revise the important concepts in less time.

CBSE Class 6 Maths Chapter 1 Notes Knowing Our Numbers

Knowing Our Numbers Class 6 Notes Conceptual Facts

1. To represent any number, we use ten symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 which are called digits or figure.

2. Numbers help us to compare collection of two or more similar objects and we can decide which collections is bigger or smaller.

3. Comparison of numbers helps us to arrange the objects in increasing or decreasing order.

4. If we shift the digits of a given number, then the new number is different from the original one. 853 is different from 358 but 202 remains same even after changing the unit place and hundredth place of the number. Why?

5. If we add one more to the greatest 5-digit number, we get the smallest 6-digit number
99999 (5-digit) + 1 = 100000 (6-digit).

6. Generally, numbers are written in two types of charts:

  • Hindu Arabic Place – Value Chart
  • International Place – Value Chart.

7. Estimation gives us a rough idea of the answer to a question involving operations on number.

8. In Roman numeration system, only symbols are used to express a number instead of digits.
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M =1000

9. Zero on the extreme left of a number has no value.

10. Ascending order means arrangement from the smallest to the greatest.

11. Descending order means arrangement from the greatest to the smallest.

NCERT Class 6 Maths Notes

NCERT Class 6 Maths Notes Pdf free download provided gives you an overview of the respective chapter and prepared in a manner that every concept is covered as per the syllabus guidelines. NCERT Notes for Class 6 Maths Standard are very effective for students to have last minute quick revision. Download the required study material from the resources available here and score higher grades in your exams.

CBSE Class 6 Maths Notes

  1. Knowing Our Numbers Class 6 Notes
  2. Whole Numbers Class 6 Notes
  3. Playing with Numbers Class 6 Notes
  4. Basic Geometrical Ideas Class 6 Notes
  5. Understanding Elementary Shapes Class 6 Notes
  6. Integers Class 6 Notes
  7. Fractions Class 6 Notes
  8. Decimals Class 6 Notes
  9. Data Handling Class 6 Notes
  10. Mensuration Class 6 Notes
  11. Algebra Class 6 Notes
  12. Ratio and Proportion Class 6 Notes
  13. Symmetry Class 6 Notes
  14. Practical Geometry Class 6 Notes

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