NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3

We have given detailed NCERT Solutions for Class 6 Sanskrit Ruchira Chapter 3 शब्द परिचयः 3 Textbook Questions and Answers come in handy for quickly completing your homework.

NCERT Solutions for Class 6 Sanskrit Ruchira Chapter 3 शब्द परिचयः 3

Class 6th Sanskrit Chapter 3 शब्द परिचयः 3 Textbook Questions and Answers

अभ्यासः

प्रश्न 1.
(क) उच्चारणं कुरुत- (उच्चारण कीजिए- Read it out.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.1

(ख) चित्राणि दृष्ट्वा पदानि उच्चारयत- (चित्रों को देखकर शब्दों का उच्चारण कीजिए Look at the pictures and pronounce these words.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.2
उत्तर:
(क) छात्र स्वयं उच्चारण करें। ये सभी शब्द नपुंसकलिङ्ग हैं।
(ख) छात्र चित्रों को देखकर पदों का उच्चारण करें। उच्चारण करते समय चित्र की ओर ध्यान दें ताकि पद का अर्थ याद रहे। उच्चारण शुद्ध हो। प्रत्येक पद का उच्चारण यदि दो बार
करें, तो लाभ होगा। सभी नपुंसकलिङ्ग पद हैं।

प्रश्न 2.
(क) वर्णसंयोजनं कृत्वा पदं कोष्ठके लिखत- (वर्णों को जोड़कर शब्द कोष्ठक में लिखिए Combine the letters and write down the word in the box.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.3

(ख) अधोलिखितानां पदानां वर्णविच्छेदं कुरुत- (निम्नलिखित पदों का वर्ण-विच्छेद कीजिए Separate the letters in the words given below.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.4
उत्तर:
(क) खनित्रम्, पुराणानि, पोषकाणि, कङ्कतम्।
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.5

प्रश्न 3.
चित्राणि दृष्ट्वा संस्कृतपदानि लिखत- (चित्र देखकर संस्कृत शब्द लिखिए- Look at the pictures and write the -words in Sanskrit.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.6
उत्तर:
(क) आम्रम्
(ख) पर्णम्
(ग) व्यजनम्
(घ) करवस्त्रम्
(ङ) सूत्रम्
(च) छत्रम्

प्रश्न 4.
चित्रं दृष्ट्वा उत्तरं लिखत- (चित्र देखकर उत्तर लिखिए- Look at the pictures and write the answer.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.7
उत्तर:
(क) मयूरौ नृत्यतः।
(ख) एते क्रीडनके स्तः।
(ग) बालिकाः पठन्ति।
(घ) पुष्पाणि विकसन्ति।

प्रश्न 5.
निर्देशानुसारं वाक्यानि रचयत- (निर्देशानुसार वाक्य बनाएँ- Transform the sentences as directed.)

यथा- एतत् पतति। (बहुवचने) — ………………… एतानि पतन्ति।
(क) एते पणे स्तः। (बहुवचने) — …………………
(ख) मयूरः नृत्यति। (बहुवचने) — …………………
(ग) एतानि यानानि। (द्विवचने) — …………………
(घ) छात्रे लिखतः। (बहुवचने) — …………………
(ङ) नारिकेलं पतति। (द्विवचने) — …………………
उत्तर:
(क) एतानि पर्णानि सन्ति।
(ख) मयूराः नृत्यन्ति।
(ग) एते याने।
(घ) छात्राः लिखन्ति।
(ङ) नारिकेले पततः।

प्रश्न 6.
उचितपदानि संयोज्य वाक्यानि रचयत- (उचित पदों का मेल करके वाक्य बनाइए- Match the appropriate words and frame sentences.)

कोकिले — विकसति
पवनः — नृत्यन्ति
पुष्पम् — उत्पतति
‘खगः — वहति
मयूराः — गर्जन्ति
सिंहाः — कूजतः
उत्तर:
(क) कोकिले कूजतः।
(ख) पवनः वहति।
(ग) पुष्पम् विकसति।
(घ) खगः उत्पतति।
(ङ) मयूराः नृत्यन्ति।
(च) सिंहाः गर्जन्ति।

Class 6th Sanskrit Chapter 3 शब्द परिचयः 3 Additional Important Questions and Answers

प्रश्न 1.
चित्रं दृष्ट्वा संस्कृतपदं लिखत। (प्रत्येक चित्र देखकर संस्कृत पद लिखिए। Look at each picture and write down the word in Sanskrit.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.8
उत्तर:
(क) उपनेत्रम् – कमलम् – सङ्गणकम्
(ख) पर्णम् – क्रीडनकम् – नारिकेलम्

प्रश्न 2.
वर्णसंयोजनम् कुरुत। (वर्णसंयोग कीजिए- Join the alphabets.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.9
उत्तर:
(i) सङ्गणकम्
(ii) सूत्रम्
(iii) उद्यानम्
(iv) क्रीडनकम्

(ख) वर्णविच्छेदं कुरुत। (वर्ण-विच्छेद कीजिए- Separate the alphabets.)

पर्णम् = ………………….
वातायनम् = ………………….
कङ्कतम् = ………………….
कदलीफलम् = ………………….
उत्तरम्-
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.10

प्रश्न 3.
अधोदत्ताम् तालिकां पूरयत। (निम्नलिखित तालिका को पूरा कीजिए- Complete the table given below.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.11
उत्तर:
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.12
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.13
उत्तर:
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.14

प्रश्न 4.
संस्कृतेन लिखत- (संस्कृत में लिखिए– Write down the word in Sanskrit.)

यथा — खेत – क्षेत्रम्
(क) छाता …………….
(ख) नारियल …………….
(ग) छुरी …………….
(घ) कुञ्जी …………….
(ङ) कंघा …………….
उत्तर:
(क) छत्रम्
(ख) नारिकेलम्
(ग) छुरिका
(घ) कुञ्चिका
(ङ) कङ्कतम्/ककतम्

प्रश्न 5.
प्रत्येकं स्तम्भात् उचितं पदम् आदाय वाक्यानि रचयत। (प्रत्येक स्तम्भ से उचित पद लेकर वाक्य बनाइए- Frame sentences by picking out the appropriate word from each column.)

NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.15
उत्तर:
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.16

प्रश्न 6.
अधोदत्तायां तालिकायाम् रिक्तस्थानानि पूरयत। (तालिका में रिक्त स्थान भरिए- Fill in the blanks in the table given below.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.17
उत्तर:
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.18

बहुविकल्पीयप्रश्नाः

प्रश्न 1.
उचित विकल्पं चित्वा वाक्यपूर्तिं कुरुत। (उचित विकल्प चुनकर वाक्य पूरे कीजिए। Complete the sentences by picking out the correct option.)

(क)
(i) ……….. आम्राणि मधुराणि। (एतत्, एते, एतानि)
(ii) ………. उद्यानम् सुंदरम्। (सः, सा, तत्)
(ii) ………. बसयाने कुत्र गच्छतः। (ते, सा, तानि)
(iv) ………. कोकिला कूजति। (एषः, एषा, एतत्)
(v) ………. जनाः गच्छन्ति। (सः, तौ, ते)
उत्तर:
(i) एतानि
(ii) तत्
(iii) ते
(iv) एषा
(v) ते

(ख)
(i) अत्र ………. अस्ति। (विश्रामगृह, विश्रामगृहम्, विश्रामगृहः)
(ii) …………. विकसति। (कमलम्, कमल, कमलः)
(iii) ………. मधुराणि सन्ति। (कदलीफलम्, कदलीफले, कदलीफलानि)
(iv) ………. कुत्र स्त? (पुस्तकम्, पुस्तके, पुस्तकानि)
(v) ………. चलति। (व्यञ्जनम्, व्यजनः, व्यजनम्)
उत्तर:
(i) विश्रामगृहम्
(ii) कमलम्
(iii) कदलीफलानि
(iv) पुस्तके
(v) व्यजनम्

प्रश्न 2.
उचितं विकल्पं चित्वा चित्रस्य समक्षं लिखत। (उचित विकल्प चुनकर चित्र के सामने लिखिए।Pick out the correct option and write down in front of the picture.)
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.19
NCERT Solutions for Class 6 Sanskrit Chapter 3 शब्द परिचयः 3.20
उत्तर:
(क) करवस्त्रम्
(ख) सोपानम्
(ग) वातायनम्
(घ) आम्रम्
(ङ) व्यजनम्

प्रश्न 3.
उचित-विकल्पेन रिक्तस्थानानि पूरयत। (उचित विकल्प द्वारा रिक्त स्थान भरिए। Fill in the blanks with the correct option.)

(क)
(i) पुष्पाणि …………….. (विकसति, विकसतः, विकसन्ति)
(ii) बालिके कुत्र …………….. ? (गच्छति, गच्छतः, गच्छन्ति)
(iii) ………………. पतन्ति । (पर्णाः, पर्णम्, पर्णानि)
(iv) ……………….. कुत्र अस्ति? (उद्यान, उद्यानम्, उद्यानानि)
(v) …………….. अत्र अस्ति। (वातायन, वातायनः, वातायनम्)
उत्तर:
(i) विकसन्ति
(ii) गच्छतः
(iii) पर्णानि
(iv) उद्यानम्
(v) वातायनम्।

(ख)
(i) पर्णम् ………….। (पतति, उत्पतति)
(ii) सुवर्णकारः अंगुलीयकम् ………….। (चालयति, रचयति)
(iii) सौचिकः ………….। (सीव्यति, सूचयति)
(iv) अजाः ………….। (चरन्ति, कूजन्ति)
(v) जवनिका …………… (चलति, दोलति)
उत्तर:
(i) पतति
(ii) रचयति
(iii) सीव्यति
(iv) चरन्ति
(v) दोलति।

Practical Geometry Class 6 Notes Maths Chapter 14

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CBSE Class 6 Maths Chapter 14 Notes Practical Geometry

Practical Geometry Class 6 Notes Conceptual Facts

1. The shortest distance between two point is called line segment.

2. Length of the line segment can be measured with the help of ruler and divider.

3. Circle can be drawn with the help of compass.

4. Divider is used to compare the lengths of two line segments.

5. To measure angles, we use protractor.

6. To draw perpendiculars and parallel lines, we use set squares.

Symmetry Class 6 Notes Maths Chapter 13

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CBSE Class 6 Maths Chapter 13 Notes Symmetry

Symmetry Class 6 Notes Conceptual Facts

1. The objects or shapes with evenly balanced proportions are called symmetrical objects or shapes.

2. When a figure can be folded into two halves and both the halves overlap each other, the figure is said to be symmetrical.

3. The line along which the figure is folded is called lines of symmetry.

4. Line of symmetry can be horizontal, vertical or slant.

Ratio and Proportion Class 6 Notes Maths Chapter 12

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CBSE Class 6 Maths Chapter 12 Notes Ratio and Proportion

Ratio and Proportion Class 6 Notes Conceptual Facts

1. The comparison of two quantities by division is called ratio.
For example,\(\frac{2}{3}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}\)etc.

2. We represent the ratio by a symbol V
For example: \(\frac{2}{3}\) = 2:3 or \(\frac{3}{2}\) = 3:2

3. Two quantities can only be compared when they are in the same unit.
For example, 4 cm : 5 cm or \(\frac{3}{2}\) m \(\frac{4}{5}\)m

4. We can get equivalent ratios by multiplying or dividing the numerator and the denominator by the same number. For example, \(\frac{2}{3}=\frac{2 \times 2}{3 \times 2}=\frac{4}{6}=\frac{4 \times 3}{6 \times 3}=\frac{12}{18} \cdot \mathrm{So}, \frac{2}{3}, \frac{4}{6} \text { and } \frac{12}{18}\) are all equivalent ratios.

5. If two ratios are equal, we say that they are in proportions and use the symbol :: or *=’.
For example, 2 : 3 :: 4 : 6 or 2 : 3 = 4 : 6

6. If two ratios are not equal then we say that they are not in proportion.
For example, \(\frac{2}{3} \text { and } \frac{4}{5}\) are not equal ratios. So they are not in proportions.

7. In proportion four quantities are involved. The first and fourth terms are known as extreme and second and third terms are known as middle terms.
For example, 2 : 3 :: 8 : 12 where 2 and 12 are extreme and 3 and 8 are middle terms.

8. Product of extreme terms = product of middle terms.

9. We can use a method in which first we find the value of one unit and then the value of the required number of units. This method is called the unitary method.

Data Handling Class 6 Notes Maths Chapter 9

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CBSE Class 6 Maths Chapter 9 Notes Data Handling

Data Handling Class 6 Notes Conceptual Facts

1. Data: A data is a collections of numbers gathered to give some information.

2. Primary data: When the data are collected directly from the source.

3. Secondary data: When the data are collected from secondary source, e.g., newspapers, magazines, televisions, internet, etc.

4. Tally marks are used to organise the data in a group of five such as
Data Handling Class 6 Notes Maths Chapter 9.

5. Pictograph represents data through pictures of the objects.

6. Bar graphs are another way of representing the data visually bars of uniform width can be horizontal and vertical with equal spacing.

7. We have to choose the scale for drawing the Bar graphs and pictograph conveniently.

Decimals Class 6 Notes Maths Chapter 8

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CBSE Class 6 Maths Chapter 8 Notes Decimals

Decimals Class 6 Notes Conceptual Facts

1. Fractions with denominators 10, 100 and 1000, etc., can be represented as decimal fractions.
For example:\( \frac{7}{10}, \frac{21}{100} \text { and } \frac{223}{1000}\)etc., are all decimal fractions.

2. If a whole number is divided into 10 equal parts, then each part is called one-tenth of a unit and written
as \(\frac{1}{10}\) and 0.1 in decimal notations.

3. If a whole number is divided into 100 equal parts, then each part is called one-hundredth of a unit and written as \(\frac{1}{100}\) and 0.01 in decimal notation.

4. In standard form, the decimal is always put between the unit place and tenths-place.

5. In the place value chart, as we go from left to the right, the multiplying factor becomes factor \(\frac{1}{10}\) of the previous factor.

6. All decimals can also be represented on number line.

7. Decimals are used in many way in our lives. For example, in representing units of money, length and weight.

8. Decimal numbers having the same number of decimal places are called ‘Like decimals’.
For example: 0.23, 1.26, 3.65 are all like decimals.

9. Decimal numbers having different number of decimal places are called ‘unlike decimals’.
For example: 2.34, 5.650, 4.2350 are all unlike decimals.

Fractions Class 6 Notes Maths Chapter 7

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CBSE Class 6 Maths Chapter 7 Notes Fractions

Fractions Class 6 Notes Conceptual Facts

1. A fraction is a part of a whole number having numerator and denominator.
For example: \(\frac{5}{7}\) where 5 is numerator and 7 is the denominator.

2. Representation of a fraction on a number line.
For example: \(\frac{2}{3}\)
Fractions Class 6 Notes Maths Chapter 7

3. Proper fractions: Numerator is less than the denominator.
For example: \(\frac{2}{3}, \frac{5}{8} \text { and } \frac{1}{5}\)

4. Improper fractions: Numerator is bigger than the denominator.
For example: \(\frac{5}{2}, \frac{7}{5}, \frac{10}{3} \text { and } \frac{6}{5}\)

5. Mixed fractions: It is represented by Quotient \(\frac{\text { Remainder }}{\text { Divisor }}\)
For example: \(5 \frac{1}{7}, 3 \frac{2}{3} \text { and } 4 \frac{5}{7}\)

6. Equivalent fractions: Two or more fractions are said to be equivalent fractions, if they represent the same quantity.
For example: \(\frac{2}{5}, \frac{6}{15}, \frac{4}{10} \text { and } \frac{8}{20}\)

7. Simplest form of a fraction: A fraction is said to be simple if numerator and the denominator have no common factor except 1.
For example: Simplest form of \(\frac{15}{20} \text { is } \frac{3}{4}\)

8. Like fractions: Two or more fractions having same denominators are called like fractions.
For example: \(\frac{2}{5}, \frac{3}{5}, \frac{4}{5}, \frac{6}{5}\)

9. Unlike fractions: Two or more fractions having different denominators are called unlike fractions.
For example: \(\frac{8}{9}, \frac{5}{7}, \frac{6}{5}, \frac{7}{10}\)

Integers Class 6 Notes Maths Chapter 6

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CBSE Class 6 Maths Chapter 6 Notes Integers

Integers Class 6 Notes Conceptual Facts

1. On a number line, the numbers left to 0 are called negative numbers.

Integers Class 6 Notes Maths Chapter 6 .1

2. Natural numbers are 1, 2, 3, 4, ……….

3. Whole numbers are 0, 1, 2, 3, 4, ……….

4. Negative numbers are , – 4, – 3, – 2, – 1.

5. Integers are , – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4,………..

6. 0 is simply called an integer. It has no sign.

Integers Class 6 Notes Maths Chapter 6 .2

7. Positive and negative integers are used in daily life for profit and loss, rise and fall, above and below, etc.

8. Negative of a negative integer = positive integer, i.e., – (- x) – x

9. Every positive number is larger than every negative number.

10. Farther a number from zero on the right, larger is its value.

11. Farther a number from zero on the left, smaller is its value.

12. Absolute value is a numerical value of a number which is represented by ||.

13. The absolute value of+ 5= | + 5| = 5

  • Absolute value of — 5 = | — 5 | =5
  • Absolute value of 0 is 0 i.e., | 0 | =0

Understanding Elementary Shapes Class 6 Notes Maths Chapter 5

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CBSE Class 6 Maths Chapter 5 Notes Understanding Elementary Shapes

Understanding Elementary Shapes Class 6 Notes Conceptual Facts

1. The distance between the end points of a line segment is called its length.

2. The length of a line segment is measured by graduated ruler.

3. The length of two line segments is compared by the divider.

4. An angle is formed by two arms (rays) with the same initial point.

5. An angle is measured in ‘degrees’.

6. An angle is measured by ‘protractor’.

7. Measure of one complete angle is 360°.

8. Measure of straight angle is 180°.

9. Measure of right angle is 90°.

10. An angle-less than 90° is called acute angle.

11. An angle more than 90° but less than 180° is called obtuse angle.

12. An angle greater than straight angle is called ‘reflex’ angle.

13. Two lines are said to be perpendicular to each other if the angle between them is 90°.

14. Two lines are parallel if they do not intersect each other even on producing to any extent.

15. Types of triangle on the basis of sides:

  • Scalene: all the three sides are unequal in length.
  • Isosceles: any two sides are equal in length.
  • Equilateral: all the three sides are equal in length.

16. Types of triangle on the basis of angles:

  • Acute triangle: each angles is less than 90° (acute)
  • Right angled triangle: one of the three angles is (90°)
  • Obtuse angled triangle : one of the three angle is more than 90°.

17. Polygon is a closed figure bounded by a certain number of line segments:

  • Triangle: bounded by 3 sides.
  • Quadrilateral: bounded by 4 sides.
  • Pentagon: bounded by 5 sides.
  • Hexagon: bounded by 6 sides.
  • Heptagon: bounded by 7 sides.
  • Octagon: bounded by 8 sides.

18. Types of quadrilateral:

  • Parallelogram: Pair of opposite sides are equal and parallel.
  • Square: each angle is 90° and all sides are equal.
  • Rectangle: each angle is 90° and opposite sides are equal.
  • Rhombus: a parallelogram with all equal sides.
  • Trapezium: a pair of opposite sides are parallel.
  • 3-D shapes: faces, edges and vertices are the elements of 3-D figures.

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.