CBSE Class VI Mathematics

Download Class 6 Mathematics NCERT Solutions, Latest Solved Sample Papers, past year Question Papers with solutions, Exemplar Solutions, formula sheets, important questions and answers printable worksheets and other useful study material prepared based on latest guidelines, examination pattern and blueprint issued by CBSE and NCERT

Click below for Class 6 Mathematics NCERT Solutions, RD Sharma and RS Aggarwal Solutions, worksheets, assignments, latest syllabus, NCERT CBSE books, HOTs, Multiple Choice Questions (mcqs), easy to learn concepts and study notes of all chapters, online tests, value based questions (vbqs), sample papers and last year solved question papers

class_6_maths_ncert_solutions_sample_papers

Class 6 mathematics syllabus, examination structure and important topics. The syllabus for class 6 is mainly driven by the topics given in the mathematics books issued by NCERT books, most of the schools are also recommending books of other publishers which have additional worksheets, which the students can practice to score better in class tests and school level examinations. Details of important topics is given below:

Number System (60 hrs)

(i). Knowing our Numbers:

Consolidating the sense of number ness up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, >, < <,>and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass (from the larger to the smaller units), estimation of outcome of number operations. Introduction to a sense of the largeness of, and initial familiarity with, large numbers up to 8 digits and approximation of large numbers)

(ii). Playing with Numbers:

Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, and 11. (All these through observing patterns. Children would be helped in deducing some and then asked to derive some that are a combination of the basic patterns of divisibility.) Even/odd and prime/composite numbers, Co-prime numbers, prime factorization, every number can be written as products of prime factors. HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM × HCF = product of two numbers. All this is to be embedded in contexts that bring out the significance and provide motivation to the child for learning these ideas.

(iii). Whole numbers

Natural numbers, whole numbers, properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity), number line. Seeing patterns, identifying and formulating rules to be done by children. (As familiarity with algebra grows, the child can express the generic pattern.)

(iv).Negative Numbers and Integers

How negative numbers arise, models of negative numbers, connection to daily life, ordering of negative numbers, and representation of negative numbers on number line. Children to see patterns identify and formulate rules. What are integers, identification of integers on the number line, operation of addition and subtraction of integers, showing the operations on the number line (addition of negative integer reduces the value of the number) comparison of integers, ordering of integers.

(v). Fractions: Revision of what a fraction is, Fraction as a part of whole, Representation of fractions (pictorially and on number line), fraction as a division, proper, improper & mixed fractions, equivalent fractions, comparison of fractions, addition and subtraction of fractions (Avoid large and complicated unnecessary tasks). (Moving towards abstraction in fractions) Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage), word Problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature)

Algebra (15 hrs.)

Introduction To Algebra

  1. Introduction to variable through patterns and through appropriate word problems and generalizations (example 5 × 1 = 5 etc.)
  2. Generate such patterns with more examples.
  3. Introduction to unknowns through examples with simple contexts (single operations)

Ratio and Proportion (15 hrs.)

  1. Concept of Ratio
  2. Proportion as equality of two ratios
  3. Unitary method (with only direct variation implied)
  4. Word problems

Geometry (65 hrs.)

(i).Basic geometrical ideas (2 -D):

Introduction to geometry. Its linkage with and reflection in everyday experience.

Line, line segment, ray.

Open and closed figures.

Interior and exterior of closed figures.

Curvilinear and linear boundaries

Angle — Vertex, arm, interior and exterior,

Triangle — vertices, sides, angles, interior and exterior, altitude and median

Quadrilateral — Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral are to be discussed), interior and exterior of a quadrilateral.

Circle — Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior.

(i). Understanding Elementary

Shapes (2-D and 3-D):

  1. Measure of Line segment
  2. Measure of angles
  3. Pair of lines – Intersecting and perpendicular lines – Parallel lines
  4. Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle
  5. Classification of triangles (on the basis of sides, and of angles)
  6. Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.
  7. Simple polygons (introduction) (Up to octagons regulars as well as non-regular).
  8. Identification of 3-D shapes: Cubes, Cuboids, cylinder, sphere, cone, prism (triangular), pyramid (triangular and square) Identification and locating in the surroundings
  9. Elements of 3-D figures. (Faces, Edges and vertices)
  10. Nets for cube, cuboids, cylinders, cones and tetrahedrons.

(iii).Symmetry: (reflection)

  1. Observation and identification of 2-D symmetrical objects for reflection symmetry
  2. Operation of reflection (taking mirror images) of simple 2-D objects
  3. Recognising reflection symmetry (identifying axes)

(iv).Constructions (using Straight edge Scale, protractor, compasses) • Drawing of a line segment

  1. Construction of circle
  2. Perpendicular bisector
  3. Construction of angles (using protractor)
  4. Angle 60°, 120° (Using Compasses)
  5. Angle bisector- making angles of 30°, 45°, 90° etc. (using compasses)
  6. Angle equal to a given angle (using compass)
  7. Drawing a line perpendicular to a given line from a point a) on the line b) outside the line.

Mensuration (15 hrs.)

CONCEPT OF PERIMETER AND INTRODUCTION TO AREA

Introduction and general understanding of perimeter using many shapes. Shapes of different kinds with the same perimeter. Concept of area, Area of a rectangle and a square Counter examples to different misconnects related to perimeter and area.

Perimeter of a rectangle – and its special case – a square. Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalization.

Data handling (10 hrs.)

(i).What is data - choosing data to examine a hypothesis?

(ii). Collection and organization of data - examples of organizing it in tally bars and a table.

(iii). Pictograph- Need for scaling in pictographs interpretation & construction. (iv).Making bar graphs for given data interpreting bar graphs+.

Latest CBSE News

  • Central Board of Secondary Education (CBSE) is planning to conduct the board exams for the class 10th and 12th students in the upcoming February. The CBSE board is planning to release the timetable for the exams soon. Now, the mindset of every student is to score the good works in the examination. Not all the hard working students will get the top marks in the examination. The one who studies...
  • The Central Board of Secondary Education (CBSE) board has released a recent notification for the students and parents in which they have declared that the Education Board is already following the regulations based on the RTI rules to charge the money from the candidates in order to get their Photocopies for the answer sheets from the CBSE board. Many media and reporters reported CBSE board has no...
  • Every student's dream is to score the good marks in the final board examination as the future of the student will depend on the result of these exams. The Central Board of Secondary Education conducted Board Examinations are only a few months away from now. This period is high time for every student to start their preparation seriously so that they can score well in their final examinations. CBSE...
  • Recently, CBSE has released a notice stating that board exams will begin in the month of February and continue March 2019. The board exams for vocational subjects will take place first and core subjects exam will be held afterwards. In class 10, there are 15 vocational subjects and in class 12, there are 40 subjects of skill education. This year you will very soon get the complete information...
  • On the one hand, students enjoy a lot while solving the problems on the mathematics subject. On the other hand, some students cry out when they prepare for their exam. Getting a good mark in the mathematics exam is not that difficult but many students didn't recognize it. The biggest problems in mathematics exam which a student normally face during the exam are timing, getting wrong answers in...
  • Many CBSE students who are all preparing for their Class X exams do not prepare well for the English exams because they always try to focus on the mainstream subjects. When they are on the go for scoring more marks for the main subjects, their performance level and the marks got greatly reduced in English. English is a global language, so it is very important to learn that subject as it can help...
  • The date to submit the candidate's list for the CBSE Class 10 Class 12 Exam 2019 has been extended by the central board. Read more to get the detailed information about the latest news about this date extension for the application. Earlier the last date announced to submit the fees and candidates list for the CBSE Class 10 Class 12 Exam was on Nov 2, 2018. The Central Board of Secondary Education...