CBSE User Submitted Papers Class 8 Mathematics

CBSE Mathematics model question paper

CBSE User Submitted Papers for class 8 Mathematics and User Submitted Papers & Solutions of 8 Mathematics are made available by CBSE every year just after the annual exams are over. CBSE marking scheme and blue print is provided along with the User Submitted Papers. This helps students find answer the most frequently asked question, How to prepare for CBSE annual exams. The best way to prepare for annual exams is to understand the questions pattern and practice them as given in User Submitted Papers.

• Solved question papers for class 8
• CBSE annual question papers for class 8 with answers 2018
• CBSE Model questions for class 8 free download
• CBSE Question Paper for Class 8 – Mathematics – 2018, 2017, 2016
• CBSE test papers class 8 solved
• NCERT test papers for class 8 Mathematics
• CBSE question papers class 8 Mathematics
• CBSE practice papers class 8 Mathematics solved pdf
• CBSE test papers for class 8 Mathematics
• model question paper class 8
• Free test papers for class 8

User Submitted Papers of class 8 Mathematics

CBSE class 8 annual Submitted Papers for Mathematics for the year 2018, 2017, 2016, 2015 with solutions in PDF format for free download. The User Submitted Papers last 10 year for all – NCERT books and based on CBSE latest syllabus must be downloaded and practiced by students. These old 5 to 10 year annual User Submitted Papers are the best source to understand question paper pattern and chapter wise weightage in class 8^th Mathematics question paper.

Chapter-wise Marks distribution for class 8 Mathematics annual exam

Senior Secondary stage of school education is a stage of transition from general education to discipline-based focus on curriculum. The present updated syllabus keeps in view the rigour and depth of disciplinary approach as well as the comprehension level of learners. Due care has also been taken that the syllabus is comparable to the international standards. Salient features of the syllabus include:

• Emphasis on basic conceptual understanding of the content.
• Emphasis on use of SI units, symbols, nomenclature of physical quantities and formulations as per international standards.
• Providing logical sequencing of units of the subject matter and proper placement of concepts with their linkage for better learning.
• Reducing the curriculum load by eliminating overlapping of concepts/content within the discipline and other disciplines.
• Promotion of process-skills, problem-solving abilities and applications of Mathematics concepts.

Besides, the syllabus also attempts to

• strengthen the concepts developed at the secondary stage to provide firm foundation for further learning in the subject.
• expose the learners to different processes used in Mathematics-related industrial and technological applications.
• develop process-skills and experimental, observational, manipulative, decision making and investigatory skills in the learners.
• promote problem solving abilities and creative thinking in learners.
• develop conceptual competence in the learners and make them realize and appreciate the interface of Mathematics with other disciplines.

Course Structure for Class-VIII
Number System (50 hrs)

Rational Numbers:

• Properties of rational numbers. (including identities). Using general form of expression to describe properties
• Consolidation of operations on rational numbers.
• Representation of rational numbers on the number line Between any two rational numbers there lies another rational number (Making children see that if we take two rational numbers then unlike for whole numbers, in this case you can keep finding more and more numbers that lie between them.)
• Word problem (higher logic, two operations, including ideas like area)

(ii) Powers

• Integers as exponents.
• Laws of exponents with integral powers

(iii) Squares, Square roots, Cubes, Cube roots.

• Square and Square roots
• Square roots using factor method and division method for numbers containing (a) no more than total 4 digits and (b) no more than 2 decimal places
• Cubes and cubes roots (only factor method for numbers containing at most 3 digits)
• Estimating square roots and cube roots. Learning the process of moving nearer to the required number.

(iv) Playing with numbers

• Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c , where a, b, c can be only digit 0-9) and engaging with various puzzles concerning this. (Like finding the missing numerals represented by alphabets in sums involving any of the four operations.) Children to solve and create problems and puzzles.
• Number puzzles and games
• Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form Algebra (20 hrs) (i) Algebraic Expressions
• Multiplication and division of algebraic exp.(Coefficient should be integers)
• Some common errors (e.g. 2 +x ≠ 2x, 7x + y ≠ 7xy )
• Identities (a ± b) 2 = a2 ± 2ab + b2, a2 – b2 = (a – b) (a + b)
• Factorisation (simple cases only) as examples the following types a(x + y), (x ± y) 2, a2 – b2,
• (x + a).(x + b)
• Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)

Ratio and Proportion (25 hrs)

• Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount, tax.
• Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only), Arriving at the formula for compound interest through patterns and using it for simple problems.
• Direct variation – Simple and direct word problems
• Inverse variation – Simple and direct word problems
• Time & work problems– Simple and direct word problems Geometry (40 hrs)

(i) Understanding shapes:
- Properties of quadrilaterals –Sum of angles of a quadrilateral is equal to 3600 (By verification)
- Properties of parallelogram (By verification)

1. Opposite sides of a parallelogram are equal,
2. (Opposite angles of a parallelogram are equal,
3. Diagonals of a parallelogram bisect each other. [Why (iv), (v) and (vi) follow from (ii)]
4. Diagonals of a rectangle are equal and bisect each other.
5. Diagonals of a rhombus bisect each other at right angles.
6. Diagonals of a square are equal and bisect each other at right angles.

(iii) Representing 3-D in 2-D

• Identify and Match pictures with objects [more complicated e.g. nested, joint 2-D and 3-D shapes (not more than 2)].
• Drawing 2-D representation of 3-D objects (Continued and extended)
• Counting vertices, edges & faces & verifying Euler’s relation for 3-D figures with flat faces (cubes, cuboids, tetrahedrons, prisms and pyramids)

Construction: Construction of Quadrilaterals:

• Given four sides and one diagonal
• Three sides and two diagonals
• Three sides and two included angles
• Two adjacent sides and three angles

Mensuration (15 hrs)

1. Area of a trapezium and a polygon.
2. Concept of volume, measurement of volume using a basic unit, volume of a cube, cuboid and cylinder
3. Volume and capacity (measurement of capacity)
4. Surface area of a cube, cuboid, cylinder.

Data handling (15 hrs)

1. Reading bar-graphs, ungrouped data, arranging it into groups, representation of grouped data through bar-graphs, constructing and interpreting bar-graphs.
2. Simple Pie charts with reasonable data numbers
3. Consolidating and generalizing the notion of chance in events like tossing coins, dice etc. Relating it to chance in life events. Visual representation of frequency outcomes of repeated throws of the same kind of coins or dice. Throwing a large number of identical dice/coins together and aggregating the result of the throws to get large number of individual events. Observing the aggregating numbers over a large number of repeated events. Comparing with the data for a coin. Observing strings of throws, notion of randomness

Introduction to graphs (15 hrs) PRELIMINARIES:

1. Axes (Same units), Cartesian Plane
2. Plotting points for different kind of situations (perimeter vs length for squares, area as a function of side of a square, plotting of multiples of different numbers, simple interest vs number of years etc.)

• Reading off from the graphs
• Reading of linear graphs
• Reading of distance vs time graph

Class 8 Mathematics Questions Papers and syllabus

CBSE class 8 Mathematics have following chapters. Questions are asked from these chapters. CBSE schools are advised to follow NCERT text books. Here is the list of chapters in class 8th Mathematics.

General Instruction:

• This question paper contains 8 questions.
• Write answers neatly and legibly.
• All the questions are compulsory.
• Marks for each question are indicated against it.

Class 8 Mathematics List of Chapters NCERT Book

• Chapter 1 – Rational Numbers
• Chapter 2 - Linear Equations in one Variable
• Chapter 3 – Understanding Quadrilaterals
• Chapter 4 – Practical Geometry
• Chapter 5 – Data Handling
• Chapter 6 - Squares and Square Roots
• Chapter 7 – Cubes and Cube Roots
• Chapter 8 – Comparing Quantities
• Chapter 9 – Algebraic Expressions and Identities
• Chapter 10 – Visualising Solid Shapes
• Chapter 11 - Mensuration
• Chapter 12 -  Exponents and Powers
• Chapter 13 – Direct and Inverse Proportions
• Chapter 14 - Factorization
• Chapter 15 – Introduction to Graphs
• Chapter 16 -  Playing with Numbers

To download User Submitted Paper for class 8 Mathematics, Science, Social Science, English, Hindi; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through the best app for CBSE students and myCBSEguide website.