CBSE User Submitted Papers Class 7 Mathematics

CBSE Mathematics model question paper

CBSE User Submitted Papers for class 7 Mathematics and User Submitted Papers & Solutions of 7 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 7
• CBSE annual question papers for class 7 with answers 2018
• CBSE Model questions for class 7 free download
• CBSE Question Paper for Class 7 – Mathematics – 2018, 2017, 2016
• CBSE test papers class 7 solved
• NCERT test papers for class 7 Mathematics
• CBSE question papers class 7Mathematics
• CBSE practice papers class 7 Mathematics solved pdf
• CBSE test papers for class 7 Mathematics
• model question paper class 7
• Free test papers for class 7

User Submitted Papers of class 7 Mathematics

CBSE class 7 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 7^th Mathematics question paper.

Chapter-wise Marks distribution for class 7 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-VII
Mathematics

Number System (50 hrs.)
(i) Knowing our Numbers: Integers

• Multiplication and division of integers (through patterns). Division by zero is meaningless
• Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form. Construction of counterexamples, including some by children. Counter examples like
• Subtraction is not commutative.
• Word problems including integers (all operations)

(ii) Fractions and rational numbers:

• Multiplication of fractions
• Fraction as an operator
• Reciprocal of a fraction
• Division of fractions
• Word problems involving mixed fractions
• Introduction to rational numbers (with representation on number line)
• Operations on rational numbers (all operations)
• Representation of rational number as a decimal.
• Word problems on rational numbers (all operations)
• Multiplication and division of decimal fractions
• Conversion of units (length & mass)
• Word problems (including all operations)

(iii) Powers:

• Exponents only natural numbers.
• Laws of exponents (through observing patterns to arrive at generalization.)

(i) a^m.aⁿ=a^m+n
(ii) (a^m)ⁿ=a^mn
(iii) a^m/aⁿ=a^m−n, where m−n∈N
(iv) a^m.b^m=(ab)^m2

Algebra (20 hrs.)
ALGEBRAIC EXPRESSIONS

• Generate algebraic expressions (simple) involving one or two variables
• Identifying constants, coefficient, powers
• Like and unlike terms, degree of expressions e.g., x2y etc. (exponent≤3, number of variables)
• Addition, subtraction of algebraic expressions (coefficients should be integers).
• Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients)

Ratio and Proportion (20 hrs.)

• Ratio and proportion (revision)
• Unitary method continued, consolidation, general expression.
• Percentage- an introduction.
• Understanding percentage as a fraction with denominator 100
• Converting fractions and decimals into percentage and vice-versa.
• Application to profit and loss (single transaction only)
• Application to simple interest (time period in complete years).

Geometry (60 hrs.)
(i) Understanding shapes:

• Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite) (verification and simple proof of vertically opposite angles)
• Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

(ii) Properties of triangles:

• Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel lines, difference between proof and verification.)
• Exterior angle property
• Sum of two sides of a its third side
• Pythagoras Theorem (Verification only)

(iii) Symmetry

• Recalling reflection symmetry
• Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)
• Operation of rotation through 900 and 1800 of simple figures.
• Examples of figures with both rotation and reflection symmetry (both operations)
• Examples of figures that have reflection and rotation symmetry and vice-versa

(iv) Representing 3-D in 2-D:

• Drawing 3-D figures in 2-D showing hidden faces.
• Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones). • Matching pictures with objects (Identifying names)
• Mapping the space around approximately through visual estimation.

(v) Congruence

• Congruence through superposition (examples-blades, stamps, etc.)
• Extend congruence to simple geometrical shapes e.g. triangles, circles.
• Criteria of congruence (by verification) SSS, SAS, ASA, RHS

(vi) Construction (Using scale, protractor, compass)

• Construction of a line parallel to a given line from a point outside it. (Simple proof as remark with the reasoning of alternate angles)
• Construction of simple triangles. Like given three sides, given a side and two angles on it, given two sides and the angle between them.

Mensuration (15 hrs.)

• Revision of perimeter, Circumference of Circle

Area
Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

Data handling (15 hrs.)
i. Collection and organization of data – choosing the data to collect for a hypothesis testing.
ii. Mean, median and mode of ungrouped data – understanding what they represent.
iii. Constructing barographs
iv. Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of
v. throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness.

Class 7 Mathematics Questions Papers and syllabus

CBSE class 7 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 7th Mathematics.

Time allowed: 2 hours
Maximum Marks: 45 marks

General Instructions:

• All Questions are compulsory.
• Questions 1 to 5 carry 1 marks each.
• Questions 6 to 10 carry 2 marks each.
• Questions 11 to 16 carry 3 marks each.
• Questions 17 to 19 carry 4 marks each.

Class 7 Mathematics List of Chapters NCERT Book

• Integers
• Fractions And Decimals
• Data Handling
• Simple Equations
• Lines And Angles
• The Triangle And Its Properties
• Congruence Of Triangles
• Comparing Quantities
• Rational Numbers
• Practical Geometry
• Perimeter And Areas
• Algebraic Expressions
• Exponents And Powers
• Symmetry
• Visualising Solid Shapes

To download User Submitted Paper for class 7 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.