## CBSE Class 7 Mathematics:

The syllabus of **CBSE Class 7** Mathematics is an upper primary syllabus for developing the mathematical understanding and interest among the growing children.

The topics which are covered in the **CBSE Class 7** are mostly similar to that of class 6. Few of the new topics that are added new in class 7 are Exponents and powers, Congruence of triangle, Triangle and its properties, etc.,

So, let’s check the syllabus of **CBSE Class 7** Mathematics below:

**Numbers:**

Just similar to all the previous classes of CBSE, Numbers is the first and foremost chapter in the syllabus of **CBSE Class 7** Mathematics. Since this is a upper primary syllabus, Number chapter includes various topics such as

- Integers
- Fractions and rational numbers
- Exponents and powers

** ****Integers:**

Integers are the special group of numbers which consists of set of positive and negative

whole numbers and do not contain any fractional or decimal part. The syllabus which are covered

under the topic of “integer” are,

- Multiplication and Division with integers
- Addition and subtraction with integers
- Word problems on integers
- Properties of integers

Properties such as Closure property, Commutative, Associative, Distributive are very important properties in the syllabus.

** Examples:**

- In an exam, positive mark is given for every right answer and negative marks are every wrong answer. If sekar scores 23, 4, -7,-4, 10 in five successive rounds, what is his total at the end?

Answer: 26

- When two positive integers are added, we get result in _______

Answer: Positive

**Fractions and Rational numbers:**

Fractions can be explained as “number of parts in a whole”. This is represented with a slash. The number above the slash is called as a numerator and the number which is below the slash is called as denominator. Any number which can be represented in a fractional form is called as Rational number. This is represented with “:”. The numerator and denominator are whole numbers in a fraction for a rational number. This includes topics such as multiplication of fraction, fraction as an operator, reciprocal of a fraction, division of a fraction, word problems on mixed fractions and decimal fractions, etc.,

** Examples:**

- 2 * 1/7 = ___

Answer: 2/7

- 3/7*4/11 = ___

Answer: 12/77

- Is 1.5 a rational number?

Answer: Yes

**Exponents and Powers:**

Exponent is number of times a number multiplied by itself. This covers different laws of Exponents such as First law, second law up to fifth law. The topics which are covered under this are expressing the number in exponential form, laws of exponent, standard forms of exponent, solving the exponential expressions, expressing decimal number system in exponential form using power of 10, etc.,

**Examples:**

- Simplify the following: (2
^{20 }% 2^{15}) * 2^{5 }= _____

Answer: 256

- The usual form of 1.001 * 10
^{9}= ___

Answer: 1001000000

**Algebra:**

As we already know, introduction to Algebra is given in the previous class 6 and thus this is a continuation of advanced concepts of Algebra. Algebra is a branch of Mathematics which deals with the symbol and rules for manipulating those symbols. The topics which are covered under this chapter are Generating algebraic expressions involving one or two variables, identifying constants, coefficients and powers, addition and subtraction of algebraic expression, simple linear equations in one variable, etc.,

**Examples:**

- Subtract the following:

3a-b+4 – a –b

Answer: 2a +4

- Terms which have same algebraic factors are called as ______

Answer: Like terms

- The sum or difference of two like terms is called as ______

Answer: Like term

**Geometry:**

This covers vast topics in Geometry like Lines and Angles, Triangle and its properties, Congruence of Triangle, practical geometry and finding out the perimeter and area.

**Lines and Angles:**

A line is a single dimensional object which does not have end point. When two lines meet at a point they form an angle. The point at which the angles are formed is called as vertex. There are different types of angles such as acute angles, adjacent angles, interior angles, exterior angles and so on.

**Triangle and its properties:**

Triangle is one of the geometrical shapes which is a polygon with three sides, 3 vertices or 3 corners. There are different types of Triangles such as equilateral triangle, isosceles triangle, scalene triangle and so on. Similarly, each triangle has its own properties such as Angle sum Property of a triangle, Triangle inequality Property and so on. The topics which are covered under this topic are Medians and Altitudes of the Triangles, Exterior angle of a triangle and its properties, Right angled triangle and Pythagoras theorem, sum of the lengths of two sides of a triangle, etc.,

**Congruence of a Triangle:**

Two triangles are said to be congruent if their respective angles and sides are equal. This topic covers rules of the congruency of triangles, axioms and so on. The topics which are covered under this are congruence of line segments, angles and plane figures, criteria for congruence of Triangles such as SSS, SAS, ASA, AAS, RHS.

** Examples:**

- When two angles are supplementary, each angle is said to be ____ of each other.

Answer: Supplement

- _____ has no end points.

Answer: Line

- According to the Pythagoras property, in a right angled triangle , a square on the ____ = sum of the squares on the legs.

Answer: Hypotenuse

- Determine the angle for the following triangle with the sides 3 cm, 4 cm, 5 cm respectively.

Answer: Right angled.

- How many medians does a Triangle have?

Answer: Three

- An ____ is formed when line segment or lines meet?

Answer: Angle

- If two angles have same measurement, then they are said to be ______ angle.

Answer: Congruent

**Collection and Organization of data:**

Collection of data which are represented graphically to understand the structure and organization of the data. This is because it is easier to understand and interpret when it is pictorially represented. Thus, a collection of data can be represented using different types of graphs such as :

- Bar graphs
- Tally graphs
- Pictographs
- Pie charts

** Examples:**

- Any type of graphs or charts is given. Questions are based on the given pie chart or bar graph. Answers are solved according to the pictorial representation of data.

**Mensuration:**

This covers the topics such as finding the perimeter and area of the given object. Perimeter means total boundary size of an object whereas Area is the total surface covered by an object. Different objects such as circle, rhombus, Trapezium are covered under this topic. Topics such as area of rhombus, parallelogram, trapezium, circle, finding the circumference and area of the circle, area between two rectangles and two concentric circles and so on.

** Examples:**

- Write ¾ in the form of percentage?

Answer: 75%

- One fourth of the perimeter of a square gives _____

Answer: Side of the square

- What is the area of the parallelogram _____

Answer: Base * Height

**Comparing quantities:**

This covers the new topics such as Profit and loss, calculating percentage and simple interest, etc., This is rather very important chapter for a growing child to understand and calculate this day to day mathematical problems.

**Examples:**

- The cost price of 20 articles is same as the selling price of x articles. If the profit is 25%, then the value of x is:

Answer: 16

- If the selling price is doubled, the profit triples. Find the profit percentage?

Answer: 100%

**3-Dimentional visualization:**

This topic deals with the objects which have three dimensions such as length, height and depth. Examples of such object are sphere, prism, pyramid, cube and cuboid.

**Examples:**

- Which is the three dimensional figure which has six rectangular faces at right angles to each other?

Answer: Cuboid

- A three dimensional figure which is bounded by polygons are called as ______

Answer: Polyhedrons

Thus, these are the topics which are covered under the syllabus of **CBSE Class 7** Mathematics.