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# Class 7 Maths

**Class 7 maths** emphasizes on the development of analytical thinking in students. It is the base for developing secondary-level computational skills in students. The **Class 7 maths syllabus** includes new topics in Algebra like polynomials, constants, variables, equations, expressions, and exponents which form the base for solving complex algebraic expressions used in class 8 maths. Apart from this, it includes congruence in triangles and other topics in practical geometry. Thus, understanding the concepts of class 7 maths is important for students so that they do not face any problems in the higher classes.

## Class 7 Maths Syllabus

The **Class 7 Maths syllabus** is absolutely complete in facilitating the primary skillset in students. The Class 7 Maths syllabus comprises topics related to integers, multiplication and division of integers, algebra, geometry and so on. The syllabus that is covered in class 7 maths is given below.

**Integers**

- Properties of Integers
- Properties of addition and subtraction of integers
- Multiplication of integers
- Properties of multiplication of integers
- Division of integers
- Properties of division of integers

**Fractions**

- Revision of fractions, Proper fractions and Improper fractions, addition and subtraction of fractions.
- Multiplication of fractions.
- Division of fractions
- How well have we learned about decimals?
- Multiplication of Decimal numbers
- Division of decimal numbers

**Data Handling**

- Collecting data
- Organization of data
- Representative values, mean, mode, median
- Use of bar graphs with a different purpose, chance and probability.

**Simple Equations**

- Setting up of an equation.
- From solution to equation
- Application of simple equation to practical situation.

**Lines and Angles**

- Related angles: Complementary angles, Supplementary angles, vertically opposite angles
- Pair of lines: Intersecting lines, transversal, checking for parallel lines

**Triangle and its Properties**

- Medians of a triangle
- Altitudes of a triangle
- Exterior angle of a triangle and its properties
- Angle sum property of a triangle
- Two special triangles: equilateral triangle and isosceles triangle.
- Sum of the lengths of two sides of a triangle.
- Right-angled triangle and Pythagoras theorem and property

**Congruence of Triangles**

- Congruence of plane figures
- Congruence among line segments
- Congruence of angles
- Congruence of triangles
- Criteria for congruence of triangles
- Congruence among right-angled triangles.

**Comparing Quantities**

- Equivalent ratios
- Percentage - another way of comparing quantities, Meaning of Percentage
- Converting fractional numbers to percentages
- Converting decimals to percentage
- Converting percentages to fractions or decimals
- Use of percentages, interpreting percentages, converting percentages to 'How many'
- Ratios to Percents
- Increase or decrease as percent.
- Prices related to an item or buying and selling
- Profit or loss as a percentage
- Charge given on borrowed money or simple interest
- Interest for multiple years

**Rational Numbers**

- Need for rational numbers
- What are rational numbers?
- Positive and negative rational numbers
- Rational numbers on a number line
- Rational numbers in standard form
- Comparison of rational numbers
- Rational numbers between two rational numbers
- Operations of rational numbers: Addition, Subtraction, Multiplication, Division

**Practical Geometry**

- Construction of a line parallel to a given line, through a point not on the line.
- Construction of triangles
- Constructing a triangle when the lengths of its three sides are known (SSS criterion)
- Constructing a triangle when the lengths of two sides and the measure of the angle between them are known (SAS criterion)
- Constructing a triangle when the measures of two of its angles and the length of the side included between them is given (ASA criterion)
- Constructing a right-angled triangle when the length of one leg and its hypotenuse are given (RHS criterion)

**Perimeter and Area**

- Squares and rectangles
- Triangles as part of rectangles
- Generalizing for other congruent parts of rectangles
- Area of a parallelogram
- Area of a triangle
- Circles: circumference of a circle,
- Area of circle
- Conversion of units, Applications.

**Algebraic Expressions**

- How are Expressions formed?
- Terms of an Expression: Factors of a term, Coefficients
- Like and Unlike Terms
- Monomials, binomials, trinomials and polynomials
- Addition and Subtraction of Algebraic Expressions
- Finding the Value of an Expression
- Using Algebraic expressions - Formulas and Rules

**Exponents and Powers**

- Exponents
- Laws of exponents, Multiplying powers with the same base, dividing powers with the same base, taking power of a power, multiplying powers with the same exponents, dividing powers with the same exponents, numbers with exponent zero
- Miscellaneous examples using the laws of exponents
- Decimal number system
- Expressing large numbers in the standard form.

**Symmetry**

- Lines of symmetry for regular polygons
- Rotational symmetry
- Line symmetry and rotational symmetry.

**Visualizing Solid Shapes**

- Plane figures and solid shapes
- Faces, edges and vertices
- Nets for building 3-d shapes
- Drawing solids on a flat surface, Oblique sketches, isometric sketches
- Visualising solid objects
- Viewing different sections of a solid

## Developing Class 7 Maths Skills

Class 7 maths focuses on developing various real-life skills in students. Thus, it is important that the students should learn the subject through practice and visualization. Some of the important computational skills that students develop in Class 7 are based on the following topics:

**Expressions and Equations**

Students in class 7 learn to work comfortably with expressions and equations. They start using variables in solving real-world problems. Students also build their basic understanding to interpret inequalities and represent them through graphs. Once these concepts are strengthened, it helps them in preparing for algebra in further grades and understanding linear equations to find the slope and represent it on the graph.

**Number System**

In class 7 maths, students completely master the skill of interpreting and computing all rational numbers. They can comfortably apply all arithmetic operations on these decimals and fractions. They are able to compute positive and negative numbers using basic mathematical operations and interpret the meaning of absolute value.

**Geometry**

Class 7 maths focuses on understanding the concept of volume and area to calculate the surface area of various 2-D and 3-D objects. They also learn the formulas for the area and circumference of a circle.

The** 7th Class Maths syllabus** can be completed easily if the students practice the questions of the topics given above and become thorough by using other resources or worksheets that are available. Referring to other textbooks also helps them build up their confidence in the subject.

## Class 7 Maths Tips and Tricks

**Solve Interactive Worksheets**

Class 7 maths can be mastered if the students practice the questions through interactive worksheets. Interactive worksheets offer visualization of concepts which is useful in comprehensive learning. The engaging format of interactive worksheets also helps in developing an interest in the subject.

**Incorporate Fun in Learning**

Maths can be made interesting by making use of fun activities, solving puzzles, flashcards or using math props. These learning aids help the students to get a hold on the subject and they tend to retain the concepts.

## Class 7 Maths Worksheets

Solving Class 7 maths worksheets not only builds up confidence in students but also helps them explore the variety of questions that can be asked on a particular topic. They learn how to manage their time well and gradually build up their speed and accuracy in the subject.

## Solved Examples on Class 7 Maths

**Example 1:**

Add the given fractions: 2/7 + 3/7

**Solution:**

Since the given fractions are like fractions, we just need to add the numerators and the denominator will remain the same.

2/7 + 3/7 = 5/7

**Example 2:**

If the length of a rectangle is 40 units and its breadth is 15 units, find its area.

**Solution:**

Length of the rectangle = 40 units, breadth = 15 units

Area of a rectangle = length × breadth

Area of a rectangle = 40 × 15 = 600 square units

## FAQs on Class 7 Maths

### What are the Topics for Class 7 Maths ?

The maths topics for class 7 are given below. However, a detailed list of these topics along with the syllabus is given above on this page.

- Integers
- Fractions
- Data handling
- Simple equations
- Lines and Angles
- Triangle and its Properties
- Congruence of Triangles
- Comparing quantities
- Rational Numbers
- Practical Geometry
- Perimeter and Area
- Algebraic Expressions
- Exponents and Powers
- Symmetry
- Visualising Solid Shapes

### Where to Find Class 7 Maths Solutions?

Students can find class 7 maths solutions on the website www.cuemath.com if they have any doubt in the topics or questions in maths. The math experts at Cuemath provide a complete solution to all the problems in the subject.

### What are the Class 7 Maths Formulas that need to be studied?

There is a list of formulas that are used in class 7 maths. This detailed list can be found on the page, maths formulas for class 7. However, a few of the important class 7 maths formulas are given below:

- a
^{x}/ a^{y}= a^{x-y} - a
^{x}/b^{x}= (a/b)^{x} - (a
^{x})^{y}= a^{xy} - (a-b-c)
^{2}= a^{2}+ b^{2}+ c^{2}- 2ab + 2bc - 2ac - Increase in Percentage = (Change / Original Amount ) × 100
- Profit percent = (Profit / Cost price) × 100
- Simple Interest = (Principal × Rate × Time) / 100
- Amount = Principal + Interest
- Pythagoras Theorem : (Hypotenuse)
^{2}= (Adjacent Side)^{2}+ (Opposite Side)^{2} - Area of a Circle = πr
^{ 2}, where 'r' is the radius of a circle and π = 22/7 or 3.14

### How to study Mental Maths for Class 7?

Mental maths for class 7 can be studied using a few simple tricks and techniques.

- Pick up a set of 5 questions and try to time yourself for each question.
- Try to check how much time you gave to each question. Work on the weaker areas and then give yourself a retest.
- Create a game and involve your friends in the quiz to see who solves the questions first.
- Learn multiplication tables up to 20 and if possible, try to use this in your day-to-day life. This will build up your confidence and speed up your math skills.

### How to Solve Word Problems for Class 7 Maths?

Word problems for Class 7 maths can be solved using the tips given below:

- Read and Understand: Read the word problem properly and try to figure out what the problem is trying to convey. If possible, draw a figure related to it. This helps in analyzing the problem.
- Note and plan: Note down the information that is given in the question and the one that is required. Think of the method or formula that will help in calculating the required quantity.
- Solve: Solve the question carefully avoiding any careless errors of copying the wrong number from the problem, or any calculation errors, etc.

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