Class 6 Maths

Class 6 maths ensures to strengthen and build the reasoning skills and the basic concepts of students. Class 6 is the upper primary stage where students begin to understand and apply the mathematical language of symbols and equations. It focuses on implementing a profound knowledge for working with advanced concepts by learning various methods, formulas and theorems. Therefore, it is necessary for students to have a detailed understanding of each topic covered in the class 6 maths syllabus.

Class 6 Maths Syllabus

Class 6 Maths syllabus facilitates reasoning and analytical skills in students. The Class 6 Maths syllabus comprises topics related to numbers, addition, subtraction, and more. A detailed list of these topics is given below.

Number System

• Knowing our Numbers - Comparing Numbers, large numbers in practice, Estimation, Using brackets, Roman numerals,

Whole Numbers

• Predecessor and Successor
• The number line
• Properties of whole numbers
• Patterns in whole numbers.

Playing with Numbers

• Factors and multiples
• Prime numbers and Composite numbers
• Test for divisibility of numbers
• Common factors and common multiples
• Prime factorization
• Highest Common Factor (HCF)
• Lowest Common Multiple (LCM)
• Some problems on HCF and LCM.

Basic Geometrical Ideas

The topic of geometry in Class 6 maths is based on basic two and three-dimensional shapes. It aims to impart a fundamental understanding of necessary 2-D and 3-D shapes including cuboid, cylinder, cone, sphere and so on. This topic primarily involves:

• Points
• A line segment
• A line
• Intersecting lines
• Parallel lines
• Curves
• Polygons
• Angles
• Triangles
• Quadrilaterals
• Circles

Understanding Elementary Shapes

• Measuring Line Segments
• Angles - right angle and straight angle
• Angles - acute angle, obtuse angle, reflex angle
• Measuring Angles
• Perpendicular lines
• Classification of Triangles
• Quadrilaterals
• Polygons
• Three-dimensional shapes (3D shapes)

Integers

• Tag with a sign
• Integers
• Representation of integers on a number line
• Ordering of Integers
• Addition of integers
• Addition of integers on a number line
• Subtraction of Integers with the help of a number line

Fractions

• A fraction
• Fraction on a number line
• Proper fractions
• Improper fractions, Mixed Fractions
• Equivalent Fractions
• Simplest form of a Fraction
• Like fractions
• Comparing Fractions, comparing like fractions, comparing unlike fractions
• Addition of fractions, Subtraction of Fractions

Decimals

• Tenths
• Hundredths
• Comparing decimals,
• Using Decimals in money, length, weight.
• Addition of numbers with decimals
• Subtraction of decimals

Data Handling

• Recording data
• Organisation of data
• Pictograph
• Interpretation of a pictograph
• Drawing a pictograph
• A bar graph
• Interpretation of a bar graph
• Drawing a bar graph

Mensuration

• Introduction to the concept of Perimeter
• Perimeter for a rectangle
• Perimeter of regular shapes, perimeter of a square
• Introduction to the concept of area
• Area of a rectangle
• Area of a square

Algebra

• Introduction to Algebra
• Matchstick patterns
• The idea of a Variable
• Use of variables in common rules, rules from geometry, rules from arithmetic.
• Expressions with variables
• Using expressions practically
• What is an Equation?
• Solution of an equation

Ratio and Proportion

• Understanding the concept of Ratio.
• Proportion as equality of two ratios.
• Unitary method

Symmetry

• Introduction to Symmetry
• Making symmetric figures, inkblot devils,
• Figures with 2 lines of symmetry
• Figures with multiple lines of symmetry
• Reflection and Symmetry

Practical Geometry

• Introduction to geometry
• The circle
• Construction of a circle when its radius is known
• Line segment
• Construction of a line segment of a given length
• Constructing a copy of a given line segment.
• Perpendiculars
• Perpendicular to a line through a point on it.
• The perpendicular bisector of a line segment
• Angles
• Construction of angle of a given measure
• Constructing a copy of an angle of unknown measure
• Bisector of an Angle
• Angles of special measures

The 6th Class Maths syllabus can be completed by practicing questions on the topics given above. Students can use other resources like online worksheets and different textbooks to gain confidence in the subject.

Developing Class 6 Maths Skills

Class 6 maths is the upper primary stage of academics where students must thoroughly understand the concepts related to factors, exponents, multiples, fractions, numbers up to 10-digits, percentages, ratio, proportion, and unitary method, Addition and Subtraction of Algebraic Expressions, Addition and Subtraction of Integers, Algebraic Expressions, Integers, Bar Graphs, Line Graphs, Construction and more. Let us have a look at some of these key topics and ways to develop the core concepts through application and visualization.

Number System

Students in class 6 continue to advance their basic knowledge of numbers by memorizing new concepts of the number system that are related to the integers and their properties. Along with this students also enhance their maths skills learned in the previous grades, such as fractions and decimals.

Geometry

In class 6 maths, students extend their understanding of geometry by learning about elementary shapes, in addition to this students also learn to use geometry tools like compasses, rulers, and others to construct various figures.

Understanding Decimals and Fractions

Decimals and fractions form an important topic in class 6 maths. Students must gain a precise understanding of this important concept through practical examples and pictorial representation of routine tasks like calculating money, bill amount, or any other proportions. For example, using pizza or cake to understand decimal concepts by dividing it into two half portions. Using these simple examples makes the topic relatable and exciting for kids. By learning about the applications of decimals in different fields, students can quickly develop their interest in this topic.

Data Handling

One significant step in the learning journey of 6th class maths for students is about learning new techniques of data handling and analysis such as histograms, pictographs, box-plots, etc. Students must learn how to analyze, interpret and represent data.

Class 6 Maths Tips and Tricks

Solve Interactive Worksheets

Strengthening basic Class 6 maths skills requires reinforcement of concepts. Parents can help the students to practice these skills through interactive worksheets. Interactive worksheets help in the visualization of concepts which is highly useful in comprehensive learning. The engaging format of interactive worksheets is also appropriate for improving math interest in children.

Incorporate Fun in Learning

Playing math games that involve fun activities, math props, and puzzles always proves to be beneficial for students to understand the subject properly. They grasp the concepts easily and retain it in their memories as well.

Class 6 Maths Formulas

Class 6 maths formulas help the students to solve questions easily, hence, they should be memorized and always be at the students' fingertips. They should ideally list all the formulas of class 6 and keep it at a place where it is always visible. For example, next to the study table or the place where a student studies. A few important class 6 maths formulas related to mensuration are given below:

• Perimeter of a Square = 4 × Length of its side
• Perimeter of a Rectangle = 2 × (Length + Breadth)
• Perimeter of an Equilateral triangle = 3 × Length of a side
• Area of a Square = side × side
• Area of a Rectangle = length × breadth

Class 6 Maths Worksheets

Solving Class 6 maths worksheets helps the students come across a variety of questions and builds up their analytical ability. They gain confidence because they are able to solve different kinds of questions. This also trains them to manage their time and they learn how to give the required amount of time to each question. These worksheets include the topics of class 6 maths and the students can even verify the answers that are given at the end of each worksheet.

Solved Examples on Class 6 Maths

Example 1:

Write the next 3 natural numbers after 10999.

Solution:

The next three natural numbers after 10999 are 11000, 11001, and 11002.

Example 2:

Write the decimal form of 5/10

Solution:

The decimal form of 5/10 = 0.5

FAQs on Class 6 Maths

What are the Maths Topics for class 6?

The chapters and topics that are studied by the students in class 6 maths are as follows:

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Idea
• Shapes
• Integers
• Fractions
• Decimals
• Data Handling
• Mensuration
• Algebra
• Ratio and Proportion
• Symmetry
• Practical Geometry

Which is the Hardest Chapter in Class 6 Maths?

In class 6 Maths, there is no chapter that is difficult. However, there are a few topics that are introduced in this class which need a little more time and attention. For example, Algebra, Geometry, and mensuration are a few new topics that need time but these can be mastered once the concepts are clear. Proper planning and regular practice of the related questions from different resources also helps because this makes the student think from different perspectives.

How to Study Mental Maths for Class 6?

Mental maths for class 6 is similar to physical fitness training. It may seem to be painful and difficult initially, but with regular practice, it always improves and helps. Mental maths improves our memory and can be learnt using the following techniques.

• Try to create games related to mental maths along with other students. This helps in making it interesting and it includes some fun elements as well.
• Set a timer of say, 30 seconds and try to finish the given problem within that time.
• Try to use tricks like adding many numbers at once. Use the associative property for simplifying problems.
• Learn the multiplication tables up to 20. This saves a lot of time in calculation.
• Initially give yourself time, and then reduce the time for each question and then focus on your accuracy.

How can I get Full Marks in Class 6 Maths?

Class 6 maths can be excelled with a little bit of effort, sincerity, and consistent practice. Here are a few tips that can help a student to score well in class 6 Maths.

• Practice regularly: This is the most important technique which is always effective and assures the best results. Make sure that you give one hour to Maths every day which includes practicing the questions related to the topic.
• Make a schedule: Planning the topics day-wise or week-wise helps in proper execution. Make a plan and a list that covers all the topics of Maths that you need to cover. Allot 2 topics for one week giving 1 hour every day from Monday to Friday and 2 hours on the weekends because that is usually a holiday.
• Use Visuals and figures: Start solving a problem by at least reading it twice and move on to create a picture or any figure that is helpful in understanding the problem. This helps you think analytically.
• Practice other resources: Try to practice questions related to the topic from different textbooks or online resources. This makes you come across a variety of questions and will build up your confidence.

How to Solve Word Problems for Class 6 Maths?

Word problems in class 6 Maths can be solved using a few tips given below.

• Read the problem: Read the given problem at least twice to understand what the story is all about.
• Note and plan: Note the information that is given and the information that is required. Think about the method and the arithmetic operation which needs to be used here.
• Solve and verify: Solve the problem with a calm mind avoiding any careless mistakes and verify the solution.

Where to Get Class 6 Maths Solutions?

Class 6 maths solutions can be used to verify the answers or to clear any doubt related to the questions. In case, if a student is not able to solve a particular question, he/she can refer to the class 6 maths solutions on the website www.cuemath.com.