Squares and cubes pdf download

Teachers and parents are requested to download and print these printable kindergarten worksheets free and use them for training their kids. Extensive research has been done by teachers who teach in kindergarten classes before making these worksheets.

It's not an easy task to prepare worksheet which matches the requirement of all types of kids as they all have different learning and grasping capabilities. It's not always necessary to take out printouts of these worksheets as most of the times parents are required to sit along with their kids too do these worksheets. In such a case you can open the worksheets on your computer, iPad, phone screens and go through the worksheets along with your child.

We have provided worksheets for basic subjects like English, Maths, Hindi and other subjects which are being taught in various schools. As per research done by various department's looking into how to develop skills in young children, all of them have given the importance to develop critical thinking and problem solving skills in young children.

The earlier the skills are developed the better it is as what the child learns in these young years will help a child to be a better student in future classes. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education.

Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning. Last year CBSE had to reduce the syllabus because of the pandemic situation but it was not very effective because there were no examinations.

Chapter three is Squares and Square Roots. The concepts covered in the chapter include perfect squares and their properties and finding the products of two consecutive odd and even numbers. Apart from this, the chapter also lets students know the different techniques using which they can find the square root of a given number, such as the column and diagonal method.

The other methods that you will be learning in this chapter are the factorization and long division methods. Additionally, you will also learn to find the square root of decimals and fractions. In chapter four, you will learn to find the cubes and cube-roots of different numbers. The concepts that you will be learning here include the cube of a number and its properties.

Furthermore, you will also learn the shortcuts to find the cube of two-digit numbers and the techniques used to find the cube root of a negative perfect cube. The other concepts covered in this chapter include how to find the cube root of the product of a different integer and rational numbers. You will also learn how to assign numbers to alphabets to solve various types of numerical problems.

Chapter seven, Factorization, tells you the different techniques using which you can factorize numbers, including monomial, binomial, and trinomial factorization. The chapter also lets you know about other concepts related to factorization, such as factorization by grouping, factorization of a perfect square, and factorization of quadratic trinomial among other things. It also deals with various other concepts like transposition and conversion of verbal statements into linear equations and the applications of linear equations.

You have already learned about profit and loss in class 7. So, this chapter is an extension of that. The chapter has concepts like sales tax, value-added tax, and discount on the marked price of an item. Chapter 11 introduces you to the concept of compound interest. It has concepts like finding the compound interest on a monthly, quarterly, half-yearly, and yearly basis without using any formula. You will also learn to calculate the compound interest using the standard formula and the applications of the concept in everyday life.

In this chapter, you will learn to solve problems in direct and inverse proportions. The chapter tells you about the concepts of time and work and how you can apply them to find the amount of time that a person takes to complete a given task.

You will also learn about the concept of simple open curves that help in the formation of polygons. This chapter is important and you have to prepare it properly. Square and square roots hold 12 marks and both short and long questions will be asked from this chapter. This chapter is an advancement over the previous chapter as it introduces students to cubes and cube roots. Students get to learn the properties and patterns associated with the same as they go through the chapter.

To become thorough with the chapter, students are urged to solve all the exercises which include:. Exercise 7. The next chapter is cubes and cube roots. The first topic in this chapter is the cube and it is on how to find perfect cube numbers.

Learn the application of perfect cubes and solve questions related to them. Solve the exercise questions and examples to understand the topic better. Practice questions on perfect cubes also.

The last topic in this chapter is the cube root of a number, first, learn the definition of a cube root, then practice how to find a cube root of a number. Go through the cubes and cube roots table. This chapter is comparatively smaller than the rest and it holds 6 marks. This does not mean that you can skip it. Practice and cover all the topics only then you can score well in the exam. Another important topic in this chapter is the cube root by prime factorization method, as you can already understand that this topic is going to be about how you can find the cube root of a number by prime factorization.

Practice examples and solve similar questions. Some examples of numbers are cube roots of , , , etc. This chapter on Comparing Quantities can prove to be very interesting for the students as they are made familiar with the concepts of percentages, discounts, sales, etc.

Students also get to learn how to calculate simple, compound interests, concepts that have profound uses in our lives. So make sure to practise all the 28 questions included in the exercises. Exercise 8. Topics Covered in Comparing Quantities are as Follows:. This chapter is fairly bigger but do not be discouraged as you can easily learn it.

There are 9 exercises in this chapter and you have to be thorough with each. You must also know that this chapter holds 16 marks thus, you have to prepare this chapter very thoroughly. The first topic in this chapter is percentage and ratios. Learn about percentage difference, percentage increase, and decrease, etc. Practice and memorize the formulas and practice solving examples and questions. Learn how to convert fraction to a percentage, percentage vs per cent, etc. Practice the percentage tricks and try to solve questions by using them.

Practice questions related to ratios and revise the topic. Learn the formulas for profit and loss and their percentage, discount percentage, increase and decrease percentage. The next topic is compound interest.

Learn all the formulas and solve questions related to them. The topic of simple interest is another important topic and you must learn the related formulas and practice questions and examples.

The 8 th topic in this chapter is on rate compounded annually or half-yearly, this is an important topic and you must practice and solve questions related to it.

The last topic in this chapter is applications of compound interest formulas, so, learn the advantages and disadvantages. Solve as many questions and examples as possible and be very thorough with this chapter. Students in this chapter are brief about the various terms associated with Algebraic Expressions and Identities.

The concept of factors, coefficients, monomials, binomials, and polynomials have been explained and students are also taught how to perform various operations on them. Students need a thorough practice of all the exercise questions to solidify their grasp of this chapter in CBSE class 8 maths. Details of the questions included in this exercise are:. Exercise 9.

The ninth chapter and one of the most important chapters in the class 8 maths is algebraic expression and identities. In this chapter, there are 12 exercises and this chapter holds 12 marks. The first topic in this chapter is about expressions, you have to learn about the types of algebraic expressions and learn their formulas.

Some of the important expressions that you must be attentive to are monomial, binomial, polynomial, and variable expressions. Go through all the examples before solving the exercise questions. In the next topic, you have to learn about factors, coefficients, and terms. Another important topic in this chapter is the addition and subtraction of algebraic expressions. In this chapter, you will learn how to add and subtract algebraic expressions.

Learn the methods properly and solve examples to get better clarity of the topic. Following the 5 th topic, the 6 th topic is about the multiplication of algebraic expressions. You have to learn how to multiply algebraic expressions, their formulas, and the terms used. Next, you have to learn how to multiply monomial by a monomial and monomial by a polynomial, practice questions related to it.

Exercise 11 is about standard identities, in this learn the conditions for the standard equation. Learn all the types of standard identities and practice questions related to each identity.

The last topic in this chapter is how to apply identities. Learn the method and practice exercise questions and examples. You have to put more emphasis on this chapter because it is a little lengthy. Students get to learn about the concept of 3D geometry and visualise solid shapes in different dimensions. The concepts of edges, faces and vertices are explained in this chapter and students are taught how to map a solid shape in the three dimensions.

This chapter requires rigorous practice and students should, thus, solve all the questions given in the exercise. Exercise In this chapter, there are 4 exercises. Visualizing solid shapes carries 6 marks and the chapter can be learned easily. The first important topic in this chapter is mapping space around us, in which you will learn how to space maps and their uses.

Another important topic in this chapter is the faces, edges, and vertices of 3D shapes. Learn about the faces, edges, and vertices of 3D shapes, learn their properties, and solve questions related to them. You also have to learn about the types of the polyhedron. This chapter is small and you can finish preparing it quickly.

In addition to this, students will also learn how to calculate the area and volume of cubes and cuboidal structures using various formulae. Students must ensure that they solve all the questions included in the exercises of this chapter. Topics Covered in Mensuration are as Follows:. This chapter is very important and you must learn it thoroughly. There are 9 exercises in this chapter and this chapter carries 15 marks.

The first important topic in this chapter is the area of a trapezium. In this chapter, you have to learn about the concept of the trapezium and its properties. Learn the formula for the area and perimeter of the trapezium and solve questions related to it.

The last sub-topic is the derivation of the area of a trapezium and applications of a trapezium. Practice the derivation properly as it may come in a long answer question. Solve all the exercise questions and go through the examples also. The next topic in this chapter is the area of quadrilateral, learn the properties of quadrilaterals and try to memorize them, also learn the formula for the area of quadrilateral and solve questions.

The 5 th exercise of this chapter is the area of a polygon, so, learn about the area of the polygon and its formula. Practice exercise examples and questions. The next topic is the surface area of a cube, you have to learn how to find the surface area of a cube, cuboid, and cylinder. You also have to learn how to find the length of the edge of the cube.

Practice and learn the formulas and solve all the exercise questions and examples. The topic volume of cube, cuboid, and the cylinder is very important and questions will be asked from this topic. Learn the formulas of the cube, cuboid, and cylinder. The last topic in this chapter is volume and capacity, learn the definition of volume and capacity, their difference, and their formulas. Practice the exercise questions. All the exercise questions must be at least solved once and you can maintain a separate note for revision.

Students in this chapter get to be familiar with the concepts of powers and exponents positive as well as negative. Expressing numbers in standard form by making use of exponents and comparisons of very large with very small numbers is also an integral part of this chapter. To understand this chapter, practise the exercises which include:.

Topics Covered in Exponents and Powers are as Follows:. The next chapter in the maths syllabus is exponents and powers. This chapter has 4 exercises and it carries 6 marks.

In this chapter, you have to learn about exponents vs powers, integers with positive and negative exponents. Solve examples related to each topic and practice solving all the exercise questions. You also have to learn all the integer exponent rules. This chapter is easy and small and with little dedication, you can easily learn and prepare it. The next topic in this chapter is the laws of exponents. You have to learn about the rules of exponents and practice every example.