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Geometry is another topic that is going to be important for advanced math classes. This chapter will introduce you to the basics of a quadrilateral, a polygon with 4 sides.
A cube-shaped object formed by connecting various line segments is called a polygon and then are various shapes in polygons. It depends on the angle between the two line segments and the number of line segments. The shapes can quadrilateral, triangle, hexagon, pentagon, etc. This chapter includes drawing 4 sides in a quadrilateral with 2 adjacent sides, 3 angles and 1 diagonal area given to you. You will be further explained how to draw different types of quadrilateral in this chapter.
Data has become a very important tool in recent years. But with the amount of data available, the next step becomes very important, that is how to handle the data. This chapter will help you develop basic knowledge on how to handle the data and arrange it systematic order so that meaningful results can be interpreted.
This is done to induce clear knowledge of the data and to diagrammatically represent it in the form of a bar graph, pie chart, double bar graph, etc. This chapter offers a plan to discuss the various roots of a number. Suppose a number A is represented because the square of other number say B, then B here, is the square root of A. The number is said to be an excellent square when the roots of a number are also a number.
This strategy of finding roots is very useful in higher standards. There are numerous ways through which you can seek out the cubes and cube roots of a number. But in this chapter, you will learn about these cubes by adding consecutive odd number pattern. When you compare quantities, you need to have an increase or decrease of percentage, sales value, market value, discount, and the discounted value of the product to check whether you have made profit or loss.
This chapter further dwells into extra expenses that are incurred like excise tax, acquisition of piece, whether interest is compounded yearly, half-yearly, or quarterly, etc. This chapter explains the mathematics expressions and identities along with their implementation. It also explains the terms area unit that is used additionally to express pure mathematics expressions and how these terms are shaped based on different products.
This chapter further dwells into binomials, monomials, trinomials, and much more based on the number of terms. It also explains the multiplication of polynomials by polynomials and the addition of mathematical expression. In this chapter, you will study the solid objects that have height, length, and breadth and thus they are referred to as 3D objects.
Along with you will also learn about the edges, faces, and vertices about some solid figures like triangular pyramids, cuboids, square base, and triangular prisms, etc.
This chapter will deal with issues related to areas and perimeter of closed figures. Along with this, you will study the volume of solid figures like a cylinder, cube, cuboid, and so on. You will also get to know how to transform the quantity into various units. The questions in this chapter will give you details on inverse and direct proportions.
This inverse and direct proportions are identified based on the relative decrease or increase of one quantity with respect to other quantities. The questions in this chapter will be from daily life and interesting. This chapter is based on the factorization of algebraic expressions and natural numbers. This can is either algebraic values, numbers, or expressions. Furthermore, you will learn about the factorization method used for common factors, by using identities, factors, and regrouping terms.
You will also learn division of one polynomial by other, monomial by monomial or polynomial, and finding an error in algebraic equations. In this chapter you understand the purpose and importance of graphs, to show the numerical facts in visual forms so that everyone is able to understand the concept very easily. You will also study about quantity and cost, simple and principal interest, time and distance, on graphs with the use of independent and dependent variables.
In this chapter, you will deal with numbers in a general form. Finding square of large numbers. Pythagorean triplets. Square root. Finding Square root through repeated subtraction. Finding Square root through prime factorisation.
Checking if perfect square by prime factorisation. Smallest number multiplied to get perfect square. Smallest number divided to get perfect square. Smallest square number divisible by numbers. Finding number of digits in square root without calculation.
Finding square root by division method - Integers. Least number subtracted to get a perfect square. Least number added to get a perfect square.
Finding square root by division method - Decimals. Statement Questions.
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