Arithmetic Skills

The chapter discusses determination of lowest common multiple (LCM). It explains in detail how to find the LCM of given factors through descriptive examples.

The chapter discusses the determination of highest common factor (HCF). It explains in detail how to calculate the H.C.F through the factorization and division methods. We will also learn about the H.C.F and L.C.M of fractions, besides L.C.M by factorization.

The chapter discusses common fractions. It explains in detail about the operations between common fractions such as the addition and subtraction of fractions. We will also learn the method of comparing two given fractional values.

The chapter discusses the concept of decimal fractions. It explains in detail the rules for converting a decimal into a vulgar fraction. It also describes how to perform addition, subtraction and multiplication of decimal fractions.

The chapter discusses the concept of simplification. The term implies the method of performing calculations through simpler methods. It also offers multiple examples of simplification sums with their solutions.

The chapter discusses the determination of the square root of a number. It also explains in detail about square root by factorization. We will also learn how to find out the square root of decimal fractions.

The chapter discusses how to find the average of a given set of numbers. It explains in detail about the formula of finding the average value of numbers with the help of solved examples.

The chapter discusses how to find the percentage value of given numbers. It explains in detail about the formulas associated with the concept through the help of a few solved examples.

The chapter discusses the concepts of profit and loss. It explains in detail about cost price, selling price, profit or gain, loss. We will also learn how these terms are applicable in our daily lives.

The chapter discusses the concepts of ratio and proportion. It explains in detail about compounded ratio, variation and other terms associated with these concepts. We will also learn how to compare rational values.

The chapter discusses the concept of partnership. It explains in detail about the techniques to calculate the ratio of division of gains. We will also learn about working and sleeping partners.

The chapter discusses the concept of chain rule. It explains in detail about the related topics such as direct and indirect proportion and how they are to be applied through a set of problems.

The chapter discusses the concepts of time and work. It explains in detail the associated definitions and formulas of time and work through elaborated solutions and examples.

This chapter deals with time and distance. It gives the definition of speed and formulas related to speed, time, velocity, and distance. Multiple choice questions with solutions are provided here.

The chapter discusses the concept of simple interest. It explains in detail the general concepts of simple interest such as principal or sum, and the interest value imposed on that sum.

The chapter discusses the concept of compound interest. It explains in detail the general concepts of compound interest through solved examples related to the concept.

The chapter discusses various problems related to the method of calculating the age of an individual. It explains in detail how to solve related problems through well-explained solutions.

The chapter discusses the number system. It explains in detail the concepts of even and odd numbers, along with local, place and face value. We will also learn about prime and composite numbers here.

The chapter discusses the various problems related to finding area of a shape or a place. It explains in detail about the definitions and formulas related to area and their usage.

The chapter discusses the concepts of volume and surface area. It explains in detail about the formulas of cuboid, cube, cylinder, cone, sphere and hemisphere through well-described examples.

The chapter discusses the concepts related to the mathematical branch of trigonometry. It explains in detail the limits of T-ratios, along with the addition and subtraction formulae. We will also learn about the sum or difference in terms of product.

The chapter discusses mathematical problems related to pipes and cisterns. It explains in detail the important facts and formulae related to these kinds of equations with the aid of descriptive examples.

The chapter discusses the concept of permutations and combinations. It explains in detail the terms such as factorial notation, number of permutations and number of combinations in this chapter.

The chapter discusses the concept of probability. It explains in detail about important facts and formulae related to probability through solved problems related to this concept.

The chapter discusses the concepts related to alligation or mixture. It explains in detail the important facts and formulae related to alligation or mixture. We will also learn about the mean price, and other rules of alligation here.

The chapter discusses the concept of data interpretation. It explains in detail how data can be presented in graphical form and leveraged in different mathematical fields. We will study the common questions about this concept through solved exercises.