How do we know that the average rainfall the city received in July is 460mm? Or How can we conclude that China has the largest population in the world? Mathematics helps us. A field of mathematics called ‘Statistics’ does the work. Statistics assist us in the collection of data, analysing it, and further interpreting it, …
If we ask a cricket captain, to what are the chances that his team will win the game, he might turn up and say ‘50%’. This means there are 50% chances of winning and 50% chances of losing the game. The captain assumes this by taking into consideration all the aspects of the team playing …
We all know Pythagoras theorem by now. But did you know it played a crucial role in proving that irrational numbers exist? Yes! A triangle with two sides except for hypotenuse, measuring 1 unit was taken into consideration. The length of the hypotenuse will thus be the square root of 2. By using various equations …
Are you familiar with the term ‘monomial’? A monomial is an algebraic expression which consists of one term. For example – 30. In this expression, there is no other term other than 30. In the same way, an expression that consists of four or more terms is termed as ‘Polynomial’. In simple terms, polynomials are …
Imagine you are in a supermarket to take milk and eggs, but you are also in a hurry. Now if you go on to search the entire place, you are going to be late for sure. So what can be done? Well, how about asking a store representative for guidance? They will direct you at …
Word problems always make you sweat in stress. One reason for this is because of the confusing questions asked. For instance – try finding an answer to this question – Bob and Martha have 45 chocolates. They gave 15 chocolates to Cathy. How many chocolates does Bob have? All that we know is – Bob …
Take a notebook and a pen, and draw a point on it. Now, measure the point that you’ve drawn. Did you get an answer? No? It’s because the point is not actually a geometrical figure. What we draw is an indicator, not a figure. Isn’t this interesting? Want to know more such interesting facts? Let’s …
In mathematics, various shapes are either 1-dimensional, 2-dimensional or 3-dimensional. In the previous grades, you might have learnt about some of them consisting of lines, squares, cubes and many more. In this chapter, we will learn in detail about lines and angles. We will explore different types of angles, like the adjacent and complementary angles. …
What comes to your mind when you see the number – 1729? Is it just an ordinary number like the rest? Not at all! There is a very intriguing story behind this number. The number is the famously called “Hardy-Ramanujan number”, among mathematicians. It is the smallest number which is a sum of two cubes …
Don’t your eyes roll on and ears hold up straight when you hear the word – Discount? It does, we know! Have you wondered if the shopkeeper is selling the items for a discount, how come he is still making a profit? In this chapter we will study the most important concepts of finance – …
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