Try solving this riddle. I have no vertices. I have no flat faces. I have infinite axes of symmetry. Who am I? It’s a Circle. We find circular objects everywhere from round cakes and bangles, to dartboard and cycle wheels. No wonder, the world of circles takes us to another tangent. Surprisingly, tangents are exclusively …
Imagine you are constructing a bridge. The instructions given for the construction should be followed precisely. Lack of understanding may result in the bridge to collapse. So, measurements and accuracy play a key role in any construction. On similar lines, when it comes to construction in mathematics, it holds the same strategy. Firstly, we should …
Imagine a round cake. What is its area? By using the formula that we have studied in the lower grades, we can find the answer easily. But what if we tell you to to find the area of one slice of the cake? Is there a way to find its area? One slice of the …
In our previous grades, we learned the formula to calculate the area of the triangle. Can you recall that? ½ (Base x Height). Let’s consider a triangle. The sides of the triangle measures, 4 cm, 3 cm and 6 cm. Now, can you calculate the area? By using the above formula, we cannot. So what …
Can you tell what is the difference between the surface area and the total surface area of any shape? Both sound the same, right? So why do we have two different formulae for these? You will know the answers to these questions yourself, once you start observing shapes and figures closely. In this chapter, we …
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 …
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