Have you ever inspected an ice-cream? It reveals two solid objects, one a hemispherical scoop of delightful ice-cream, and second, the conical part that is a cone. So, this ice-cream is a combination of a cone and a hemisphere. What if we tell you to find out the volume and surface area of that entire …
Statistics is a branch of mathematics which deals with graphs, pie graphs, histograms and many more mathematical elements. In lower grades, we have already mastered skills in bar graphs, pie graphs, histograms and frequency polygons. In this chapter, we will move forward to advanced learning techniques of statistics. Here, in this lesson, you will encounter …
Ever wondered, why do meteorologists use the weather patterns to predict the chances of rain? Or how can we predict the chances of passing, in an examination, based on our performance? These ‘Chances’ that we are referring to, are nothing but ‘Probability’. In weather forecast, they check the ‘Probability of rain’, while after an examination …
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. …
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