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# Maths for Kids ## Kangaroo Mathematics Exam for Kids

Känguru der Mathematik or Mathematical Kangaroo is an international mathematical competition held in 92 countries across the world. There are six levels of the competition from grade 1 to grade 12. Grade 1 and 2 competitors will take the same test, grade 3 and 4 students will take their test (which is distinct from grade … ## Deriving the Formula of Variance without using the Sample Mean

Variance is a measure of how the data points vary from the mean. Since we want the absolute variance, we need to square the distance from the mean on both lower and upper sides. Therefore, the formula of variance is as below. Below are the steps to deriving the formula of sample variance without using … ## Probability of picking two red balls with and without replacement

The first two cases are without replacement and the next two cases are with replacement. Case 1: Let’s say there is an urn with 5 red balls and 50 green balls. What is the probability of picking one red ball from this urn? This one is easy – there are 5 red balls and the … ## The Intuition of Integration

When you open a tap to fill the bucket, the bucket filled with water is the integration of the tap flow of water over time taken to fill the bucket. Intuitively, integration is addition (integrating – including) and differentiation is division (subtraction or separation). In the above curve, if you want to know the area … ## How spatial thinking could help children learn maths – and go on to use it in their careers?

This article is originally published in The Conversation here. Do you struggle to visualise how to rotate your shoes so that they nest together in a shoe box? How are you with flat-packed furniture? Are you good at giving directions? These everyday activities require spatial thinking. Spatial thinking is important for mathematics, and it is …

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