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Variation | O Level Mathematics 4024 & IGCSE Mathematics 0580 | Detailed Free Notes To Score An A Star (A*)

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  • Variation means how an increase or decrease in one thing affects another thing
    • Direct variation means that one thing increasing will increase the other thing as well
    • For example, the number of houses created is directly proportional and variated with amount of raw material
    • Inverse variation means that increase in one thing reduces the other, for example, the price of product and the customers who will buy it are negatively or inversely variated
      • If you increase the price then the customers will fall as less people will afford the product.
  • For direct proportion, we use the formula y=kx, where k is the constant.
    • To find K, we will put one pair of y and x
  • For inverse proportion, we use y = k/x, and we put one pair of y and x (or whatever is the name of the variables) to ensure that we can get the value of k.
  • We can also say
    • y is directly proportional to the square of x
    • So y=kx^2
  • We can also say
    • y is directly proportional to the cube of x so we can say y= kx^3
  • But the main concept is the same. No other rocket science in this chapter.
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Hunain Zia has previously achieved considerable success in the high-school educational stream, gaining a massive 154 Total A Grades and 7 Major Distinctions, a process in which he broke/ set 11 different world records, including the most A grades ever achieved, most subjects ever appeared in, most distinctions, gaining distinctions across two separate boards (Pearson Edexcel and CAIE) within the same year/ ever, and even 19 hours of constant examination. All records stand intact today. Hunain pursued his Honors Accounting Degree from the prestigious Bentley University, and then completed an LLB (in Honors) from University of London. Currently, he manages multiple social and commercial projects, has founded digital streams and works tirelessly in the education sector.

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