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

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  • It is actually a very simple concept
    • For example, if I say that on your scale you take a measurement.
    • Now, we know that on the scale, the centimeter is divided into 10 millimeters
    • If I take a reading on the scale, and it comes between 1.5 cm and 1.6 cm, I can’t be sure if it is 1.51cm, 1.52 cm, 1.53 cm, 1.54 cm etc.
    • Therefore, we can say that the scale provides me measurement correct to 0.1 cm, but not any smaller than this.
    • In other words, the smallest marked division on any reading is correct to what the measurement will occur.
  • Therefore, we can create a limit to its accuracy
    • We will take the smallest measurement
    • Which in this case was 0.1 cm
    • We will then divide it by 2.
    • Which is 0.05 cm
    • What ever reading we take will be correct to 0.05 cm which is the limits accuracy in this case.
  • On my car’s meter, the speed it measured in the divisions of 1 km. For example, it will say either by speed is 62 km/h or 63 km/h – however, my actual speed can be anywhere from 62.1 to 62.9 km/h.
    • Here, the smallest unit was 1 km
    • Therefore, the limits of accuracy is 1/2 km
    • Which is 0.5 km
Hunain Zia

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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