Things to remember :
- Convert scores on different scales (5, 10, 30, 40, 50) into a score out of 20 using simple conversion coefficients.
- Use online tools to facilitate note conversion and avoid manual calculations.
- Understand the importance and popularity of the 20-point grading system in France for a clear and accurate assessment of academic performance.
The various calculations can become a real headache, such as how to calculate the debt ratio or how to determine a family quotient. The same applies if, after devoting hours to an assignment, you come up with an enigmatic result, such as 16 out of 25. You might find yourself puzzled, looking for a way to convert this number into a familiar note.
Rest assured, you don't need to be a math specialist to grasp the ins and outs. With the appropriate use of online conversion tools and a few concrete examples, transforming any number, be it 5, 10, 25, 30 or even a percentage, becomes a simplified exercise.
So you can, how to reduce one score to another out of 20? Read on, because the knowledge you'll gain in the next few lines could make your average calculations a lot easier.
How to convert any score to 20?
Here's how it works 4 basic conversion formulas to mark out of 20 :
Turning a rating of 5 into a score out of 20
The method for establishing a score out of 20 begins by determining the conversion coefficientfound by dividing the highest number by the lowest, i.e. 20 by 5, giving a coefficient of 4.
- So, to convert a rating of 15 out of 20 into a rating out of 5, simply divide 15 by 4, which gives 3.75.
Conversely, to transpose a score of 3 out of 5 into a score out of 20, multiply 3 by 4, resulting in 12.
Adapting a score out of 10 to obtain an evaluation out of 20
Applying the same logic as above, the calculation leads to a division coefficient of 2, i.e. 20/10.
- If you convert a rating of 15 out of 20 into a score out of 10, you'll get 7.5 out of 10, knowing that 15/2 = 7.5.
To transpose an assessment of 5 out of 10 into a mark out of 20, the answer is 10 out of 20, since 10 is the result of 5 x 2.
Here's a video that shows you how to convert a score out of 20 :
Extending an assessment from 20 to 30 and vice versa
In this scenario, the application of proportionality rule (or cross product) is relevant. The idea is to find the value n that represents the score out of 30.
Taking the example of a 10 out of 20 rating to be converted into a 30 out of 30 rating, the method is as follows:
- From 10 → to 20; From n → to 30; let's calculate n = 10 x 30 / 20, resulting in a score of 15. Thus, a score of 10 out of 20 is equivalent to 15 out of 30.
This same formula is reversible to establish a score out of 20.
For a rating of 15 out of 30, the calculation is as follows:
- From 15 → to 30; From n → to 20. The value is only obtained by n = 15 x 20 / 30, giving a score of 10.
Turning a rating of 20 into a mark out of 40 and vice versa
To transform a 20-point evaluation into a 40-point scale, the principle of the conversion coefficient (40/20 = 2) is applied. So, to go from a mark out of 20 to a mark out of 40, simply use the multiplier by 2.
- For example, a score of 15 out of 20 becomes 30 out of 40.
On the other hand, to convert a mark out of 40 into a mark out of 20, it will be necessary to divide the mark by the same coefficient.
- Consequently, a score of 20 out of 40 will result in a score of 10 out of 20.
Now you have the key points to maintain in order to convert a score out of 20. Just apply these rules and you're done.
How do you score 50 out of 20?
Nothing could be simpler! To reduce a rating from 50 to 20, you need to :
Divide the score by 50 and then multiply by 20.
Example: If you scored 40/50, here's how to convert this score to 20:
40 : 50 = 0,8
0,8 x 20 = 16
The score out of 20 is therefore 16.
Convert a grade out of 20 with online grade converters?
If you don't want to complicate your life with these calculations, you can find note converters online. The result is fast and free of charge!
As a general rule, you only need to provide the score you want to bring back out of 20!
Why is the sur 20 system so common in France?
The 20-point grading system is widely used in France for its simplicity and clarity. It enables evaluation explains of student performance while offering an easy-to-understand scale. What's more, this system traditionally aligns grades with the percentage calculation, simplifying comparisons and average calculations. Finally, its long-standing use in schools and universities has created a familiar standard for students, teachers and parents alike.
A simple rule of three will give you a score out of 20. Are there any other calculations you're having trouble with? Feel free to add them in the comments.
Discover also whether there are mathematical methods for winning at the PMU !
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