A grade in education can mean either a teacher's evaluation of a student's work or a student's level of educational progress, usually one grade per year (often denoted by an ordinal number, such as the "3rd Grade" or the "12th Grade"). This article is about evaluation of students' work and various systems used in different countries.
Most universities evaluate classes with two mid exams and a final. The final exam encompasses the whole course syllabus whereas the mid exams usually take just half. In some schools, if the average grade of the two mid exams is equal to or higher than 7, the student passes the class without the need for a final exam (since there are only two exams, some teachers also pass students who average 6.5, others weigh in that decision the student's performance in class). An average of less than 4 is failing, the student doesn't even have the chance to take that final exam.
In High Schools, the year is divided into three trimesters and classes are usually year-long. The student needs an average of 6 or higher in the three trimestral exams to avoid having to take a final to pass the class. In the event of a student scoring less than 6 in the 3rd trimester he will have to take a final exam regardless of his average.
This last point is considered controversial since the last trimestral exam is not more important than the first two but the rule stands to prevent students that already reached the minimum average (e.g.: two 10 in the first two give you a lowest possible average of 6.33) from not making an effort the last three months of the year.
Most Australian tertiary institutions use close variations of the following grading structure:
Many courses also have Non-Graded Pass (NGP) and Non-Graded Fail (F), where it is considered more appropriate to have qualitative than quantitative assessment.
Grade point averages are not generally used in Australia below a tertiary level. They are calculated according to more complicated formula than some other nations:
Grade Point Average (GPA) = Sum of (grade points x course unit values)
Where grade points are as follows:
Where a course result is a Non-Graded Pass, the result will only be included if the GPA is less than 4, and will be assigned the grade point of 4, otherwise NGP results will be disregarded.
The term course unit values is used to distinguish between courses which have different weightings e.g. between a full year course and a single semester course.
The textual form of the grades is:
The "passing" grade is usually 10 (in contrast to the U.S. system)
For exact grading, two positions after the decimal point are used. Thus grades as e.g. Poor 2.50 or Excellent 5.75 are common. Every passing grade at or above the .50 mark is prefixed with the term of the higher grade. The minimum is 2.00, grades below 3.00 are failing grades, and the maximum is 6.00. Note that in Bulgaria the decimal digits are separated by a comma and not by a point (e.g. 5,75 instead of 5.75).
In Alberta:
In British Columbia:
In Ontario:
There is also '+' and '-' modifiers. A+ is close to 100% and better than A, A is better than A-, A- is better than B+. So on and so forth. There is no modifiers for R.
Qualifiers `+' and `–' are often used to add some degree of differentiation between the grades, eg. 4+ is better than 4 but a little worse than 5–. Grading varies greatly from teacher to teacher and tends to be entirely subjective even for courses that lend themselves to objective marking such as mathematics and applied sciences. Even though the grades technically range from 1 to 5, 1 is uncommon and is rarely given for academic reasons—in many cases a failure to show up for an exam or to answer any questions only results in a 2.
Students in these countries may be labeled by their teachers according to their average grade, the labels stemming from the respective digits. For example, someone with a 5-point average is a пятёрочник (m) (pronounced: pyatyorishnik, from Russian "5", пять (pyat'))/ пятёрочница (f) (pyatyorishnitsa), while someone with a 2-point average is a двоечник (m) (dvoeshnik, hard to see if you don't know Russian, but from Russian "2", два(dva))/двоечница (f) (dvoeshnitsa).
It's fair to mention that "1" is a very exotic grade in Russian schools. It is used rarely by some teachers in primary school. The four-point grading scale ("five" to "two")is employed in middle school and university. "Plus" and "minus" modifiers follow the same tendency: they are used rarely in middle school, and almost never in colleges or universities.
Ukraine had some invention in grading system after 2002, where grade lays in between 1 and 12 and is matched with 5-point grade system using next system:
In Hungary the 5-point grade system is used. There are only whole numbers in the report cards, but to grade exams, there are fractions (such as 3/4, which is between 3 and 4) also. Some teachers use lines above or under the numbers to draw a clearer distinction: 4, (4-minus) is worse than a 4 but better than a 3 or a 3' (3-plus); sometimes they even use multiple lines, such as 5,,. 1 is the only failing grade. When grading a student's attitude or diligence, only the grades 2-5 are used.
The grading system in Latvia and Lithuania has been changed to a 10-point grading system. 10 is the highest achievable grade, while 1 is awarded for extremely poor performance. The minimal passing grade is 4 (though some universities have a minimum passing grade of 5). The absence of any kind of performance is awarded with 'nv' (nav vērtējuma - no grade). Teachers in lower classes are encouraged to award one of two grades 'i' (ieskaitīts) for a passing grade and 'ni' (neieskaitīts) when the performance is not acceptable; however, the benefits of this system are questionable.
Romania uses a 10-point grading system. 10 is the highest achievable grade, and 5 is the minimal passing grade. A very poor performance is usually awarded a 3 or 4, while a 1 is often reserved for cases of academic dishonesty or some other unacceptable behavior.
At Poland's primary, middle and high schools a 1 to 6 point grade system is used, with 1 - fail, 2 - pass but very low performance, 3 - satisfactory, 4 - good, 5 - very good and 6 - above requirements (the student's knowledge exceeds what is taught). Until the 1990's, there was a 2 to 5 grade system with plus and minus marks, such as: 3- (passed but barely), or 4+ (between good and very good). Since the mid-90s, Polish primary and secondary schools expanded this system to include the sixth grade. At universities, a traditional four-point system is used; the grades are: 2.0 (fail), 3.0 (pass), 3.5, 4.0, 4.5, 5.0 (very good, the highest grade). Some universities use non-standard, additional 5.5 and 6.0 grades.
In the Czech Republic and Slovakia, primary and secondary schools use a 5-point grade system with 1 as the best and 5 as the worst. There are only whole numbers in the report cards, but tests or oral exams are often marked by additional distinctive signs: 3+ is slightly better than 3, 2- is slightly worse than 2, 1-2 or 1/2 means halfway between 1 and 2, and 1* means exceptionally excellent.
Universities use a 4-point grade system where 1 is the best and 4 means fail, or an expanded version of this: a six-grade system with half-grades between 1 and 2, and 2 and 3. The grades are then 1 (also A), 1.5 (B), 2 (C), 2.5 (D), 3 (E), and 4 (F, or fail).
Generally, it's a linear scale, with 1.0 meaning 0% achievement, 4.0 meaning 50% or 60% achievement (depending of the scale used), and 7.0 meaning 100% achievement. Rounding of averages is generally done to the second decimal; hence, a 3.95 is rounded up to a 4.0, whereas a 3.94 is rounded down to a 3.9.
For the Czech system, please see section on Central and Eastern Europe.
The current Danish gradation scale is called the 13-scale and consists of 10 grades ranging from 00 to 13, with 00 being the worst.
| Grade | Given for... | Notes |
|---|---|---|
| 00 | the completely unacceptable performance. | No equivalent |
| 03 | the very hesitant, imperfect and unsatisfactory performance. | Equals F or E (US system) |
| 5 | the hesitant and non-satisfactory performance. | Equals F or E (US System) |
| 6 | the somewhat hesitant but more or less satisfactory performance. | Equals D (US system) |
| 7 | the performance slightly below average. | Equals C (US system) |
| 8 | the average performance. | Equals B (US system) |
| 9 | the performance slightly above average. | Equals A (US system) |
| 10 | the excellent but somewhat routinized performance. | Equals A (US system) |
| 11 | the independent and excellent performance. | No real equivalent, perhaps A+ |
| 13 | the exceptionally independent and excellent performance. | No equivalent |
The gaps between 00 & 03, 03 & 5 and 11 & 13 are there to signify a larger difference between those grades. The leading 0 in 00 and 03 are used to prevent fraud with grades.
The highest grade 13 and the lowest grade 00 are the grades most rarely given.
00 is nearly impossible to achieve, presuming one knows even a single fact taught in that particular class, it is given for the truly incompetent performance. At exams, 00 is given to absentees.
13 is a fairly rare grade outside of exams and requires a performance way beyond the expected.
The average of grades given in Danish secondary schools in 2003 was 8.22.
| Grade | Description | "13-scale"-equivalent | ECTS-equivalent | |||
|---|---|---|---|---|---|---|
| −3 | entirely inadequate | 00 | F | |||
| 0 | inadequate | 5 | Fx | |||
| 2 | adequate | the minimum acceptable, minimum passing grade | 6 | E | ||
| 4 | fair | numerous considerable flaws | 7 | D | ||
| 7 | good | numerous flaws | 8 & 9 | C | ||
| 10 | excellent | few considerable flaws | 10 | B | ||
| 12 | outstanding | none or few unconsiderable flaws | 11 & 13 | A | ||
The "school grade" system has historically been a scale of 0 to 10, but all grades lower than 4 were discarded. Thus, it is divided between 4, the failing grade, and 5–10, the succeeding grades. Note the similarity to the grading scale used in Romania (click here for more).
In the individual exams, but not in the final results, it is also possible to divide the scale further with '½', which represents a half grade, and '+' and '–', which represent one-fourth a grade better or inferior. For example, the order is "9 < 9+ < 9½ < 10– < 10". The grade '10+' can also be awarded to represent perfect performance added with extra effort by the student.
The matriculation examination grades are similar to the above, but in Latin.
| Grade | Abbrv. | Gloss | Translation | Percentage of grades |
|---|---|---|---|---|
| laudatur | L | excellent | praised | Top 5% |
| eximia cum laude approbatur | E | excellent | accepted, with extraordinary commendations | 15% |
| magna cum laude approbatur | M | good | accepted, with many commendations | 20% |
| cum laude approbatur | C | satisfactory | accepted, with commendations | 24% |
| lubenter approbatur | B | satisfactory | readily accepted | 20% |
| approbatur | A | mediocre | accepted | 11% |
| improbatur | I | fail | disapproved | bottom 5% |
Five and six are both considered to be failing grades, though in earlier years students are not required to repeat classes with '5' grades if they perform well in other classes. Grades '1' to '5' can be suffixed with '+' and '-'. To calculate averages of suffixed grades, they are assigned fractioned values, where '1' is 1.0, '1-' is 1.3, '2+' is 1.7, '2' is 2.0, '2-' is 2.3 and so on. There is even the grade of '1+' or 0.7, which means more or less 'with distinction'. (But there is neither '6+' nor '6-' since '6' means null.)
As schools are governed by the states, not by the federal government, there are slight differences. Sometimes there is '1-' equal to 1.25, '1-2' = 1.5, '2+' = 1.75 and so on. And sometimes the grades are in tenth of a number, '1.0', '1.1', '1.2' and so on.
In school reports, only unmodified integer grades may be used; they are written in text form:
"In-between" grades such as '1-2', '2-3', '3-4' etc., which used to count as 1.5, 2.5 and so on, have largely been discontinued due to ambiguities when converting the averages back to integer values.
In the final classes of Gymnasiums the grades are converted to numbers ("points") in order to calculate the average for Abitur. In this case an '1+' exists (and counts as 15), '1' is 14, '1-' is 13, '2+' is 12, etc. up to '5-' is 1 and finally '6' is 0. Although 1+ exists in this system, "ultra-perfect" Abitur averages below 1.0 are NOT possible, even if one has got an '1+' in every subject. When the point system is used, 4 (5 points) is the lowest passing grade, and 4- (4 points) the highest failing grade.
For law students at German universities, a similar system is used that comprises one more grade that is inserted between 2 ("gut") and 3 "befriedigend," named "vollbefriedigend." This is due to the fact that the grades "gut" and "sehr gut" are extremely rare, so an additional grade was created below "gut" to increase differentiation. Every grade is converted into points very much like the Gymnasium system described above, starting at 18 points (excellent) down to 0 points (poor). 4 points is the lowest passing grade.
In converting German grades to the A-F scale, a 1 = A, ... 4 = D scale is often used (with 5 and 6 both converted to Fs) but this conversion is nearly never accurate, since, for example, a grade of '3' is usually more difficult to obtain in Germany than a 'B+' in the United States. In the U.S., students usually get an A if their score is greater than 90%. In Germany, students scoring more than 90% usually are in the 3 range. (The average grade in Germany is normally supposed to be around or a bit above 3, whereas in the US average grades are often supposed to be between 91% and 89%.)
For the conversion of Gymnasium grades, the following must be taken into account: Only 23% of the German population obtain the "Abitur - Allgemeine Hochschulreife" ("General Maturity for University"), implying that a 4.0 (passed) is applied to students within the best 23% of the population. Another 17-21% obtain a "Fachabitur" limiting their university choices to more application oriented studies at a "Fachhochschule" ("University of Applied Sciences") in a field they majored in for their "Fachabitur". Consequently, even a 4 ("pass") in a university exam is awarded to students within the top 23% (or top 40% for "Fachhochschule") group of the German population.
In former East Germany, a 5-point grading scale was used until July of 1991, where:
The textual form of the grades was:
This scale is identical to the current Austrian grading scale.
In German universities (besides the law schools) also the 1 to 5 scale for the grade (Note / Zensur) is used:
Often the grades are treated like an interval scale to calculate means and deviations for comparisons. Despite it lacks any psychometric standardization, the grading system is also used like a normal distributed statistical scale for norm-referenced assessments (with an expected value of 3 and a standard deviation of 1). So, transformations into other statistical measures like Percentiles, IQ, T, Stanine etc. are then possible, here e.g. a transformation into Percentiles and IQ:
This transformation into an IQ should not be applied, as the grade depends on memorizing skills as well as work organization skills, time invested into studying and personal motivation far more than on a student's IQ. Also, substantially more than 2% of German students at universities fail in an exam (usually about 10-40%, in very rare cases at technical universities up to 98% fail an individual exam as they first try and know they are entitled to a second chance). A person with an IQ of over 130 can easily end up with a grade of 3.7 in an individual exam and with an average of 2.5, both at Gymnasium and at university. Grades awarded vary widely between fields of study and between universities/schools.
Sometimes, esp. with a Dr.phil. (D.Phil. / Ph.D.) also the Latin versions are used for the grading (here then the grade (Note / Zensur) is called "Prädikat"):
There is no grade for failing then, because in that case the dissertation is just formally rejected, without any kind of grading.
Common grading point:
A+ = 4.30
A = 4.00
A- = 3.70
B+ = 3.30
B = 3.00
B- = 2.70
C+ = 2.30
C = 2.00
C- = 1.70
D+ = 1.30
D= 1.00
F= 0.0
Definitions:
Grade A : Excellent
Grade B : Good
Grade C : Adequate
Grade D : Marginal pass
Grade F : Fail
Hong Kong Certificate of Education Examination and Hong Kong Advanced Level Examination
Results of the Hong Kong Certificate of Education Examination(HKCEE) and Hong Kong Advanced Level Examination (HKALE) are expressed in terms of six grades A - F, of which grade A is the highest and F the lowest. Results below grade F are designated as unclassified (UNCL).
Common grade Definition of HKCEE and HKALE recognized by the general public
Grade A: Distinction
Grade B: Credit
Grade C: Credit
Grade D: Pass
Grade E: Pass
Grade F: Failed
UNCL: Unclassified
- Grade C or above in a HKCEE subject is recognised as equivalent to an O-level pass. (grade C or better) in an overseas GCE examination. But Grade E in HKCEE is commonly recognized as a pass for most employers and education institutes in Hong Kong.
- Grade E or above in HKALE subject is recognised as equivalent to a pass (Grade E or above) in a British oversea GCE examination.
For the Hungarian system, please see section on Central and Eastern Europe.
There are several universities and recognized school boards in India which makes an objective comparison of percentage grades awarded by one examination difficult with those for another, even for an examination at the same level. At the school level percentages of 80-90 are considered excellent while above 90 is exceptional and uncommon. At the university level however percentages between 70-80 are considered excellent and are quite difficult to obtain. It should be pointed out that the percentage of marks at university vary from one to another which makes direct comparison of percentages obtained at different universities difficult.
Nepal: Division I- 60% or higher Division II- 48% or higher Division III- 32% or higher Fail-less than 32%
Students in the IB Diploma Programme are graded in six subjects for a total of 42 points, and the possible three points which are awarded for the Theory of Knowledge subject and the Extended Essay bring the maximum up to 45. For the diploma to be awarded students must accumulate at least 24 points, and there are restrictions on the number of grades below 4 which are tolerated. This requires an average grade of 4, but in some cases a grade of 3 or 2 can be compensated by a grade of 5 or better in an other subject, or by bonus points from good performance on the Extended Essay and/or Theory of Knowledge. In admission to university programs, the IB grades are often converted to a local or national assessment system by some appropriate formula.
Anything below 40% is considered a failing grade and is awarded an 'E' (40% - 25%) or 'F' (25% - 10%) grade. Any score below 10% is classed as 'NG' or 'No Grade'. At Higher Level a 'C' grade and above is considered an 'Honor' grade. For some purposes the grade letter ranges are further sub-divided from 15% ranges to 5% ranges yielding grades A+, A, A-, B+, B, B-, etc. (or A1, A2, B1, B2, B3...).
Leaving Certificate results are measured by the number of 'points' awarded to the student. It is usually the amount of points awarded to the student that forms the basis for the student's acceptance or otherwise into a course of higher education (e.g. a university degree course). A number of points between 0 and 100 are awarded to the student for each Leaving Certificate exam sat. The student then combines the points from his or her six top scoring exams giving a final total score between 0 and 600. The number of points awarded for a particular grade depend on whether the student sat the exam for the 'Higher Level' course or the 'Ordinary Level' course. The number of points awarded for each grade at the two levels are as follows:
| Grade | Percentage Range | Points at Higher Level | Points at Ordinary Level |
| A1 | 100% - 90% | 100 | 60 |
| A2 | 89% - 85% | 90 | 50 |
| B1 | 84% - 80% | 85 | 45 |
| B2 | 79% - 75% | 80 | 40 |
| B3 | 74% - 70% | 75 | 35 |
| C1 | 69% - 65% | 70 | 30 |
| C2 | 64% - 60% | 65 | 25 |
| C3 | 59% - 55% | 60 | 20 |
| D1 | 54% - 50% | 55 | 15 |
| D2 | 49% - 45% | 50 | 10 |
| D3 | 44% - 40% | 45 | 5 |
Anything below a D3 is considered a failing grade, and no points are awarded.
The grading scale is as follows: 10 or 95-100 = מצוין (execllent) 9 or 85-94 = טוב מאוד (very good) 8 or 75-84 = טוב (good) 7 or 65-74 = כמעט טוב (almost good) 6 or 55-64 = מספיק (sufficient) 5 or 45-54 = מספיק בקושי (hardly sufficient) <4 or <44 = בלתי מספיק/נכשל (insufficient/failed)
In high school a 10-point scale is used , being 6 the minimum grade for passing. Specifications such as + and -, half grades, and grades like 6/7 are often used. Note that the grades used in primary school are derived from this scale, with Non Sufficiente meaning "5 and under", and the other grades standing respectively for 7, 8, 9, 10. The standard in giving grades depends a lot from school to school and in particular from the North (usually higher level) and the South of Italy (often lower level). A 10 is very rare to score, as well as a 1. An 8 is usually considered an excellent grade. The average grade goes between 6 and 7.
Universities in Italy use a 30-point scale simply divided in two, non passing (0 to 17 points), and passing grades (18 to 30 points), for ordinary exams, and a 110-point scale, divided in two as well, being 66 the minimum grade for passing. Engineering schools ( Politecnici ) have a 100-point scale, being 60 the minimum grade for passing. For outstanding results the Lode "praise", is added at the maximum grade.
Students who fail a subject have the option of taking an extraordinary test (examen extraordinario, often shortened to extra) that evaluates the contents of the entire period. Once the test is finished and the score is asessed, this score become the entire subject's score, thus giving slacking students a chance to pass their subjects. Those who fail the extraordinary test have 2 more chances to take it; if the last test is failed, the subject is marked as failed and pending, and depending on the school, the student might fail the entire year. As a result, the extraordinary tests often cause a lot of stress among students, because they have to study for the entire period often in a couple of weeks.
Depending on the grade, several honors are available: total average of grades 8 with no grade under 7 and finishing in time: cum laude. For an average better than 7, but not meeting the criteria for cum laude, met genoegen (with pleasure), is sometimes awarded. This honor system is typically only used at universities.
Usually 5.5 and up constitute a pass whereas 5.4 and below constitute a fail. If no decimal places are used, 6 and up is a pass and 5 and below a fail. Sometimes, when no decimal place is used, an additional grade, 6-, is used as "barely passed". This is what would have been a 5.5 if a decimal place was used.
A description (in Dutch) of the grading system in Dutch schools can be found at http://nl.wikipedia.org/wiki/Cijfer#Schoolcijfers
| Official Name | Common Name | Meaning |
|---|---|---|
| Achievement with excellence | Excellence / E | The candidate has demonstrated in depth understanding of the material tested |
| Achievement with merit | Merit / M | The candidate has met the criteria of the standard which demonstrates substantial knowledge of the material tested |
| Achievement | Achieved / A | The candidate met the criteria of the standard to a level which demonstrates adequate understanding of the material tested |
| Not achieved | Not achieved / NA | Fail |
| Grade | Percentage | Grade Value | Averaged GPA |
|---|---|---|---|
| A+ | 90-100 | 9 | 8.5-9 |
| A | 85-89 | 8 | 7.5-8.49 |
| A- | 80-84 | 7 | 6.5-7.49 |
| B+ | 75-79 | 6 | 5.5-6.49 |
| B | 70-74 | 5 | 4.5-5.49 |
| B- | 65-69 | 4 | 3.5-4.49 |
| C+ | 60-64 | 3 | 2.5-3.49 |
| C | 55-59 | 2 | 1.5-2.49 |
| C- | 50-54 | 1 | 0.5-1.49 |
| D | 0-49 | 0 | 0-0.49 |
The formerly most common system of grades used at university level was based on a scale running from 1.0 (highest) through 6.0 (lowest), 4.0 being the lowest passing grade.
The way the new Bologna system was introduced implies that students who had started their studies while the old system still was in effect will graduate with transcripts containing grades from both systems (i.e. both numbers and letters).
Lower levels of education use a scale running from 0 through 6, with 6 being the highest and 2 the lowest passing grade. For non-final tests and mid-term evaluations the grades are often postfixed with + or - (except 6+ and 0-) and it is also common to use grades such as 5/6 or 4/3 indicating borderline grades. The grading scale looks like this:
A student who has a Cumulative Grade Point Average (CGPA) of 3.0 is entitled to graduate With Honors. Those earning a CGPA from 3.4 to 3.599, Cum Laude, from 3.6 to 3.799, Magna Cum Laude, and from 3.8 above, Summa Cum Laude.
For other schools (e.g. the University of the Philippines), a reverse 5.0 scale is used with 1.0 the highest, 3.0 passing and 5.0 a failure.
For Some schools they have reversed Grade system ( e.g Lyceum NorthWestern University)
Express and Special stream students are graded along the “Overall Grade” grading system for the first 3 academic years in their secondary schools, and then graded along the “‘O’ Levels” grading system in their final secondary school year (year 4). Normal (Academic) students are graded for first 3 academic years and the ‘N’ Levels year (year 4), and subsequently graded along the “’O’ Levels” grading system in their final secondary school year (year 5). Normal (Technical) stream students are graded along the “Overall Grade” grading system throughout their entire education in secondary schools.
Non-academic subjects like Religious Knowledge, Civic & Moral Education and Music are graded with an alphabetical grading system of A, B, C or D.
The grades from ‘O’ Levels will subsequently be collated into an array of combined scores that will deem the eligibility of an ‘O’ Levels students for higher education in a junior college, centralised institute, polytechnic or other private higher institution. These scores are grouped in language and relevant subjects, hence the term “L1R4” for centralised institutes, polytechnics and other private institutions; “L1R5” for junior colleges, which stands for 1 language & 4 relevant subjects for “L1R4”, and 1 language & 5 relevant subjects for “L1R5”.
‘O’ Levels combined scores of “L1R4” and “L1R5” and determined by adding up all of the grades’ point allocation; A1 is considered 1 point, C6 is considered 6 points and likewise, F9 is considered 9 points. The “language subject component” will be the compulsory first language of the student, which in Singapore; all students are to take the English language as their first language. The “relevant subjects component” will be either Science-related subjects (Physics, Chemistry, Biology), Mathematics, Mother Tongue or Elective subjects (Art & Design, Music, Design & Technology, Food & Nutrition).
Note: Lower combined score is considered better off than higher combined score, e.g.: L1R4 = 10 points is better than L1R4 = 20 points.
For illustration, if an ‘O’ Levels student scored A1s for English Language, Mathematics, Social Studies and A2s for Physics, Chemistry, Biology and Art & Design and C6 for Mother Tongue:
English Language (compulsory: language subject component): A1 = 1 point Mathematics (compulsory; relevant subjects component): A1 = 1 point Social Studies (optional; relevant subjects component): A1 = 1 point Physics (optional; relevant subjects component): A2 = 2 points Chemistry (optional; relevant subjects component): A2 = 2 points Biology (optional; relevant subjects component): A2 = 2 points Art & Design (optional; relevant subjects component): A2 = 2 points Mother Tongue (compulsory; relevant subjects component): C6 = 6 points
For centralised institute, “L1R4” for enrolment is required. That includes the compulsory subjects of English Language, Mathematics and Mother Tongue, and 2 more relevant subjects that students can choose from their result slips, which often occur to be their 2 best-scored subjects. In this hypothetical case, this student is more than eligible to enrol into a centralised institute. The “L1R4” for this student will be English Language (1 point) + Mathematics (1 point) + Mother Tongue (6 points) + Social Studies (1 point) + Physics (2 points) = 11 points. Centralised institute requires students to score L1R4 20 points and below to be enrolled.
For junior colleges, “L1R5” for enrolment is required, and students are required to score below 20 points to be enrolled. Junior colleges enrolment also includes the compulsory subjects of English Language, Mathematics and Mother Tongue, but 3 more relevant subjects. The “L1R5” for this student will be English Language (1 point) + Mathematics (1 point) + Mother Tongue (6 points) + Social Studies (1 point) + Physics (2 points) + Chemistry (2 points) = 13 points. Junior colleges admission criteria differ from colleges to colleges. Minimum requirement for neighbourhood junior colleges are L1R5 below 20 points, while certain elitist junior colleges require L1R5 6 points and below.
In addition, students offering Special Papers (offered for the last time in 2006) will be awarded either 1 (Distinction), 2 (Merit), or U (Unclassified). Grades 1 and 2 may only be awarded with a grade E and above in the main A level paper. Grade U will be awarded if a candidate fails to achieve at least a grade E in the main subject paper, and will not be reflected in the A level result cerificate.
Different JCs have different expectations and thus, the school reserves the discretion to moderate the marks when deemed necessary. For example, some JCs may regard 50% as the passing mark instead of 45% by others.
Note: "AO" level grades at Junior College level follows the "O" level system above.
All percentages with their corresponding grades shown here are just approximate guidelines because ultimately at the end of all major examinations (Primary School Leaving Examinations or PSLE in short, GCE "N", "O" and "A" Levels) the Ministry of Education, Singapore, will moderate the results. Hence, an "A" grade for instance may no longer be at 75%. It could possibly be 73% or even 77% depending on the performance of the cohort. This is usually done to prevent grade inflation.
In addition, some schools are also offering the International Baccalaureate diploma program.
For the Slovak system, please see section on Central and Eastern Europe.
In universities a ten-point grading scale is used, where:
In Spain there is a ten-point grading scale used in elementary schools and high schools, where:
In universities, the scale is retained, but 6 is no longer called "bien". Instead, 5-6 is called "suficiente".
When grading tests, the following limits are sometimes used:
Until 1994 relative grades on the scale 1, 2, 3, 4, 5 were used. The scale was intended to have a national average of 3 and a standard deviation of 1, where 5 was the highest grade.
Up until 1962 yet another scale was used:
A was the highest grade, but rarely given.
Universities (such as Stockholm University), with some exceptions, use the grading:
Many of these univerities are in a transition phase towards the ECTS credit system with an A to F grading, where A is the highest, following the Bologna process.
The Stockholm School of Economics uses:
Engineering colleges and universities such as KTH or Chalmers use a truncated five-point numeric scale, where 5 is the highest possible grade:
School of Economics and Commerce Law, Gothenburg University uses the same system as Stockholm University:
Every grade below 4 is a failing grade, so a '3.9' is considered insufficient. In exams, quarter steps are usually used to indicate grades in between integer grades, for example '5.25'. Sometimes, finer grained systems are used with steps of one tenth. This is often the case in exams where the grade is a linear function of the number of achieved points (Grade = achieved_point/max_points*5 + 1). In certificates, grades are either rounded to integers or to half integers. After having rounded the individual grades, a weighted mean is used to calculate the overall result. The weight of a grade is normally proportional to the number of hours the according subject was taught per week. To pass a year, this overall result needs to be sufficient. Sometimes further conditions need to be fulfilled, such as a maximum allowed number of grades below four. At university level, classes can often be repeated individually in case of an insufficient grade, so not the whole year or semester needs to be repeated.
In a typical exam, the average result will be somewhat above 4 with a variance between 0.5 and 1. This of course varies depending on the kind of exam, the tested class, the school level, the region, the teacher and other factors.
Since education is in the responsibility of the cantons (except for the federal universities), grading notations may differ depending on the region. In some regions, '+' and '-' are used to indicate marks below or above an integer. Sometimes the '-' is used to indicate a better grade if it stands after the grade and a lower grade if it stands before the grade (in which case '-' is a symbol for "bis" 'to' rather than 'minus'), for example '-5' is lower than '5' which is lower than '5-' in that system.
At university level, Latin expressions are used in some cases. The lain grades for a passed final exam in law at the University of Zurich for example are "summa cum laude" (excellent), "magna cum laude" (very good), "cum laude" (good) and "rite" (sufficient).
The whole of the United Kingdom does not use the same grading ("marking") scheme.
Scotland's education system uses the following structure:
General level
Foundation level
It should now be noted that Scotland is moving on from the old System, and now uses the Higher Still Programme, which is Part of the National Qualifications Package. These are as follows:
The Intermediate 1 Grading is equivalent to Standard Grade General Pass, Intermediate 2 Grading is equivalent to Standard Grade Credit, Highers are equivalent to the old Highers whilst Advanced Highers are equivalent to the old CSYS.
Most Secondary Schools have moved to this new system, however there are still some schools that use the old System of Standard Grades.
Any lower standard of work will simply result in the failing of an exam, which is not graded.
NOTE: Grade % Averages are estimates
NOTE: Grade % Averages are estimates
Classical five-point discrete evaluation is the system most commonly used in the United States, but there are many variations. There are also a few schools, colleges and universities that eschew discrete evaluation (letter grading) in favor of pure discursive evaluation.
Here is a common example of an American quality index, showing letter grade, qualitative definition and correlative quantitative value.
Percentage ranges may vary from one school to another. In some schools, these ranges may even vary from one class to another.
Whether the failing grade is E or F typically depends on time and geography. Some states, but not many, tend to favor E since World War II while the majority of the country still tend to use F. Ultimately, the grade F traces to the days of two-point grading as Pass (P) and Fail (F).
In schools, the grade point average is computed by multiplying the summing the quantitative values (4.0, etc.) and dividing the total by the number of factors. In colleges and universities that use discrete evaluation, the grade point average is calculated by multiplying the quantitative values by the credit value of the correlative course, and then dividing the total by the sum of all credits.
For example:
| Class | Credits | Grade | Grade Points |
| Speech 101 | 2 | A | 2 x 4.0 = 8.0 |
| Biology 102 | 4 | B+ | 4 x 3.3 = 13.2 |
| History 103 | 3 | B- | 3 x 2.7 = 8.1 |
| Physical Education 104 | 1 | C | 1 x 2.0 = 2.0 |
Chromatic variants (+ and -) are often used. In hypomodal grading on a 100 point scale, the prime letter grade is assigned a value of X5, the + grade is assigned the top value of X9 and the - grade is assigned the bottom value of X0. Thus, 87 to 89 is B+, 83 or 84 to 86 is B, and 80 to 82 or 83 is B-. In straight modal grading on a 4.0 decimal scale, the prime number is the prime letter grade. The + range of the grade begins at X.333 (repeating), rounded to X.30, above the prime number. The - range of the grade begins at X.666 (repeating), rounded up to X.70, below the prime number. Thus, B = 3.0, B+ = 3.3, and B- = 2.7.
Teachers in grade schools and high schools are also allowed to record individual exam results with grades such as "3+" or "5-" or "3/4" which indicate varying ambiguities, but final grades at the end of the year need to be one of the basic five. An arithmetic mean is usually calculated, with X.45 being the threshold.
Degree grades:
Educational assessment and evaluation | Evaluation methods | Academic transfer
Karakter (bedømmelse) | Schulnote | Karaktersystemer i Norge | Karakter | Szkolna skala ocen | Betyg
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It uses material from the
"Grade (education)".
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