Universidad Politecnica de Madrid GPA Calculator

Universidad Politecnica de Madrid grading at a glance

Grading scale: Spanish 0-10 numeric grade scale
Scale range: 0.0 to 10.0 — a higher number is a better grade
Grades that carry points: 102 grades count toward the GPA, plus 3 administrative grades that do not
Best possible grade: 10.0 (10.0 points)
Lowest passing grade: 5.0 (5.0 points) — the weakest grade that still earns credit
Failing grades: 4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 — counted in the GPA but earning no credit
Semester GPA rounding: Rounded to the nearest 2 decimal places
Cumulative GPA rounding: Rounded to the nearest 2 decimal places
Credit hours per course: 0.0 to 120.0, in steps of 0.5
Pass/fail courses: Supported (P and RC) and excluded from the GPA
Zero-credit courses: Allowed, but they do not move the GPA
Repeated courses: Needs manual review
Percentage bands published: Yes — 102 grades map to a mark range
Grading data last verified: 2026-07-21

Universidad Politecnica de Madrid grading scale

Every grade Universidad Politecnica de Madrid awards, the points it carries, and whether it counts toward the GPA or earns credit. This is the table the calculator above runs on.

Universidad Politecnica de Madrid grade points, GPA inclusion and credit rules
Grade	Meaning	Mark range	Points	GPA counted	Credit earned
0.0	Suspenso / fail	0–0%	0.0	Yes	No
0.1	Suspenso / fail	0.1–0.1%	0.1	Yes	No
0.2	Suspenso / fail	0.2–0.2%	0.2	Yes	No
0.3	Suspenso / fail	0.3–0.3%	0.3	Yes	No
0.4	Suspenso / fail	0.4–0.4%	0.4	Yes	No
0.5	Suspenso / fail	0.5–0.5%	0.5	Yes	No
0.6	Suspenso / fail	0.6–0.6%	0.6	Yes	No
0.7	Suspenso / fail	0.7–0.7%	0.7	Yes	No
0.8	Suspenso / fail	0.8–0.8%	0.8	Yes	No
0.9	Suspenso / fail	0.9–0.9%	0.9	Yes	No
1.0	Suspenso / fail	1–1%	1.0	Yes	No
1.1	Suspenso / fail	1.1–1.1%	1.1	Yes	No
1.2	Suspenso / fail	1.2–1.2%	1.2	Yes	No
1.3	Suspenso / fail	1.3–1.3%	1.3	Yes	No
1.4	Suspenso / fail	1.4–1.4%	1.4	Yes	No
1.5	Suspenso / fail	1.5–1.5%	1.5	Yes	No
1.6	Suspenso / fail	1.6–1.6%	1.6	Yes	No
1.7	Suspenso / fail	1.7–1.7%	1.7	Yes	No
1.8	Suspenso / fail	1.8–1.8%	1.8	Yes	No
1.9	Suspenso / fail	1.9–1.9%	1.9	Yes	No
2.0	Suspenso / fail	2–2%	2.0	Yes	No
2.1	Suspenso / fail	2.1–2.1%	2.1	Yes	No
2.2	Suspenso / fail	2.2–2.2%	2.2	Yes	No
2.3	Suspenso / fail	2.3–2.3%	2.3	Yes	No
2.4	Suspenso / fail	2.4–2.4%	2.4	Yes	No
2.5	Suspenso / fail	2.5–2.5%	2.5	Yes	No
2.6	Suspenso / fail	2.6–2.6%	2.6	Yes	No
2.7	Suspenso / fail	2.7–2.7%	2.7	Yes	No
2.8	Suspenso / fail	2.8–2.8%	2.8	Yes	No
2.9	Suspenso / fail	2.9–2.9%	2.9	Yes	No
3.0	Suspenso / fail	3–3%	3.0	Yes	No
3.1	Suspenso / fail	3.1–3.1%	3.1	Yes	No
3.2	Suspenso / fail	3.2–3.2%	3.2	Yes	No
3.3	Suspenso / fail	3.3–3.3%	3.3	Yes	No
3.4	Suspenso / fail	3.4–3.4%	3.4	Yes	No
3.5	Suspenso / fail	3.5–3.5%	3.5	Yes	No
3.6	Suspenso / fail	3.6–3.6%	3.6	Yes	No
3.7	Suspenso / fail	3.7–3.7%	3.7	Yes	No
3.8	Suspenso / fail	3.8–3.8%	3.8	Yes	No
3.9	Suspenso / fail	3.9–3.9%	3.9	Yes	No
4.0	Suspenso / fail	4–4%	4.0	Yes	No
4.1	Suspenso / fail	4.1–4.1%	4.1	Yes	No
4.2	Suspenso / fail	4.2–4.2%	4.2	Yes	No
4.3	Suspenso / fail	4.3–4.3%	4.3	Yes	No
4.4	Suspenso / fail	4.4–4.4%	4.4	Yes	No
4.5	Suspenso / fail	4.5–4.5%	4.5	Yes	No
4.6	Suspenso / fail	4.6–4.6%	4.6	Yes	No
4.7	Suspenso / fail	4.7–4.7%	4.7	Yes	No
4.8	Suspenso / fail	4.8–4.8%	4.8	Yes	No
4.9	Suspenso / fail	4.9–4.9%	4.9	Yes	No
5.0	Aprobado / pass	5–5%	5.0	Yes	Yes
5.1	Aprobado / pass	5.1–5.1%	5.1	Yes	Yes
5.2	Aprobado / pass	5.2–5.2%	5.2	Yes	Yes
5.3	Aprobado / pass	5.3–5.3%	5.3	Yes	Yes
5.4	Aprobado / pass	5.4–5.4%	5.4	Yes	Yes
5.5	Aprobado / pass	5.5–5.5%	5.5	Yes	Yes
5.6	Aprobado / pass	5.6–5.6%	5.6	Yes	Yes
5.7	Aprobado / pass	5.7–5.7%	5.7	Yes	Yes
5.8	Aprobado / pass	5.8–5.8%	5.8	Yes	Yes
5.9	Aprobado / pass	5.9–5.9%	5.9	Yes	Yes
6.0	Aprobado / pass	6–6%	6.0	Yes	Yes
6.1	Aprobado / pass	6.1–6.1%	6.1	Yes	Yes
6.2	Aprobado / pass	6.2–6.2%	6.2	Yes	Yes
6.3	Aprobado / pass	6.3–6.3%	6.3	Yes	Yes
6.4	Aprobado / pass	6.4–6.4%	6.4	Yes	Yes
6.5	Aprobado / pass	6.5–6.5%	6.5	Yes	Yes
6.6	Aprobado / pass	6.6–6.6%	6.6	Yes	Yes
6.7	Aprobado / pass	6.7–6.7%	6.7	Yes	Yes
6.8	Aprobado / pass	6.8–6.8%	6.8	Yes	Yes
6.9	Aprobado / pass	6.9–6.9%	6.9	Yes	Yes
7.0	Notable / good	7–7%	7.0	Yes	Yes
7.1	Notable / good	7.1–7.1%	7.1	Yes	Yes
7.2	Notable / good	7.2–7.2%	7.2	Yes	Yes
7.3	Notable / good	7.3–7.3%	7.3	Yes	Yes
7.4	Notable / good	7.4–7.4%	7.4	Yes	Yes
7.5	Notable / good	7.5–7.5%	7.5	Yes	Yes
7.6	Notable / good	7.6–7.6%	7.6	Yes	Yes
7.7	Notable / good	7.7–7.7%	7.7	Yes	Yes
7.8	Notable / good	7.8–7.8%	7.8	Yes	Yes
7.9	Notable / good	7.9–7.9%	7.9	Yes	Yes
8.0	Notable / good	8–8%	8.0	Yes	Yes
8.1	Notable / good	8.1–8.1%	8.1	Yes	Yes
8.2	Notable / good	8.2–8.2%	8.2	Yes	Yes
8.3	Notable / good	8.3–8.3%	8.3	Yes	Yes
8.4	Notable / good	8.4–8.4%	8.4	Yes	Yes
8.5	Notable / good	8.5–8.5%	8.5	Yes	Yes
8.6	Notable / good	8.6–8.6%	8.6	Yes	Yes
8.7	Notable / good	8.7–8.7%	8.7	Yes	Yes
8.8	Notable / good	8.8–8.8%	8.8	Yes	Yes
8.9	Notable / good	8.9–8.9%	8.9	Yes	Yes
9.0	Sobresaliente / excellent	9–9%	9.0	Yes	Yes
9.1	Sobresaliente / excellent	9.1–9.1%	9.1	Yes	Yes
9.2	Sobresaliente / excellent	9.2–9.2%	9.2	Yes	Yes
9.3	Sobresaliente / excellent	9.3–9.3%	9.3	Yes	Yes
9.4	Sobresaliente / excellent	9.4–9.4%	9.4	Yes	Yes
9.5	Sobresaliente / excellent	9.5–9.5%	9.5	Yes	Yes
9.6	Sobresaliente / excellent	9.6–9.6%	9.6	Yes	Yes
9.7	Sobresaliente / excellent	9.7–9.7%	9.7	Yes	Yes
9.8	Sobresaliente / excellent	9.8–9.8%	9.8	Yes	Yes
9.9	Sobresaliente / excellent	9.9–9.9%	9.9	Yes	Yes
10.0	Matricula de Honor / distinction	10–10%	10.0	Yes	Yes
MH	Matricula de Honor / distinction	10–10%	10.0	Yes	Yes
P	Apto / pass	—	Excluded	No	Yes
NP	No presentado / not assessed	—	Excluded	No	No
RC	Recognised credit without numeric mark	—	Excluded	No	Yes

How the Universidad Politecnica de Madrid GPA formula works

Universidad Politecnica de Madrid converts every graded course into quality points by multiplying the grade's point value by the course's credit hours. Your semester GPA is the total quality points divided by the total credit hours that count toward the GPA, and the result is rounded to the nearest 2 decimal places. Points run from 0.0 up to 10.0, so a higher average is a better result. The scale has no plus/minus steps, so every grade in a band is worth exactly the same number of points.

What gets left out of the average

P, NP, and RC carry no point value at Universidad Politecnica de Madrid, so a course marked with one of them drops out of the division entirely — it changes neither the top nor the bottom of the fraction. P and RC still earn credit toward your degree while staying out of the GPA, which is why your credit total can climb in a semester where your GPA barely moves. 4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 work the other way: they earn no credit but are still counted in the average at 4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 points respectively, so a failed course pulls the average down while adding nothing to your progress.

How this semester rolls into your CGPA

UPM official calls state the average is calculated as graded credits, including passed and failed graded credits, multiplied by the 0-10 marks and divided by total graded credits; no-show and ungraded recognition are excluded. In practice that means your existing CGPA is turned back into quality points by multiplying it by your completed credits, this semester's quality points are added on, and the total is divided by your new credit total. Both the semester and the cumulative figures are rounded to the nearest 2 decimal places. Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog.

How Universidad Politecnica de Madrid compares with other Spain universities

All 11 Spain universities covered here — including Universidad Autonoma de Madrid, Universitat de Valencia, Universitat Politecnica de Catalunya and 7 others — publish the same Spanish 0-10 numeric grade scale. On the published rules this calculator uses, Universidad Politecnica de Madrid's grading is equivalent to theirs: the same point values, the same rounding, and the same repeat policy. Where they genuinely differ is in the source material behind each configuration and the caveats recorded with it, which are listed further down this page. The pass mark on this scale is 5.0.

A GPA only means something alongside the scale it was calculated on, which is why comparing raw numbers between institutions — even neighbouring ones — is unreliable. See the Spain comparison table for every university covered there side by side.

Converting this GPA to a 4.0 scale

Universidad Politecnica de Madrid does not grade on the US 4.0 scale. Its scale runs to 10.0 rather than 4.0, with 102 point values in use and 5.0 as the lowest passing mark. There is no single correct formula for converting that into a 4.0 GPA, and GPAWorld deliberately does not publish one: every graduate school, employer and credential evaluator applies its own conversion table, and a number invented here could cost you an application. Calculate your GPA on this page using the real Universidad Politecnica de Madrid scale, then let the institution you are applying to convert it with their table.

Worked examples

Each example below is run through the same engine the calculator uses, so the numbers show Universidad Politecnica de Madrid's own rounding.

A typical graded semester

A student sitting at 7.20 after 60 completed credits takes 3 courses worth 3 credits each.

Core course3 credits × 10.0 (10.0 points)
Elective3 credits × 9.9 (9.9 points)
Lab or seminar3 credits × 9.7 (9.7 points)

Semester GPA 9.87 · Updated CGPA 7.55

The semester total is 88.8 quality points over 9 counted credits. Because the cumulative average now spans 69 credits, one semester moves it only a little — this is why a CGPA gets harder to shift the further into a degree you are.

Adding a course graded P

The same student adds a fourth 3-credit course graded P (Apto / pass).

Core course3 credits × 10.0 (10.0 points)
Elective3 credits × 9.9 (9.9 points)
Lab or seminar3 credits × 9.7 (9.7 points)
Apto / pass course3 credits × P (no grade points)

Semester GPA 9.87 · Updated CGPA 7.55

The semester GPA is unchanged at 9.87. P carries no grade points at Universidad Politecnica de Madrid, so the course is removed from both sides of the division — even though the credit still counts toward the degree. Students often expect a fourth course to move the average and are surprised when it does not.

What one 4.9 costs

The same semester again, but the last course comes back as 4.9 (Suspenso / fail) instead.

Core course3 credits × 10.0 (10.0 points)
Elective3 credits × 9.9 (9.9 points)
Failed course3 credits × 4.9 (4.9 points)

Semester GPA 8.27 · Updated CGPA 7.34

The semester GPA slips from 9.87 to 8.27, and the cumulative average slips from 7.55 to 7.34. 4.9 is worth 4.9 points and earns no credit, so it weighs the average down while adding nothing to your degree progress.

What this semester does to your CGPA

A student with a 7.20 CGPA after 60 credits takes 4 courses worth 3 credits each (12 credits in total). Here is where that CGPA lands if every course comes back at the same grade — calculated with the Universidad Politecnica de Madrid scale and rounding.

Projected Universidad Politecnica de Madrid CGPA after a 12-credit semester
If every course is	Semester GPA	New CGPA	Movement
10.0 (10.0)	10.00	7.67	+0.47 (better)
8.1 (8.1)	8.10	7.35	+0.15 (better)
6.1 (6.1)	6.10	7.02	−0.18 (worse)
4.1 (4.1)	4.10	6.68	−0.52 (worse)
2.1 (2.1)	2.10	6.35	−0.85 (worse)

Your own starting CGPA and completed credits will differ — enter them in the calculator above for your real figure.

Common mistakes when calculating your Universidad Politecnica de Madrid GPA

These are the places where the Universidad Politecnica de Madrid rules differ from what most students assume, and where a hand calculation usually goes wrong.

Counting P and RC courses in the average
These earn credit at Universidad Politecnica de Madrid but carry no grade points, so they belong in your credit total and nowhere near the GPA division. Including them is one of the most common reasons a hand-calculated GPA comes out wrong.
Dropping a failed course from the calculation
4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 earn no credit toward the degree, but they are still counted in the GPA at 4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 points. Leaving a failure out flatters the result.
Borrowing plus/minus values from another university
The Universidad Politecnica de Madrid table has no plus or minus steps — every grade in a band is worth the same points. Intermediate values like 3.3 or 3.7 do not exist on this scale.
Averaging the grades instead of weighting them
A course worth twice the credits moves your GPA twice as much. Adding up your grade points and dividing by the number of courses ignores that weighting and is almost always wrong.
Expecting a 0-credit course to move the number
Universidad Politecnica de Madrid allows them, but with no credit hours they contribute nothing to either side of the division.
Handling a retake by guesswork
Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog. Check the current catalog before assuming an old grade has left your record.

Universidad Politecnica de Madrid GPA — frequently asked questions

What is a passing grade at Universidad Politecnica de Madrid?

5.0 (5.0 points) is the weakest grade in the Universidad Politecnica de Madrid table that still earns credit. Anything below it — 4.9, 4.8, 4.7, 4.6, 4.5, 4.4, 4.3, 4.2, 4.1, 4.0, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 3.3, 3.2, 3.1, 3.0, 2.9, 2.8, 2.7, 2.6, 2.5, 2.4, 2.3, 2.2, 2.1, 2.0, 1.9, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 1.0, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, and 0.0 — is counted in your GPA but earns no credit toward the degree. Individual programmes can set a higher minimum for courses in your major, so check your programme handbook as well.

What is the best GPA you can get at Universidad Politecnica de Madrid?

10.0 on the Spanish 0-10 numeric grade scale, which you reach by earning 10.0 (10.0 points) in every course that counts toward the GPA.

Does Universidad Politecnica de Madrid round GPA up?

The cumulative average is rounded to the nearest 2 decimal places, and the semester average is rounded to the nearest 2 decimal places. That is ordinary rounding, so a result sitting exactly half a step along goes up.

Is this a generic Spain GPA formula?

No. This page is generated from the grading configuration for Universidad Politecnica de Madrid alone — its 102 point values, its standard rounding, and its own rules for pass/fail and repeated courses. Other universities in Spain routinely use different point values or a different scale entirely, so the same grades can produce a different GPA elsewhere.

Do pass/fail courses affect my GPA?

No. P and RC earn credit at Universidad Politecnica de Madrid without carrying grade points, so they are excluded from the GPA division entirely. Your completed-credit total goes up while the average stays where it was.

Which grades are excluded from the Universidad Politecnica de Madrid GPA?

P (Apto / pass), NP (No presentado / not assessed), and RC (Recognised credit without numeric mark) carry no grade points and are left out of the average. Of those, P and RC still earn credit toward the degree.

What happens to my GPA if I repeat a course?

Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog.

How much does one semester change my cumulative GPA?

Your CGPA is weighted by every credit you have already completed, so a single semester moves it less the further along you are. Fifteen credits added to sixty already completed is a fifth of your record; the same fifteen added to a hundred and twenty is an eighth of it. Use the calculator at the top of this page with your real completed-credit total rather than estimating the movement.

What percentage is a 10.0 at Universidad Politecnica de Madrid?

10.0 covers 10–10% and is worth 10.0 grade points. The full percentage-to-grade table for all 102 graded bands is published on this page.

Is this calculator official?

No. GPAWorld is an independent tool and is not affiliated with or endorsed by Universidad Politecnica de Madrid. The grading data on this page was taken from UPM - Credit and Grading Systems, UPM - SICUE call average formula, and UPM - Rector resolution with 0-10 weighted average formula and last verified on 2026-07-21; every source is linked on this page so you can check it yourself. Your registrar's record is always the authority.

Notes on this university's data

Judgement calls and caveats recorded when this grading configuration was built from the official sources. They are published so you can see exactly what the calculator assumes.

Universidad Politecnica de Madrid has its own official grading information and is not treated as a generic Spain formula.
UPM official sources state the 0-10 grading scale with 5 as the minimum pass and a weighted average over graded credits.
Failed graded credits are included because UPM official calls explicitly include failed graded credits in the average formula.
Retake/repeated-course handling is manual-review because the official sources used here do not provide a complete machine-calculable replacement rule.
No logo was added because official reuse rights were not confirmed.

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