UMS converter

A uniform mark is not your exam score. It is your raw mark converted onto a scale whose grade boundaries never move, so that a given UMS always means the same grade whatever session you sat. AQA puts the point plainly in its own guide to the uniform mark scale: for a unit worth 30 per cent of a four-unit A-level the maximum uniform mark is 120 and 96 to 120 is a grade A, but "this does not mean that the paper is marked out of 120 or that a student has to score 80 per cent of the raw marks to obtain grade A on the unit". In AQA's own worked example the grade A raw boundary was 61 out of 80, about 76 per cent, and it converted to a UMS of 96.

The boundaries are fixed percentages of each unit's maximum uniform mark. This is AQA's own table for a four-unit A-level, with a column for each unit maximum, and every column is the same ladder:

Enter each unit above as its UMS expressed as a percentage of that unit's maximum, weighted by that maximum. Because the weighted average of those percentages is the same number as your total UMS over the total maximum UMS, the figure the calculator returns is your overall UMS percentage, and the band beside it is the subject grade.

The conversion between raw and uniform marks is piecewise linear, not a single formula. The awarding body fixes the points, the raw grade boundaries plus zero, the maximum and the "cap", and draws straight lines between consecutive points. In AQA's example a raw 43 became 60 UMS and a raw 49 became 72, so a raw 46, exactly half way between them, became 66, exactly half way between. This is why nobody can hand you a universal raw-to-UMS converter: the raw boundaries are set fresh after each session and you need your own paper's published table.

This is the whole point of the scale, in one table. AQA publishes two typical sets of boundaries for the same A2 unit, marked out of a raw 60 with a maximum uniform mark of 80. The raw marks needed move between sessions; the uniform marks do not budge.

Read the grade A row: a raw 47 in the first session and a raw 53 in the second both convert to a uniform mark of 64, because each was that session's grade A boundary. Six raw marks apart, same achievement, same uniform mark. Note also that 64 is 80 per cent of 80 and 56 is 70 per cent of 80, the same fixed ladder as every other unit whatever its maximum.

Two mechanisms sit at the top of the scale, and both bend the line. The cap is the raw mark at which the maximum uniform mark is reached, 57 in the first session and 59 in the second: score at or above it and you receive the full 80, so the last raw marks are worth nothing extra. Below it, A2 units carry an A* conversion point which always converts to 90 per cent of the unit maximum, 72 out of 80 here. Where it sits in RAW marks is calculated, and AQA publishes the rule. If the gap from A to the maximum is more than twice the gap from A to B, the A* point goes the same distance above A as B sits below A. If that gap is less than or equal to twice the A-to-B gap, it goes halfway between A and the maximum, rounded down. The cap then sits the same number of raw marks above A* as A sits below A*. Both example sessions above follow from that: 47 and 42 give an A* at 52 and a cap at 57 under the first branch, while 53 and 48 give 56 and 59 under the second. Rounding is always carried out in the student's favour, down for raw marks and up for uniform marks.

A* overall is a two-part test, not a higher percentage. It went to students who achieved grade A overall and at least 90 per cent of the maximum uniform mark on the A2 aggregate, and the second figure depends on how the qualification is built: on a four-unit A-level, at least 320 overall and 180 across the two A2 units; on a six-unit A-level, 480 overall and 270 across the three A2 units; on a two-unit A-level, 160 overall and 90 on the single A2 unit. Mathematics and Further Mathematics are exceptions. In Mathematics the 90 per cent is measured on units MPC3 and MPC4 together, needing at least 180; in Further Mathematics it is measured on your three best A2 units, needing at least 270. The calculator above reports the overall grade only, because it cannot see how your marks split between AS and A2. At legacy GCSE the ladder simply extended: A* 90 per cent, then A 80, B 70, C 60, D 50, E 40, F 30, G 20.

Now the part worth knowing before you convert anything: most UK exams no longer use UMS. Uniform marks were a feature of modular qualifications, and the reformed linear GCSEs, AS and A-levels in England, taught from September 2015 onward, do not use them. Pearson states it directly: uniform marks apply to modular qualifications, and "this does not apply to Linear qualifications, which now use scaled subject marks and are awarded at qualification rather than at paper level". If you sat a reformed 9 to 1 GCSE or a linear A-level, you have no UMS to convert and should be looking at scaled marks and subject-level grade boundaries instead.

UMS has not vanished, though. It still applies to qualifications that remain modular, which is why AQA's current grade boundaries guidance warns that "qualifications that use uniform marks can't be used with these tables" and keeps a separate uniform mark conversion for its Applied General qualifications. International A-levels remain modular too. For university-level UK grading, which is a different system entirely, use the UK degree classification calculator or the masters grade calculator.

This page is the centre of a set. The full fixed ladder at every common unit maximum is tabulated on the UMS grade boundaries page. To turn a raw mark into a uniform mark using your own session's published boundary points, the raw mark to UMS converter draws the same straight lines the awarding bodies draw. And each board's actual use of the scale - who still issues uniform marks and who stopped at reform - is set out on the Edexcel and IAL, AQA and OCR pages.

What is a UMS mark?

A uniform mark: your raw exam mark converted onto a scale whose grade boundaries are the same in every session. Raw boundaries move as papers turn out harder or easier, so a raw 61 one summer and a raw 57 another can represent the same achievement. Converting both to the same uniform mark is what makes results comparable across sessions.

What are the UMS grade boundaries?

Fixed percentages of the unit's maximum uniform mark: A is 80 per cent, B 70, C 60, D 50 and E 40. On a unit with a maximum of 120 that is 96, 84, 72, 60 and 48. Legacy GCSE extended the same ladder with A* at 90 per cent, F at 30 and G at 20.

How do I convert a raw mark to UMS?

You need your own paper's raw grade boundaries for that session, because the conversion is a straight line drawn between them rather than a formula. Once you have them, a raw mark sitting half way between two raw boundaries converts to the uniform mark half way between the two corresponding uniform boundaries. There is no universal converter, and any site offering one without asking for your session's boundaries is guessing.

What UMS do I need for an A*?

At A-level it was never a single number. A* required grade A overall AND at least 90 per cent of the maximum uniform mark across the A2 units, and the A2 figure depends on the structure: 320 overall with 180 on two A2 units for a four-unit A-level, 480 with 270 on three A2 units for a six-unit one, 160 with 90 for a two-unit one. Mathematics measures the 90 per cent on MPC3 and MPC4 together (180), and Further Mathematics on the three best A2 units (270). That is why a calculator can show you the overall grade but not settle an A*.

Do A-levels still use UMS?

Not the reformed ones. Uniform marks belong to modular qualifications, and the linear GCSEs, AS and A-levels introduced in England from September 2015 do not use them. Pearson says linear qualifications now use scaled subject marks and are awarded at qualification level rather than paper level, so there is no UMS on those results at all.

Which qualifications still use uniform marks?

Those that are still modular. AQA's current results guidance notes that qualifications using uniform marks cannot be read against its raw mark boundary tables, and it publishes a separate uniform mark conversion for Applied General qualifications. International A-levels also remain modular. Check the specification for your own qualification rather than assuming.

Is UMS the same as a percentage of my raw marks?

No, and treating it as one is the usual mistake. A grade A is 80 per cent of the maximum uniform mark, but the raw mark that earns it is typically lower - in AQA's own example 61 out of 80, roughly 76 per cent, converted to 96 out of 120. The uniform figure is a position on a fixed scale, not a share of the marks you actually scored.

What is the UMS cap?

The raw mark at which a unit reaches its maximum uniform mark. In AQA's published example for an A2 unit marked out of 60, the cap fell at raw 57 in one session and raw 59 in another, and both convert to the full 80 uniform marks. Raw marks above the cap earn nothing further, which is why two students with different raw marks can both come away with a perfect uniform score.

Is this a UMS calculator?

Yes - it calculates a whole qualification's grade from each unit's UMS percentage, against the fixed 80/70/60/50/40 boundaries. What it deliberately does not do is turn raw marks into UMS without your session's published boundary points, because no honest UMS calculator can: for that step, with the points in hand, use the raw mark to UMS converter.

Why do two different raw marks give the same UMS?

Because each was the grade boundary in its own session. AQA publishes a case where the grade A boundary for one A2 unit was a raw 47 in one session and a raw 53 in another, and both convert to 64 uniform marks. That is the entire purpose of the scale: the raw mark reflects how hard that particular paper turned out, the uniform mark reflects what you achieved.

Where does the A* conversion point sit?

It always converts to 90 per cent of the unit maximum, which is 72 on a unit whose maximum uniform mark is 80. Its position in raw marks is calculated by a published rule: if the gap from A to the maximum is more than twice the gap from A to B, A* sits the same distance above A as B sits below A; otherwise it sits halfway between A and the maximum, rounded down. The cap is then as far above A* as A is below it. That reproduces every worked table AQA publishes, for A2 units and GCSE units alike.

Is this UMS calculator free, with nothing uploaded?

Yes. No account and no upload. Your units and marks are handled in your own browser and never reach a server, and the page keeps working offline once loaded.