Combined Events Scoring Calculator
Combined Events Scoring Calculator
Decathlon and heptathlon points from the published closed form, not an interpolated table: A × (B − T)^C for a track event, A × (P − B)^C for a field event, truncated. All seventeen coefficient sets, checked against six score sheets the IAAF printed in the same document.
Points for one event
INT(A(B − P)^C)Decathlon 100 m in 10.62 seconds — Tomáš Dvořák’s opening event at the 2001 World Championships
The published closed form
jumps: P = INT(A × (M − B)C), M in centimetres
throws: P = INT(A × (D − B)C), D in metres
- where the coefficients come from
- the IAAF Scoring Tables for Combined Events, 2001 Edition (reprinted June 2016), which prints “P=a*(b – T)**c”, “P=a*(M – b)**c” and “P=a*(D – b)**c” and lists a, b and c per event. WMA’s 2023 Appendix B agrees, as do two independent public reference tables
- INT() is a floor
- the tables truncate rather than round. 100 m in 10.62 s gives a raw 947.5642, which is 947 on the published sheet and would be 948 under round-to-nearest
- B is the zero-point threshold
- a performance at or beyond B scores nothing: 18.00 s in the decathlon 100 m, 1.50 m in the shot, 220 cm in the long jump. The formula would otherwise want a fractional power of a negative number, so this page returns zero
- the units are not uniform
- the published B is in seconds for a track event, CENTIMETRES for a jump and METRES for a throw. This page takes every field event in metres and multiplies the jumps by 100 internally
- fully automatic timing
- every track coefficient is marked “(auto)”; a hand time is not the same measurement, and WMA publishes corrections for one
Worked example
Decathlon 100 m in 10.62 seconds — Tomáš Dvořák's opening event at the 2001 World Championships
A = 25.4347, B = 18.00, C = 1.81, and it is a track event, so the gap is B − T: 18.00 − 10.62 = 7.38
25.4347 × 7.381.81 = 947.5642
INT() truncates: 947 points, the figure printed on the IAAF's own score sheet. Round-to-nearest would have given 948, so the defaults on this page are themselves a demonstration that INT() is a floor
Dvořák's whole decathlon reproduces from these coefficients: 947, 1079, 886, 803, 922, 1000, 777, 910, 867 and 711, totalling 8902, the published total
All seventeen coefficient sets, as the IAAF tables print them
| Event | A | B | C | B is in |
|---|---|---|---|---|
| Dec 100 m | 25.4347 | 18.00 | 1.81 | s |
| Dec long jump | 0.14354 | 220.00 | 1.4 | cm |
| Dec shot put | 51.39 | 1.50 | 1.05 | m |
| Dec high jump | 0.8465 | 75.00 | 1.42 | cm |
| Dec 400 m | 1.53775 | 82.00 | 1.81 | s |
| Dec 110 m hurdles | 5.74352 | 28.50 | 1.92 | s |
| Dec discus | 12.91 | 4.00 | 1.1 | m |
| Dec pole vault | 0.2797 | 100.00 | 1.35 | cm |
| Dec javelin | 10.14 | 7.00 | 1.08 | m |
| Dec 1500 m | 0.03768 | 480.00 | 1.85 | s |
| Hep 100 m hurdles | 9.23076 | 26.70 | 1.835 | s |
| Hep high jump | 1.84523 | 75.00 | 1.348 | cm |
| Hep shot put | 56.0211 | 1.50 | 1.05 | m |
| Hep 200 m | 4.99087 | 42.50 | 1.81 | s |
| Hep long jump | 0.188807 | 210.00 | 1.41 | cm |
| Hep javelin | 15.9803 | 3.80 | 1.04 | m |
| Hep 800 m | 0.11193 | 254.00 | 1.88 | s |
The check: the IAAF’s own sample score sheet, reproduced exactly
| Event | Dvořák | Printed | This page |
|---|---|---|---|
| 100 m | 10.62 | 947 | 947 |
| Long jump | 8.07 | 1079 | 1079 |
| Shot put | 16.57 | 886 | 886 |
| High jump | 2.00 | 803 | 803 |
| 400 m | 47.74 | 922 | 922 |
| 110 m hurdles | 13.80 | 1000 | 1000 |
| Discus | 45.51 | 777 | 777 |
| Pole vault | 5.00 | 910 | 910 |
| Javelin | 68.53 | 867 | 867 |
| 1500 m | 4:35.13 | 711 | 711 |
| Total | 8902 | 8902 |
The one scoring table in athletics that is a formula
This page is about athletics — track and field, and road running — whose competition rules, technical rules and scoring tables are published by World Athletics, the body that was the IAAF until 2019. Where a figure below belongs to a particular edition of those rules, the edition is named beside it, because World Athletics revises them and a number quoted without its edition will be wrong for somebody.
This is the one scoring table in athletics that is a formula rather than an interpolation. The IAAF Scoring Tables for Combined Events, 2001 Edition, prints roughly 130 pages of tables and prints the closed form that generated them on its introductory pages: P = a × (b − T)^c for a track event, where T is the time in seconds, and P = a × (M − b)^c for a jump or a throw. So the table does not have to be reproduced — seventeen rows of coefficients reproduce it exactly.
The number this page cannot look up for you, it asks you for. This calculator has no table interpolation of any kind, and a curve fitted to stand in for a published table is worst at its extremes — exactly where the answer changes anything. So where a figure comes from a published table, the table’s own value is an input: a fitted approximation baked into the page would be a worse number pretending to be a better one.
The coefficients here come from the IAAF document’s own formula pages and are corroborated identically by WMA’s 2023 Appendix B and by two independent public reference tables. That is still not enough, because thirty coefficients in a PDF is exactly the shape a confabulated table takes, and on the fetch used for this page the printed tables themselves, roughly 130 pages of them, did not come through at all — so nothing here quotes a table entry. What did come through was the pair of sample score sheets the IAAF prints in the same document, and all 51 per-event figures and all six totals on them reproduce exactly from the coefficients above. That is the check worth having, because an internally consistent wrong table passes every other kind.
Three details decide whether an implementation is right, and the formula block below has all three: INT() truncates rather than rounds, B is a zero-point threshold beyond which a performance scores nothing, and the published units are not uniform. The women’s decathlon and the men’s pentathlon are not offered, though the document prints their coefficients too — a women’s 100 m of 17.8570 / 21.0 / 1.81 — and are left out only to keep the event list readable.
Every track coefficient is marked “(auto)”: the scale is built for fully automatic timing and a hand time needs correcting first, which the age-graded performance calculator carries. For legality rather than value, the wind reading and altitude legality interpreter has the wind rule.
Frequently asked questions
How are decathlon points calculated?
From a published formula, not a lookup. For a track event, INT(A × (B − T)^C) with T in seconds; for a jump or a throw, INT(A × (P − B)^C), with the jump in centimetres and the throw in metres. 100 metres in 10.62 seconds is INT(25.4347 × 7.38^1.81) = 947.
Is INT() a rounding or a truncation?
A truncation — a floor. A raw 947.5642 is 947 points and not 948, and the published score sheets confirm it. The difference bites on well over half of all performances, so getting it wrong is a systematic error.
Which edition of the scoring tables is this?
The IAAF Scoring Tables for Combined Events, 2001 Edition, reprinted June 2016, with the same figures in WMA’s 2023 Appendix B. The tables have been revised, so a score on one edition is not comparable with one on another.
Do I enter a high jump in metres or centimetres?
Metres, on this page. The published formula wants a jump in centimetres and a throw in metres, a real trap, so every field event here is taken in metres and the jumps converted internally. Enter 2.00 for a two-metre high jump; the row showing the performance as the formula uses it will read 200.
Are the heptathlon coefficients the same as the decathlon’s?
No, not even for the events the two share. A 13.15 m shot put is 737 points in the heptathlon and 676 in the decathlon, because A is 56.0211 in one table and 51.39 in the other. Picking the wrong row of the event list is the easiest mistake to make here.
Related calculators
References
- IAAF. Scoring Tables for Combined Events, 2001 Edition, reprinted June 2016. The closed form as printed: “P=a*(b – T)**c” for a track event with T in seconds, “P=a*(M – b)**c” for a jump with M in centimetres and “P=a*(D – b)**c” for a throw with D in metres, points rounded down to a whole number. Its parameter tables give a, b and c for every event, and are the source of the seventeen sets printed on this page; the track rows are marked “(auto)”. Read 12 Oct 2026 from the copy hosted by the Federació Catalana d’Atletisme; about 60,000–85,000 characters of bilingual text. IMPORTANT: on this fetch the printed scoring tables themselves, roughly pages 48 to 176, did NOT come through — only their headings and index entries — so no table entry is quoted anywhere on this page. The coefficients and the sample score sheets did come through as readable text.
- IAAF. Scoring Tables for Combined Events, 2001 Edition — the sample score sheets printed in the same document (read 12 Oct 2026). “DECATHLON – WORLD CHAMPIONSHIPS EDMONTON, 6/7 AUGUST 2001”, with Tomáš Dvořák (CZE) 8902, Erki Nool (EST) 8815 and Dean Macey (GBR) 8603, and “HEPTATHLON-WORLD CHAMPIONSHIPS EDMONTON, 4/5 AUGUST 2001”, with Yelena Prokhorova (RUS) 6694, Natalya Sazanovich (BLR) 6539 and Sheila Burrell (USA) 6472 — each sheet printing the performance and the points for every event. All 51 per-event figures and all six totals were reproduced exactly from the coefficients, which is the check that catches an internally consistent wrong table.
- Wikipedia. Decathlon and Heptathlon (read 12 Oct 2026). The second and third independent sources for the coefficients, which they give identically to the IAAF document for all ten decathlon and all seven heptathlon events, with “Points = INT(A(B − P)C)” for track events and “INT(A(P − B)C)” for field events, INT linked to the floor function, and P “measured in seconds (running), metres (throwing), or centimetres (jumping)”. The fetches were about 90,000 and 60,000 characters and in both the coefficient table came through as readable text rather than as an image — checked, because an invented table is what a short fetch of an image-only page returns.
- World Masters Athletics. 2023 WMA Rulebook, Appendix B, 2023 Edition (read 12 Oct 2026; about 80,000 characters). Cited here as an independent governing-body corroboration of the combined-events coefficients: its parameter tables give “100m a=25.4347 b=18s c=1.81” and “High Jump a=1.84523 b=75cm c=1.348”, matching the IAAF 2001 tables exactly, and it refers to the “current edition of the ‘IAAF Scoring Tables for Combined Events’” as its base. It also publishes hand-timing corrections of 0.24 s from 50 to 300 m and 0.14 s at 400 m, which matter because every track coefficient is scaled for fully automatic timing.