Hurdles at 1,117, Shot Put at 719: A Heptathlon Scored Event by Event

Thirteen point zero five seconds over the 100m hurdles is worth 1,117 points in a heptathlon. Run the same 13.05 in a stand-alone hurdles race and the World Athletics scoring tables give it 1,143. Same time, same barriers, two different numbers, and neither of them is wrong.

The difference comes from what each scale is for. The single-event tables compare a hurdles race with a long jump or a 10,000m. The combined events tables add seven or ten events into one total, and they were built so that a world-class heptathlete lands at around 6,500 points and a specialist in one event cannot carry a weak rest of the sheet. To see how that works in practice, there is no better material than a real score sheet. The official combined events tables print one: the heptathlon of Sheila Burrell (USA) at a world championship, seven marks, 6,472 points. Below it is followed event by event, in the order the rules run them, with the heptathlon score, the running total and the single-event score next to each other. Every number comes from the decathlon calculator and the World Athletics points calculator, which reproduce the printed figures to the point.

Day one: four events and at least half an hour between them

The rules fix the order and the pace of the day. For the women's heptathlon the first day is the 100m hurdles, high jump, shot put and 200m. Each athlete gets, whenever possible, at least 30 minutes between the end of one event and the start of the next. The exact timetable around that minimum belongs to the meet.

Event 1, 100m hurdles: 13.05, 1,117 points

The day opens with the highest score of the whole sheet. The hurdles formula is a(b - T)^c with a = 9.23076, b = 26.7 and c = 1.835, so every hundredth near 13 seconds is worth about one and a half points. Running total after one event: 1,117. On the single-event tables the same mark is worth 1,143, the gap of 26 points that opened this article.

Event 2, high jump: 1.67 m, 818 points

At least half an hour later the score drops by almost three hundred points in one event. A 1.67 m clearance is 818 heptathlon points and 897 on the single-event tables. Jumps are scored in centimeters, so clearing 1.70 m as well would have been worth 37 more points (855 instead of 818). Running total: 1,935.

Event 3, shot put: 12.87 m, 719 points

The weakest event of the sheet, and the reason a heptathlon is never decided by the first two events. 719 points, against 763 for the same put on the single-event tables. Running total: 2,654. Three events in, the average is already down to about 885 points per event.

Event 4, 200m: 22.92, 1,087 points

The day closes as it opened, fast. 1,087 points for 22.92, and 1,143 on the single-event tables, exactly what the hurdles scored there. Day one ends at 3,741 points, an average of 935 per event.

Day two: three events after a night's rest

The rules ask, where possible, for at least 10 hours between the last event of day one and the first of day two. Then the long jump, the javelin and the 800m, in that order. By now the arithmetic of the last event starts to matter: before the 800m, the total so far is known and so is the time the final race has to deliver.

Event 5, long jump: 6.45 m, 991 points

Nine points short of a thousand. On the single-event tables the jump is worth 1,097, the widest gap of the seven events: 106 points. Running total: 4,732.

Event 6, javelin: 48.74 m, 836 points

Throws are scored in meters, a(D - b)^c with a = 15.9803, b = 3.80 and c = 1.04 for the women's javelin, which makes the scale almost a straight line: a meter is worth about 19 points anywhere on it. 836 points here, 870 on the single-event tables. Running total after six events: 5,568.

Event 7, 800m: 2:14.24, 904 points

This is the moment the decathlon calculator was built for. Leave the 800m empty, set a goal, and it tells you the time the last race needs. With a goal of 6,500, the answer is 932 more points, which takes 2:12.28 or faster. The race on the printed sheet was 2:14.24, worth 904 points, and the final total 6,472, twenty-eight short of the round number.

The whole sheet in one table

Here are the seven events side by side. The fourth column is the running total the stadium board shows; the last one is what each mark would score as a single event on the World Athletics tables. Read down the third and the last column and the two systems tell slightly different stories about the same athlete.

The seven single-event scores add up to 6,834, three hundred and sixty-two points more than the heptathlon total, and the gap is not even. It is 26 points in the hurdles, 34 in the javelin, 106 in the long jump. That is the design at work: the combined events formulas are their own, slightly progressive scale, designed so that top totals stayed around the same levels when the tables were rebuilt, while the single-event tables are built so that equal points mean equivalent performances across events. Neither is a correction of the other. If you want to know how good a mark is as a hurdles race, use the World Athletics points calculator; if you want to know what it does to a heptathlon, use the combined events one.

The single-event calculator also answers the question in the other direction. A men's four-minute mile scores 1,074, and the table under the result lists what else is worth 1,074: a 10.39 in the 100m, 2:13:10 in the marathon, 7.71 m in the long jump. Those equivalences are exactly what the single-event tables promise and what the combined events tables never set out to do.

What if the day had gone another way

The same sheet, one thing changed at a time. The 800m rows show how fast the points move in the last race; the high jump rows show how much a single bar is worth. The last row is the cost of a stopwatch: hand times are rounded up to the tenth and get 0.24 seconds added before scoring, which on two sprints takes away 66 points.

Two things stand out. First, the 800m is not linear: 2:05 instead of 2:14.24 gains 135 points, 2:30 instead of it loses 211. Near 2:15, a second is worth about 14 points, and the step shrinks as times get slower. Second, a single bar in the high jump, 12 cm either way, moves the final total by about as much as nine seconds in the 800m. If you want the whole 800m ladder at once, the heptathlon 800m points table lists it from 2:00 to 2:45; the decathlon 1500m points table does the same for the men's last race.

The same idea on a hilly course

Points tables exist because raw marks from different events cannot be compared. Hills do the same thing to running times: a 2:15:00 half marathon on a course with 2,000 ft of climbing and the same descent is not the same run as a 2:15:00 on a flat road. The trail running pace calculator turns one into the other with the energy cost of running measured on slopes by Minetti and colleagues. On that course, 2:15:00 is a grade-adjusted pace of 8:44 per mile, while the watch average says 10:18. Kept up for 13.1 flat miles, that effort is a half marathon of about 1:54:30.

Put both times on the women's single-event road table and the difference becomes a number. The raw 2:15:00 scores 188 points; 1:54:30 scores 400. That is an illustration, not an official score: the World Athletics tables score the time as run and know nothing about hills. But it shows why a trail result reported only as a time undersells the effort, and why the same flat-pace runner should plan a hilly race much slower. At a 9:00 flat pace, the course above takes 2:19:00, with 1:19:57 of it on the climbs.

How much climbing is a lot is a question the calculator answers in minutes rather than adjectives. At a 9:00 flat pace, 1,000 ft up and down adds about 10 minutes to a half marathon, and about the same to a 10K: the climbing sets the bill, not the distance. The 1,000 ft page and its six siblings for 300 to 3,000 ft are listed at the end of this article.

Cheat sheet: heptathlon marks for round point levels

The weakest mark that still scores each level, from the calculator's formulas. A steady 900 per event is a 6,300-point heptathlon; 800 per event is 5,600. Compare with the printed sheet: the hurdles and the 200m sit above the 1,000 column, the shot put between the 700 and 800 columns.

Tools discussed in this article

• Decathlon Calculator - decathlon, heptathlon and indoor pentathlon points event by event, both days, and the mark the last event needs for a points goal.
• World Athletics Points Calculator - scoring table points for a single mark in 24 track, road and field events, the mark a points target needs and equal marks in other events.
• Trail Running Pace Calculator - finish time on a course with elevation gain from your flat pace, grade-adjusted pace from a finish time, and pace on any grade.

Ready-made calculations from this article

Is this much climbing a lot for a run? 300 ft, 500 ft, 900 ft, 1,000 ft, 1,500 ft, 2,000 ft, 3,000 ft, 1,000 ft in 2 miles, 1,000 ft in 3 miles

Combined events, ready to score: Women's heptathlon, Men's indoor heptathlon, Women's indoor pentathlon, Women's decathlon, Heptathlon 800m points table, Decathlon 1500m points table

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