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Basketball Shot Counts and Effective FG

Calculate effective field-goal percentage, two- and three-point accuracy, made shots, attempts and field-goal points from consistent basketball counts.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Formula and method

Eight two-pointers and four three-pointers from 20 total attempts produce 28 field-goal points and 70% effective FG.

Effective FG = (made field goals + 0.5 × made threes)/attempts; field-goal points = 2 × made twos + 3 × made threes.

Worked example

Enter these known values and leave the other values blank.

Made two-point shots
8
Made three-point shots
4
Two-point attempts
12
Three-point attempts
8
Total made field goals
12
Total field-goal attempts
20
Two-point accuracy
66.67 %
Three-point accuracy
50 %
Effective field-goal percentage
70 %
Points from field goals
28

Assumptions and limitations

  • All shot counts and field-goal points are nonnegative whole numbers. Made shots cannot exceed attempts in the same category.
  • At least one total field-goal attempt is required for effective FG. A zero attempt count for one shot category is allowed; that category’s accuracy is undefined and remains blank.
  • The points control includes two- and three-point field goals only. It excludes free throws and is not total game scoring or true shooting percentage.
  • Effective FG can exceed 100%; making every attempt as a three-pointer gives 150%. Ordinary two- and three-point accuracy remain at or below 100%.
  • All ten quantities remain editable with the captured six equations and inverse branches. Supplying percentage alone does not identify unique attempt or made-shot counts.
  • Percentage selectors display 70 for a 70% rate. The underlying ratio is 0.7. An inverse that implies fractional shots is rejected as an invalid discrete count.

Common questions

Can effective FG be more than 100%?

Yes. Ten made threes in ten attempts give 150% effective FG, even though ordinary shooting accuracy is 100%.

Does the points field include free throws?

No. It counts only two-point and three-point field goals.

What if there were no two-point attempts?

Two-point accuracy has no defined denominator. Leave that rate blank; a nonzero total attempt count can still define effective FG.

References

Use exact nonnegative count and made-versus-attempted checks; require a positive total attempt count. Effective FG may reach 150%, while per-category accuracy cannot exceed 100%. Preserve undefined category accuracy at zero attempts.

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