diff --git a/Contest_API.md b/Contest_API.md
index b630d4d..e4ae89b 100644
--- a/Contest_API.md
+++ b/Contest_API.md
@@ -1135,7 +1135,7 @@ Properties of problem objects:
 | output\_limit     | integer   | Limit in MiB on what the submission can write both to `stdout` and `stderr`. If a submission produces more output, a CCS should fail the submission or ignore output beyond this limit.
 | code\_limit       | integer   | Limit in KiB on submissions for this problem. Submissions that are larger should be rejected by a CCS.
 | test\_data\_count | integer   | Number of test data sets.
-| max\_score        | number    | Maximum expected score, although teams may score higher in some cases. Typically used to indicate scoreboard cell color in scoring contests. Required iff contest:scoreboard\_type is `score`.
+| max\_score        | number    | Maximum score. Typically used to determine scoreboard cell color. Required iff contest:scoreboard\_type is `score`.
 | package           | array of FILE ? | [Problem package](https://www.kattis.com/problem-package-format/). Expected mime type is application/zip. Only exactly one package is allowed. Not expected to actually contain href for package during the contest, but used for configuration and archiving.
 | statement         | array of FILE ? | Problem statement. Expected mime type is application/pdf. 
 
@@ -1725,7 +1725,7 @@ Properties of judgement objects:
 | id                   | ID        | Identifier of the judgement.
 | submission\_id       | ID        | Identifier of the [submission](#submissions) judged.
 | judgement\_type\_id  | ID ?      | The [verdict](#judgement-types) of this judgement. Required iff judgement has completed.
-| score                | number    | Score for this judgement. Required iff contest:scoreboard\_type is `score`.
+| score                | number    | Score for this judgement, between `0` and the problem's `max_score`. Required iff contest:scoreboard\_type is `score`.
 | current              | boolean ? | `true` if this is the current judgement. Defaults to `true`. At any time, there must be at most one judgement per submission for which this `true` or unset (and thus defaulting to `true`).
 | start\_time          | TIME      | Absolute time when judgement started.
 | start\_contest\_time | RELTIME   | Contest relative time when judgement started.