diff --git a/meilisearch/tests/search/errors.rs b/meilisearch/tests/search/errors.rs
index 8be70d162..cce1a86e7 100644
--- a/meilisearch/tests/search/errors.rs
+++ b/meilisearch/tests/search/errors.rs
@@ -505,7 +505,7 @@ async fn search_bad_matching_strategy() {
     snapshot!(code, @"400 Bad Request");
     snapshot!(json_string!(response), @r###"
     {
-      "message": "Unknown value `doggo` at `.matchingStrategy`: expected one of `last`, `all`",
+      "message": "Unknown value `doggo` at `.matchingStrategy`: expected one of `last`, `all`, `frequency`",
       "code": "invalid_search_matching_strategy",
       "type": "invalid_request",
       "link": "https://docs.meilisearch.com/errors#invalid_search_matching_strategy"
@@ -527,7 +527,7 @@ async fn search_bad_matching_strategy() {
     snapshot!(code, @"400 Bad Request");
     snapshot!(json_string!(response), @r###"
     {
-      "message": "Unknown value `doggo` for parameter `matchingStrategy`: expected one of `last`, `all`",
+      "message": "Unknown value `doggo` for parameter `matchingStrategy`: expected one of `last`, `all`, `frequency`",
       "code": "invalid_search_matching_strategy",
       "type": "invalid_request",
       "link": "https://docs.meilisearch.com/errors#invalid_search_matching_strategy"
diff --git a/meilisearch/tests/search/matching_strategy.rs b/meilisearch/tests/search/matching_strategy.rs
new file mode 100644
index 000000000..a4cb19f62
--- /dev/null
+++ b/meilisearch/tests/search/matching_strategy.rs
@@ -0,0 +1,128 @@
+use meili_snap::snapshot;
+use once_cell::sync::Lazy;
+
+use crate::common::index::Index;
+use crate::common::{Server, Value};
+use crate::json;
+
+async fn index_with_documents<'a>(server: &'a Server, documents: &Value) -> Index<'a> {
+    let index = server.index("test");
+
+    index.add_documents(documents.clone(), None).await;
+    index.wait_task(0).await;
+    index
+}
+
+static SIMPLE_SEARCH_DOCUMENTS: Lazy<Value> = Lazy::new(|| {
+    json!([
+    {
+        "title": "Shazam!",
+        "id": "1",
+    },
+    {
+        "title": "Captain Planet",
+        "id": "2",
+    },
+    {
+        "title": "Captain Marvel",
+        "id": "3",
+    },
+    {
+        "title": "a Captain Marvel ersatz",
+        "id": "4"
+    },
+    {
+        "title": "He's not part of the Marvel Cinematic Universe",
+        "id": "5"
+    },
+    {
+        "title": "a Shazam ersatz, but better than Captain Planet",
+        "id": "6"
+    },
+    {
+        "title": "Capitain CAAAAAVEEERNE!!!!",
+        "id": "7"
+    }
+    ])
+});
+
+#[actix_rt::test]
+async fn simple_search() {
+    let server = Server::new().await;
+    let index = index_with_documents(&server, &SIMPLE_SEARCH_DOCUMENTS).await;
+
+    index
+        .search(json!({"q": "Captain Marvel", "matchingStrategy": "last", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"},{"id":"2"},{"id":"6"},{"id":"7"}]"###);
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Captain Marvel", "matchingStrategy": "all", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"}]"###);
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Captain Marvel", "matchingStrategy": "frequency", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"},{"id":"5"}]"###);
+        })
+        .await;
+}
+
+#[actix_rt::test]
+async fn search_with_typo() {
+    let server = Server::new().await;
+    let index = index_with_documents(&server, &SIMPLE_SEARCH_DOCUMENTS).await;
+
+    index
+        .search(json!({"q": "Capitain Marvel", "matchingStrategy": "last", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"},{"id":"7"},{"id":"2"},{"id":"6"}]"###);
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Capitain Marvel", "matchingStrategy": "all", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"}]"###);
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Capitain Marvel", "matchingStrategy": "frequency", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"},{"id":"5"}]"###);
+        })
+        .await;
+}
+
+#[actix_rt::test]
+async fn search_with_unknown_word() {
+    let server = Server::new().await;
+    let index = index_with_documents(&server, &SIMPLE_SEARCH_DOCUMENTS).await;
+
+    index
+        .search(json!({"q": "Captain Supercopter Marvel", "matchingStrategy": "last", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"2"},{"id":"3"},{"id":"4"},{"id":"6"},{"id":"7"}]"###);
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Captain Supercopter Marvel", "matchingStrategy": "all", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @"[]");
+        })
+        .await;
+
+    index
+        .search(json!({"q": "Captain Supercopter Marvel", "matchingStrategy": "frequency", "attributesToRetrieve": ["id"]}), |response, code| {
+            snapshot!(code, @"200 OK");
+            snapshot!(response["hits"], @r###"[{"id":"3"},{"id":"4"},{"id":"5"}]"###);
+        })
+        .await;
+}
diff --git a/meilisearch/tests/search/mod.rs b/meilisearch/tests/search/mod.rs
index 56fa226b2..284b68a15 100644
--- a/meilisearch/tests/search/mod.rs
+++ b/meilisearch/tests/search/mod.rs
@@ -7,6 +7,7 @@ mod facet_search;
 mod formatted;
 mod geo;
 mod hybrid;
+mod matching_strategy;
 mod multi;
 mod pagination;
 mod restrict_searchable;
diff --git a/milli/src/search/new/query_graph.rs b/milli/src/search/new/query_graph.rs
index 9cbe55aff..cda767d75 100644
--- a/milli/src/search/new/query_graph.rs
+++ b/milli/src/search/new/query_graph.rs
@@ -1,4 +1,4 @@
-use std::cmp::Ordering;
+use std::cmp::{Ordering, Reverse};
 use std::collections::BTreeMap;
 use std::hash::{Hash, Hasher};
 
@@ -321,13 +321,13 @@ impl QueryGraph {
                 })
                 .collect()
         };
-        term_with_frequency.sort_by_key(|(_, frequency)| *frequency);
+        term_with_frequency.sort_by_key(|(_, frequency)| Reverse(*frequency));
         let mut term_weight = BTreeMap::new();
         let mut weight: u16 = 1;
         let mut peekable = term_with_frequency.into_iter().peekable();
         while let Some((idx, frequency)) = peekable.next() {
             term_weight.insert(idx, weight);
-            if peekable.peek().map_or(false, |(_, f)| frequency < *f) {
+            if peekable.peek().map_or(false, |(_, f)| frequency != *f) {
                 weight += 1;
             }
         }