diff --git a/internal/jstest/jstest.go b/internal/jstest/jstest.go
index 4e3e13f7d..945cac52d 100644
--- a/internal/jstest/jstest.go
+++ b/internal/jstest/jstest.go
@@ -16,8 +16,10 @@
 package jstest
 
 import (
+	"bytes"
 	"context"
 	"errors"
+	"fmt"
 	"log"
 	"os/exec"
 	"path/filepath"
@@ -83,8 +85,7 @@ func Run(ctx context.Context, dir string, args []string) (*internal.TestResults,
 		out  []byte
 	}
 
-	// tokens is a counting semaphore used to enforce a limit of
-	// 20 concurrent runCommand invocations.
+	// tokens is a counting semaphore used to enforce a limit of 20 concurrent calls to runShellWithScript.
 	tokens := make(chan struct{}, 20)
 
 	ch := make(chan *item, len(files))
@@ -107,7 +108,7 @@ func Run(ctx context.Context, dir string, args []string) (*internal.TestResults,
 				panic(err)
 			}
 
-			it.out, it.err = runCommand(dir, "mongo", rel)
+			it.out, it.err = runShellWithScript(dir, rel)
 			ch <- it
 
 			<-tokens // release the token
@@ -141,16 +142,20 @@ func Run(ctx context.Context, dir string, args []string) (*internal.TestResults,
 	return res, nil
 }
 
-// runCommand runs command with args inside the mongo container and returns the
-// combined output.
-func runCommand(dir, command string, args ...string) ([]byte, error) {
+// runShellWithScript runs the mongo shell inside a container with script and returns the combined output.
+func runShellWithScript(dir, script string) ([]byte, error) {
 	bin, err := exec.LookPath("docker")
 	if err != nil {
 		return nil, err
 	}
 
-	args = append([]string{"--verbose", "--norc", "mongodb://host.docker.internal:27017/"}, args...)
-	dockerArgs := append([]string{"compose", "run", "-T", "--rm", command}, args...)
+	dockerArgs := []string{"compose", "run", "-T", "--rm", "mongo"}
+	shellArgs := []string{
+		"--verbose", "--norc", "mongodb://host.docker.internal:27017/",
+		"--eval", evalBuilder(script), script,
+	}
+	dockerArgs = append(dockerArgs, shellArgs...)
+
 	cmd := exec.Command(bin, dockerArgs...)
 	cmd.Dir = dir
 
@@ -158,3 +163,13 @@ func runCommand(dir, command string, args ...string) ([]byte, error) {
 
 	return cmd.CombinedOutput()
 }
+
+// evalBuilder creates the TestData object and sets the testName property for the shell.
+func evalBuilder(script string) string {
+	var eb bytes.Buffer
+	fmt.Fprintf(&eb, "TestData = new Object(); ")
+	scriptName := filepath.Base(script)
+	fmt.Fprintf(&eb, "TestData.testName = %q;", strings.TrimSuffix(scriptName, filepath.Ext(scriptName)))
+
+	return eb.String()
+}
diff --git a/tests/dbaas_core.yml b/tests/dbaas_core.yml
index ddf847060..e760b9e59 100644
--- a/tests/dbaas_core.yml
+++ b/tests/dbaas_core.yml
@@ -224,8 +224,9 @@ args:
 results:
   ferretdb:
     stats:
-      expected_fail: 553
-      expected_pass: 254
+      expected_fail: 0
+      unexpected_fail: 711
+      expected_pass: 256
     ignore:
       - mongo/jstests/core/query/explode_for_sort_fetch.js
     pass:
@@ -243,5 +244,5 @@ results:
   mongodb:
     stats:
       expected_fail: 0
-      unexpected_fail: 71
-      expected_pass: 897
+      unexpected_fail: 53
+      expected_pass: 915
diff --git a/tests/mongo.yml b/tests/mongo.yml
index f9c209179..a7aea49b8 100644
--- a/tests/mongo.yml
+++ b/tests/mongo.yml
@@ -28,8 +28,8 @@ args:
 results:
   ferretdb:
     stats:
-      expected_fail: 40
-      expected_pass: 37
+      expected_fail: 39
+      expected_pass: 38
 
     fail:
       # https://docs.ferretdb.io/diff/
@@ -114,18 +114,16 @@ results:
       # document keys must not contain $ or . signs;
       - mongo/jstests/core/write/update/updateh.js
 
-      # https://github.com/FerretDB/dance/issues/294
-      - mongo/jstests/readonly/get_more.js
+      # same issue, see below.
       - mongo/jstests/auth/getMore.js
       - mongo/jstests/auth/list_sessions.js
 
   mongodb:
     stats:
-      expected_fail: 3
-      expected_pass: 74
-
+      expected_fail: 2
+      expected_pass: 75
     fail:
-      # https://github.com/FerretDB/dance/issues/294
+      # both tests invoke the MongoRunner and also fail on resmoke.py with exit code 253.
+      # they both seem to use a key file with incorrect permissions.
       - mongo/jstests/auth/getMore.js
-      - mongo/jstests/readonly/get_more.js
       - mongo/jstests/auth/list_sessions.js