diff --git a/core/inject.js b/core/inject.js
index 312bfbb53..21d884c8f 100644
--- a/core/inject.js
+++ b/core/inject.js
@@ -214,7 +214,7 @@ Blockly.createMainWorkspace_ = function(svg, options, blockDragSurface, workspac
   if (!options.hasCategories && options.languageTree) {
     // Add flyout as an <svg> that is a sibling of the workspace svg.
     var flyout = mainWorkspace.addFlyout_('svg');
-    Blockly.utils.insertAfter_(flyout, svg);
+    Blockly.utils.insertAfter(flyout, svg);
   }
 
   // A null translation will also apply the correct initial scale.
diff --git a/core/scrollbar.js b/core/scrollbar.js
index 5af4c3163..26eadee43 100644
--- a/core/scrollbar.js
+++ b/core/scrollbar.js
@@ -57,7 +57,7 @@ Blockly.ScrollbarPair = function(workspace) {
         'class': 'blocklyScrollbarBackground'
       },
       null);
-  Blockly.utils.insertAfter_(this.corner_, workspace.getBubbleCanvas());
+  Blockly.utils.insertAfter(this.corner_, workspace.getBubbleCanvas());
 };
 
 /**
@@ -625,7 +625,7 @@ Blockly.Scrollbar.prototype.createDom_ = function(opt_class) {
         'ry': radius
       },
       this.svgGroup_);
-  Blockly.utils.insertAfter_(this.outerSvg_, this.workspace_.getParentSvg());
+  Blockly.utils.insertAfter(this.outerSvg_, this.workspace_.getParentSvg());
 };
 
 /**
diff --git a/core/toolbox.js b/core/toolbox.js
index e25f17d84..382ed36c7 100644
--- a/core/toolbox.js
+++ b/core/toolbox.js
@@ -191,9 +191,8 @@ Blockly.Toolbox.prototype.init = function() {
     this.flyout_ = new Blockly.VerticalFlyout(workspaceOptions);
   }
   // Insert the flyout after the workspace.
-  var workspaceSvg = this.workspace_.getParentSvg();
-  workspaceSvg.parentNode.insertBefore(this.flyout_.createDom('svg'),
-      workspaceSvg.nextSibling);
+  Blockly.utils.insertAfter(this.flyout_.createDom('svg'),
+      this.workspace_.getParentSvg());
   this.flyout_.init(workspace);
 
   this.config_['cleardotPath'] = workspace.options.pathToMedia + '1x1.gif';
diff --git a/core/utils.js b/core/utils.js
index f28f0fcb7..4d4e36f1f 100644
--- a/core/utils.js
+++ b/core/utils.js
@@ -831,9 +831,9 @@ Blockly.utils.is3dSupported = function() {
  * Contrast with node.insertBefore function.
  * @param {!Element} newNode New element to insert.
  * @param {!Element} refNode Existing element to precede new node.
- * @private
+ * @package
  */
-Blockly.utils.insertAfter_ = function(newNode, refNode) {
+Blockly.utils.insertAfter = function(newNode, refNode) {
   var siblingNode = refNode.nextSibling;
   var parentNode = refNode.parentNode;
   if (!parentNode) {
@@ -906,6 +906,7 @@ Blockly.utils.getViewportBBox = function() {
  * @param {string} str The string to check.
  * @param {string} prefix A string to look for at the start of `str`.
  * @return {boolean} True if `str` begins with `prefix`.
+ * @package
  */
 Blockly.utils.startsWith = function(str, prefix) {
   return str.lastIndexOf(prefix, 0) == 0;
@@ -917,6 +918,7 @@ Blockly.utils.startsWith = function(str, prefix) {
  *     value.
  * @param {*} obj Object to remove.
  * @return {boolean} True if an element was removed.
+ * @package
  */
 Blockly.utils.arrayRemove = function(arr, obj) {
   var i = arr.indexOf(obj);
@@ -932,6 +934,7 @@ Blockly.utils.arrayRemove = function(arr, obj) {
  * Copied from Closure's goog.math.toRadians.
  * @param {number} angleDegrees Angle in degrees.
  * @return {number} Angle in radians.
+ * @package
  */
 Blockly.utils.toRadians = function(angleDegrees) {
   return angleDegrees * Math.PI / 180;
@@ -942,6 +945,7 @@ Blockly.utils.toRadians = function(angleDegrees) {
  * Copied from Closure's goog.math.toDegrees.
  * @param {number} angleRadians Angle in radians.
  * @return {number} Angle in degrees.
+ * @package
  */
 Blockly.utils.toDegrees = function(angleRadians) {
   return angleRadians * 180 / Math.PI;
@@ -952,6 +956,7 @@ Blockly.utils.toDegrees = function(angleRadians) {
  * @param {!Node} parent The node that should contain the other node.
  * @param {!Node} descendant The node to test presence of.
  * @return {boolean} Whether the parent node contains the descendant node.
+ * @package
  */
 Blockly.utils.containsNode = function(parent, descendant) {
   return !!(parent.compareDocumentPosition(descendant) &
diff --git a/core/workspace_drag_surface_svg.js b/core/workspace_drag_surface_svg.js
index f91d10876..9aca1aa52 100644
--- a/core/workspace_drag_surface_svg.js
+++ b/core/workspace_drag_surface_svg.js
@@ -150,13 +150,13 @@ Blockly.WorkspaceDragSurfaceSvg.prototype.clearAndHide = function(newSurface) {
   // If there is a previous sibling, put the blockCanvas back right afterwards,
   // otherwise insert it as the first child node in newSurface.
   if (this.previousSibling_ != null) {
-    Blockly.utils.insertAfter_(blockCanvas, this.previousSibling_);
+    Blockly.utils.insertAfter(blockCanvas, this.previousSibling_);
   } else {
     newSurface.insertBefore(blockCanvas, newSurface.firstChild);
   }
 
   // Reattach the bubble canvas after the blockCanvas.
-  Blockly.utils.insertAfter_(bubbleCanvas, blockCanvas);
+  Blockly.utils.insertAfter(bubbleCanvas, blockCanvas);
   // Hide the drag surface.
   this.SVG_.style.display = 'none';
   if (this.SVG_.childNodes.length) {
diff --git a/tests/jsunit/utils_test.js b/tests/jsunit/utils_test.js
index 98ffabd7f..ca6e77e63 100644
--- a/tests/jsunit/utils_test.js
+++ b/tests/jsunit/utils_test.js
@@ -232,3 +232,42 @@ function test_replaceMessageReferences() {
   resultString = Blockly.utils.replaceMessageReferences('before %{bky_string_ref_with_subref} after');
   assertEquals('Message ref and subref dereferenced.', 'before test subref string after', resultString);
 }
+
+function test_startsWith() {
+  assertEquals('Does not start with', false, Blockly.utils.startsWith('123', '2'));
+  assertEquals('Start with', true, Blockly.utils.startsWith('123', '12'));
+  assertEquals('Start with empty string 1', true, Blockly.utils.startsWith('123', ''));
+  assertEquals('Start with empty string 2', true, Blockly.utils.startsWith('', ''));
+}
+
+function test_arrayRemove() {
+  var arr = [1, 2, 3, 2];
+  assertEquals('Remove Not found', false, Blockly.utils.arrayRemove(arr, 0));
+  assertEquals('Remove Not found result', '1,2,3,2', arr.join(','));
+  assertEquals('Remove item', true, Blockly.utils.arrayRemove(arr, 2));
+  assertEquals('Remove item result', '1,3,2', arr.join(','));
+  assertEquals('Remove item again', true, Blockly.utils.arrayRemove(arr, 2));
+  assertEquals('Remove item again result', '1,3', arr.join(','));
+}
+
+function test_toRadians() {
+  var quarter = Math.PI / 2;
+  assertEquals('-90', -quarter, Blockly.utils.toRadians(-90));
+  assertEquals('0', 0, Blockly.utils.toRadians(0));
+  assertEquals('90', quarter, Blockly.utils.toRadians(90));
+  assertEquals('180', 2 * quarter, Blockly.utils.toRadians(180));
+  assertEquals('270', 3 * quarter, Blockly.utils.toRadians(270));
+  assertEquals('360', 4 * quarter, Blockly.utils.toRadians(360));
+  assertEquals('450', 5 * quarter, Blockly.utils.toRadians(360 + 90));
+}
+
+function test_toDegrees() {
+  var quarter = Math.PI / 2;
+  assertEquals('-90', -90, Blockly.utils.toDegrees(-quarter));
+  assertEquals('0', 0, Blockly.utils.toDegrees(0));
+  assertEquals('90', 90, Blockly.utils.toDegrees(quarter));
+  assertEquals('180', 180, Blockly.utils.toDegrees(2 * quarter));
+  assertEquals('270', 270, Blockly.utils.toDegrees(3 * quarter));
+  assertEquals('360', 360, Blockly.utils.toDegrees(4 * quarter));
+  assertEquals('450', 360 + 90, Blockly.utils.toDegrees(5 * quarter));
+}