diff --git a/benchmark/crs.dart b/benchmark/crs.dart
index c29c4e9ad..368369fa3 100644
--- a/benchmark/crs.dart
+++ b/benchmark/crs.dart
@@ -29,6 +29,7 @@ Future<void> main() async {
   const N = 100000000;
 
   const crs = Epsg3857();
+  final cachedCrs = Epsg3857Cached();
   results.add(await timedRun('Concrete type: ${crs.code}.latLngToXY()', () {
     double x = 0;
     double y = 0;
@@ -40,6 +41,20 @@ Future<void> main() async {
     }
     return x + y;
   }));
+  results.add(await timedRun(
+    'Concrete type (cached): ${cachedCrs.code}.latLngToXY()',
+    () {
+      double x = 0;
+      double y = 0;
+      for (int i = 0; i < N; ++i) {
+        final latlng = LatLng((i % 90).toDouble(), (i % 180).toDouble());
+        final (cx, cy) = cachedCrs.latLngToXY(latlng, 1);
+        x += cx;
+        y += cy;
+      }
+      return x + y;
+    },
+  ));
 
   results.add(await timedRun('Concrete type: ${crs.code}.latLngToOffset()', () {
     double x = 0;
@@ -53,13 +68,30 @@ Future<void> main() async {
     return x + y;
   }));
 
-  const crss = <Crs>[
-    Epsg3857(),
-    Epsg4326(),
+  results.add(await timedRun(
+    'Concrete type (cached): ${cachedCrs.code}.latLngToOffset()',
+    () {
+      double x = 0;
+      double y = 0;
+      for (int i = 0; i < N; ++i) {
+        final latlng = LatLng((i % 90).toDouble(), (i % 180).toDouble());
+        final p = cachedCrs.latLngToOffset(latlng, 1);
+        x += p.dx;
+        y += p.dy;
+      }
+      return x + y;
+    },
+  ));
+
+  final crss = <(String, Crs)>[
+    ('EPSG:3857', const Epsg3857()),
+    ('EPSG:3857 (cached)', Epsg3857Cached()),
+    ('EPSG:4326', const Epsg4326()),
+    ('EPSG:4326 (cached)', Epsg4326Cached()),
   ];
 
-  for (final crs in crss) {
-    results.add(await timedRun('${crs.code}.latLngToXY()', () {
+  for (final (label, crs) in crss) {
+    results.add(await timedRun('$label.latLngToXY()', () {
       double x = 0;
       double y = 0;
       for (int i = 0; i < N; ++i) {
@@ -71,7 +103,7 @@ Future<void> main() async {
       return x + y;
     }));
 
-    results.add(await timedRun('${crs.code}.latlngToPoint()', () {
+    results.add(await timedRun('$label.latlngToPoint()', () {
       double x = 0;
       double y = 0;
       for (int i = 0; i < N; ++i) {
@@ -83,7 +115,7 @@ Future<void> main() async {
       return x + y;
     }));
 
-    results.add(await timedRun('${crs.code}.pointToLatLng()', () {
+    results.add(await timedRun('$label.pointToLatLng()', () {
       double x = 0;
       double y = 0;
       for (int i = 0; i < N; ++i) {
diff --git a/lib/src/geo/crs.dart b/lib/src/geo/crs.dart
index f4dc608e7..3f7ded9a6 100644
--- a/lib/src/geo/crs.dart
+++ b/lib/src/geo/crs.dart
@@ -61,10 +61,10 @@ abstract class Crs {
   LatLng offsetToLatLng(Offset point, double zoom);
 
   /// Zoom to Scale function.
-  double scale(double zoom) => 256.0 * math.pow(2, zoom);
+  double scale(double zoom) => 256.0 * math.pow(2.0, zoom);
 
   /// Scale to Zoom function.
-  double zoom(double scale) => math.log(scale / 256) / math.ln2;
+  double zoom(double scale) => math.log(scale / 256.0) / math.ln2;
 
   /// Rescales the bounds to a given zoom value.
   Rect? getProjectedBounds(double zoom);
@@ -85,6 +85,31 @@ abstract class Crs {
   }
 }
 
+mixin _ScaleCacheMixin on Crs {
+  double _lastScaleZoom = double.nan;
+  double _lastScaleValue = double.nan;
+  double _lastZoomScale = double.nan;
+  double _lastZoomValue = double.nan;
+
+  @override
+  double scale(double zoom) {
+    if (zoom == _lastScaleZoom) return _lastScaleValue;
+    final value = super.scale(zoom);
+    _lastScaleZoom = zoom;
+    _lastScaleValue = value;
+    return value;
+  }
+
+  @override
+  double zoom(double scale) {
+    if (scale == _lastZoomScale) return _lastZoomValue;
+    final value = super.zoom(scale);
+    _lastZoomScale = scale;
+    _lastZoomValue = value;
+    return value;
+  }
+}
+
 /// Internal base class for CRS with a single zoom-level independent transformation.
 @immutable
 @internal
@@ -159,6 +184,11 @@ class CrsSimple extends CrsWithStaticTransformation {
         );
 }
 
+/// Non-const CRS with cached scale/zoom.
+class CrsSimpleCached extends CrsSimple with _ScaleCacheMixin {
+  CrsSimpleCached() : super();
+}
+
 /// EPSG:3857, The most common CRS used for rendering maps.
 @immutable
 class Epsg3857 extends CrsWithStaticTransformation {
@@ -199,6 +229,11 @@ class Epsg3857 extends CrsWithStaticTransformation {
   bool get replicatesWorldLongitude => true;
 }
 
+/// Non-const CRS with cached scale/zoom.
+class Epsg3857Cached extends Epsg3857 with _ScaleCacheMixin {
+  Epsg3857Cached() : super();
+}
+
 /// EPSG:4326, A common CRS among GIS enthusiasts.
 /// Uses simple Equirectangular projection.
 @immutable
@@ -214,6 +249,11 @@ class Epsg4326 extends CrsWithStaticTransformation {
         );
 }
 
+/// Non-const CRS with cached scale/zoom.
+class Epsg4326Cached extends Epsg4326 with _ScaleCacheMixin {
+  Epsg4326Cached() : super();
+}
+
 /// Custom CRS
 @immutable
 class Proj4Crs extends Crs {