diff --git a/homeassistant/components/alexa/handlers.py b/homeassistant/components/alexa/handlers.py
index a834a18fbf3..03c5acd42fa 100644
--- a/homeassistant/components/alexa/handlers.py
+++ b/homeassistant/components/alexa/handlers.py
@@ -1195,6 +1195,7 @@ async def async_api_adjust_range(hass, config, directive, context):
     service = None
     data = {ATTR_ENTITY_ID: entity.entity_id}
     range_delta = directive.payload["rangeValueDelta"]
+    range_delta_default = bool(directive.payload["rangeValueDeltaDefault"])
     response_value = 0
 
     # Fan Speed
@@ -1220,9 +1221,12 @@ async def async_api_adjust_range(hass, config, directive, context):
 
     # Cover Position
     elif instance == f"{cover.DOMAIN}.{cover.ATTR_POSITION}":
-        range_delta = int(range_delta)
+        range_delta = int(range_delta * 20) if range_delta_default else int(range_delta)
         service = SERVICE_SET_COVER_POSITION
         current = entity.attributes.get(cover.ATTR_POSITION)
+        if not current:
+            msg = "Unable to determine {} current position".format(entity.entity_id)
+            raise AlexaInvalidValueError(msg)
         position = response_value = min(100, max(0, range_delta + current))
         if position == 100:
             service = cover.SERVICE_OPEN_COVER
@@ -1233,9 +1237,14 @@ async def async_api_adjust_range(hass, config, directive, context):
 
     # Cover Tilt
     elif instance == f"{cover.DOMAIN}.tilt":
-        range_delta = int(range_delta)
+        range_delta = int(range_delta * 20) if range_delta_default else int(range_delta)
         service = SERVICE_SET_COVER_TILT_POSITION
         current = entity.attributes.get(cover.ATTR_TILT_POSITION)
+        if not current:
+            msg = "Unable to determine {} current tilt position".format(
+                entity.entity_id
+            )
+            raise AlexaInvalidValueError(msg)
         tilt_position = response_value = min(100, max(0, range_delta + current))
         if tilt_position == 100:
             service = cover.SERVICE_OPEN_COVER_TILT
diff --git a/tests/components/alexa/test_smart_home.py b/tests/components/alexa/test_smart_home.py
index 8ba3b3ab7ff..588192e6c3a 100644
--- a/tests/components/alexa/test_smart_home.py
+++ b/tests/components/alexa/test_smart_home.py
@@ -753,7 +753,7 @@ async def test_fan_range(hass):
         "fan#test_5",
         "fan.set_speed",
         hass,
-        payload={"rangeValue": "1"},
+        payload={"rangeValue": 1},
         instance="fan.speed",
     )
     assert call.data["speed"] == "low"
@@ -764,18 +764,22 @@ async def test_fan_range(hass):
         "fan#test_5",
         "fan.set_speed",
         hass,
-        payload={"rangeValue": "5"},
+        payload={"rangeValue": 5},
         instance="fan.speed",
     )
     assert call.data["speed"] == "warp_speed"
 
     await assert_range_changes(
         hass,
-        [("low", "-1"), ("high", "1"), ("medium", "0"), ("warp_speed", "99")],
+        [
+            ("low", -1, False),
+            ("high", 1, False),
+            ("medium", 0, False),
+            ("warp_speed", 99, False),
+        ],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "fan#test_5",
-        False,
         "fan.set_speed",
         "speed",
         instance="fan.speed",
@@ -802,18 +806,17 @@ async def test_fan_range_off(hass):
         "fan#test_6",
         "fan.turn_off",
         hass,
-        payload={"rangeValue": "0"},
+        payload={"rangeValue": 0},
         instance="fan.speed",
     )
     assert call.data["speed"] == "off"
 
     await assert_range_changes(
         hass,
-        [("off", "-3"), ("off", "-99")],
+        [("off", -3, False), ("off", -99, False)],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "fan#test_6",
-        False,
         "fan.turn_off",
         "speed",
         instance="fan.speed",
@@ -1524,7 +1527,7 @@ async def test_cover_position_range(hass):
         "cover#test_range",
         "cover.set_cover_position",
         hass,
-        payload={"rangeValue": "50"},
+        payload={"rangeValue": 50},
         instance="cover.position",
     )
     assert call.data["position"] == 50
@@ -1535,7 +1538,7 @@ async def test_cover_position_range(hass):
         "cover#test_range",
         "cover.close_cover",
         hass,
-        payload={"rangeValue": "0"},
+        payload={"rangeValue": 0},
         instance="cover.position",
     )
     properties = msg["context"]["properties"][0]
@@ -1549,7 +1552,7 @@ async def test_cover_position_range(hass):
         "cover#test_range",
         "cover.open_cover",
         hass,
-        payload={"rangeValue": "100"},
+        payload={"rangeValue": 100},
         instance="cover.position",
     )
     properties = msg["context"]["properties"][0]
@@ -1563,7 +1566,7 @@ async def test_cover_position_range(hass):
         "cover#test_range",
         "cover.open_cover",
         hass,
-        payload={"rangeValueDelta": "99"},
+        payload={"rangeValueDelta": 99, "rangeValueDeltaDefault": False},
         instance="cover.position",
     )
     properties = msg["context"]["properties"][0]
@@ -1577,7 +1580,7 @@ async def test_cover_position_range(hass):
         "cover#test_range",
         "cover.close_cover",
         hass,
-        payload={"rangeValueDelta": "-99"},
+        payload={"rangeValueDelta": -99, "rangeValueDeltaDefault": False},
         instance="cover.position",
     )
     properties = msg["context"]["properties"][0]
@@ -1587,11 +1590,10 @@ async def test_cover_position_range(hass):
 
     await assert_range_changes(
         hass,
-        [(25, "-5"), (35, "5")],
+        [(25, -5, False), (35, 5, False), (50, 1, True), (10, -1, True)],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "cover#test_range",
-        False,
         "cover.set_cover_position",
         "position",
         instance="cover.position",
@@ -1618,21 +1620,13 @@ async def assert_percentage_changes(
 
 
 async def assert_range_changes(
-    hass,
-    adjustments,
-    namespace,
-    name,
-    endpoint,
-    delta_default,
-    service,
-    changed_parameter,
-    instance,
+    hass, adjustments, namespace, name, endpoint, service, changed_parameter, instance
 ):
     """Assert an API request making range changes works.
 
     AdjustRangeValue are examples of such requests.
     """
-    for result_range, adjustment in adjustments:
+    for result_range, adjustment, delta_default in adjustments:
         payload = {
             "rangeValueDelta": adjustment,
             "rangeValueDeltaDefault": delta_default,
@@ -2488,7 +2482,7 @@ async def test_range_unsupported_domain(hass):
 
     context = Context()
     request = get_new_request("Alexa.RangeController", "SetRangeValue", "switch#test")
-    request["directive"]["payload"] = {"rangeValue": "1"}
+    request["directive"]["payload"] = {"rangeValue": 1}
     request["directive"]["header"]["instance"] = "switch.speed"
 
     msg = await smart_home.async_handle_message(hass, DEFAULT_CONFIG, request, context)
@@ -2855,7 +2849,7 @@ async def test_cover_tilt_position_range(hass):
         "cover#test_tilt_range",
         "cover.open_cover_tilt",
         hass,
-        payload={"rangeValueDelta": 99},
+        payload={"rangeValueDelta": 99, "rangeValueDeltaDefault": False},
         instance="cover.tilt",
     )
     properties = msg["context"]["properties"][0]
@@ -2869,7 +2863,7 @@ async def test_cover_tilt_position_range(hass):
         "cover#test_tilt_range",
         "cover.close_cover_tilt",
         hass,
-        payload={"rangeValueDelta": -99},
+        payload={"rangeValueDelta": -99, "rangeValueDeltaDefault": False},
         instance="cover.tilt",
     )
     properties = msg["context"]["properties"][0]
@@ -2879,11 +2873,10 @@ async def test_cover_tilt_position_range(hass):
 
     await assert_range_changes(
         hass,
-        [(25, "-5"), (35, "5")],
+        [(25, -5, False), (35, 5, False), (50, 1, True), (10, -1, True)],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "cover#test_tilt_range",
-        False,
         "cover.set_cover_tilt_position",
         "tilt_position",
         instance="cover.tilt",
@@ -3038,18 +3031,17 @@ async def test_input_number(hass):
         "input_number#test_slider",
         "input_number.set_value",
         hass,
-        payload={"rangeValue": "10"},
+        payload={"rangeValue": 10},
         instance="input_number.value",
     )
     assert call.data["value"] == 10
 
     await assert_range_changes(
         hass,
-        [(25, "-5"), (35, "5"), (-20, "-100"), (35, "100")],
+        [(25, -5, False), (35, 5, False), (-20, -100, False), (35, 100, False)],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "input_number#test_slider",
-        False,
         "input_number.set_value",
         "value",
         instance="input_number.value",
@@ -3124,18 +3116,23 @@ async def test_input_number_float(hass):
         "input_number#test_slider_float",
         "input_number.set_value",
         hass,
-        payload={"rangeValue": "0.333"},
+        payload={"rangeValue": 0.333},
         instance="input_number.value",
     )
     assert call.data["value"] == 0.333
 
     await assert_range_changes(
         hass,
-        [(0.4, "-0.1"), (0.6, "0.1"), (0, "-100"), (1, "100"), (0.51, "0.01")],
+        [
+            (0.4, -0.1, False),
+            (0.6, 0.1, False),
+            (0, -100, False),
+            (1, 100, False),
+            (0.51, 0.01, False),
+        ],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "input_number#test_slider_float",
-        False,
         "input_number.set_value",
         "value",
         instance="input_number.value",
@@ -3432,7 +3429,7 @@ async def test_vacuum_fan_speed(hass):
         "vacuum#test_2",
         "vacuum.set_fan_speed",
         hass,
-        payload={"rangeValue": "1"},
+        payload={"rangeValue": 1},
         instance="vacuum.fan_speed",
     )
     assert call.data["fan_speed"] == "low"
@@ -3443,18 +3440,22 @@ async def test_vacuum_fan_speed(hass):
         "vacuum#test_2",
         "vacuum.set_fan_speed",
         hass,
-        payload={"rangeValue": "5"},
+        payload={"rangeValue": 5},
         instance="vacuum.fan_speed",
     )
     assert call.data["fan_speed"] == "super_sucker"
 
     await assert_range_changes(
         hass,
-        [("low", "-1"), ("high", "1"), ("medium", "0"), ("super_sucker", "99")],
+        [
+            ("low", -1, False),
+            ("high", 1, False),
+            ("medium", 0, False),
+            ("super_sucker", 99, False),
+        ],
         "Alexa.RangeController",
         "AdjustRangeValue",
         "vacuum#test_2",
-        False,
         "vacuum.set_fan_speed",
         "fan_speed",
         instance="vacuum.fan_speed",