diff --git a/Tests/CMakeTests/CMakeLists.txt b/Tests/CMakeTests/CMakeLists.txt
index 25996de0d..31417be64 100644
--- a/Tests/CMakeTests/CMakeLists.txt
+++ b/Tests/CMakeTests/CMakeLists.txt
@@ -23,6 +23,8 @@ AddCMakeTest(SeparateArguments "")
 AddCMakeTest(ImplicitLinkInfo "")
 AddCMakeTest(ModuleNotices "")
 AddCMakeTest(String "")
+AddCMakeTest(Math "")
+AddCMakeTest(CMakeMinimumRequired "")
 
 SET(GetPrerequisites_PreArgs
   "-DCTEST_CONFIGURATION_TYPE:STRING=\\\${CTEST_CONFIGURATION_TYPE}"
diff --git a/Tests/CMakeTests/CMakeMinimumRequiredTest.cmake.in b/Tests/CMakeTests/CMakeMinimumRequiredTest.cmake.in
new file mode 100644
index 000000000..b83a779bb
--- /dev/null
+++ b/Tests/CMakeTests/CMakeMinimumRequiredTest.cmake.in
@@ -0,0 +1,18 @@
+# Execute each test listed in:
+#
+set(scriptname "@CMAKE_CURRENT_SOURCE_DIR@/CMakeMinimumRequiredTestScript.cmake")
+set(number_of_tests_expected 8)
+
+include("@CMAKE_CURRENT_SOURCE_DIR@/ExecuteScriptTests.cmake")
+execute_all_script_tests(${scriptname} number_of_tests_executed)
+
+# And verify that number_of_tests_executed is at least as many as we know
+# about as of this writing...
+#
+message(STATUS "scriptname='${scriptname}'")
+message(STATUS "number_of_tests_executed='${number_of_tests_executed}'")
+message(STATUS "number_of_tests_expected='${number_of_tests_expected}'")
+
+if(number_of_tests_executed LESS number_of_tests_expected)
+  message(FATAL_ERROR "error: some test cases were skipped")
+endif()
diff --git a/Tests/CMakeTests/CMakeMinimumRequiredTestScript.cmake b/Tests/CMakeTests/CMakeMinimumRequiredTestScript.cmake
new file mode 100644
index 000000000..d434d2901
--- /dev/null
+++ b/Tests/CMakeTests/CMakeMinimumRequiredTestScript.cmake
@@ -0,0 +1,31 @@
+message(STATUS "testname='${testname}'")
+
+if(testname STREQUAL empty) # pass
+  cmake_minimum_required()
+
+elseif(testname STREQUAL bogus) # fail
+  cmake_minimum_required(BOGUS)
+
+elseif(testname STREQUAL no_version) # fail
+  cmake_minimum_required(VERSION)
+
+elseif(testname STREQUAL no_version_before_fatal_error) # fail
+  cmake_minimum_required(VERSION FATAL_ERROR)
+
+elseif(testname STREQUAL bad_version) # fail
+  cmake_minimum_required(VERSION 2.blah.blah)
+
+elseif(testname STREQUAL worse_version) # fail
+  cmake_minimum_required(VERSION blah.blah.blah)
+
+elseif(testname STREQUAL future_version) # fail
+  math(EXPR major "${CMAKE_MAJOR_VERSION} + 1")
+  cmake_minimum_required(VERSION ${major}.2.1)
+
+elseif(testname STREQUAL unknown_arg) # fail
+  cmake_minimum_required(VERSION ${CMAKE_MAJOR_VERSION}.0.0 SILLY)
+
+else() # fail
+  message(FATAL_ERROR "testname='${testname}' - error: no such test in '${CMAKE_CURRENT_LIST_FILE}'")
+
+endif()
diff --git a/Tests/CMakeTests/MathTest.cmake.in b/Tests/CMakeTests/MathTest.cmake.in
new file mode 100644
index 000000000..91cd9220a
--- /dev/null
+++ b/Tests/CMakeTests/MathTest.cmake.in
@@ -0,0 +1,18 @@
+# Execute each test listed in:
+#
+set(scriptname "@CMAKE_CURRENT_SOURCE_DIR@/MathTestScript.cmake")
+set(number_of_tests_expected 4)
+
+include("@CMAKE_CURRENT_SOURCE_DIR@/ExecuteScriptTests.cmake")
+execute_all_script_tests(${scriptname} number_of_tests_executed)
+
+# And verify that number_of_tests_executed is at least as many as we know
+# about as of this writing...
+#
+message(STATUS "scriptname='${scriptname}'")
+message(STATUS "number_of_tests_executed='${number_of_tests_executed}'")
+message(STATUS "number_of_tests_expected='${number_of_tests_expected}'")
+
+if(number_of_tests_executed LESS number_of_tests_expected)
+  message(FATAL_ERROR "error: some test cases were skipped")
+endif()
diff --git a/Tests/CMakeTests/MathTestScript.cmake b/Tests/CMakeTests/MathTestScript.cmake
new file mode 100644
index 000000000..1b7f8a6f3
--- /dev/null
+++ b/Tests/CMakeTests/MathTestScript.cmake
@@ -0,0 +1,18 @@
+message(STATUS "testname='${testname}'")
+
+if(testname STREQUAL empty) # fail
+  math()
+
+elseif(testname STREQUAL bogus) # fail
+  math(BOGUS)
+
+elseif(testname STREQUAL not_enough_args) # fail
+  math(EXPR x)
+
+elseif(testname STREQUAL cannot_parse) # fail
+  math(EXPR x "1 + 2 +")
+
+else() # fail
+  message(FATAL_ERROR "testname='${testname}' - error: no such test in '${CMAKE_CURRENT_LIST_FILE}'")
+
+endif()