diff --git a/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmManager.cpp b/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmManager.cpp
index ca5c4f916097..ad6c7bea3007 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmManager.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmManager.cpp
@@ -124,8 +124,10 @@ GNU_DIAG_OFF("unused-local-typedef")
 // Seen with GCC 7.1.1 and Boost 1.63.0
 GNU_DIAG_OFF("conversion")
 /// Define overload generators
+// cppcheck-suppress unknownMacro
 BOOST_PYTHON_FUNCTION_OVERLOADS(create_overloads, create, 2, 3)
 BOOST_PYTHON_FUNCTION_OVERLOADS(createUnmanaged_overloads, createUnmanaged, 2, 3)
+
 GNU_DIAG_ON("conversion")
 GNU_DIAG_ON("unused-local-typedef")
 ///@endcond
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmProperty.cpp b/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmProperty.cpp
index b386d8151b84..5eba265958d7 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmProperty.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmProperty.cpp
@@ -27,7 +27,7 @@ namespace {
  * @param direction An output/input/inout property
  * @return A pointer to a new AlgorithmProperty object
  */
-AlgorithmProperty *createPropertyWithValidatorAndDirection(const std::string &name, IValidator *validator,
+AlgorithmProperty *createPropertyWithValidatorAndDirection(const std::string &name, const IValidator *validator,
                                                            unsigned int direction) {
   return new AlgorithmProperty(name, validator->clone(), direction);
 }
@@ -39,9 +39,10 @@ AlgorithmProperty *createPropertyWithValidatorAndDirection(const std::string &na
  * when passed to the framework
  * @return A pointer to a new AlgorithmProperty object
  */
-AlgorithmProperty *createPropertyWithValidator(const std::string &name, IValidator *validator) {
+static const AlgorithmProperty *(*const createPropertyWithValidator)(const std::string &, const IValidator *) =
+    +[](const std::string &name, const IValidator *validator) -> const AlgorithmProperty * {
   return createPropertyWithValidatorAndDirection(name, validator, Mantid::Kernel::Direction::Input);
-}
+};
 } // namespace
 
 void export_AlgorithmProperty() {
@@ -54,7 +55,7 @@ void export_AlgorithmProperty() {
       .def(init<const std::string &>(args("name")))
       // These variants require the validator object to be cloned
       .def("__init__",
-           make_constructor(&createPropertyWithValidator, default_call_policies(), args("name", "validator")))
+           make_constructor(createPropertyWithValidator, default_call_policies(), args("name", "validator")))
       .def("__init__", make_constructor(&createPropertyWithValidatorAndDirection, default_call_policies(),
                                         args("name", "validator", "direction")));
 }
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/Axis.cpp b/Framework/PythonInterface/mantid/api/src/Exports/Axis.cpp
index c14f3028de25..b79d55155993 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/Axis.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/Axis.cpp
@@ -41,6 +41,7 @@ GNU_DIAG_OFF("unused-local-typedef")
 GNU_DIAG_OFF("conversion")
 
 // Overloads for operator() function which has 1 optional argument
+// cppcheck-suppress unknownMacro
 BOOST_PYTHON_MEMBER_FUNCTION_OVERLOADS(Axis_getValue, Axis::getValue, 1, 2)
 
 GNU_DIAG_ON("conversion")
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/ExperimentInfo.cpp b/Framework/PythonInterface/mantid/api/src/Exports/ExperimentInfo.cpp
index ea5b7fc79e78..0a7750bdf82e 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/ExperimentInfo.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/ExperimentInfo.cpp
@@ -54,6 +54,7 @@ GNU_DIAG_OFF("unused-local-typedef")
 // Seen with GCC 7.1.1 and Boost 1.63.0
 GNU_DIAG_OFF("conversion")
 /// Overload generator for getInstrumentFilename
+// cppcheck-suppress unknownMacro
 BOOST_PYTHON_FUNCTION_OVERLOADS(getInstrumentFilename_Overload, getInstrumentFilenameWarn, 1, 2)
 GNU_DIAG_ON("conversion")
 GNU_DIAG_ON("unused-local-typedef")
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp
index d4d52209d692..de382e450ec9 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp
@@ -221,7 +221,7 @@ std::string createDocString(const IAlgorithm &self) {
   buffer << "Property descriptions: " << EOL << EOL;
   // write the actual property descriptions
   for (size_t i = 0; i < numProps; ++i) {
-    Mantid::Kernel::Property *prop = properties[i];
+    const Mantid::Kernel::Property *prop = properties[i];
     buffer << prop->name() << "(" << Mantid::Kernel::Direction::asText(prop->direction());
     if (!prop->isValid().empty())
       buffer << ":req";
@@ -251,7 +251,7 @@ std::string createDocString(const IAlgorithm &self) {
 struct AllowCThreads {
   explicit AllowCThreads(const object &algm)
       : m_tracefunc(nullptr), m_tracearg(nullptr), m_saved(nullptr), m_tracking(false) {
-    PyThreadState *curThreadState = PyThreadState_GET();
+    const PyThreadState *curThreadState = PyThreadState_GET();
     m_tracefunc = curThreadState->c_tracefunc;
     m_tracearg = curThreadState->c_traceobj;
     Py_XINCREF(m_tracearg);
@@ -315,8 +315,7 @@ PyObject *getAlgorithmID(const IAlgorithm &self) {
   AlgorithmID id = self.getAlgorithmID();
   if (id)
     return to_python_value<AlgorithmIDProxy>()(AlgorithmIDProxy(id));
-  else
-    Py_RETURN_NONE;
+  return Py_NewRef(Py_None);
 }
 
 //--------------------------------------------------------------------------------------
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp
index c572110c4252..31e4aa2ba1cd 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp
@@ -72,12 +72,12 @@ void export_IEventList() {
            "Mask out events that have a tof between tofMin and tofMax "
            "(inclusively)")
       .def("maskCondition", &maskCondition, args("self", "mask"), "Mask out events by the condition vector")
-      .def("getTofs", (std::vector<double>(IEventList::*)(void) const) & IEventList::getTofs, args("self"),
+      .def("getTofs", (std::vector<double>(IEventList::*)() const) & IEventList::getTofs, args("self"),
            return_clone_numpy(), "Get a vector of the TOFs of the events")
-      .def("getWeights", (std::vector<double>(IEventList::*)(void) const) & IEventList::getWeights, args("self"),
+      .def("getWeights", (std::vector<double>(IEventList::*)() const) & IEventList::getWeights, args("self"),
+           return_clone_numpy(), "Get a vector of the weights of the events")
+      .def("getWeightErrors", (std::vector<double>(IEventList::*)() const) & IEventList::getWeightErrors, args("self"),
            return_clone_numpy(), "Get a vector of the weights of the events")
-      .def("getWeightErrors", (std::vector<double>(IEventList::*)(void) const) & IEventList::getWeightErrors,
-           args("self"), return_clone_numpy(), "Get a vector of the weights of the events")
       .def("getPulseTimes", &IEventList::getPulseTimes, args("self"), "Get a vector of the pulse times of the events")
       .def("getPulseTimesAsNumpy",
            make_function(&IEventList::getPulseTimes, return_value_policy<Policies::VectorToNumpy>()),
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IFunction.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IFunction.cpp
index 6dfe52c6be17..a1ac0cae973d 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IFunction.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IFunction.cpp
@@ -147,6 +147,7 @@ BOOST_PYTHON_MEMBER_FUNCTION_OVERLOADS(declareAttributeType1_Overloads, declareA
 using declareAttributeType2 = void (IFunctionAdapter::*)(const std::string &name,
                                                          const boost::python::object &defaultValue,
                                                          const boost::python::object &validator);
+// cppcheck-suppress unknownMacro
 BOOST_PYTHON_MEMBER_FUNCTION_OVERLOADS(declareAttributeType2_Overloads, declareAttribute, 3, 3)
 
 BOOST_PYTHON_MEMBER_FUNCTION_OVERLOADS(tie_Overloads, tie, 2, 3)
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IFunction1D.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IFunction1D.cpp
index 244612b417a2..75fb3fc0926c 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IFunction1D.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IFunction1D.cpp
@@ -20,6 +20,8 @@ void export_IFunction1D() {
    */
   class_<IFunction1D, bases<IFunction>, std::shared_ptr<IFunction1DAdapter>, boost::noncopyable>(
       "IFunction1D", "Base class for 1D Fit functions")
+      // suppress c-style cast of Function1D object - think this is desired behaviour
+      // cppcheck-suppress cstyleCast
       .def("function1D", (object(IFunction1DAdapter::*)(const object &) const)&IFunction1DAdapter::function1D,
            (arg("self"), arg("xvals")),
            "Calculate the values of the function for the given x values and "
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IMaskWorkspace.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IMaskWorkspace.cpp
index 2381f526603c..f631decdc603 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IMaskWorkspace.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IMaskWorkspace.cpp
@@ -41,6 +41,7 @@ void export_IMaskWorkspace() {
       .def("isMasked", isMaskedFromList, (arg("self"), arg("detector_id_list")),
            "Returns whether all of the given detector ID list are masked");
 
-  // register pointers
+  // register pointers - required to map between C++ type T and python type
+  // cppcheck-suppress unusedScopedObject
   RegisterWorkspacePtrToPython<IMaskWorkspace>();
 }
diff --git a/Framework/PythonInterface/mantid/api/src/Exports/IPeakFunction.cpp b/Framework/PythonInterface/mantid/api/src/Exports/IPeakFunction.cpp
index 81dc15df0da8..164f0bdff9c4 100644
--- a/Framework/PythonInterface/mantid/api/src/Exports/IPeakFunction.cpp
+++ b/Framework/PythonInterface/mantid/api/src/Exports/IPeakFunction.cpp
@@ -17,9 +17,10 @@ using namespace boost::python;
 void export_IPeakFunction() {
 
   register_ptr_to_python<std::shared_ptr<IPeakFunction>>();
-
   class_<IPeakFunction, bases<IFunction1D>, std::shared_ptr<IPeakFunctionAdapter>, boost::noncopyable>(
       "IPeakFunction", "Base class for peak Fit functions")
+      // suppress c-style cast of IPeakFunction object - think this is desired behaviour
+      // cppcheck-suppress cstyleCast
       .def("functionLocal", (object(IPeakFunctionAdapter::*)(const object &) const)&IPeakFunctionAdapter::functionLocal,
            (arg("self"), arg("vec_x")),
            "Calculate the values of the function for the given x values. The "
diff --git a/buildconfig/CMake/CppCheck_Suppressions.txt.in b/buildconfig/CMake/CppCheck_Suppressions.txt.in
index 611db6b788de..14c0215edbfa 100644
--- a/buildconfig/CMake/CppCheck_Suppressions.txt.in
+++ b/buildconfig/CMake/CppCheck_Suppressions.txt.in
@@ -837,20 +837,11 @@ constVariablePointer:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/sr
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/Algorithm.cpp:76
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmFactory.cpp:155
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmManager.cpp:127
-constParameterCallback:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/AlgorithmProperty.cpp:30
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/Axis.cpp:44
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/ExperimentInfo.cpp:57
-constVariablePointer:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp:224
-constVariablePointer:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp:254
-missingReturn:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IAlgorithm.cpp:319
-cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp:75
-cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp:77
-cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IEventList.cpp:79
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IFunction.cpp:150
-cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IFunction1D.cpp:23
 cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IMDHistoWorkspace.cpp:50
 unusedScopedObject:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IMaskWorkspace.cpp:45
-cstyleCast:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/IPeakFunction.cpp:23
 unusedScopedObject:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/ISplittersWorkspace.cpp:25
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/ITableWorkspace.cpp:251
 unknownMacro:${CMAKE_SOURCE_DIR}/Framework/PythonInterface/mantid/api/src/Exports/InstrumentFileFinder.cpp:36