diff --git a/tests/run-tests b/tests/run-tests
index 7340d5f550..e30ef104f9 100755
--- a/tests/run-tests
+++ b/tests/run-tests
@@ -182,6 +182,7 @@ def run_tests(pyb, tests, args):
         skip_tests.add('cmdline/cmd_showbc.py')
 
     upy_byteorder = run_micropython(pyb, args, 'feature_check/byteorder.py')
+    has_complex = run_micropython(pyb, args, 'feature_check/complex.py') == b'complex\n'
     cpy_byteorder = subprocess.check_output([CPYTHON3, 'feature_check/byteorder.py'])
     skip_endian = (upy_byteorder != cpy_byteorder)
 
@@ -189,6 +190,12 @@ def run_tests(pyb, tests, args):
     if os.getenv('TRAVIS') == 'true':
         skip_tests.add('basics/memoryerror.py')
 
+    if not has_complex:
+        skip_tests.add('float/complex1.py')
+        skip_tests.add('float/int_big_float.py')
+        skip_tests.add('float/true_value.py')
+        skip_tests.add('float/types.py')
+
     # Some tests shouldn't be run on pyboard
     if pyb is not None:
         skip_tests.add('basics/exception_chain.py') # warning is not printed