diff --git a/modules/juce_core/maths/juce_BigInteger.cpp b/modules/juce_core/maths/juce_BigInteger.cpp
index b749c7d7f0..e270823398 100644
--- a/modules/juce_core/maths/juce_BigInteger.cpp
+++ b/modules/juce_core/maths/juce_BigInteger.cpp
@@ -873,12 +873,12 @@ void BigInteger::inverseModulo (const BigInteger& modulus)
 
     while (! a2.isOne())
     {
-        BigInteger temp1, temp2, multiplier (a1);
+        BigInteger temp1, multiplier (a1);
         multiplier.divideBy (a2, temp1);
 
         temp1 = a2;
         temp1 *= multiplier;
-        temp2 = a1;
+        BigInteger temp2 (a1);
         temp2 -= temp1;
         a1 = a2;
         a2 = temp2;
diff --git a/modules/juce_core/maths/juce_Random.cpp b/modules/juce_core/maths/juce_Random.cpp
index 850d4d346e..3b4118d376 100644
--- a/modules/juce_core/maths/juce_Random.cpp
+++ b/modules/juce_core/maths/juce_Random.cpp
@@ -137,4 +137,42 @@ void Random::fillBitsRandomly (BigInteger& arrayToChange, int startBit, int numB
         arrayToChange.setBit (startBit + numBits, nextBool());
 }
 
+//==============================================================================
+#if JUCE_UNIT_TESTS
+
+class RandomTests  : public UnitTest
+{
+public:
+    RandomTests() : UnitTest ("Random") {}
+
+    void runTest()
+    {
+        beginTest ("Random");
+
+        for (int j = 10; --j >= 0;)
+        {
+            Random r;
+            r.setSeedRandomly();
+
+            for (int i = 20; --i >= 0;)
+            {
+                expect (r.nextDouble() >= 0.0 && r.nextDouble() < 1.0);
+                expect (r.nextFloat() >= 0.0f && r.nextFloat() < 1.0f);
+                expect (r.nextInt (5) >= 0 && r.nextInt (5) < 5);
+                expect (r.nextInt (1) == 0);
+
+                int n = r.nextInt (50) + 1;
+                expect (r.nextInt (n) >= 0 && r.nextInt (n) < n);
+
+                n = r.nextInt (0x7ffffffe) + 1;
+                expect (r.nextInt (n) >= 0 && r.nextInt (n) < n);
+            }
+        }
+    }
+};
+
+static RandomTests randomTests;
+
+#endif
+
 END_JUCE_NAMESPACE
diff --git a/modules/juce_core/unit_tests/juce_UnitTest.cpp b/modules/juce_core/unit_tests/juce_UnitTest.cpp
index 00e0a6740f..6626100126 100644
--- a/modules/juce_core/unit_tests/juce_UnitTest.cpp
+++ b/modules/juce_core/unit_tests/juce_UnitTest.cpp
@@ -76,7 +76,9 @@ void UnitTest::expect (const bool result, const String& failureMessage)
 
 //==============================================================================
 UnitTestRunner::UnitTestRunner()
-    : currentTest (nullptr), assertOnFailure (false)
+    : currentTest (nullptr),
+      assertOnFailure (false),
+      logPasses (false)
 {
 }
 
@@ -84,6 +86,16 @@ UnitTestRunner::~UnitTestRunner()
 {
 }
 
+void UnitTestRunner::setAssertOnFailure (bool shouldAssert) noexcept
+{
+    assertOnFailure = shouldAssert;
+}
+
+void UnitTestRunner::setPassesAreLogged (bool shouldDisplayPasses) noexcept
+{
+    logPasses = shouldDisplayPasses;
+}
+
 int UnitTestRunner::getNumResults() const noexcept
 {
     return results.size();
@@ -98,10 +110,9 @@ void UnitTestRunner::resultsUpdated()
 {
 }
 
-void UnitTestRunner::runTests (const Array<UnitTest*>& tests, const bool assertOnFailure_)
+void UnitTestRunner::runTests (const Array<UnitTest*>& tests)
 {
     results.clear();
-    assertOnFailure = assertOnFailure_;
     resultsUpdated();
 
     for (int i = 0; i < tests.size(); ++i)
@@ -119,9 +130,9 @@ void UnitTestRunner::runTests (const Array<UnitTest*>& tests, const bool assertO
     endTest();
 }
 
-void UnitTestRunner::runAllTests (const bool assertOnFailure_)
+void UnitTestRunner::runAllTests()
 {
-    runTests (UnitTest::getAllTests(), assertOnFailure_);
+    runTests (UnitTest::getAllTests());
 }
 
 void UnitTestRunner::logMessage (const String& message)
@@ -135,11 +146,11 @@ void UnitTestRunner::beginNewTest (UnitTest* const test, const String& subCatego
     currentTest = test;
 
     TestResult* const r = new TestResult();
+    results.add (r);
     r->unitTestName = test->getName();
     r->subcategoryName = subCategory;
     r->passes = 0;
     r->failures = 0;
-    results.add (r);
 
     logMessage ("-----------------------------------------------------------------");
     logMessage ("Starting test: " + r->unitTestName + " / " + subCategory + "...");
@@ -180,9 +191,12 @@ void UnitTestRunner::addPass()
 
         r->passes++;
 
-        String message ("Test ");
-        message << (r->failures + r->passes) << " passed";
-        logMessage (message);
+        if (logPasses)
+        {
+            String message ("Test ");
+            message << (r->failures + r->passes) << " passed";
+            logMessage (message);
+        }
     }
 
     resultsUpdated();
diff --git a/modules/juce_core/unit_tests/juce_UnitTest.h b/modules/juce_core/unit_tests/juce_UnitTest.h
index f11d93e353..942d984033 100644
--- a/modules/juce_core/unit_tests/juce_UnitTest.h
+++ b/modules/juce_core/unit_tests/juce_UnitTest.h
@@ -198,12 +198,22 @@ public:
         The tests are performed in order, and the results are logged. To run all the
         registered UnitTest objects that exist, use runAllTests().
     */
-    void runTests (const Array<UnitTest*>& tests, bool assertOnFailure);
+    void runTests (const Array<UnitTest*>& tests);
 
     /** Runs all the UnitTest objects that currently exist.
         This calls runTests() for all the objects listed in UnitTest::getAllTests().
     */
-    void runAllTests (bool assertOnFailure);
+    void runAllTests();
+
+    /** Sets a flag to indicate whether an assertion should be triggered if a test fails.
+        This is true by default.
+    */
+    void setAssertOnFailure (bool shouldAssert) noexcept;
+
+    /** Sets a flag to indicate whether successful tests should be logged.
+        By default, this is set to false, so that only failures will be displayed in the log.
+    */
+    void setPassesAreLogged (bool shouldDisplayPasses) noexcept;
 
     //==============================================================================
     /** Contains the results of a test.
@@ -257,7 +267,7 @@ private:
     UnitTest* currentTest;
     String currentSubCategory;
     OwnedArray <TestResult, CriticalSection> results;
-    bool assertOnFailure;
+    bool assertOnFailure, logPasses;
 
     void beginNewTest (UnitTest* test, const String& subCategory);
     void endTest();