diff --git a/test/parallel/test-console-instance.js b/test/parallel/test-console-instance.js
index b8d9880865..4d2727d96b 100644
--- a/test/parallel/test-console-instance.js
+++ b/test/parallel/test-console-instance.js
@@ -15,7 +15,7 @@ process.stdout.write = process.stderr.write = function() {
 };
 
 // make sure that the "Console" function exists
-assert.equal('function', typeof Console);
+assert.strictEqual('function', typeof Console);
 
 // make sure that the Console constructor throws
 // when not given a writable stream instance
@@ -35,7 +35,7 @@ out.write = err.write = function(d) {};
 var c = new Console(out, err);
 
 out.write = err.write = function(d) {
-  assert.equal(d, 'test\n');
+  assert.strictEqual(d, 'test\n');
   called = true;
 };
 
@@ -48,7 +48,7 @@ c.error('test');
 assert(called);
 
 out.write = function(d) {
-  assert.equal('{ foo: 1 }\n', d);
+  assert.strictEqual('{ foo: 1 }\n', d);
   called = true;
 };
 
@@ -60,10 +60,10 @@ assert(called);
 called = 0;
 out.write = function(d) {
   called++;
-  assert.equal(d, called + ' ' + (called - 1) + ' [ 1, 2, 3 ]\n');
+  assert.strictEqual(d, called + ' ' + (called - 1) + ' [ 1, 2, 3 ]\n');
 };
 [1, 2, 3].forEach(c.log);
-assert.equal(3, called);
+assert.strictEqual(3, called);
 
 // Console() detects if it is called without `new` keyword
 assert.doesNotThrow(function() {
diff --git a/test/parallel/test-dgram-msgsize.js b/test/parallel/test-dgram-msgsize.js
index 6330e2a82b..6cc415e83c 100644
--- a/test/parallel/test-dgram-msgsize.js
+++ b/test/parallel/test-dgram-msgsize.js
@@ -1,18 +1,18 @@
 'use strict';
-var common = require('../common');
-var assert = require('assert');
-var dgram = require('dgram');
+const common = require('../common');
+const assert = require('assert');
+const dgram = require('dgram');
 
 // Send a too big datagram. The destination doesn't matter because it's
 // not supposed to get sent out anyway.
-var buf = Buffer(256 * 1024);
-var sock = dgram.createSocket('udp4');
+const buf = Buffer.allocUnsafe(256 * 1024);
+const sock = dgram.createSocket('udp4');
 sock.send(buf, 0, buf.length, 12345, '127.0.0.1', common.mustCall(cb));
 function cb(err) {
   assert(err instanceof Error);
-  assert.equal(err.code, 'EMSGSIZE');
-  assert.equal(err.address, '127.0.0.1');
-  assert.equal(err.port, 12345);
-  assert.equal(err.message, 'send EMSGSIZE 127.0.0.1:12345');
+  assert.strictEqual(err.code, 'EMSGSIZE');
+  assert.strictEqual(err.address, '127.0.0.1');
+  assert.strictEqual(err.port, 12345);
+  assert.strictEqual(err.message, 'send EMSGSIZE 127.0.0.1:12345');
   sock.close();
 }