diff --git a/src/cmd/ksh93/tests/builtins.sh b/src/cmd/ksh93/tests/builtins.sh
index 2f43aab5f..58ed91cff 100755
--- a/src/cmd/ksh93/tests/builtins.sh
+++ b/src/cmd/ksh93/tests/builtins.sh
@@ -679,5 +679,12 @@ expect=$'*: times: incorrect syntax'
 actual=$(set +x; eval 'times Extra Args' 2>&1)
 [[ $actual == $expect ]] || err_exit "times with args: expected $(printf %q "$expect"), got $(printf %q "$actual"))"
 
+# ======
+# 'whence' builtin
+PATH=$tmp:$PATH $SHELL <<-\EOF || err_exit "'whence' gets wrong path on init"
+	wc=$(whence wc)
+	[[ -x $wc ]]
+EOF
+
 # ======
 exit $((Errors<125?Errors:125))
diff --git a/src/cmd/ksh93/tests/subshell.sh b/src/cmd/ksh93/tests/subshell.sh
index 37da42fc4..8187ca933 100755
--- a/src/cmd/ksh93/tests/subshell.sh
+++ b/src/cmd/ksh93/tests/subshell.sh
@@ -613,8 +613,7 @@ printf=$(whence -p printf)
 $SHELL 2> /dev/null -c '( PATH=/bin; set -o restricted) ; exit 0'  || err_exit 'restoring PATH when a subshell enables restricted exits not working'
 
 $SHELL <<- \EOF
-	wc=$(whence wc) head=$(whence head)
-	print > /dev/null  $( ( $head -c 1 /dev/zero | ( $wc -c) 3>&1 ) 3>&1) &
+	print > /dev/null  $( ( dd if=/dev/zero bs=1 count=1 2>/dev/null | ( wc -c) 3>&1 ) 3>&1) &
 	pid=$!
 	sleep .2
 	kill -9 $! 2> /dev/null && err_exit '/dev/zero in command substitution hangs'
diff --git a/src/cmd/ksh93/tests/variables.sh b/src/cmd/ksh93/tests/variables.sh
index ecf0347d2..db93f93ef 100755
--- a/src/cmd/ksh93/tests/variables.sh
+++ b/src/cmd/ksh93/tests/variables.sh
@@ -440,7 +440,7 @@ function foo
 
 }
 x=$(foo)
-(( x >.001 && x < .01 ))
+(( x >.001 && x < 1 ))
 '
 } 2> /dev/null   || err_exit 'SECONDS not working in function'
 cat > $tmp/script <<-\!