Correct

次 vs 遍

/ cì vs biàn /
Strokes

Formula

1
第一次全国代表大会 (the First National People's Congress)
2
第二次国内战争 (the Second CivilWar)
3
第三次旅行 (the third tour)
4
初次 (first time)
5
再次 (second time)
6
前次 (last time)
7
第一次(遍)
8
一次(遍)
9
前一次(遍)
10
后一次(遍)
11
最后一次(遍)
12
读一遍
13
写一遍
14
唱,一遍
15
说一遍
16
画一遍
17
一次次
18
一遍遍

Definition

次 and 遍 both are verbal measure words to indicate "the repetition of an action". 遍 also stresses the course of the action.

Example

次 can be applied to the formal reoccurrence of major events; while 遍 cannot be so used.
第一次全国代表大会 (the First National People's Congress) 第二次国内战争 (the Second CivilWar) 第三次旅行 (the third tour)
次 can make up phrases; while 遍 cannot make up such phrases.
初次 (first time) 再次 (second time) 前次 (last time)
1
Chū
初次
jiànmiàn
见面
  
,
qǐng
duōduō
多多
guānzhào
关照
  

When you meet for the first time, please pay more attention.

次 and 遍, both words can be quanlified by a numeral preceded with 第, 前, 后, 最后.
1) With 第, used before numerals to form ordinal numbers;

2) 二遍 is rarely used, but 二次 can be used.
第一次(遍) 一次(遍) 前一次(遍) 后一次(遍) 最后一次(遍)
2
Qǐng
wén
课文
dòu
biàn
  

Please read the text again.

次 is used more often; 遍 stresses a course from beginning to end and so is applied to actions like 读, 写, 唱, 说, 画, etc. which invlove a course.
读一遍 写一遍 唱,一遍 说一遍 画一遍
3
lái
guò
liǎng
běijīng
北京
  

He has been to Beijing twice.

4
cóngtóudàowěi
从头到尾
yòu
tái
台词
niàn
le
biàn
  

He read again his lines from the beginning to the end.

5
rènzhēn
认真
le
biàn
tàiquán
太极拳
  

He practiced Taijiquan earnestly.

Some actions feature repetition as well as duration, so either 次 or 遍 can be used.
6
Zhè
shǒu
zài
jiào
  
(
biàn
  
)
  

Please teach me the song again.

7
shuō
le
  
(
biàn
  
)
yòu
  
(
biàn
  
)
  

He repeated it over and over again.

次 and 遍, both words can be reduplicated.
一次次 一遍遍
8
次次
de
zàofǎng
造访
  
,
dōu
méiyǒu
没有
jiàndào
见到
zhǔrén
主人
  

He visited the house again and again but he failed to see the host.

9
biàn
biànde
遍地
liàn
练习
  
,
zhōng
终于
zhǎng
掌握
le
dòngzuò
动作
yàolǐng
要领
  

He practised again and again and finally got the snack of it.