Scroll:Whole Numbers >> Division >> ps (523)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

In a school, there were 334 more boys than girls.
When another 40 girls and 42 boys joined the school,
the total enrolment of the school became 2340.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 390 more boys than girls.
When another 76 girls and 132 boys joined the school,
the total enrolment of the school became 2996.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 444 more boys than girls.
When another 22 girls and 90 boys joined the school,
the total enrolment of the school became 2950.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 364 more boys than girls.
When another 52 girls and 20 boys joined the school,
the total enrolment of the school became 2422.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 430 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2376.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 402 more boys than girls.
When another 22 girls and 42 boys joined the school,
the total enrolment of the school became 2880.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 344 more boys than girls.
When another 48 girls and 90 boys joined the school,
the total enrolment of the school became 2034.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 408 more boys than girls.
When another 76 girls and 40 boys joined the school,
the total enrolment of the school became 2222.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 420 more boys than girls.
When another 38 girls and 22 boys joined the school,
the total enrolment of the school became 2436.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 340 more boys than girls.
When another 68 girls and 74 boys joined the school,
the total enrolment of the school became 2120.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 334 more boys than girls.
When another 40 girls and 42 boys joined the school,
the total enrolment of the school became 2340.
How many boys were there at first
Answer: 1296


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
334
+ 42
Girls
 
+ 40
 
 
2340
 
 
 
girls joined

 

Step 1: 2340 - 40 - 334 - 42 = 1924
Step 2: 1924 ÷ 2 = 962
Step 3: 962 + 334 = 1296

There were 1296 boys at first.



2)  

In a school, there were 390 more boys than girls.
When another 76 girls and 132 boys joined the school,
the total enrolment of the school became 2996.
How many boys were there at first
Answer: 1589


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
390
+ 132
Girls
 
+ 76
 
 
2996
 
 
 
girls joined

 

Step 1: 2996 - 76 - 390 - 132 = 2398
Step 2: 2398 ÷ 2 = 1199
Step 3: 1199 + 390 = 1589

There were 1589 boys at first.



3)  

In a school, there were 444 more boys than girls.
When another 22 girls and 90 boys joined the school,
the total enrolment of the school became 2950.
How many boys were there at first
Answer: 1641


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
444
+ 90
Girls
 
+ 22
 
 
2950
 
 
 
girls joined

 

Step 1: 2950 - 22 - 444 - 90 = 2394
Step 2: 2394 ÷ 2 = 1197
Step 3: 1197 + 444 = 1641

There were 1641 boys at first.



4)  

In a school, there were 364 more boys than girls.
When another 52 girls and 20 boys joined the school,
the total enrolment of the school became 2422.
How many boys were there at first
Answer: 1357


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
364
+ 20
Girls
 
+ 52
 
 
2422
 
 
 
girls joined

 

Step 1: 2422 - 52 - 364 - 20 = 1986
Step 2: 1986 ÷ 2 = 993
Step 3: 993 + 364 = 1357

There were 1357 boys at first.



5)  

In a school, there were 430 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2376.
How many boys were there at first
Answer: 1346


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
430
+ 62
Girls
 
+ 52
 
 
2376
 
 
 
girls joined

 

Step 1: 2376 - 52 - 430 - 62 = 1832
Step 2: 1832 ÷ 2 = 916
Step 3: 916 + 430 = 1346

There were 1346 boys at first.



6)  

In a school, there were 402 more boys than girls.
When another 22 girls and 42 boys joined the school,
the total enrolment of the school became 2880.
How many boys were there at first
Answer: 1609


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
402
+ 42
Girls
 
+ 22
 
 
2880
 
 
 
girls joined

 

Step 1: 2880 - 22 - 402 - 42 = 2414
Step 2: 2414 ÷ 2 = 1207
Step 3: 1207 + 402 = 1609

There were 1609 boys at first.



7)  

In a school, there were 344 more boys than girls.
When another 48 girls and 90 boys joined the school,
the total enrolment of the school became 2034.
How many boys were there at first
Answer: 1120


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
344
+ 90
Girls
 
+ 48
 
 
2034
 
 
 
girls joined

 

Step 1: 2034 - 48 - 344 - 90 = 1552
Step 2: 1552 ÷ 2 = 776
Step 3: 776 + 344 = 1120

There were 1120 boys at first.



8)  

In a school, there were 408 more boys than girls.
When another 76 girls and 40 boys joined the school,
the total enrolment of the school became 2222.
How many boys were there at first
Answer: 1257


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
408
+ 40
Girls
 
+ 76
 
 
2222
 
 
 
girls joined

 

Step 1: 2222 - 76 - 408 - 40 = 1698
Step 2: 1698 ÷ 2 = 849
Step 3: 849 + 408 = 1257

There were 1257 boys at first.



9)  

In a school, there were 420 more boys than girls.
When another 38 girls and 22 boys joined the school,
the total enrolment of the school became 2436.
How many boys were there at first
Answer: 1398


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
420
+ 22
Girls
 
+ 38
 
 
2436
 
 
 
girls joined

 

Step 1: 2436 - 38 - 420 - 22 = 1956
Step 2: 1956 ÷ 2 = 978
Step 3: 978 + 420 = 1398

There were 1398 boys at first.



10)  

In a school, there were 340 more boys than girls.
When another 68 girls and 74 boys joined the school,
the total enrolment of the school became 2120.
How many boys were there at first
Answer: 1159


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
340
+ 74
Girls
 
+ 68
 
 
2120
 
 
 
girls joined

 

Step 1: 2120 - 68 - 340 - 74 = 1638
Step 2: 1638 ÷ 2 = 819
Step 3: 819 + 340 = 1159

There were 1159 boys at first.