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 412 more boys than girls.
When another 30 girls and 120 boys joined the school,
the total enrolment of the school became 2202.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 306 more boys than girls.
When another 54 girls and 88 boys joined the school,
the total enrolment of the school became 2910.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 306 more boys than girls.
When another 58 girls and 68 boys joined the school,
the total enrolment of the school became 2182.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 402 more boys than girls.
When another 54 girls and 60 boys joined the school,
the total enrolment of the school became 2916.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 388 more boys than girls.
When another 64 girls and 90 boys joined the school,
the total enrolment of the school became 2002.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 318 more boys than girls.
When another 44 girls and 56 boys joined the school,
the total enrolment of the school became 2084.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 378 more boys than girls.
When another 36 girls and 62 boys joined the school,
the total enrolment of the school became 2358.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 338 more boys than girls.
When another 56 girls and 64 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 304 more boys than girls.
When another 26 girls and 98 boys joined the school,
the total enrolment of the school became 2566.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 350 more boys than girls.
When another 54 girls and 80 boys joined the school,
the total enrolment of the school became 2904.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 412 more boys than girls.
When another 30 girls and 120 boys joined the school,
the total enrolment of the school became 2202.
How many boys were there at first
Answer: 1232


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
412
+ 120
Girls
 
+ 30
 
 
2202
 
 
 
girls joined

 

Step 1: 2202 - 30 - 412 - 120 = 1640
Step 2: 1640 ÷ 2 = 820
Step 3: 820 + 412 = 1232

There were 1232 boys at first.



2)  

In a school, there were 306 more boys than girls.
When another 54 girls and 88 boys joined the school,
the total enrolment of the school became 2910.
How many boys were there at first
Answer: 1537


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
306
+ 88
Girls
 
+ 54
 
 
2910
 
 
 
girls joined

 

Step 1: 2910 - 54 - 306 - 88 = 2462
Step 2: 2462 ÷ 2 = 1231
Step 3: 1231 + 306 = 1537

There were 1537 boys at first.



3)  

In a school, there were 306 more boys than girls.
When another 58 girls and 68 boys joined the school,
the total enrolment of the school became 2182.
How many boys were there at first
Answer: 1181


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
306
+ 68
Girls
 
+ 58
 
 
2182
 
 
 
girls joined

 

Step 1: 2182 - 58 - 306 - 68 = 1750
Step 2: 1750 ÷ 2 = 875
Step 3: 875 + 306 = 1181

There were 1181 boys at first.



4)  

In a school, there were 402 more boys than girls.
When another 54 girls and 60 boys joined the school,
the total enrolment of the school became 2916.
How many boys were there at first
Answer: 1602


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
402
+ 60
Girls
 
+ 54
 
 
2916
 
 
 
girls joined

 

Step 1: 2916 - 54 - 402 - 60 = 2400
Step 2: 2400 ÷ 2 = 1200
Step 3: 1200 + 402 = 1602

There were 1602 boys at first.



5)  

In a school, there were 388 more boys than girls.
When another 64 girls and 90 boys joined the school,
the total enrolment of the school became 2002.
How many boys were there at first
Answer: 1118


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
388
+ 90
Girls
 
+ 64
 
 
2002
 
 
 
girls joined

 

Step 1: 2002 - 64 - 388 - 90 = 1460
Step 2: 1460 ÷ 2 = 730
Step 3: 730 + 388 = 1118

There were 1118 boys at first.



6)  

In a school, there were 318 more boys than girls.
When another 44 girls and 56 boys joined the school,
the total enrolment of the school became 2084.
How many boys were there at first
Answer: 1151


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
318
+ 56
Girls
 
+ 44
 
 
2084
 
 
 
girls joined

 

Step 1: 2084 - 44 - 318 - 56 = 1666
Step 2: 1666 ÷ 2 = 833
Step 3: 833 + 318 = 1151

There were 1151 boys at first.



7)  

In a school, there were 378 more boys than girls.
When another 36 girls and 62 boys joined the school,
the total enrolment of the school became 2358.
How many boys were there at first
Answer: 1319


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
378
+ 62
Girls
 
+ 36
 
 
2358
 
 
 
girls joined

 

Step 1: 2358 - 36 - 378 - 62 = 1882
Step 2: 1882 ÷ 2 = 941
Step 3: 941 + 378 = 1319

There were 1319 boys at first.



8)  

In a school, there were 338 more boys than girls.
When another 56 girls and 64 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first
Answer: 1129


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
338
+ 64
Girls
 
+ 56
 
 
2040
 
 
 
girls joined

 

Step 1: 2040 - 56 - 338 - 64 = 1582
Step 2: 1582 ÷ 2 = 791
Step 3: 791 + 338 = 1129

There were 1129 boys at first.



9)  

In a school, there were 304 more boys than girls.
When another 26 girls and 98 boys joined the school,
the total enrolment of the school became 2566.
How many boys were there at first
Answer: 1373


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
304
+ 98
Girls
 
+ 26
 
 
2566
 
 
 
girls joined

 

Step 1: 2566 - 26 - 304 - 98 = 2138
Step 2: 2138 ÷ 2 = 1069
Step 3: 1069 + 304 = 1373

There were 1373 boys at first.



10)  

In a school, there were 350 more boys than girls.
When another 54 girls and 80 boys joined the school,
the total enrolment of the school became 2904.
How many boys were there at first
Answer: 1560


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
350
+ 80
Girls
 
+ 54
 
 
2904
 
 
 
girls joined

 

Step 1: 2904 - 54 - 350 - 80 = 2420
Step 2: 2420 ÷ 2 = 1210
Step 3: 1210 + 350 = 1560

There were 1560 boys at first.