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 404 more boys than girls.
When another 28 girls and 30 boys joined the school,
the total enrolment of the school became 2238.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 374 more boys than girls.
When another 26 girls and 120 boys joined the school,
the total enrolment of the school became 2788.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 436 more boys than girls.
When another 46 girls and 48 boys joined the school,
the total enrolment of the school became 2578.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 434 more boys than girls.
When another 50 girls and 110 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 442 more boys than girls.
When another 58 girls and 112 boys joined the school,
the total enrolment of the school became 2182.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 400 more boys than girls.
When another 50 girls and 40 boys joined the school,
the total enrolment of the school became 2932.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 354 more boys than girls.
When another 40 girls and 72 boys joined the school,
the total enrolment of the school became 2352.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 352 more boys than girls.
When another 28 girls and 30 boys joined the school,
the total enrolment of the school became 2676.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 448 more boys than girls.
When another 42 girls and 58 boys joined the school,
the total enrolment of the school became 2034.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 422 more boys than girls.
When another 76 girls and 36 boys joined the school,
the total enrolment of the school became 2398.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 404 more boys than girls.
When another 28 girls and 30 boys joined the school,
the total enrolment of the school became 2238.
How many boys were there at first
Answer: 1292


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
404
+ 30
Girls
 
+ 28
 
 
2238
 
 
 
girls joined

 

Step 1: 2238 - 28 - 404 - 30 = 1776
Step 2: 1776 ÷ 2 = 888
Step 3: 888 + 404 = 1292

There were 1292 boys at first.



2)  

In a school, there were 374 more boys than girls.
When another 26 girls and 120 boys joined the school,
the total enrolment of the school became 2788.
How many boys were there at first
Answer: 1508


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
374
+ 120
Girls
 
+ 26
 
 
2788
 
 
 
girls joined

 

Step 1: 2788 - 26 - 374 - 120 = 2268
Step 2: 2268 ÷ 2 = 1134
Step 3: 1134 + 374 = 1508

There were 1508 boys at first.



3)  

In a school, there were 436 more boys than girls.
When another 46 girls and 48 boys joined the school,
the total enrolment of the school became 2578.
How many boys were there at first
Answer: 1460


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
436
+ 48
Girls
 
+ 46
 
 
2578
 
 
 
girls joined

 

Step 1: 2578 - 46 - 436 - 48 = 2048
Step 2: 2048 ÷ 2 = 1024
Step 3: 1024 + 436 = 1460

There were 1460 boys at first.



4)  

In a school, there were 434 more boys than girls.
When another 50 girls and 110 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first
Answer: 1292


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
434
+ 110
Girls
 
+ 50
 
 
2310
 
 
 
girls joined

 

Step 1: 2310 - 50 - 434 - 110 = 1716
Step 2: 1716 ÷ 2 = 858
Step 3: 858 + 434 = 1292

There were 1292 boys at first.



5)  

In a school, there were 442 more boys than girls.
When another 58 girls and 112 boys joined the school,
the total enrolment of the school became 2182.
How many boys were there at first
Answer: 1227


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
442
+ 112
Girls
 
+ 58
 
 
2182
 
 
 
girls joined

 

Step 1: 2182 - 58 - 442 - 112 = 1570
Step 2: 1570 ÷ 2 = 785
Step 3: 785 + 442 = 1227

There were 1227 boys at first.



6)  

In a school, there were 400 more boys than girls.
When another 50 girls and 40 boys joined the school,
the total enrolment of the school became 2932.
How many boys were there at first
Answer: 1621


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
400
+ 40
Girls
 
+ 50
 
 
2932
 
 
 
girls joined

 

Step 1: 2932 - 50 - 400 - 40 = 2442
Step 2: 2442 ÷ 2 = 1221
Step 3: 1221 + 400 = 1621

There were 1621 boys at first.



7)  

In a school, there were 354 more boys than girls.
When another 40 girls and 72 boys joined the school,
the total enrolment of the school became 2352.
How many boys were there at first
Answer: 1297


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
354
+ 72
Girls
 
+ 40
 
 
2352
 
 
 
girls joined

 

Step 1: 2352 - 40 - 354 - 72 = 1886
Step 2: 1886 ÷ 2 = 943
Step 3: 943 + 354 = 1297

There were 1297 boys at first.



8)  

In a school, there were 352 more boys than girls.
When another 28 girls and 30 boys joined the school,
the total enrolment of the school became 2676.
How many boys were there at first
Answer: 1485


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
352
+ 30
Girls
 
+ 28
 
 
2676
 
 
 
girls joined

 

Step 1: 2676 - 28 - 352 - 30 = 2266
Step 2: 2266 ÷ 2 = 1133
Step 3: 1133 + 352 = 1485

There were 1485 boys at first.



9)  

In a school, there were 448 more boys than girls.
When another 42 girls and 58 boys joined the school,
the total enrolment of the school became 2034.
How many boys were there at first
Answer: 1191


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
448
+ 58
Girls
 
+ 42
 
 
2034
 
 
 
girls joined

 

Step 1: 2034 - 42 - 448 - 58 = 1486
Step 2: 1486 ÷ 2 = 743
Step 3: 743 + 448 = 1191

There were 1191 boys at first.



10)  

In a school, there were 422 more boys than girls.
When another 76 girls and 36 boys joined the school,
the total enrolment of the school became 2398.
How many boys were there at first
Answer: 1354


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
422
+ 36
Girls
 
+ 76
 
 
2398
 
 
 
girls joined

 

Step 1: 2398 - 76 - 422 - 36 = 1864
Step 2: 1864 ÷ 2 = 932
Step 3: 932 + 422 = 1354

There were 1354 boys at first.