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 428 more boys than girls.
When another 46 girls and 130 boys joined the school,
the total enrolment of the school became 2398.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 350 more boys than girls.
When another 64 girls and 120 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 386 more boys than girls.
When another 62 girls and 66 boys joined the school,
the total enrolment of the school became 2234.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 358 more boys than girls.
When another 66 girls and 40 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 360 more boys than girls.
When another 44 girls and 74 boys joined the school,
the total enrolment of the school became 2472.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 322 more boys than girls.
When another 46 girls and 86 boys joined the school,
the total enrolment of the school became 2858.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 428 more boys than girls.
When another 40 girls and 100 boys joined the school,
the total enrolment of the school became 2068.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 424 more boys than girls.
When another 34 girls and 114 boys joined the school,
the total enrolment of the school became 3000.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 320 more boys than girls.
When another 26 girls and 64 boys joined the school,
the total enrolment of the school became 2212.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 392 more boys than girls.
When another 22 girls and 98 boys joined the school,
the total enrolment of the school became 2256.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 428 more boys than girls.
When another 46 girls and 130 boys joined the school,
the total enrolment of the school became 2398.
How many boys were there at first
Answer: 1325


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
428
+ 130
Girls
 
+ 46
 
 
2398
 
 
 
girls joined

 

Step 1: 2398 - 46 - 428 - 130 = 1794
Step 2: 1794 ÷ 2 = 897
Step 3: 897 + 428 = 1325

There were 1325 boys at first.



2)  

In a school, there were 350 more boys than girls.
When another 64 girls and 120 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first
Answer: 1504


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
350
+ 120
Girls
 
+ 64
 
 
2842
 
 
 
girls joined

 

Step 1: 2842 - 64 - 350 - 120 = 2308
Step 2: 2308 ÷ 2 = 1154
Step 3: 1154 + 350 = 1504

There were 1504 boys at first.



3)  

In a school, there were 386 more boys than girls.
When another 62 girls and 66 boys joined the school,
the total enrolment of the school became 2234.
How many boys were there at first
Answer: 1246


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
386
+ 66
Girls
 
+ 62
 
 
2234
 
 
 
girls joined

 

Step 1: 2234 - 62 - 386 - 66 = 1720
Step 2: 1720 ÷ 2 = 860
Step 3: 860 + 386 = 1246

There were 1246 boys at first.



4)  

In a school, there were 358 more boys than girls.
When another 66 girls and 40 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first
Answer: 1140


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
358
+ 40
Girls
 
+ 66
 
 
2028
 
 
 
girls joined

 

Step 1: 2028 - 66 - 358 - 40 = 1564
Step 2: 1564 ÷ 2 = 782
Step 3: 782 + 358 = 1140

There were 1140 boys at first.



5)  

In a school, there were 360 more boys than girls.
When another 44 girls and 74 boys joined the school,
the total enrolment of the school became 2472.
How many boys were there at first
Answer: 1357


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
360
+ 74
Girls
 
+ 44
 
 
2472
 
 
 
girls joined

 

Step 1: 2472 - 44 - 360 - 74 = 1994
Step 2: 1994 ÷ 2 = 997
Step 3: 997 + 360 = 1357

There were 1357 boys at first.



6)  

In a school, there were 322 more boys than girls.
When another 46 girls and 86 boys joined the school,
the total enrolment of the school became 2858.
How many boys were there at first
Answer: 1524


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
322
+ 86
Girls
 
+ 46
 
 
2858
 
 
 
girls joined

 

Step 1: 2858 - 46 - 322 - 86 = 2404
Step 2: 2404 ÷ 2 = 1202
Step 3: 1202 + 322 = 1524

There were 1524 boys at first.



7)  

In a school, there were 428 more boys than girls.
When another 40 girls and 100 boys joined the school,
the total enrolment of the school became 2068.
How many boys were there at first
Answer: 1178


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
428
+ 100
Girls
 
+ 40
 
 
2068
 
 
 
girls joined

 

Step 1: 2068 - 40 - 428 - 100 = 1500
Step 2: 1500 ÷ 2 = 750
Step 3: 750 + 428 = 1178

There were 1178 boys at first.



8)  

In a school, there were 424 more boys than girls.
When another 34 girls and 114 boys joined the school,
the total enrolment of the school became 3000.
How many boys were there at first
Answer: 1638


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
424
+ 114
Girls
 
+ 34
 
 
3000
 
 
 
girls joined

 

Step 1: 3000 - 34 - 424 - 114 = 2428
Step 2: 2428 ÷ 2 = 1214
Step 3: 1214 + 424 = 1638

There were 1638 boys at first.



9)  

In a school, there were 320 more boys than girls.
When another 26 girls and 64 boys joined the school,
the total enrolment of the school became 2212.
How many boys were there at first
Answer: 1221


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
320
+ 64
Girls
 
+ 26
 
 
2212
 
 
 
girls joined

 

Step 1: 2212 - 26 - 320 - 64 = 1802
Step 2: 1802 ÷ 2 = 901
Step 3: 901 + 320 = 1221

There were 1221 boys at first.



10)  

In a school, there were 392 more boys than girls.
When another 22 girls and 98 boys joined the school,
the total enrolment of the school became 2256.
How many boys were there at first
Answer: 1264


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
392
+ 98
Girls
 
+ 22
 
 
2256
 
 
 
girls joined

 

Step 1: 2256 - 22 - 392 - 98 = 1744
Step 2: 1744 ÷ 2 = 872
Step 3: 872 + 392 = 1264

There were 1264 boys at first.