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 406 more boys than girls.
When another 20 girls and 78 boys joined the school,
the total enrolment of the school became 2452.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 354 more boys than girls.
When another 32 girls and 40 boys joined the school,
the total enrolment of the school became 2724.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 422 more boys than girls.
When another 44 girls and 74 boys joined the school,
the total enrolment of the school became 2534.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 430 more boys than girls.
When another 38 girls and 32 boys joined the school,
the total enrolment of the school became 2764.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 336 more boys than girls.
When another 54 girls and 128 boys joined the school,
the total enrolment of the school became 2634.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 390 more boys than girls.
When another 66 girls and 88 boys joined the school,
the total enrolment of the school became 2264.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 398 more boys than girls.
When another 54 girls and 86 boys joined the school,
the total enrolment of the school became 2712.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 368 more boys than girls.
When another 54 girls and 132 boys joined the school,
the total enrolment of the school became 2598.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 326 more boys than girls.
When another 42 girls and 54 boys joined the school,
the total enrolment of the school became 2148.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 372 more boys than girls.
When another 78 girls and 136 boys joined the school,
the total enrolment of the school became 2044.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 406 more boys than girls.
When another 20 girls and 78 boys joined the school,
the total enrolment of the school became 2452.
How many boys were there at first
Answer: 1380


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
406
+ 78
Girls
 
+ 20
 
 
2452
 
 
 
girls joined

 

Step 1: 2452 - 20 - 406 - 78 = 1948
Step 2: 1948 ÷ 2 = 974
Step 3: 974 + 406 = 1380

There were 1380 boys at first.



2)  

In a school, there were 354 more boys than girls.
When another 32 girls and 40 boys joined the school,
the total enrolment of the school became 2724.
How many boys were there at first
Answer: 1503


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
354
+ 40
Girls
 
+ 32
 
 
2724
 
 
 
girls joined

 

Step 1: 2724 - 32 - 354 - 40 = 2298
Step 2: 2298 ÷ 2 = 1149
Step 3: 1149 + 354 = 1503

There were 1503 boys at first.



3)  

In a school, there were 422 more boys than girls.
When another 44 girls and 74 boys joined the school,
the total enrolment of the school became 2534.
How many boys were there at first
Answer: 1419


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
422
+ 74
Girls
 
+ 44
 
 
2534
 
 
 
girls joined

 

Step 1: 2534 - 44 - 422 - 74 = 1994
Step 2: 1994 ÷ 2 = 997
Step 3: 997 + 422 = 1419

There were 1419 boys at first.



4)  

In a school, there were 430 more boys than girls.
When another 38 girls and 32 boys joined the school,
the total enrolment of the school became 2764.
How many boys were there at first
Answer: 1562


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
430
+ 32
Girls
 
+ 38
 
 
2764
 
 
 
girls joined

 

Step 1: 2764 - 38 - 430 - 32 = 2264
Step 2: 2264 ÷ 2 = 1132
Step 3: 1132 + 430 = 1562

There were 1562 boys at first.



5)  

In a school, there were 336 more boys than girls.
When another 54 girls and 128 boys joined the school,
the total enrolment of the school became 2634.
How many boys were there at first
Answer: 1394


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
336
+ 128
Girls
 
+ 54
 
 
2634
 
 
 
girls joined

 

Step 1: 2634 - 54 - 336 - 128 = 2116
Step 2: 2116 ÷ 2 = 1058
Step 3: 1058 + 336 = 1394

There were 1394 boys at first.



6)  

In a school, there were 390 more boys than girls.
When another 66 girls and 88 boys joined the school,
the total enrolment of the school became 2264.
How many boys were there at first
Answer: 1250


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
390
+ 88
Girls
 
+ 66
 
 
2264
 
 
 
girls joined

 

Step 1: 2264 - 66 - 390 - 88 = 1720
Step 2: 1720 ÷ 2 = 860
Step 3: 860 + 390 = 1250

There were 1250 boys at first.



7)  

In a school, there were 398 more boys than girls.
When another 54 girls and 86 boys joined the school,
the total enrolment of the school became 2712.
How many boys were there at first
Answer: 1485


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
398
+ 86
Girls
 
+ 54
 
 
2712
 
 
 
girls joined

 

Step 1: 2712 - 54 - 398 - 86 = 2174
Step 2: 2174 ÷ 2 = 1087
Step 3: 1087 + 398 = 1485

There were 1485 boys at first.



8)  

In a school, there were 368 more boys than girls.
When another 54 girls and 132 boys joined the school,
the total enrolment of the school became 2598.
How many boys were there at first
Answer: 1390


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
368
+ 132
Girls
 
+ 54
 
 
2598
 
 
 
girls joined

 

Step 1: 2598 - 54 - 368 - 132 = 2044
Step 2: 2044 ÷ 2 = 1022
Step 3: 1022 + 368 = 1390

There were 1390 boys at first.



9)  

In a school, there were 326 more boys than girls.
When another 42 girls and 54 boys joined the school,
the total enrolment of the school became 2148.
How many boys were there at first
Answer: 1189


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
326
+ 54
Girls
 
+ 42
 
 
2148
 
 
 
girls joined

 

Step 1: 2148 - 42 - 326 - 54 = 1726
Step 2: 1726 ÷ 2 = 863
Step 3: 863 + 326 = 1189

There were 1189 boys at first.



10)  

In a school, there were 372 more boys than girls.
When another 78 girls and 136 boys joined the school,
the total enrolment of the school became 2044.
How many boys were there at first
Answer: 1101


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
372
+ 136
Girls
 
+ 78
 
 
2044
 
 
 
girls joined

 

Step 1: 2044 - 78 - 372 - 136 = 1458
Step 2: 1458 ÷ 2 = 729
Step 3: 729 + 372 = 1101

There were 1101 boys at first.