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 362 more boys than girls.
When another 46 girls and 22 boys joined the school,
the total enrolment of the school became 2328.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 446 more boys than girls.
When another 64 girls and 126 boys joined the school,
the total enrolment of the school became 2094.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 392 more boys than girls.
When another 44 girls and 100 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 304 more boys than girls.
When another 60 girls and 134 boys joined the school,
the total enrolment of the school became 2650.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 368 more boys than girls.
When another 64 girls and 136 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 376 more boys than girls.
When another 24 girls and 98 boys joined the school,
the total enrolment of the school became 2406.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 316 more boys than girls.
When another 56 girls and 56 boys joined the school,
the total enrolment of the school became 2088.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 406 more boys than girls.
When another 80 girls and 24 boys joined the school,
the total enrolment of the school became 2720.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 308 more boys than girls.
When another 42 girls and 110 boys joined the school,
the total enrolment of the school became 2132.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 300 more boys than girls.
When another 28 girls and 100 boys joined the school,
the total enrolment of the school became 2566.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 362 more boys than girls.
When another 46 girls and 22 boys joined the school,
the total enrolment of the school became 2328.
How many boys were there at first
Answer: 1311


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
362
+ 22
Girls
 
+ 46
 
 
2328
 
 
 
girls joined

 

Step 1: 2328 - 46 - 362 - 22 = 1898
Step 2: 1898 ÷ 2 = 949
Step 3: 949 + 362 = 1311

There were 1311 boys at first.



2)  

In a school, there were 446 more boys than girls.
When another 64 girls and 126 boys joined the school,
the total enrolment of the school became 2094.
How many boys were there at first
Answer: 1175


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
446
+ 126
Girls
 
+ 64
 
 
2094
 
 
 
girls joined

 

Step 1: 2094 - 64 - 446 - 126 = 1458
Step 2: 1458 ÷ 2 = 729
Step 3: 729 + 446 = 1175

There were 1175 boys at first.



3)  

In a school, there were 392 more boys than girls.
When another 44 girls and 100 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first
Answer: 1279


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
392
+ 100
Girls
 
+ 44
 
 
2310
 
 
 
girls joined

 

Step 1: 2310 - 44 - 392 - 100 = 1774
Step 2: 1774 ÷ 2 = 887
Step 3: 887 + 392 = 1279

There were 1279 boys at first.



4)  

In a school, there were 304 more boys than girls.
When another 60 girls and 134 boys joined the school,
the total enrolment of the school became 2650.
How many boys were there at first
Answer: 1380


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
304
+ 134
Girls
 
+ 60
 
 
2650
 
 
 
girls joined

 

Step 1: 2650 - 60 - 304 - 134 = 2152
Step 2: 2152 ÷ 2 = 1076
Step 3: 1076 + 304 = 1380

There were 1380 boys at first.



5)  

In a school, there were 368 more boys than girls.
When another 64 girls and 136 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first
Answer: 1098


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
368
+ 136
Girls
 
+ 64
 
 
2028
 
 
 
girls joined

 

Step 1: 2028 - 64 - 368 - 136 = 1460
Step 2: 1460 ÷ 2 = 730
Step 3: 730 + 368 = 1098

There were 1098 boys at first.



6)  

In a school, there were 376 more boys than girls.
When another 24 girls and 98 boys joined the school,
the total enrolment of the school became 2406.
How many boys were there at first
Answer: 1330


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
376
+ 98
Girls
 
+ 24
 
 
2406
 
 
 
girls joined

 

Step 1: 2406 - 24 - 376 - 98 = 1908
Step 2: 1908 ÷ 2 = 954
Step 3: 954 + 376 = 1330

There were 1330 boys at first.



7)  

In a school, there were 316 more boys than girls.
When another 56 girls and 56 boys joined the school,
the total enrolment of the school became 2088.
How many boys were there at first
Answer: 1146


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
316
+ 56
Girls
 
+ 56
 
 
2088
 
 
 
girls joined

 

Step 1: 2088 - 56 - 316 - 56 = 1660
Step 2: 1660 ÷ 2 = 830
Step 3: 830 + 316 = 1146

There were 1146 boys at first.



8)  

In a school, there were 406 more boys than girls.
When another 80 girls and 24 boys joined the school,
the total enrolment of the school became 2720.
How many boys were there at first
Answer: 1511


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
406
+ 24
Girls
 
+ 80
 
 
2720
 
 
 
girls joined

 

Step 1: 2720 - 80 - 406 - 24 = 2210
Step 2: 2210 ÷ 2 = 1105
Step 3: 1105 + 406 = 1511

There were 1511 boys at first.



9)  

In a school, there were 308 more boys than girls.
When another 42 girls and 110 boys joined the school,
the total enrolment of the school became 2132.
How many boys were there at first
Answer: 1144


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
308
+ 110
Girls
 
+ 42
 
 
2132
 
 
 
girls joined

 

Step 1: 2132 - 42 - 308 - 110 = 1672
Step 2: 1672 ÷ 2 = 836
Step 3: 836 + 308 = 1144

There were 1144 boys at first.



10)  

In a school, there were 300 more boys than girls.
When another 28 girls and 100 boys joined the school,
the total enrolment of the school became 2566.
How many boys were there at first
Answer: 1369


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
300
+ 100
Girls
 
+ 28
 
 
2566
 
 
 
girls joined

 

Step 1: 2566 - 28 - 300 - 100 = 2138
Step 2: 2138 ÷ 2 = 1069
Step 3: 1069 + 300 = 1369

There were 1369 boys at first.