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 392 more boys than girls.
When another 54 girls and 74 boys joined the school,
the total enrolment of the school became 2754.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 432 more boys than girls.
When another 30 girls and 38 boys joined the school,
the total enrolment of the school became 2454.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 318 more boys than girls.
When another 24 girls and 94 boys joined the school,
the total enrolment of the school became 2750.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 332 more boys than girls.
When another 78 girls and 22 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 424 more boys than girls.
When another 42 girls and 24 boys joined the school,
the total enrolment of the school became 2478.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 412 more boys than girls.
When another 62 girls and 60 boys joined the school,
the total enrolment of the school became 2530.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 316 more boys than girls.
When another 68 girls and 76 boys joined the school,
the total enrolment of the school became 2488.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 364 more boys than girls.
When another 58 girls and 88 boys joined the school,
the total enrolment of the school became 2854.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 404 more boys than girls.
When another 70 girls and 52 boys joined the school,
the total enrolment of the school became 2140.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 428 more boys than girls.
When another 70 girls and 66 boys joined the school,
the total enrolment of the school became 2282.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 392 more boys than girls.
When another 54 girls and 74 boys joined the school,
the total enrolment of the school became 2754.
How many boys were there at first
Answer: 1509


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
392
+ 74
Girls
 
+ 54
 
 
2754
 
 
 
girls joined

 

Step 1: 2754 - 54 - 392 - 74 = 2234
Step 2: 2234 ÷ 2 = 1117
Step 3: 1117 + 392 = 1509

There were 1509 boys at first.



2)  

In a school, there were 432 more boys than girls.
When another 30 girls and 38 boys joined the school,
the total enrolment of the school became 2454.
How many boys were there at first
Answer: 1409


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
432
+ 38
Girls
 
+ 30
 
 
2454
 
 
 
girls joined

 

Step 1: 2454 - 30 - 432 - 38 = 1954
Step 2: 1954 ÷ 2 = 977
Step 3: 977 + 432 = 1409

There were 1409 boys at first.



3)  

In a school, there were 318 more boys than girls.
When another 24 girls and 94 boys joined the school,
the total enrolment of the school became 2750.
How many boys were there at first
Answer: 1475


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
318
+ 94
Girls
 
+ 24
 
 
2750
 
 
 
girls joined

 

Step 1: 2750 - 24 - 318 - 94 = 2314
Step 2: 2314 ÷ 2 = 1157
Step 3: 1157 + 318 = 1475

There were 1475 boys at first.



4)  

In a school, there were 332 more boys than girls.
When another 78 girls and 22 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first
Answer: 1537


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
332
+ 22
Girls
 
+ 78
 
 
2842
 
 
 
girls joined

 

Step 1: 2842 - 78 - 332 - 22 = 2410
Step 2: 2410 ÷ 2 = 1205
Step 3: 1205 + 332 = 1537

There were 1537 boys at first.



5)  

In a school, there were 424 more boys than girls.
When another 42 girls and 24 boys joined the school,
the total enrolment of the school became 2478.
How many boys were there at first
Answer: 1418


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
424
+ 24
Girls
 
+ 42
 
 
2478
 
 
 
girls joined

 

Step 1: 2478 - 42 - 424 - 24 = 1988
Step 2: 1988 ÷ 2 = 994
Step 3: 994 + 424 = 1418

There were 1418 boys at first.



6)  

In a school, there were 412 more boys than girls.
When another 62 girls and 60 boys joined the school,
the total enrolment of the school became 2530.
How many boys were there at first
Answer: 1410


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
412
+ 60
Girls
 
+ 62
 
 
2530
 
 
 
girls joined

 

Step 1: 2530 - 62 - 412 - 60 = 1996
Step 2: 1996 ÷ 2 = 998
Step 3: 998 + 412 = 1410

There were 1410 boys at first.



7)  

In a school, there were 316 more boys than girls.
When another 68 girls and 76 boys joined the school,
the total enrolment of the school became 2488.
How many boys were there at first
Answer: 1330


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
316
+ 76
Girls
 
+ 68
 
 
2488
 
 
 
girls joined

 

Step 1: 2488 - 68 - 316 - 76 = 2028
Step 2: 2028 ÷ 2 = 1014
Step 3: 1014 + 316 = 1330

There were 1330 boys at first.



8)  

In a school, there were 364 more boys than girls.
When another 58 girls and 88 boys joined the school,
the total enrolment of the school became 2854.
How many boys were there at first
Answer: 1536


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
364
+ 88
Girls
 
+ 58
 
 
2854
 
 
 
girls joined

 

Step 1: 2854 - 58 - 364 - 88 = 2344
Step 2: 2344 ÷ 2 = 1172
Step 3: 1172 + 364 = 1536

There were 1536 boys at first.



9)  

In a school, there were 404 more boys than girls.
When another 70 girls and 52 boys joined the school,
the total enrolment of the school became 2140.
How many boys were there at first
Answer: 1211


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
404
+ 52
Girls
 
+ 70
 
 
2140
 
 
 
girls joined

 

Step 1: 2140 - 70 - 404 - 52 = 1614
Step 2: 1614 ÷ 2 = 807
Step 3: 807 + 404 = 1211

There were 1211 boys at first.



10)  

In a school, there were 428 more boys than girls.
When another 70 girls and 66 boys joined the school,
the total enrolment of the school became 2282.
How many boys were there at first
Answer: 1287


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
428
+ 66
Girls
 
+ 70
 
 
2282
 
 
 
girls joined

 

Step 1: 2282 - 70 - 428 - 66 = 1718
Step 2: 1718 ÷ 2 = 859
Step 3: 859 + 428 = 1287

There were 1287 boys at first.