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 422 more boys than girls.
When another 52 girls and 48 boys joined the school,
the total enrolment of the school became 2298.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 312 more boys than girls.
When another 78 girls and 30 boys joined the school,
the total enrolment of the school became 2336.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 320 more boys than girls.
When another 26 girls and 124 boys joined the school,
the total enrolment of the school became 2064.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 302 more boys than girls.
When another 62 girls and 130 boys joined the school,
the total enrolment of the school became 2538.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 424 more boys than girls.
When another 76 girls and 70 boys joined the school,
the total enrolment of the school became 2414.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 446 more boys than girls.
When another 40 girls and 130 boys joined the school,
the total enrolment of the school became 2622.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 316 more boys than girls.
When another 40 girls and 82 boys joined the school,
the total enrolment of the school became 2096.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 408 more boys than girls.
When another 38 girls and 134 boys joined the school,
the total enrolment of the school became 2342.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 414 more boys than girls.
When another 48 girls and 68 boys joined the school,
the total enrolment of the school became 2386.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 414 more boys than girls.
When another 76 girls and 60 boys joined the school,
the total enrolment of the school became 2904.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 422 more boys than girls.
When another 52 girls and 48 boys joined the school,
the total enrolment of the school became 2298.
How many boys were there at first
Answer: 1310


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
422
+ 48
Girls
 
+ 52
 
 
2298
 
 
 
girls joined

 

Step 1: 2298 - 52 - 422 - 48 = 1776
Step 2: 1776 ÷ 2 = 888
Step 3: 888 + 422 = 1310

There were 1310 boys at first.



2)  

In a school, there were 312 more boys than girls.
When another 78 girls and 30 boys joined the school,
the total enrolment of the school became 2336.
How many boys were there at first
Answer: 1270


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
312
+ 30
Girls
 
+ 78
 
 
2336
 
 
 
girls joined

 

Step 1: 2336 - 78 - 312 - 30 = 1916
Step 2: 1916 ÷ 2 = 958
Step 3: 958 + 312 = 1270

There were 1270 boys at first.



3)  

In a school, there were 320 more boys than girls.
When another 26 girls and 124 boys joined the school,
the total enrolment of the school became 2064.
How many boys were there at first
Answer: 1117


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
320
+ 124
Girls
 
+ 26
 
 
2064
 
 
 
girls joined

 

Step 1: 2064 - 26 - 320 - 124 = 1594
Step 2: 1594 ÷ 2 = 797
Step 3: 797 + 320 = 1117

There were 1117 boys at first.



4)  

In a school, there were 302 more boys than girls.
When another 62 girls and 130 boys joined the school,
the total enrolment of the school became 2538.
How many boys were there at first
Answer: 1324


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
302
+ 130
Girls
 
+ 62
 
 
2538
 
 
 
girls joined

 

Step 1: 2538 - 62 - 302 - 130 = 2044
Step 2: 2044 ÷ 2 = 1022
Step 3: 1022 + 302 = 1324

There were 1324 boys at first.



5)  

In a school, there were 424 more boys than girls.
When another 76 girls and 70 boys joined the school,
the total enrolment of the school became 2414.
How many boys were there at first
Answer: 1346


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
424
+ 70
Girls
 
+ 76
 
 
2414
 
 
 
girls joined

 

Step 1: 2414 - 76 - 424 - 70 = 1844
Step 2: 1844 ÷ 2 = 922
Step 3: 922 + 424 = 1346

There were 1346 boys at first.



6)  

In a school, there were 446 more boys than girls.
When another 40 girls and 130 boys joined the school,
the total enrolment of the school became 2622.
How many boys were there at first
Answer: 1449


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
446
+ 130
Girls
 
+ 40
 
 
2622
 
 
 
girls joined

 

Step 1: 2622 - 40 - 446 - 130 = 2006
Step 2: 2006 ÷ 2 = 1003
Step 3: 1003 + 446 = 1449

There were 1449 boys at first.



7)  

In a school, there were 316 more boys than girls.
When another 40 girls and 82 boys joined the school,
the total enrolment of the school became 2096.
How many boys were there at first
Answer: 1145


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
316
+ 82
Girls
 
+ 40
 
 
2096
 
 
 
girls joined

 

Step 1: 2096 - 40 - 316 - 82 = 1658
Step 2: 1658 ÷ 2 = 829
Step 3: 829 + 316 = 1145

There were 1145 boys at first.



8)  

In a school, there were 408 more boys than girls.
When another 38 girls and 134 boys joined the school,
the total enrolment of the school became 2342.
How many boys were there at first
Answer: 1289


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
408
+ 134
Girls
 
+ 38
 
 
2342
 
 
 
girls joined

 

Step 1: 2342 - 38 - 408 - 134 = 1762
Step 2: 1762 ÷ 2 = 881
Step 3: 881 + 408 = 1289

There were 1289 boys at first.



9)  

In a school, there were 414 more boys than girls.
When another 48 girls and 68 boys joined the school,
the total enrolment of the school became 2386.
How many boys were there at first
Answer: 1342


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 68
Girls
 
+ 48
 
 
2386
 
 
 
girls joined

 

Step 1: 2386 - 48 - 414 - 68 = 1856
Step 2: 1856 ÷ 2 = 928
Step 3: 928 + 414 = 1342

There were 1342 boys at first.



10)  

In a school, there were 414 more boys than girls.
When another 76 girls and 60 boys joined the school,
the total enrolment of the school became 2904.
How many boys were there at first
Answer: 1591


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 60
Girls
 
+ 76
 
 
2904
 
 
 
girls joined

 

Step 1: 2904 - 76 - 414 - 60 = 2354
Step 2: 2354 ÷ 2 = 1177
Step 3: 1177 + 414 = 1591

There were 1591 boys at first.