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 354 more boys than girls.
When another 52 girls and 46 boys joined the school,
the total enrolment of the school became 2890.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 306 more boys than girls.
When another 60 girls and 66 boys joined the school,
the total enrolment of the school became 2046.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 392 more boys than girls.
When another 36 girls and 102 boys joined the school,
the total enrolment of the school became 2768.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 346 more boys than girls.
When another 74 girls and 136 boys joined the school,
the total enrolment of the school became 2954.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 398 more boys than girls.
When another 20 girls and 74 boys joined the school,
the total enrolment of the school became 2808.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 356 more boys than girls.
When another 58 girls and 34 boys joined the school,
the total enrolment of the school became 2060.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 358 more boys than girls.
When another 22 girls and 84 boys joined the school,
the total enrolment of the school became 2174.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 346 more boys than girls.
When another 62 girls and 124 boys joined the school,
the total enrolment of the school became 2452.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 444 more boys than girls.
When another 44 girls and 62 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 448 more boys than girls.
When another 54 girls and 74 boys joined the school,
the total enrolment of the school became 2956.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 354 more boys than girls.
When another 52 girls and 46 boys joined the school,
the total enrolment of the school became 2890.
How many boys were there at first
Answer: 1573


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
354
+ 46
Girls
 
+ 52
 
 
2890
 
 
 
girls joined

 

Step 1: 2890 - 52 - 354 - 46 = 2438
Step 2: 2438 ÷ 2 = 1219
Step 3: 1219 + 354 = 1573

There were 1573 boys at first.



2)  

In a school, there were 306 more boys than girls.
When another 60 girls and 66 boys joined the school,
the total enrolment of the school became 2046.
How many boys were there at first
Answer: 1113


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
306
+ 66
Girls
 
+ 60
 
 
2046
 
 
 
girls joined

 

Step 1: 2046 - 60 - 306 - 66 = 1614
Step 2: 1614 ÷ 2 = 807
Step 3: 807 + 306 = 1113

There were 1113 boys at first.



3)  

In a school, there were 392 more boys than girls.
When another 36 girls and 102 boys joined the school,
the total enrolment of the school became 2768.
How many boys were there at first
Answer: 1511


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
392
+ 102
Girls
 
+ 36
 
 
2768
 
 
 
girls joined

 

Step 1: 2768 - 36 - 392 - 102 = 2238
Step 2: 2238 ÷ 2 = 1119
Step 3: 1119 + 392 = 1511

There were 1511 boys at first.



4)  

In a school, there were 346 more boys than girls.
When another 74 girls and 136 boys joined the school,
the total enrolment of the school became 2954.
How many boys were there at first
Answer: 1545


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
346
+ 136
Girls
 
+ 74
 
 
2954
 
 
 
girls joined

 

Step 1: 2954 - 74 - 346 - 136 = 2398
Step 2: 2398 ÷ 2 = 1199
Step 3: 1199 + 346 = 1545

There were 1545 boys at first.



5)  

In a school, there were 398 more boys than girls.
When another 20 girls and 74 boys joined the school,
the total enrolment of the school became 2808.
How many boys were there at first
Answer: 1556


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
398
+ 74
Girls
 
+ 20
 
 
2808
 
 
 
girls joined

 

Step 1: 2808 - 20 - 398 - 74 = 2316
Step 2: 2316 ÷ 2 = 1158
Step 3: 1158 + 398 = 1556

There were 1556 boys at first.



6)  

In a school, there were 356 more boys than girls.
When another 58 girls and 34 boys joined the school,
the total enrolment of the school became 2060.
How many boys were there at first
Answer: 1162


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
356
+ 34
Girls
 
+ 58
 
 
2060
 
 
 
girls joined

 

Step 1: 2060 - 58 - 356 - 34 = 1612
Step 2: 1612 ÷ 2 = 806
Step 3: 806 + 356 = 1162

There were 1162 boys at first.



7)  

In a school, there were 358 more boys than girls.
When another 22 girls and 84 boys joined the school,
the total enrolment of the school became 2174.
How many boys were there at first
Answer: 1213


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
358
+ 84
Girls
 
+ 22
 
 
2174
 
 
 
girls joined

 

Step 1: 2174 - 22 - 358 - 84 = 1710
Step 2: 1710 ÷ 2 = 855
Step 3: 855 + 358 = 1213

There were 1213 boys at first.



8)  

In a school, there were 346 more boys than girls.
When another 62 girls and 124 boys joined the school,
the total enrolment of the school became 2452.
How many boys were there at first
Answer: 1306


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
346
+ 124
Girls
 
+ 62
 
 
2452
 
 
 
girls joined

 

Step 1: 2452 - 62 - 346 - 124 = 1920
Step 2: 1920 ÷ 2 = 960
Step 3: 960 + 346 = 1306

There were 1306 boys at first.



9)  

In a school, there were 444 more boys than girls.
When another 44 girls and 62 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first
Answer: 1351


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
444
+ 62
Girls
 
+ 44
 
 
2364
 
 
 
girls joined

 

Step 1: 2364 - 44 - 444 - 62 = 1814
Step 2: 1814 ÷ 2 = 907
Step 3: 907 + 444 = 1351

There were 1351 boys at first.



10)  

In a school, there were 448 more boys than girls.
When another 54 girls and 74 boys joined the school,
the total enrolment of the school became 2956.
How many boys were there at first
Answer: 1638


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
448
+ 74
Girls
 
+ 54
 
 
2956
 
 
 
girls joined

 

Step 1: 2956 - 54 - 448 - 74 = 2380
Step 2: 2380 ÷ 2 = 1190
Step 3: 1190 + 448 = 1638

There were 1638 boys at first.