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 66 girls and 22 boys joined the school,
the total enrolment of the school became 2384.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 318 more boys than girls.
When another 28 girls and 68 boys joined the school,
the total enrolment of the school became 2980.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 364 more boys than girls.
When another 24 girls and 78 boys joined the school,
the total enrolment of the school became 2236.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 300 more boys than girls.
When another 68 girls and 20 boys joined the school,
the total enrolment of the school became 2148.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 376 more boys than girls.
When another 58 girls and 72 boys joined the school,
the total enrolment of the school became 2966.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 416 more boys than girls.
When another 68 girls and 126 boys joined the school,
the total enrolment of the school became 2862.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 354 more boys than girls.
When another 36 girls and 44 boys joined the school,
the total enrolment of the school became 2768.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 306 more boys than girls.
When another 20 girls and 134 boys joined the school,
the total enrolment of the school became 2128.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 414 more boys than girls.
When another 20 girls and 92 boys joined the school,
the total enrolment of the school became 2068.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 436 more boys than girls.
When another 60 girls and 120 boys joined the school,
the total enrolment of the school became 2644.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 406 more boys than girls.
When another 66 girls and 22 boys joined the school,
the total enrolment of the school became 2384.
How many boys were there at first
Answer: 1351


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
406
+ 22
Girls
 
+ 66
 
 
2384
 
 
 
girls joined

 

Step 1: 2384 - 66 - 406 - 22 = 1890
Step 2: 1890 ÷ 2 = 945
Step 3: 945 + 406 = 1351

There were 1351 boys at first.



2)  

In a school, there were 318 more boys than girls.
When another 28 girls and 68 boys joined the school,
the total enrolment of the school became 2980.
How many boys were there at first
Answer: 1601


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
318
+ 68
Girls
 
+ 28
 
 
2980
 
 
 
girls joined

 

Step 1: 2980 - 28 - 318 - 68 = 2566
Step 2: 2566 ÷ 2 = 1283
Step 3: 1283 + 318 = 1601

There were 1601 boys at first.



3)  

In a school, there were 364 more boys than girls.
When another 24 girls and 78 boys joined the school,
the total enrolment of the school became 2236.
How many boys were there at first
Answer: 1249


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
364
+ 78
Girls
 
+ 24
 
 
2236
 
 
 
girls joined

 

Step 1: 2236 - 24 - 364 - 78 = 1770
Step 2: 1770 ÷ 2 = 885
Step 3: 885 + 364 = 1249

There were 1249 boys at first.



4)  

In a school, there were 300 more boys than girls.
When another 68 girls and 20 boys joined the school,
the total enrolment of the school became 2148.
How many boys were there at first
Answer: 1180


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
300
+ 20
Girls
 
+ 68
 
 
2148
 
 
 
girls joined

 

Step 1: 2148 - 68 - 300 - 20 = 1760
Step 2: 1760 ÷ 2 = 880
Step 3: 880 + 300 = 1180

There were 1180 boys at first.



5)  

In a school, there were 376 more boys than girls.
When another 58 girls and 72 boys joined the school,
the total enrolment of the school became 2966.
How many boys were there at first
Answer: 1606


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
376
+ 72
Girls
 
+ 58
 
 
2966
 
 
 
girls joined

 

Step 1: 2966 - 58 - 376 - 72 = 2460
Step 2: 2460 ÷ 2 = 1230
Step 3: 1230 + 376 = 1606

There were 1606 boys at first.



6)  

In a school, there were 416 more boys than girls.
When another 68 girls and 126 boys joined the school,
the total enrolment of the school became 2862.
How many boys were there at first
Answer: 1542


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
416
+ 126
Girls
 
+ 68
 
 
2862
 
 
 
girls joined

 

Step 1: 2862 - 68 - 416 - 126 = 2252
Step 2: 2252 ÷ 2 = 1126
Step 3: 1126 + 416 = 1542

There were 1542 boys at first.



7)  

In a school, there were 354 more boys than girls.
When another 36 girls and 44 boys joined the school,
the total enrolment of the school became 2768.
How many boys were there at first
Answer: 1521


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
354
+ 44
Girls
 
+ 36
 
 
2768
 
 
 
girls joined

 

Step 1: 2768 - 36 - 354 - 44 = 2334
Step 2: 2334 ÷ 2 = 1167
Step 3: 1167 + 354 = 1521

There were 1521 boys at first.



8)  

In a school, there were 306 more boys than girls.
When another 20 girls and 134 boys joined the school,
the total enrolment of the school became 2128.
How many boys were there at first
Answer: 1140


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
306
+ 134
Girls
 
+ 20
 
 
2128
 
 
 
girls joined

 

Step 1: 2128 - 20 - 306 - 134 = 1668
Step 2: 1668 ÷ 2 = 834
Step 3: 834 + 306 = 1140

There were 1140 boys at first.



9)  

In a school, there were 414 more boys than girls.
When another 20 girls and 92 boys joined the school,
the total enrolment of the school became 2068.
How many boys were there at first
Answer: 1185


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 92
Girls
 
+ 20
 
 
2068
 
 
 
girls joined

 

Step 1: 2068 - 20 - 414 - 92 = 1542
Step 2: 1542 ÷ 2 = 771
Step 3: 771 + 414 = 1185

There were 1185 boys at first.



10)  

In a school, there were 436 more boys than girls.
When another 60 girls and 120 boys joined the school,
the total enrolment of the school became 2644.
How many boys were there at first
Answer: 1450


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
436
+ 120
Girls
 
+ 60
 
 
2644
 
 
 
girls joined

 

Step 1: 2644 - 60 - 436 - 120 = 2028
Step 2: 2028 ÷ 2 = 1014
Step 3: 1014 + 436 = 1450

There were 1450 boys at first.