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 368 more boys than girls.
When another 56 girls and 74 boys joined the school,
the total enrolment of the school became 2530.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 308 more boys than girls.
When another 30 girls and 52 boys joined the school,
the total enrolment of the school became 2396.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 378 more boys than girls.
When another 46 girls and 76 boys joined the school,
the total enrolment of the school became 2594.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 384 more boys than girls.
When another 44 girls and 20 boys joined the school,
the total enrolment of the school became 2496.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 400 more boys than girls.
When another 74 girls and 22 boys joined the school,
the total enrolment of the school became 2380.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 402 more boys than girls.
When another 40 girls and 80 boys joined the school,
the total enrolment of the school became 2278.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 350 more boys than girls.
When another 42 girls and 130 boys joined the school,
the total enrolment of the school became 2294.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 320 more boys than girls.
When another 30 girls and 94 boys joined the school,
the total enrolment of the school became 2996.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 416 more boys than girls.
When another 68 girls and 24 boys joined the school,
the total enrolment of the school became 2640.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 390 more boys than girls.
When another 66 girls and 34 boys joined the school,
the total enrolment of the school became 2820.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 368 more boys than girls.
When another 56 girls and 74 boys joined the school,
the total enrolment of the school became 2530.
How many boys were there at first
Answer: 1384


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
368
+ 74
Girls
 
+ 56
 
 
2530
 
 
 
girls joined

 

Step 1: 2530 - 56 - 368 - 74 = 2032
Step 2: 2032 ÷ 2 = 1016
Step 3: 1016 + 368 = 1384

There were 1384 boys at first.



2)  

In a school, there were 308 more boys than girls.
When another 30 girls and 52 boys joined the school,
the total enrolment of the school became 2396.
How many boys were there at first
Answer: 1311


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
308
+ 52
Girls
 
+ 30
 
 
2396
 
 
 
girls joined

 

Step 1: 2396 - 30 - 308 - 52 = 2006
Step 2: 2006 ÷ 2 = 1003
Step 3: 1003 + 308 = 1311

There were 1311 boys at first.



3)  

In a school, there were 378 more boys than girls.
When another 46 girls and 76 boys joined the school,
the total enrolment of the school became 2594.
How many boys were there at first
Answer: 1425


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
378
+ 76
Girls
 
+ 46
 
 
2594
 
 
 
girls joined

 

Step 1: 2594 - 46 - 378 - 76 = 2094
Step 2: 2094 ÷ 2 = 1047
Step 3: 1047 + 378 = 1425

There were 1425 boys at first.



4)  

In a school, there were 384 more boys than girls.
When another 44 girls and 20 boys joined the school,
the total enrolment of the school became 2496.
How many boys were there at first
Answer: 1408


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
384
+ 20
Girls
 
+ 44
 
 
2496
 
 
 
girls joined

 

Step 1: 2496 - 44 - 384 - 20 = 2048
Step 2: 2048 ÷ 2 = 1024
Step 3: 1024 + 384 = 1408

There were 1408 boys at first.



5)  

In a school, there were 400 more boys than girls.
When another 74 girls and 22 boys joined the school,
the total enrolment of the school became 2380.
How many boys were there at first
Answer: 1342


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
400
+ 22
Girls
 
+ 74
 
 
2380
 
 
 
girls joined

 

Step 1: 2380 - 74 - 400 - 22 = 1884
Step 2: 1884 ÷ 2 = 942
Step 3: 942 + 400 = 1342

There were 1342 boys at first.



6)  

In a school, there were 402 more boys than girls.
When another 40 girls and 80 boys joined the school,
the total enrolment of the school became 2278.
How many boys were there at first
Answer: 1280


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
402
+ 80
Girls
 
+ 40
 
 
2278
 
 
 
girls joined

 

Step 1: 2278 - 40 - 402 - 80 = 1756
Step 2: 1756 ÷ 2 = 878
Step 3: 878 + 402 = 1280

There were 1280 boys at first.



7)  

In a school, there were 350 more boys than girls.
When another 42 girls and 130 boys joined the school,
the total enrolment of the school became 2294.
How many boys were there at first
Answer: 1236


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
350
+ 130
Girls
 
+ 42
 
 
2294
 
 
 
girls joined

 

Step 1: 2294 - 42 - 350 - 130 = 1772
Step 2: 1772 ÷ 2 = 886
Step 3: 886 + 350 = 1236

There were 1236 boys at first.



8)  

In a school, there were 320 more boys than girls.
When another 30 girls and 94 boys joined the school,
the total enrolment of the school became 2996.
How many boys were there at first
Answer: 1596


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
320
+ 94
Girls
 
+ 30
 
 
2996
 
 
 
girls joined

 

Step 1: 2996 - 30 - 320 - 94 = 2552
Step 2: 2552 ÷ 2 = 1276
Step 3: 1276 + 320 = 1596

There were 1596 boys at first.



9)  

In a school, there were 416 more boys than girls.
When another 68 girls and 24 boys joined the school,
the total enrolment of the school became 2640.
How many boys were there at first
Answer: 1482


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
416
+ 24
Girls
 
+ 68
 
 
2640
 
 
 
girls joined

 

Step 1: 2640 - 68 - 416 - 24 = 2132
Step 2: 2132 ÷ 2 = 1066
Step 3: 1066 + 416 = 1482

There were 1482 boys at first.



10)  

In a school, there were 390 more boys than girls.
When another 66 girls and 34 boys joined the school,
the total enrolment of the school became 2820.
How many boys were there at first
Answer: 1555


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
390
+ 34
Girls
 
+ 66
 
 
2820
 
 
 
girls joined

 

Step 1: 2820 - 66 - 390 - 34 = 2330
Step 2: 2330 ÷ 2 = 1165
Step 3: 1165 + 390 = 1555

There were 1555 boys at first.