Scroll:Whole Numbers >> Numbers to 100,000 >> 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 438 more boys than girls.
When another 44 girls and 98 boys joined the school,
the total enrolment of the school became 2422.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 442 more boys than girls.
When another 26 girls and 114 boys joined the school,
the total enrolment of the school became 2032.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 326 more boys than girls.
When another 70 girls and 20 boys joined the school,
the total enrolment of the school became 2906.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 356 more boys than girls.
When another 44 girls and 42 boys joined the school,
the total enrolment of the school became 2404.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 322 more boys than girls.
When another 56 girls and 74 boys joined the school,
the total enrolment of the school became 2580.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 338 more boys than girls.
When another 48 girls and 130 boys joined the school,
the total enrolment of the school became 2088.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 370 more boys than girls.
When another 74 girls and 96 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 442 more boys than girls.
When another 24 girls and 114 boys joined the school,
the total enrolment of the school became 2632.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 422 more boys than girls.
When another 54 girls and 26 boys joined the school,
the total enrolment of the school became 2818.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 398 more boys than girls.
When another 36 girls and 50 boys joined the school,
the total enrolment of the school became 2018.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 438 more boys than girls.
When another 44 girls and 98 boys joined the school,
the total enrolment of the school became 2422.
How many boys were there at first
Answer: 1359


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
438
+ 98
Girls
 
+ 44
 
 
2422
 
 
 
girls joined

 

Step 1: 2422 - 44 - 438 - 98 = 1842
Step 2: 1842 ÷ 2 = 921
Step 3: 921 + 438 = 1359

There were 1359 boys at first.



2)  

In a school, there were 442 more boys than girls.
When another 26 girls and 114 boys joined the school,
the total enrolment of the school became 2032.
How many boys were there at first
Answer: 1167


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
442
+ 114
Girls
 
+ 26
 
 
2032
 
 
 
girls joined

 

Step 1: 2032 - 26 - 442 - 114 = 1450
Step 2: 1450 ÷ 2 = 725
Step 3: 725 + 442 = 1167

There were 1167 boys at first.



3)  

In a school, there were 326 more boys than girls.
When another 70 girls and 20 boys joined the school,
the total enrolment of the school became 2906.
How many boys were there at first
Answer: 1571


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
326
+ 20
Girls
 
+ 70
 
 
2906
 
 
 
girls joined

 

Step 1: 2906 - 70 - 326 - 20 = 2490
Step 2: 2490 ÷ 2 = 1245
Step 3: 1245 + 326 = 1571

There were 1571 boys at first.



4)  

In a school, there were 356 more boys than girls.
When another 44 girls and 42 boys joined the school,
the total enrolment of the school became 2404.
How many boys were there at first
Answer: 1337


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
356
+ 42
Girls
 
+ 44
 
 
2404
 
 
 
girls joined

 

Step 1: 2404 - 44 - 356 - 42 = 1962
Step 2: 1962 ÷ 2 = 981
Step 3: 981 + 356 = 1337

There were 1337 boys at first.



5)  

In a school, there were 322 more boys than girls.
When another 56 girls and 74 boys joined the school,
the total enrolment of the school became 2580.
How many boys were there at first
Answer: 1386


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
322
+ 74
Girls
 
+ 56
 
 
2580
 
 
 
girls joined

 

Step 1: 2580 - 56 - 322 - 74 = 2128
Step 2: 2128 ÷ 2 = 1064
Step 3: 1064 + 322 = 1386

There were 1386 boys at first.



6)  

In a school, there were 338 more boys than girls.
When another 48 girls and 130 boys joined the school,
the total enrolment of the school became 2088.
How many boys were there at first
Answer: 1124


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
338
+ 130
Girls
 
+ 48
 
 
2088
 
 
 
girls joined

 

Step 1: 2088 - 48 - 338 - 130 = 1572
Step 2: 1572 ÷ 2 = 786
Step 3: 786 + 338 = 1124

There were 1124 boys at first.



7)  

In a school, there were 370 more boys than girls.
When another 74 girls and 96 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first
Answer: 1282


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
370
+ 96
Girls
 
+ 74
 
 
2364
 
 
 
girls joined

 

Step 1: 2364 - 74 - 370 - 96 = 1824
Step 2: 1824 ÷ 2 = 912
Step 3: 912 + 370 = 1282

There were 1282 boys at first.



8)  

In a school, there were 442 more boys than girls.
When another 24 girls and 114 boys joined the school,
the total enrolment of the school became 2632.
How many boys were there at first
Answer: 1468


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
442
+ 114
Girls
 
+ 24
 
 
2632
 
 
 
girls joined

 

Step 1: 2632 - 24 - 442 - 114 = 2052
Step 2: 2052 ÷ 2 = 1026
Step 3: 1026 + 442 = 1468

There were 1468 boys at first.



9)  

In a school, there were 422 more boys than girls.
When another 54 girls and 26 boys joined the school,
the total enrolment of the school became 2818.
How many boys were there at first
Answer: 1580


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
422
+ 26
Girls
 
+ 54
 
 
2818
 
 
 
girls joined

 

Step 1: 2818 - 54 - 422 - 26 = 2316
Step 2: 2316 ÷ 2 = 1158
Step 3: 1158 + 422 = 1580

There were 1580 boys at first.



10)  

In a school, there were 398 more boys than girls.
When another 36 girls and 50 boys joined the school,
the total enrolment of the school became 2018.
How many boys were there at first
Answer: 1165


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
398
+ 50
Girls
 
+ 36
 
 
2018
 
 
 
girls joined

 

Step 1: 2018 - 36 - 398 - 50 = 1534
Step 2: 1534 ÷ 2 = 767
Step 3: 767 + 398 = 1165

There were 1165 boys at first.