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 312 more boys than girls.
When another 80 girls and 114 boys joined the school,
the total enrolment of the school became 2438.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 368 more boys than girls.
When another 48 girls and 110 boys joined the school,
the total enrolment of the school became 2410.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 328 more boys than girls.
When another 74 girls and 114 boys joined the school,
the total enrolment of the school became 2246.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 440 more boys than girls.
When another 74 girls and 130 boys joined the school,
the total enrolment of the school became 2144.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 372 more boys than girls.
When another 58 girls and 90 boys joined the school,
the total enrolment of the school became 2154.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 356 more boys than girls.
When another 54 girls and 130 boys joined the school,
the total enrolment of the school became 2558.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 322 more boys than girls.
When another 30 girls and 140 boys joined the school,
the total enrolment of the school became 2238.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 414 more boys than girls.
When another 78 girls and 34 boys joined the school,
the total enrolment of the school became 2732.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 300 more boys than girls.
When another 56 girls and 116 boys joined the school,
the total enrolment of the school became 2938.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 332 more boys than girls.
When another 70 girls and 60 boys joined the school,
the total enrolment of the school became 2204.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 312 more boys than girls.
When another 80 girls and 114 boys joined the school,
the total enrolment of the school became 2438.
How many boys were there at first
Answer: 1278


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
312
+ 114
Girls
 
+ 80
 
 
2438
 
 
 
girls joined

 

Step 1: 2438 - 80 - 312 - 114 = 1932
Step 2: 1932 ÷ 2 = 966
Step 3: 966 + 312 = 1278

There were 1278 boys at first.



2)  

In a school, there were 368 more boys than girls.
When another 48 girls and 110 boys joined the school,
the total enrolment of the school became 2410.
How many boys were there at first
Answer: 1310


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
368
+ 110
Girls
 
+ 48
 
 
2410
 
 
 
girls joined

 

Step 1: 2410 - 48 - 368 - 110 = 1884
Step 2: 1884 ÷ 2 = 942
Step 3: 942 + 368 = 1310

There were 1310 boys at first.



3)  

In a school, there were 328 more boys than girls.
When another 74 girls and 114 boys joined the school,
the total enrolment of the school became 2246.
How many boys were there at first
Answer: 1193


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
328
+ 114
Girls
 
+ 74
 
 
2246
 
 
 
girls joined

 

Step 1: 2246 - 74 - 328 - 114 = 1730
Step 2: 1730 ÷ 2 = 865
Step 3: 865 + 328 = 1193

There were 1193 boys at first.



4)  

In a school, there were 440 more boys than girls.
When another 74 girls and 130 boys joined the school,
the total enrolment of the school became 2144.
How many boys were there at first
Answer: 1190


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
440
+ 130
Girls
 
+ 74
 
 
2144
 
 
 
girls joined

 

Step 1: 2144 - 74 - 440 - 130 = 1500
Step 2: 1500 ÷ 2 = 750
Step 3: 750 + 440 = 1190

There were 1190 boys at first.



5)  

In a school, there were 372 more boys than girls.
When another 58 girls and 90 boys joined the school,
the total enrolment of the school became 2154.
How many boys were there at first
Answer: 1189


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
372
+ 90
Girls
 
+ 58
 
 
2154
 
 
 
girls joined

 

Step 1: 2154 - 58 - 372 - 90 = 1634
Step 2: 1634 ÷ 2 = 817
Step 3: 817 + 372 = 1189

There were 1189 boys at first.



6)  

In a school, there were 356 more boys than girls.
When another 54 girls and 130 boys joined the school,
the total enrolment of the school became 2558.
How many boys were there at first
Answer: 1365


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
356
+ 130
Girls
 
+ 54
 
 
2558
 
 
 
girls joined

 

Step 1: 2558 - 54 - 356 - 130 = 2018
Step 2: 2018 ÷ 2 = 1009
Step 3: 1009 + 356 = 1365

There were 1365 boys at first.



7)  

In a school, there were 322 more boys than girls.
When another 30 girls and 140 boys joined the school,
the total enrolment of the school became 2238.
How many boys were there at first
Answer: 1195


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
322
+ 140
Girls
 
+ 30
 
 
2238
 
 
 
girls joined

 

Step 1: 2238 - 30 - 322 - 140 = 1746
Step 2: 1746 ÷ 2 = 873
Step 3: 873 + 322 = 1195

There were 1195 boys at first.



8)  

In a school, there were 414 more boys than girls.
When another 78 girls and 34 boys joined the school,
the total enrolment of the school became 2732.
How many boys were there at first
Answer: 1517


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 34
Girls
 
+ 78
 
 
2732
 
 
 
girls joined

 

Step 1: 2732 - 78 - 414 - 34 = 2206
Step 2: 2206 ÷ 2 = 1103
Step 3: 1103 + 414 = 1517

There were 1517 boys at first.



9)  

In a school, there were 300 more boys than girls.
When another 56 girls and 116 boys joined the school,
the total enrolment of the school became 2938.
How many boys were there at first
Answer: 1533


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
300
+ 116
Girls
 
+ 56
 
 
2938
 
 
 
girls joined

 

Step 1: 2938 - 56 - 300 - 116 = 2466
Step 2: 2466 ÷ 2 = 1233
Step 3: 1233 + 300 = 1533

There were 1533 boys at first.



10)  

In a school, there were 332 more boys than girls.
When another 70 girls and 60 boys joined the school,
the total enrolment of the school became 2204.
How many boys were there at first
Answer: 1203


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
332
+ 60
Girls
 
+ 70
 
 
2204
 
 
 
girls joined

 

Step 1: 2204 - 70 - 332 - 60 = 1742
Step 2: 1742 ÷ 2 = 871
Step 3: 871 + 332 = 1203

There were 1203 boys at first.