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 340 more boys than girls.
When another 30 girls and 28 boys joined the school,
the total enrolment of the school became 2288.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 412 more boys than girls.
When another 60 girls and 132 boys joined the school,
the total enrolment of the school became 2472.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 414 more boys than girls.
When another 50 girls and 80 boys joined the school,
the total enrolment of the school became 2162.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 420 more boys than girls.
When another 54 girls and 134 boys joined the school,
the total enrolment of the school became 2362.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 366 more boys than girls.
When another 36 girls and 36 boys joined the school,
the total enrolment of the school became 2390.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 330 more boys than girls.
When another 38 girls and 26 boys joined the school,
the total enrolment of the school became 2254.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 348 more boys than girls.
When another 42 girls and 62 boys joined the school,
the total enrolment of the school became 2470.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 400 more boys than girls.
When another 30 girls and 114 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 350 more boys than girls.
When another 28 girls and 92 boys joined the school,
the total enrolment of the school became 2370.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 360 more boys than girls.
When another 62 girls and 72 boys joined the school,
the total enrolment of the school became 2840.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 340 more boys than girls.
When another 30 girls and 28 boys joined the school,
the total enrolment of the school became 2288.
How many boys were there at first
Answer: 1285


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
340
+ 28
Girls
 
+ 30
 
 
2288
 
 
 
girls joined

 

Step 1: 2288 - 30 - 340 - 28 = 1890
Step 2: 1890 ÷ 2 = 945
Step 3: 945 + 340 = 1285

There were 1285 boys at first.



2)  

In a school, there were 412 more boys than girls.
When another 60 girls and 132 boys joined the school,
the total enrolment of the school became 2472.
How many boys were there at first
Answer: 1346


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
412
+ 132
Girls
 
+ 60
 
 
2472
 
 
 
girls joined

 

Step 1: 2472 - 60 - 412 - 132 = 1868
Step 2: 1868 ÷ 2 = 934
Step 3: 934 + 412 = 1346

There were 1346 boys at first.



3)  

In a school, there were 414 more boys than girls.
When another 50 girls and 80 boys joined the school,
the total enrolment of the school became 2162.
How many boys were there at first
Answer: 1223


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 80
Girls
 
+ 50
 
 
2162
 
 
 
girls joined

 

Step 1: 2162 - 50 - 414 - 80 = 1618
Step 2: 1618 ÷ 2 = 809
Step 3: 809 + 414 = 1223

There were 1223 boys at first.



4)  

In a school, there were 420 more boys than girls.
When another 54 girls and 134 boys joined the school,
the total enrolment of the school became 2362.
How many boys were there at first
Answer: 1297


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
420
+ 134
Girls
 
+ 54
 
 
2362
 
 
 
girls joined

 

Step 1: 2362 - 54 - 420 - 134 = 1754
Step 2: 1754 ÷ 2 = 877
Step 3: 877 + 420 = 1297

There were 1297 boys at first.



5)  

In a school, there were 366 more boys than girls.
When another 36 girls and 36 boys joined the school,
the total enrolment of the school became 2390.
How many boys were there at first
Answer: 1342


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
366
+ 36
Girls
 
+ 36
 
 
2390
 
 
 
girls joined

 

Step 1: 2390 - 36 - 366 - 36 = 1952
Step 2: 1952 ÷ 2 = 976
Step 3: 976 + 366 = 1342

There were 1342 boys at first.



6)  

In a school, there were 330 more boys than girls.
When another 38 girls and 26 boys joined the school,
the total enrolment of the school became 2254.
How many boys were there at first
Answer: 1260


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
330
+ 26
Girls
 
+ 38
 
 
2254
 
 
 
girls joined

 

Step 1: 2254 - 38 - 330 - 26 = 1860
Step 2: 1860 ÷ 2 = 930
Step 3: 930 + 330 = 1260

There were 1260 boys at first.



7)  

In a school, there were 348 more boys than girls.
When another 42 girls and 62 boys joined the school,
the total enrolment of the school became 2470.
How many boys were there at first
Answer: 1357


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
348
+ 62
Girls
 
+ 42
 
 
2470
 
 
 
girls joined

 

Step 1: 2470 - 42 - 348 - 62 = 2018
Step 2: 2018 ÷ 2 = 1009
Step 3: 1009 + 348 = 1357

There were 1357 boys at first.



8)  

In a school, there were 400 more boys than girls.
When another 30 girls and 114 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first
Answer: 1148


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
400
+ 114
Girls
 
+ 30
 
 
2040
 
 
 
girls joined

 

Step 1: 2040 - 30 - 400 - 114 = 1496
Step 2: 1496 ÷ 2 = 748
Step 3: 748 + 400 = 1148

There were 1148 boys at first.



9)  

In a school, there were 350 more boys than girls.
When another 28 girls and 92 boys joined the school,
the total enrolment of the school became 2370.
How many boys were there at first
Answer: 1300


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
350
+ 92
Girls
 
+ 28
 
 
2370
 
 
 
girls joined

 

Step 1: 2370 - 28 - 350 - 92 = 1900
Step 2: 1900 ÷ 2 = 950
Step 3: 950 + 350 = 1300

There were 1300 boys at first.



10)  

In a school, there were 360 more boys than girls.
When another 62 girls and 72 boys joined the school,
the total enrolment of the school became 2840.
How many boys were there at first
Answer: 1533


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
360
+ 72
Girls
 
+ 62
 
 
2840
 
 
 
girls joined

 

Step 1: 2840 - 62 - 360 - 72 = 2346
Step 2: 2346 ÷ 2 = 1173
Step 3: 1173 + 360 = 1533

There were 1533 boys at first.