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 366 more boys than girls.
When another 36 girls and 104 boys joined the school,
the total enrolment of the school became 2476.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 332 more boys than girls.
When another 42 girls and 34 boys joined the school,
the total enrolment of the school became 2676.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 352 more boys than girls.
When another 72 girls and 134 boys joined the school,
the total enrolment of the school became 2438.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 412 more boys than girls.
When another 42 girls and 118 boys joined the school,
the total enrolment of the school became 2226.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 402 more boys than girls.
When another 30 girls and 68 boys joined the school,
the total enrolment of the school became 2702.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 418 more boys than girls.
When another 66 girls and 26 boys joined the school,
the total enrolment of the school became 2740.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 448 more boys than girls.
When another 34 girls and 108 boys joined the school,
the total enrolment of the school became 2404.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 424 more boys than girls.
When another 24 girls and 104 boys joined the school,
the total enrolment of the school became 2536.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 450 more boys than girls.
When another 68 girls and 22 boys joined the school,
the total enrolment of the school became 2880.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 302 more boys than girls.
When another 50 girls and 66 boys joined the school,
the total enrolment of the school became 2102.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 366 more boys than girls.
When another 36 girls and 104 boys joined the school,
the total enrolment of the school became 2476.
How many boys were there at first
Answer: 1351


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
366
+ 104
Girls
 
+ 36
 
 
2476
 
 
 
girls joined

 

Step 1: 2476 - 36 - 366 - 104 = 1970
Step 2: 1970 ÷ 2 = 985
Step 3: 985 + 366 = 1351

There were 1351 boys at first.



2)  

In a school, there were 332 more boys than girls.
When another 42 girls and 34 boys joined the school,
the total enrolment of the school became 2676.
How many boys were there at first
Answer: 1466


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
332
+ 34
Girls
 
+ 42
 
 
2676
 
 
 
girls joined

 

Step 1: 2676 - 42 - 332 - 34 = 2268
Step 2: 2268 ÷ 2 = 1134
Step 3: 1134 + 332 = 1466

There were 1466 boys at first.



3)  

In a school, there were 352 more boys than girls.
When another 72 girls and 134 boys joined the school,
the total enrolment of the school became 2438.
How many boys were there at first
Answer: 1292


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
352
+ 134
Girls
 
+ 72
 
 
2438
 
 
 
girls joined

 

Step 1: 2438 - 72 - 352 - 134 = 1880
Step 2: 1880 ÷ 2 = 940
Step 3: 940 + 352 = 1292

There were 1292 boys at first.



4)  

In a school, there were 412 more boys than girls.
When another 42 girls and 118 boys joined the school,
the total enrolment of the school became 2226.
How many boys were there at first
Answer: 1239


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
412
+ 118
Girls
 
+ 42
 
 
2226
 
 
 
girls joined

 

Step 1: 2226 - 42 - 412 - 118 = 1654
Step 2: 1654 ÷ 2 = 827
Step 3: 827 + 412 = 1239

There were 1239 boys at first.



5)  

In a school, there were 402 more boys than girls.
When another 30 girls and 68 boys joined the school,
the total enrolment of the school became 2702.
How many boys were there at first
Answer: 1503


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
402
+ 68
Girls
 
+ 30
 
 
2702
 
 
 
girls joined

 

Step 1: 2702 - 30 - 402 - 68 = 2202
Step 2: 2202 ÷ 2 = 1101
Step 3: 1101 + 402 = 1503

There were 1503 boys at first.



6)  

In a school, there were 418 more boys than girls.
When another 66 girls and 26 boys joined the school,
the total enrolment of the school became 2740.
How many boys were there at first
Answer: 1533


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
418
+ 26
Girls
 
+ 66
 
 
2740
 
 
 
girls joined

 

Step 1: 2740 - 66 - 418 - 26 = 2230
Step 2: 2230 ÷ 2 = 1115
Step 3: 1115 + 418 = 1533

There were 1533 boys at first.



7)  

In a school, there were 448 more boys than girls.
When another 34 girls and 108 boys joined the school,
the total enrolment of the school became 2404.
How many boys were there at first
Answer: 1355


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
448
+ 108
Girls
 
+ 34
 
 
2404
 
 
 
girls joined

 

Step 1: 2404 - 34 - 448 - 108 = 1814
Step 2: 1814 ÷ 2 = 907
Step 3: 907 + 448 = 1355

There were 1355 boys at first.



8)  

In a school, there were 424 more boys than girls.
When another 24 girls and 104 boys joined the school,
the total enrolment of the school became 2536.
How many boys were there at first
Answer: 1416


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
424
+ 104
Girls
 
+ 24
 
 
2536
 
 
 
girls joined

 

Step 1: 2536 - 24 - 424 - 104 = 1984
Step 2: 1984 ÷ 2 = 992
Step 3: 992 + 424 = 1416

There were 1416 boys at first.



9)  

In a school, there were 450 more boys than girls.
When another 68 girls and 22 boys joined the school,
the total enrolment of the school became 2880.
How many boys were there at first
Answer: 1620


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
450
+ 22
Girls
 
+ 68
 
 
2880
 
 
 
girls joined

 

Step 1: 2880 - 68 - 450 - 22 = 2340
Step 2: 2340 ÷ 2 = 1170
Step 3: 1170 + 450 = 1620

There were 1620 boys at first.



10)  

In a school, there were 302 more boys than girls.
When another 50 girls and 66 boys joined the school,
the total enrolment of the school became 2102.
How many boys were there at first
Answer: 1144


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
302
+ 66
Girls
 
+ 50
 
 
2102
 
 
 
girls joined

 

Step 1: 2102 - 50 - 302 - 66 = 1684
Step 2: 1684 ÷ 2 = 842
Step 3: 842 + 302 = 1144

There were 1144 boys at first.