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 404 more boys than girls.
When another 66 girls and 80 boys joined the school,
the total enrolment of the school became 2944.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 416 more boys than girls.
When another 68 girls and 56 boys joined the school,
the total enrolment of the school became 2190.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 302 more boys than girls.
When another 42 girls and 84 boys joined the school,
the total enrolment of the school became 2706.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 380 more boys than girls.
When another 60 girls and 74 boys joined the school,
the total enrolment of the school became 2288.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 312 more boys than girls.
When another 24 girls and 102 boys joined the school,
the total enrolment of the school became 2382.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 318 more boys than girls.
When another 36 girls and 104 boys joined the school,
the total enrolment of the school became 2884.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 426 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2592.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 416 more boys than girls.
When another 62 girls and 136 boys joined the school,
the total enrolment of the school became 2250.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 354 more boys than girls.
When another 64 girls and 56 boys joined the school,
the total enrolment of the school became 2184.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 440 more boys than girls.
When another 44 girls and 116 boys joined the school,
the total enrolment of the school became 2106.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 404 more boys than girls.
When another 66 girls and 80 boys joined the school,
the total enrolment of the school became 2944.
How many boys were there at first
Answer: 1601


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
404
+ 80
Girls
 
+ 66
 
 
2944
 
 
 
girls joined

 

Step 1: 2944 - 66 - 404 - 80 = 2394
Step 2: 2394 ÷ 2 = 1197
Step 3: 1197 + 404 = 1601

There were 1601 boys at first.



2)  

In a school, there were 416 more boys than girls.
When another 68 girls and 56 boys joined the school,
the total enrolment of the school became 2190.
How many boys were there at first
Answer: 1241


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
416
+ 56
Girls
 
+ 68
 
 
2190
 
 
 
girls joined

 

Step 1: 2190 - 68 - 416 - 56 = 1650
Step 2: 1650 ÷ 2 = 825
Step 3: 825 + 416 = 1241

There were 1241 boys at first.



3)  

In a school, there were 302 more boys than girls.
When another 42 girls and 84 boys joined the school,
the total enrolment of the school became 2706.
How many boys were there at first
Answer: 1441


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
302
+ 84
Girls
 
+ 42
 
 
2706
 
 
 
girls joined

 

Step 1: 2706 - 42 - 302 - 84 = 2278
Step 2: 2278 ÷ 2 = 1139
Step 3: 1139 + 302 = 1441

There were 1441 boys at first.



4)  

In a school, there were 380 more boys than girls.
When another 60 girls and 74 boys joined the school,
the total enrolment of the school became 2288.
How many boys were there at first
Answer: 1267


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
380
+ 74
Girls
 
+ 60
 
 
2288
 
 
 
girls joined

 

Step 1: 2288 - 60 - 380 - 74 = 1774
Step 2: 1774 ÷ 2 = 887
Step 3: 887 + 380 = 1267

There were 1267 boys at first.



5)  

In a school, there were 312 more boys than girls.
When another 24 girls and 102 boys joined the school,
the total enrolment of the school became 2382.
How many boys were there at first
Answer: 1284


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
312
+ 102
Girls
 
+ 24
 
 
2382
 
 
 
girls joined

 

Step 1: 2382 - 24 - 312 - 102 = 1944
Step 2: 1944 ÷ 2 = 972
Step 3: 972 + 312 = 1284

There were 1284 boys at first.



6)  

In a school, there were 318 more boys than girls.
When another 36 girls and 104 boys joined the school,
the total enrolment of the school became 2884.
How many boys were there at first
Answer: 1531


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
318
+ 104
Girls
 
+ 36
 
 
2884
 
 
 
girls joined

 

Step 1: 2884 - 36 - 318 - 104 = 2426
Step 2: 2426 ÷ 2 = 1213
Step 3: 1213 + 318 = 1531

There were 1531 boys at first.



7)  

In a school, there were 426 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2592.
How many boys were there at first
Answer: 1452


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
426
+ 62
Girls
 
+ 52
 
 
2592
 
 
 
girls joined

 

Step 1: 2592 - 52 - 426 - 62 = 2052
Step 2: 2052 ÷ 2 = 1026
Step 3: 1026 + 426 = 1452

There were 1452 boys at first.



8)  

In a school, there were 416 more boys than girls.
When another 62 girls and 136 boys joined the school,
the total enrolment of the school became 2250.
How many boys were there at first
Answer: 1234


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
416
+ 136
Girls
 
+ 62
 
 
2250
 
 
 
girls joined

 

Step 1: 2250 - 62 - 416 - 136 = 1636
Step 2: 1636 ÷ 2 = 818
Step 3: 818 + 416 = 1234

There were 1234 boys at first.



9)  

In a school, there were 354 more boys than girls.
When another 64 girls and 56 boys joined the school,
the total enrolment of the school became 2184.
How many boys were there at first
Answer: 1209


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
354
+ 56
Girls
 
+ 64
 
 
2184
 
 
 
girls joined

 

Step 1: 2184 - 64 - 354 - 56 = 1710
Step 2: 1710 ÷ 2 = 855
Step 3: 855 + 354 = 1209

There were 1209 boys at first.



10)  

In a school, there were 440 more boys than girls.
When another 44 girls and 116 boys joined the school,
the total enrolment of the school became 2106.
How many boys were there at first
Answer: 1193


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
440
+ 116
Girls
 
+ 44
 
 
2106
 
 
 
girls joined

 

Step 1: 2106 - 44 - 440 - 116 = 1506
Step 2: 1506 ÷ 2 = 753
Step 3: 753 + 440 = 1193

There were 1193 boys at first.