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 320 more boys than girls.
When another 52 girls and 90 boys joined the school,
the total enrolment of the school became 2370.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 362 more boys than girls.
When another 48 girls and 90 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 378 more boys than girls.
When another 58 girls and 114 boys joined the school,
the total enrolment of the school became 2236.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 394 more boys than girls.
When another 56 girls and 106 boys joined the school,
the total enrolment of the school became 2324.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 338 more boys than girls.
When another 62 girls and 62 boys joined the school,
the total enrolment of the school became 2070.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 442 more boys than girls.
When another 50 girls and 82 boys joined the school,
the total enrolment of the school became 2668.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 408 more boys than girls.
When another 50 girls and 42 boys joined the school,
the total enrolment of the school became 2006.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 338 more boys than girls.
When another 38 girls and 130 boys joined the school,
the total enrolment of the school became 2318.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 378 more boys than girls.
When another 50 girls and 138 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 358 more boys than girls.
When another 52 girls and 48 boys joined the school,
the total enrolment of the school became 2766.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 320 more boys than girls.
When another 52 girls and 90 boys joined the school,
the total enrolment of the school became 2370.
How many boys were there at first
Answer: 1274


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
320
+ 90
Girls
 
+ 52
 
 
2370
 
 
 
girls joined

 

Step 1: 2370 - 52 - 320 - 90 = 1908
Step 2: 1908 ÷ 2 = 954
Step 3: 954 + 320 = 1274

There were 1274 boys at first.



2)  

In a school, there were 362 more boys than girls.
When another 48 girls and 90 boys joined the school,
the total enrolment of the school became 2028.
How many boys were there at first
Answer: 1126


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
362
+ 90
Girls
 
+ 48
 
 
2028
 
 
 
girls joined

 

Step 1: 2028 - 48 - 362 - 90 = 1528
Step 2: 1528 ÷ 2 = 764
Step 3: 764 + 362 = 1126

There were 1126 boys at first.



3)  

In a school, there were 378 more boys than girls.
When another 58 girls and 114 boys joined the school,
the total enrolment of the school became 2236.
How many boys were there at first
Answer: 1221


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
378
+ 114
Girls
 
+ 58
 
 
2236
 
 
 
girls joined

 

Step 1: 2236 - 58 - 378 - 114 = 1686
Step 2: 1686 ÷ 2 = 843
Step 3: 843 + 378 = 1221

There were 1221 boys at first.



4)  

In a school, there were 394 more boys than girls.
When another 56 girls and 106 boys joined the school,
the total enrolment of the school became 2324.
How many boys were there at first
Answer: 1278


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
394
+ 106
Girls
 
+ 56
 
 
2324
 
 
 
girls joined

 

Step 1: 2324 - 56 - 394 - 106 = 1768
Step 2: 1768 ÷ 2 = 884
Step 3: 884 + 394 = 1278

There were 1278 boys at first.



5)  

In a school, there were 338 more boys than girls.
When another 62 girls and 62 boys joined the school,
the total enrolment of the school became 2070.
How many boys were there at first
Answer: 1142


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
338
+ 62
Girls
 
+ 62
 
 
2070
 
 
 
girls joined

 

Step 1: 2070 - 62 - 338 - 62 = 1608
Step 2: 1608 ÷ 2 = 804
Step 3: 804 + 338 = 1142

There were 1142 boys at first.



6)  

In a school, there were 442 more boys than girls.
When another 50 girls and 82 boys joined the school,
the total enrolment of the school became 2668.
How many boys were there at first
Answer: 1489


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
442
+ 82
Girls
 
+ 50
 
 
2668
 
 
 
girls joined

 

Step 1: 2668 - 50 - 442 - 82 = 2094
Step 2: 2094 ÷ 2 = 1047
Step 3: 1047 + 442 = 1489

There were 1489 boys at first.



7)  

In a school, there were 408 more boys than girls.
When another 50 girls and 42 boys joined the school,
the total enrolment of the school became 2006.
How many boys were there at first
Answer: 1161


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
408
+ 42
Girls
 
+ 50
 
 
2006
 
 
 
girls joined

 

Step 1: 2006 - 50 - 408 - 42 = 1506
Step 2: 1506 ÷ 2 = 753
Step 3: 753 + 408 = 1161

There were 1161 boys at first.



8)  

In a school, there were 338 more boys than girls.
When another 38 girls and 130 boys joined the school,
the total enrolment of the school became 2318.
How many boys were there at first
Answer: 1244


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
338
+ 130
Girls
 
+ 38
 
 
2318
 
 
 
girls joined

 

Step 1: 2318 - 38 - 338 - 130 = 1812
Step 2: 1812 ÷ 2 = 906
Step 3: 906 + 338 = 1244

There were 1244 boys at first.



9)  

In a school, there were 378 more boys than girls.
When another 50 girls and 138 boys joined the school,
the total enrolment of the school became 2818.
How many boys were there at first
Answer: 1504


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
378
+ 138
Girls
 
+ 50
 
 
2818
 
 
 
girls joined

 

Step 1: 2818 - 50 - 378 - 138 = 2252
Step 2: 2252 ÷ 2 = 1126
Step 3: 1126 + 378 = 1504

There were 1504 boys at first.



10)  

In a school, there were 358 more boys than girls.
When another 52 girls and 48 boys joined the school,
the total enrolment of the school became 2766.
How many boys were there at first
Answer: 1512


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
358
+ 48
Girls
 
+ 52
 
 
2766
 
 
 
girls joined

 

Step 1: 2766 - 52 - 358 - 48 = 2308
Step 2: 2308 ÷ 2 = 1154
Step 3: 1154 + 358 = 1512

There were 1512 boys at first.