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 432 more boys than girls.
When another 44 girls and 78 boys joined the school,
the total enrolment of the school became 2098.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 390 more boys than girls.
When another 32 girls and 52 boys joined the school,
the total enrolment of the school became 2400.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 370 more boys than girls.
When another 54 girls and 78 boys joined the school,
the total enrolment of the school became 2462.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 408 more boys than girls.
When another 78 girls and 32 boys joined the school,
the total enrolment of the school became 2512.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 440 more boys than girls.
When another 28 girls and 108 boys joined the school,
the total enrolment of the school became 2314.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 414 more boys than girls.
When another 50 girls and 104 boys joined the school,
the total enrolment of the school became 2656.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 384 more boys than girls.
When another 60 girls and 104 boys joined the school,
the total enrolment of the school became 2970.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 376 more boys than girls.
When another 28 girls and 42 boys joined the school,
the total enrolment of the school became 2286.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 356 more boys than girls.
When another 50 girls and 124 boys joined the school,
the total enrolment of the school became 2278.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 324 more boys than girls.
When another 28 girls and 32 boys joined the school,
the total enrolment of the school became 2338.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 432 more boys than girls.
When another 44 girls and 78 boys joined the school,
the total enrolment of the school became 2098.
How many boys were there at first
Answer: 1204


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
432
+ 78
Girls
 
+ 44
 
 
2098
 
 
 
girls joined

 

Step 1: 2098 - 44 - 432 - 78 = 1544
Step 2: 1544 ÷ 2 = 772
Step 3: 772 + 432 = 1204

There were 1204 boys at first.



2)  

In a school, there were 390 more boys than girls.
When another 32 girls and 52 boys joined the school,
the total enrolment of the school became 2400.
How many boys were there at first
Answer: 1353


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
390
+ 52
Girls
 
+ 32
 
 
2400
 
 
 
girls joined

 

Step 1: 2400 - 32 - 390 - 52 = 1926
Step 2: 1926 ÷ 2 = 963
Step 3: 963 + 390 = 1353

There were 1353 boys at first.



3)  

In a school, there were 370 more boys than girls.
When another 54 girls and 78 boys joined the school,
the total enrolment of the school became 2462.
How many boys were there at first
Answer: 1350


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
370
+ 78
Girls
 
+ 54
 
 
2462
 
 
 
girls joined

 

Step 1: 2462 - 54 - 370 - 78 = 1960
Step 2: 1960 ÷ 2 = 980
Step 3: 980 + 370 = 1350

There were 1350 boys at first.



4)  

In a school, there were 408 more boys than girls.
When another 78 girls and 32 boys joined the school,
the total enrolment of the school became 2512.
How many boys were there at first
Answer: 1405


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
408
+ 32
Girls
 
+ 78
 
 
2512
 
 
 
girls joined

 

Step 1: 2512 - 78 - 408 - 32 = 1994
Step 2: 1994 ÷ 2 = 997
Step 3: 997 + 408 = 1405

There were 1405 boys at first.



5)  

In a school, there were 440 more boys than girls.
When another 28 girls and 108 boys joined the school,
the total enrolment of the school became 2314.
How many boys were there at first
Answer: 1309


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
440
+ 108
Girls
 
+ 28
 
 
2314
 
 
 
girls joined

 

Step 1: 2314 - 28 - 440 - 108 = 1738
Step 2: 1738 ÷ 2 = 869
Step 3: 869 + 440 = 1309

There were 1309 boys at first.



6)  

In a school, there were 414 more boys than girls.
When another 50 girls and 104 boys joined the school,
the total enrolment of the school became 2656.
How many boys were there at first
Answer: 1458


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
414
+ 104
Girls
 
+ 50
 
 
2656
 
 
 
girls joined

 

Step 1: 2656 - 50 - 414 - 104 = 2088
Step 2: 2088 ÷ 2 = 1044
Step 3: 1044 + 414 = 1458

There were 1458 boys at first.



7)  

In a school, there were 384 more boys than girls.
When another 60 girls and 104 boys joined the school,
the total enrolment of the school became 2970.
How many boys were there at first
Answer: 1595


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
384
+ 104
Girls
 
+ 60
 
 
2970
 
 
 
girls joined

 

Step 1: 2970 - 60 - 384 - 104 = 2422
Step 2: 2422 ÷ 2 = 1211
Step 3: 1211 + 384 = 1595

There were 1595 boys at first.



8)  

In a school, there were 376 more boys than girls.
When another 28 girls and 42 boys joined the school,
the total enrolment of the school became 2286.
How many boys were there at first
Answer: 1296


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
376
+ 42
Girls
 
+ 28
 
 
2286
 
 
 
girls joined

 

Step 1: 2286 - 28 - 376 - 42 = 1840
Step 2: 1840 ÷ 2 = 920
Step 3: 920 + 376 = 1296

There were 1296 boys at first.



9)  

In a school, there were 356 more boys than girls.
When another 50 girls and 124 boys joined the school,
the total enrolment of the school became 2278.
How many boys were there at first
Answer: 1230


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
356
+ 124
Girls
 
+ 50
 
 
2278
 
 
 
girls joined

 

Step 1: 2278 - 50 - 356 - 124 = 1748
Step 2: 1748 ÷ 2 = 874
Step 3: 874 + 356 = 1230

There were 1230 boys at first.



10)  

In a school, there were 324 more boys than girls.
When another 28 girls and 32 boys joined the school,
the total enrolment of the school became 2338.
How many boys were there at first
Answer: 1301


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
324
+ 32
Girls
 
+ 28
 
 
2338
 
 
 
girls joined

 

Step 1: 2338 - 28 - 324 - 32 = 1954
Step 2: 1954 ÷ 2 = 977
Step 3: 977 + 324 = 1301

There were 1301 boys at first.