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 396 more boys than girls.
When another 56 girls and 114 boys joined the school,
the total enrolment of the school became 2932.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 440 more boys than girls.
When another 32 girls and 126 boys joined the school,
the total enrolment of the school became 2860.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 382 more boys than girls.
When another 36 girls and 118 boys joined the school,
the total enrolment of the school became 2456.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 310 more boys than girls.
When another 32 girls and 88 boys joined the school,
the total enrolment of the school became 2838.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 422 more boys than girls.
When another 58 girls and 22 boys joined the school,
the total enrolment of the school became 2396.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 448 more boys than girls.
When another 20 girls and 74 boys joined the school,
the total enrolment of the school became 2756.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 402 more boys than girls.
When another 30 girls and 30 boys joined the school,
the total enrolment of the school became 2390.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 330 more boys than girls.
When another 42 girls and 24 boys joined the school,
the total enrolment of the school became 2828.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 426 more boys than girls.
When another 34 girls and 124 boys joined the school,
the total enrolment of the school became 2986.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 392 more boys than girls.
When another 28 girls and 100 boys joined the school,
the total enrolment of the school became 2882.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 396 more boys than girls.
When another 56 girls and 114 boys joined the school,
the total enrolment of the school became 2932.
How many boys were there at first
Answer: 1579


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
396
+ 114
Girls
 
+ 56
 
 
2932
 
 
 
girls joined

 

Step 1: 2932 - 56 - 396 - 114 = 2366
Step 2: 2366 ÷ 2 = 1183
Step 3: 1183 + 396 = 1579

There were 1579 boys at first.



2)  

In a school, there were 440 more boys than girls.
When another 32 girls and 126 boys joined the school,
the total enrolment of the school became 2860.
How many boys were there at first
Answer: 1571


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
440
+ 126
Girls
 
+ 32
 
 
2860
 
 
 
girls joined

 

Step 1: 2860 - 32 - 440 - 126 = 2262
Step 2: 2262 ÷ 2 = 1131
Step 3: 1131 + 440 = 1571

There were 1571 boys at first.



3)  

In a school, there were 382 more boys than girls.
When another 36 girls and 118 boys joined the school,
the total enrolment of the school became 2456.
How many boys were there at first
Answer: 1342


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
382
+ 118
Girls
 
+ 36
 
 
2456
 
 
 
girls joined

 

Step 1: 2456 - 36 - 382 - 118 = 1920
Step 2: 1920 ÷ 2 = 960
Step 3: 960 + 382 = 1342

There were 1342 boys at first.



4)  

In a school, there were 310 more boys than girls.
When another 32 girls and 88 boys joined the school,
the total enrolment of the school became 2838.
How many boys were there at first
Answer: 1514


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
310
+ 88
Girls
 
+ 32
 
 
2838
 
 
 
girls joined

 

Step 1: 2838 - 32 - 310 - 88 = 2408
Step 2: 2408 ÷ 2 = 1204
Step 3: 1204 + 310 = 1514

There were 1514 boys at first.



5)  

In a school, there were 422 more boys than girls.
When another 58 girls and 22 boys joined the school,
the total enrolment of the school became 2396.
How many boys were there at first
Answer: 1369


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
422
+ 22
Girls
 
+ 58
 
 
2396
 
 
 
girls joined

 

Step 1: 2396 - 58 - 422 - 22 = 1894
Step 2: 1894 ÷ 2 = 947
Step 3: 947 + 422 = 1369

There were 1369 boys at first.



6)  

In a school, there were 448 more boys than girls.
When another 20 girls and 74 boys joined the school,
the total enrolment of the school became 2756.
How many boys were there at first
Answer: 1555


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
448
+ 74
Girls
 
+ 20
 
 
2756
 
 
 
girls joined

 

Step 1: 2756 - 20 - 448 - 74 = 2214
Step 2: 2214 ÷ 2 = 1107
Step 3: 1107 + 448 = 1555

There were 1555 boys at first.



7)  

In a school, there were 402 more boys than girls.
When another 30 girls and 30 boys joined the school,
the total enrolment of the school became 2390.
How many boys were there at first
Answer: 1366


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
402
+ 30
Girls
 
+ 30
 
 
2390
 
 
 
girls joined

 

Step 1: 2390 - 30 - 402 - 30 = 1928
Step 2: 1928 ÷ 2 = 964
Step 3: 964 + 402 = 1366

There were 1366 boys at first.



8)  

In a school, there were 330 more boys than girls.
When another 42 girls and 24 boys joined the school,
the total enrolment of the school became 2828.
How many boys were there at first
Answer: 1546


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
330
+ 24
Girls
 
+ 42
 
 
2828
 
 
 
girls joined

 

Step 1: 2828 - 42 - 330 - 24 = 2432
Step 2: 2432 ÷ 2 = 1216
Step 3: 1216 + 330 = 1546

There were 1546 boys at first.



9)  

In a school, there were 426 more boys than girls.
When another 34 girls and 124 boys joined the school,
the total enrolment of the school became 2986.
How many boys were there at first
Answer: 1627


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
426
+ 124
Girls
 
+ 34
 
 
2986
 
 
 
girls joined

 

Step 1: 2986 - 34 - 426 - 124 = 2402
Step 2: 2402 ÷ 2 = 1201
Step 3: 1201 + 426 = 1627

There were 1627 boys at first.



10)  

In a school, there were 392 more boys than girls.
When another 28 girls and 100 boys joined the school,
the total enrolment of the school became 2882.
How many boys were there at first
Answer: 1573


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
392
+ 100
Girls
 
+ 28
 
 
2882
 
 
 
girls joined

 

Step 1: 2882 - 28 - 392 - 100 = 2362
Step 2: 2362 ÷ 2 = 1181
Step 3: 1181 + 392 = 1573

There were 1573 boys at first.