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 410 more boys than girls.
When another 78 girls and 98 boys joined the school,
the total enrolment of the school became 2300.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 362 more boys than girls.
When another 20 girls and 46 boys joined the school,
the total enrolment of the school became 2970.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 344 more boys than girls.
When another 74 girls and 94 boys joined the school,
the total enrolment of the school became 2990.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 410 more boys than girls.
When another 36 girls and 118 boys joined the school,
the total enrolment of the school became 2242.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 360 more boys than girls.
When another 30 girls and 44 boys joined the school,
the total enrolment of the school became 2332.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 338 more boys than girls.
When another 68 girls and 86 boys joined the school,
the total enrolment of the school became 2934.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 358 more boys than girls.
When another 30 girls and 106 boys joined the school,
the total enrolment of the school became 2940.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 366 more boys than girls.
When another 74 girls and 118 boys joined the school,
the total enrolment of the school became 2100.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 302 more boys than girls.
When another 62 girls and 96 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 388 more boys than girls.
When another 24 girls and 56 boys joined the school,
the total enrolment of the school became 2176.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 410 more boys than girls.
When another 78 girls and 98 boys joined the school,
the total enrolment of the school became 2300.
How many boys were there at first
Answer: 1267


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
410
+ 98
Girls
 
+ 78
 
 
2300
 
 
 
girls joined

 

Step 1: 2300 - 78 - 410 - 98 = 1714
Step 2: 1714 ÷ 2 = 857
Step 3: 857 + 410 = 1267

There were 1267 boys at first.



2)  

In a school, there were 362 more boys than girls.
When another 20 girls and 46 boys joined the school,
the total enrolment of the school became 2970.
How many boys were there at first
Answer: 1633


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
362
+ 46
Girls
 
+ 20
 
 
2970
 
 
 
girls joined

 

Step 1: 2970 - 20 - 362 - 46 = 2542
Step 2: 2542 ÷ 2 = 1271
Step 3: 1271 + 362 = 1633

There were 1633 boys at first.



3)  

In a school, there were 344 more boys than girls.
When another 74 girls and 94 boys joined the school,
the total enrolment of the school became 2990.
How many boys were there at first
Answer: 1583


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
344
+ 94
Girls
 
+ 74
 
 
2990
 
 
 
girls joined

 

Step 1: 2990 - 74 - 344 - 94 = 2478
Step 2: 2478 ÷ 2 = 1239
Step 3: 1239 + 344 = 1583

There were 1583 boys at first.



4)  

In a school, there were 410 more boys than girls.
When another 36 girls and 118 boys joined the school,
the total enrolment of the school became 2242.
How many boys were there at first
Answer: 1249


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
410
+ 118
Girls
 
+ 36
 
 
2242
 
 
 
girls joined

 

Step 1: 2242 - 36 - 410 - 118 = 1678
Step 2: 1678 ÷ 2 = 839
Step 3: 839 + 410 = 1249

There were 1249 boys at first.



5)  

In a school, there were 360 more boys than girls.
When another 30 girls and 44 boys joined the school,
the total enrolment of the school became 2332.
How many boys were there at first
Answer: 1309


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
360
+ 44
Girls
 
+ 30
 
 
2332
 
 
 
girls joined

 

Step 1: 2332 - 30 - 360 - 44 = 1898
Step 2: 1898 ÷ 2 = 949
Step 3: 949 + 360 = 1309

There were 1309 boys at first.



6)  

In a school, there were 338 more boys than girls.
When another 68 girls and 86 boys joined the school,
the total enrolment of the school became 2934.
How many boys were there at first
Answer: 1559


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
338
+ 86
Girls
 
+ 68
 
 
2934
 
 
 
girls joined

 

Step 1: 2934 - 68 - 338 - 86 = 2442
Step 2: 2442 ÷ 2 = 1221
Step 3: 1221 + 338 = 1559

There were 1559 boys at first.



7)  

In a school, there were 358 more boys than girls.
When another 30 girls and 106 boys joined the school,
the total enrolment of the school became 2940.
How many boys were there at first
Answer: 1581


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
358
+ 106
Girls
 
+ 30
 
 
2940
 
 
 
girls joined

 

Step 1: 2940 - 30 - 358 - 106 = 2446
Step 2: 2446 ÷ 2 = 1223
Step 3: 1223 + 358 = 1581

There were 1581 boys at first.



8)  

In a school, there were 366 more boys than girls.
When another 74 girls and 118 boys joined the school,
the total enrolment of the school became 2100.
How many boys were there at first
Answer: 1137


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
366
+ 118
Girls
 
+ 74
 
 
2100
 
 
 
girls joined

 

Step 1: 2100 - 74 - 366 - 118 = 1542
Step 2: 1542 ÷ 2 = 771
Step 3: 771 + 366 = 1137

There were 1137 boys at first.



9)  

In a school, there were 302 more boys than girls.
When another 62 girls and 96 boys joined the school,
the total enrolment of the school became 2364.
How many boys were there at first
Answer: 1254


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
302
+ 96
Girls
 
+ 62
 
 
2364
 
 
 
girls joined

 

Step 1: 2364 - 62 - 302 - 96 = 1904
Step 2: 1904 ÷ 2 = 952
Step 3: 952 + 302 = 1254

There were 1254 boys at first.



10)  

In a school, there were 388 more boys than girls.
When another 24 girls and 56 boys joined the school,
the total enrolment of the school became 2176.
How many boys were there at first
Answer: 1242


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
388
+ 56
Girls
 
+ 24
 
 
2176
 
 
 
girls joined

 

Step 1: 2176 - 24 - 388 - 56 = 1708
Step 2: 1708 ÷ 2 = 854
Step 3: 854 + 388 = 1242

There were 1242 boys at first.