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 322 more boys than girls.
When another 24 girls and 78 boys joined the school,
the total enrolment of the school became 2350.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 426 more boys than girls.
When another 66 girls and 138 boys joined the school,
the total enrolment of the school became 2888.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 340 more boys than girls.
When another 42 girls and 130 boys joined the school,
the total enrolment of the school became 2586.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 448 more boys than girls.
When another 28 girls and 76 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 396 more boys than girls.
When another 76 girls and 30 boys joined the school,
the total enrolment of the school became 2660.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 412 more boys than girls.
When another 38 girls and 112 boys joined the school,
the total enrolment of the school became 2942.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 360 more boys than girls.
When another 62 girls and 64 boys joined the school,
the total enrolment of the school became 2920.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 308 more boys than girls.
When another 42 girls and 56 boys joined the school,
the total enrolment of the school became 2730.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 358 more boys than girls.
When another 20 girls and 124 boys joined the school,
the total enrolment of the school became 2782.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 360 more boys than girls.
When another 38 girls and 50 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 322 more boys than girls.
When another 24 girls and 78 boys joined the school,
the total enrolment of the school became 2350.
How many boys were there at first
Answer: 1285


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
322
+ 78
Girls
 
+ 24
 
 
2350
 
 
 
girls joined

 

Step 1: 2350 - 24 - 322 - 78 = 1926
Step 2: 1926 ÷ 2 = 963
Step 3: 963 + 322 = 1285

There were 1285 boys at first.



2)  

In a school, there were 426 more boys than girls.
When another 66 girls and 138 boys joined the school,
the total enrolment of the school became 2888.
How many boys were there at first
Answer: 1555


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
426
+ 138
Girls
 
+ 66
 
 
2888
 
 
 
girls joined

 

Step 1: 2888 - 66 - 426 - 138 = 2258
Step 2: 2258 ÷ 2 = 1129
Step 3: 1129 + 426 = 1555

There were 1555 boys at first.



3)  

In a school, there were 340 more boys than girls.
When another 42 girls and 130 boys joined the school,
the total enrolment of the school became 2586.
How many boys were there at first
Answer: 1377


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
340
+ 130
Girls
 
+ 42
 
 
2586
 
 
 
girls joined

 

Step 1: 2586 - 42 - 340 - 130 = 2074
Step 2: 2074 ÷ 2 = 1037
Step 3: 1037 + 340 = 1377

There were 1377 boys at first.



4)  

In a school, there were 448 more boys than girls.
When another 28 girls and 76 boys joined the school,
the total enrolment of the school became 2040.
How many boys were there at first
Answer: 1192


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
448
+ 76
Girls
 
+ 28
 
 
2040
 
 
 
girls joined

 

Step 1: 2040 - 28 - 448 - 76 = 1488
Step 2: 1488 ÷ 2 = 744
Step 3: 744 + 448 = 1192

There were 1192 boys at first.



5)  

In a school, there were 396 more boys than girls.
When another 76 girls and 30 boys joined the school,
the total enrolment of the school became 2660.
How many boys were there at first
Answer: 1475


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
396
+ 30
Girls
 
+ 76
 
 
2660
 
 
 
girls joined

 

Step 1: 2660 - 76 - 396 - 30 = 2158
Step 2: 2158 ÷ 2 = 1079
Step 3: 1079 + 396 = 1475

There were 1475 boys at first.



6)  

In a school, there were 412 more boys than girls.
When another 38 girls and 112 boys joined the school,
the total enrolment of the school became 2942.
How many boys were there at first
Answer: 1602


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
412
+ 112
Girls
 
+ 38
 
 
2942
 
 
 
girls joined

 

Step 1: 2942 - 38 - 412 - 112 = 2380
Step 2: 2380 ÷ 2 = 1190
Step 3: 1190 + 412 = 1602

There were 1602 boys at first.



7)  

In a school, there were 360 more boys than girls.
When another 62 girls and 64 boys joined the school,
the total enrolment of the school became 2920.
How many boys were there at first
Answer: 1577


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
360
+ 64
Girls
 
+ 62
 
 
2920
 
 
 
girls joined

 

Step 1: 2920 - 62 - 360 - 64 = 2434
Step 2: 2434 ÷ 2 = 1217
Step 3: 1217 + 360 = 1577

There were 1577 boys at first.



8)  

In a school, there were 308 more boys than girls.
When another 42 girls and 56 boys joined the school,
the total enrolment of the school became 2730.
How many boys were there at first
Answer: 1470


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
308
+ 56
Girls
 
+ 42
 
 
2730
 
 
 
girls joined

 

Step 1: 2730 - 42 - 308 - 56 = 2324
Step 2: 2324 ÷ 2 = 1162
Step 3: 1162 + 308 = 1470

There were 1470 boys at first.



9)  

In a school, there were 358 more boys than girls.
When another 20 girls and 124 boys joined the school,
the total enrolment of the school became 2782.
How many boys were there at first
Answer: 1498


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
358
+ 124
Girls
 
+ 20
 
 
2782
 
 
 
girls joined

 

Step 1: 2782 - 20 - 358 - 124 = 2280
Step 2: 2280 ÷ 2 = 1140
Step 3: 1140 + 358 = 1498

There were 1498 boys at first.



10)  

In a school, there were 360 more boys than girls.
When another 38 girls and 50 boys joined the school,
the total enrolment of the school became 2842.
How many boys were there at first
Answer: 1557


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
360
+ 50
Girls
 
+ 38
 
 
2842
 
 
 
girls joined

 

Step 1: 2842 - 38 - 360 - 50 = 2394
Step 2: 2394 ÷ 2 = 1197
Step 3: 1197 + 360 = 1557

There were 1557 boys at first.