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 348 more boys than girls.
When another 48 girls and 46 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first


Answer:_______________




2)  

In a school, there were 334 more boys than girls.
When another 56 girls and 96 boys joined the school,
the total enrolment of the school became 2978.
How many boys were there at first


Answer:_______________




3)  

In a school, there were 342 more boys than girls.
When another 48 girls and 68 boys joined the school,
the total enrolment of the school became 2938.
How many boys were there at first


Answer:_______________




4)  

In a school, there were 446 more boys than girls.
When another 28 girls and 114 boys joined the school,
the total enrolment of the school became 2640.
How many boys were there at first


Answer:_______________




5)  

In a school, there were 334 more boys than girls.
When another 36 girls and 96 boys joined the school,
the total enrolment of the school became 2618.
How many boys were there at first


Answer:_______________




6)  

In a school, there were 428 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2220.
How many boys were there at first


Answer:_______________




7)  

In a school, there were 304 more boys than girls.
When another 20 girls and 106 boys joined the school,
the total enrolment of the school became 2586.
How many boys were there at first


Answer:_______________




8)  

In a school, there were 320 more boys than girls.
When another 50 girls and 64 boys joined the school,
the total enrolment of the school became 2098.
How many boys were there at first


Answer:_______________




9)  

In a school, there were 426 more boys than girls.
When another 34 girls and 48 boys joined the school,
the total enrolment of the school became 2374.
How many boys were there at first


Answer:_______________




10)  

In a school, there were 384 more boys than girls.
When another 70 girls and 62 boys joined the school,
the total enrolment of the school became 2448.
How many boys were there at first


Answer:_______________




 

1)  

In a school, there were 348 more boys than girls.
When another 48 girls and 46 boys joined the school,
the total enrolment of the school became 2310.
How many boys were there at first
Answer: 1282


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
348
+ 46
Girls
 
+ 48
 
 
2310
 
 
 
girls joined

 

Step 1: 2310 - 48 - 348 - 46 = 1868
Step 2: 1868 ÷ 2 = 934
Step 3: 934 + 348 = 1282

There were 1282 boys at first.



2)  

In a school, there were 334 more boys than girls.
When another 56 girls and 96 boys joined the school,
the total enrolment of the school became 2978.
How many boys were there at first
Answer: 1580


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
334
+ 96
Girls
 
+ 56
 
 
2978
 
 
 
girls joined

 

Step 1: 2978 - 56 - 334 - 96 = 2492
Step 2: 2492 ÷ 2 = 1246
Step 3: 1246 + 334 = 1580

There were 1580 boys at first.



3)  

In a school, there were 342 more boys than girls.
When another 48 girls and 68 boys joined the school,
the total enrolment of the school became 2938.
How many boys were there at first
Answer: 1582


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
342
+ 68
Girls
 
+ 48
 
 
2938
 
 
 
girls joined

 

Step 1: 2938 - 48 - 342 - 68 = 2480
Step 2: 2480 ÷ 2 = 1240
Step 3: 1240 + 342 = 1582

There were 1582 boys at first.



4)  

In a school, there were 446 more boys than girls.
When another 28 girls and 114 boys joined the school,
the total enrolment of the school became 2640.
How many boys were there at first
Answer: 1472


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
446
+ 114
Girls
 
+ 28
 
 
2640
 
 
 
girls joined

 

Step 1: 2640 - 28 - 446 - 114 = 2052
Step 2: 2052 ÷ 2 = 1026
Step 3: 1026 + 446 = 1472

There were 1472 boys at first.



5)  

In a school, there were 334 more boys than girls.
When another 36 girls and 96 boys joined the school,
the total enrolment of the school became 2618.
How many boys were there at first
Answer: 1410


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
334
+ 96
Girls
 
+ 36
 
 
2618
 
 
 
girls joined

 

Step 1: 2618 - 36 - 334 - 96 = 2152
Step 2: 2152 ÷ 2 = 1076
Step 3: 1076 + 334 = 1410

There were 1410 boys at first.



6)  

In a school, there were 428 more boys than girls.
When another 52 girls and 62 boys joined the school,
the total enrolment of the school became 2220.
How many boys were there at first
Answer: 1267


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
428
+ 62
Girls
 
+ 52
 
 
2220
 
 
 
girls joined

 

Step 1: 2220 - 52 - 428 - 62 = 1678
Step 2: 1678 ÷ 2 = 839
Step 3: 839 + 428 = 1267

There were 1267 boys at first.



7)  

In a school, there were 304 more boys than girls.
When another 20 girls and 106 boys joined the school,
the total enrolment of the school became 2586.
How many boys were there at first
Answer: 1382


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
304
+ 106
Girls
 
+ 20
 
 
2586
 
 
 
girls joined

 

Step 1: 2586 - 20 - 304 - 106 = 2156
Step 2: 2156 ÷ 2 = 1078
Step 3: 1078 + 304 = 1382

There were 1382 boys at first.



8)  

In a school, there were 320 more boys than girls.
When another 50 girls and 64 boys joined the school,
the total enrolment of the school became 2098.
How many boys were there at first
Answer: 1152


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
320
+ 64
Girls
 
+ 50
 
 
2098
 
 
 
girls joined

 

Step 1: 2098 - 50 - 320 - 64 = 1664
Step 2: 1664 ÷ 2 = 832
Step 3: 832 + 320 = 1152

There were 1152 boys at first.



9)  

In a school, there were 426 more boys than girls.
When another 34 girls and 48 boys joined the school,
the total enrolment of the school became 2374.
How many boys were there at first
Answer: 1359


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
426
+ 48
Girls
 
+ 34
 
 
2374
 
 
 
girls joined

 

Step 1: 2374 - 34 - 426 - 48 = 1866
Step 2: 1866 ÷ 2 = 933
Step 3: 933 + 426 = 1359

There were 1359 boys at first.



10)  

In a school, there were 384 more boys than girls.
When another 70 girls and 62 boys joined the school,
the total enrolment of the school became 2448.
How many boys were there at first
Answer: 1350


SOLUTION 1 :
 
more boys
 
 
boys joined
 
 
Boys
 
384
+ 62
Girls
 
+ 70
 
 
2448
 
 
 
girls joined

 

Step 1: 2448 - 70 - 384 - 62 = 1932
Step 2: 1932 ÷ 2 = 966
Step 3: 966 + 384 = 1350

There were 1350 boys at first.