Scroll:Whole Numbers >> Other Heuristics >> ps (2719)

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)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 5 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 36 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




2)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 3 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game


Answer:_______________




3)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 28 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




4)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 3 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 80 marbles.
How many marbles did John have at first before the game


Answer:_______________




5)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 5 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 20 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




6)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 8 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 78 marbles.
How many marbles did John have at first before the game


Answer:_______________




7)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 7 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 29 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




8)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 7 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 70 marbles.
How many marbles did John have at first before the game


Answer:_______________




9)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 6 passengers boarded the bus.
At the second stop, 9 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 35 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




10)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 7 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 68 marbles.
How many marbles did John have at first before the game


Answer:_______________




 

1)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 5 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 36 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 38


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 5 passengers  add 5 passengers  less 5 passengers  add 3 passengers  36
 38 passengers    add 5 passengers  minus 5 passengers    add 5 passengers  minus 3 passengers    36

 

There were 38 passengers boarded the bus at the interchange at first.



2)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 3 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game

Answer: 33


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 3 marbles  add 14 marbles  less 3 marbles  add 14 marbles  55
 33 marbles    add 3 marbles  minus 14 marbles    add 3 marbles  minus 14 marbles    55

John had 33 marbles at first before the game.



3)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 28 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 18


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 5 passengers  add 10 passengers  less 3 passengers  add 8 passengers  28
 18 passengers    add 5 passengers  minus 10 passengers    add 3 passengers  minus 8 passengers    28

 

There were 18 passengers boarded the bus at the interchange at first.



4)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 3 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 80 marbles.
How many marbles did John have at first before the game

Answer: 65


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 3 marbles  add 10 marbles  less 5 marbles  add 13 marbles  80
 65 marbles    add 3 marbles  minus 10 marbles    add 5 marbles  minus 13 marbles    80

John had 65 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 5 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 20 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 24


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 5 passengers  less 6 passengers  add 6 passengers  20
 24 passengers    add 9 passengers  minus 5 passengers    add 6 passengers  minus 6 passengers    20

 

There were 24 passengers boarded the bus at the interchange at first.



6)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 8 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 78 marbles.
How many marbles did John have at first before the game

Answer: 63


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 8 marbles  add 14 marbles  less 2 marbles  add 11 marbles  78
 63 marbles    add 8 marbles  minus 14 marbles    add 2 marbles  minus 11 marbles    78

John had 63 marbles at first before the game.



7)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 7 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 29 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 25


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 3 passengers  add 7 passengers  less 3 passengers  add 3 passengers  29
 25 passengers    add 3 passengers  minus 7 passengers    add 3 passengers  minus 3 passengers    29

 

There were 25 passengers boarded the bus at the interchange at first.



8)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 7 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 70 marbles.
How many marbles did John have at first before the game

Answer: 55


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 11 marbles  less 4 marbles  add 15 marbles  70
 55 marbles    add 7 marbles  minus 11 marbles    add 4 marbles  minus 15 marbles    70

John had 55 marbles at first before the game.



9)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 6 passengers boarded the bus.
At the second stop, 9 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 35 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 35


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 6 passengers  less 9 passengers  add 9 passengers  35
 35 passengers    add 6 passengers  minus 6 passengers    add 9 passengers  minus 9 passengers    35

 

There were 35 passengers boarded the bus at the interchange at first.



10)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 7 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 68 marbles.
How many marbles did John have at first before the game

Answer: 60


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 10 marbles  less 7 marbles  add 12 marbles  68
 60 marbles    add 7 marbles  minus 10 marbles    add 7 marbles  minus 12 marbles    68

John had 60 marbles at first before the game.