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)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 6 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 70 marbles.
How many marbles did John have at first before the game


Answer:_______________




2)  

Some passengers boarded the bus at the interchange.
At the first stop, 7 passengers alighted and 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 7 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:_______________




3)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 9 marbles to Tom, but won 12 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 78 marbles.
How many marbles did John have at first before the game


Answer:_______________




4)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 6 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 4 passengers boarded the bus.
In the end, there were 32 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




5)  

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 17 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game


Answer:_______________




6)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 47 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




7)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 6 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 54 marbles.
How many marbles did John have at first before the game


Answer:_______________




8)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 6 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 30 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




9)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 2 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 9 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 52 marbles.
How many marbles did John have at first before the game


Answer:_______________




10)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 8 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 45 passengers on the bus.
How many passengers boarded the bus at the interchange at first



Answer:_______________




 

1)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 6 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 70 marbles.
How many marbles did John have at first before the game

Answer: 53


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 14 marbles  less 4 marbles  add 13 marbles  70
 53 marbles    add 6 marbles  minus 14 marbles    add 4 marbles  minus 13 marbles    70

John had 53 marbles at first before the game.



2)  

Some passengers boarded the bus at the interchange.
At the first stop, 7 passengers alighted and 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 7 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: 22


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 7 passengers  add 10 passengers  less 3 passengers  add 7 passengers  29
 22 passengers    add 7 passengers  minus 10 passengers    add 3 passengers  minus 7 passengers    29

 

There were 22 passengers boarded the bus at the interchange at first.



3)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 9 marbles to Tom, but won 12 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 78 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 9 marbles  add 12 marbles  less 2 marbles  add 17 marbles  78
 60 marbles    add 9 marbles  minus 12 marbles    add 2 marbles  minus 17 marbles    78

John had 60 marbles at first before the game.



4)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 6 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 4 passengers boarded the bus.
In the end, there were 32 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 37


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 6 passengers  less 6 passengers  add 4 passengers  32
 37 passengers    add 9 passengers  minus 6 passengers    add 6 passengers  minus 4 passengers    32

 

There were 37 passengers boarded the bus at the interchange at first.



5)  

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 17 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game

Answer: 36


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 17 marbles  less 3 marbles  add 12 marbles  55
 36 marbles    add 7 marbles  minus 17 marbles    add 3 marbles  minus 12 marbles    55

John had 36 marbles at first before the game.



6)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 47 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 53


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 7 passengers  less 6 passengers  add 2 passengers  47
 53 passengers    add 9 passengers  minus 7 passengers    add 6 passengers  minus 2 passengers    47

 

There were 53 passengers boarded the bus at the interchange at first.



7)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 6 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 54 marbles.
How many marbles did John have at first before the game

Answer: 30


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 16 marbles  less 2 marbles  add 16 marbles  54
 30 marbles    add 6 marbles  minus 16 marbles    add 2 marbles  minus 16 marbles    54

John had 30 marbles at first before the game.



8)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 6 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 30 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 23


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 5 passengers  add 6 passengers  less 3 passengers  add 9 passengers  30
 23 passengers    add 5 passengers  minus 6 passengers    add 3 passengers  minus 9 passengers    30

 

There were 23 passengers boarded the bus at the interchange at first.



9)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 2 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 9 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 52 marbles.
How many marbles did John have at first before the game

Answer: 37


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 2 marbles  add 10 marbles  less 9 marbles  add 16 marbles  52
 37 marbles    add 2 marbles  minus 10 marbles    add 9 marbles  minus 16 marbles    52

John had 37 marbles at first before the game.



10)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 8 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 45 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 40


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 3 passengers  add 8 passengers  less 5 passengers  add 5 passengers  45
 40 passengers    add 3 passengers  minus 8 passengers    add 5 passengers  minus 5 passengers    45

 

There were 40 passengers boarded the bus at the interchange at first.