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 10 marbles to Tom, but won 15 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 53 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, 8 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 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:_______________




3)  

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 4 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 63 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, 6 passengers alighted and 4 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 2 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:_______________




5)  

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 10 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 74 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, 3 passengers alighted and 4 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 4 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:_______________




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 11 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 77 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, 3 passengers alighted and 5 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 40 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 7 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 57 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 2 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 5 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:_______________




 

1)  

John started with some marbles at the beginning of the game.
At the end of the first stage of the game, he lost 10 marbles to Tom, but won 15 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 53 marbles.
How many marbles did John have at first before the game

Answer: 40


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 15 marbles  less 3 marbles  add 11 marbles  53
 40 marbles    add 10 marbles  minus 15 marbles    add 3 marbles  minus 11 marbles    53

John had 40 marbles at first before the game.



2)  

Some passengers boarded the bus at the interchange.
At the first stop, 8 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 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: 48


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 7 passengers  less 6 passengers  add 6 passengers  47
 48 passengers    add 8 passengers  minus 7 passengers    add 6 passengers  minus 6 passengers    47

 

There were 48 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 7 marbles to Tom, but won 10 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 63 marbles.
How many marbles did John have at first before the game

Answer: 51


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 10 marbles  less 4 marbles  add 13 marbles  63
 51 marbles    add 7 marbles  minus 10 marbles    add 4 marbles  minus 13 marbles    63

John had 51 marbles at first before the game.



4)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 4 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 2 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: 33


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 4 passengers  less 5 passengers  add 2 passengers  28
 33 passengers    add 6 passengers  minus 4 passengers    add 5 passengers  minus 2 passengers    28

 

There were 33 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 6 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 74 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 6 marbles  add 10 marbles  less 7 marbles  add 17 marbles  74
 60 marbles    add 6 marbles  minus 10 marbles    add 7 marbles  minus 17 marbles    74

John had 60 marbles at first before the game.



6)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 4 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 4 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: 30


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 3 passengers  add 4 passengers  less 7 passengers  add 4 passengers  28
 30 passengers    add 3 passengers  minus 4 passengers    add 7 passengers  minus 4 passengers    28

 

There were 30 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 11 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 77 marbles.
How many marbles did John have at first before the game

Answer: 57


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 11 marbles  less 3 marbles  add 18 marbles  77
 57 marbles    add 6 marbles  minus 11 marbles    add 3 marbles  minus 18 marbles    77

John had 57 marbles at first before the game.



8)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 5 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 40 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 3 passengers  add 5 passengers  less 7 passengers  add 8 passengers  40
 37 passengers    add 3 passengers  minus 5 passengers    add 7 passengers  minus 8 passengers    40

 

There were 37 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 7 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 57 marbles.
How many marbles did John have at first before the game

Answer: 48


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 16 marbles  less 10 marbles  add 10 marbles  57
 48 marbles    add 7 marbles  minus 16 marbles    add 10 marbles  minus 10 marbles    57

John had 48 marbles at first before the game.



10)  

Some passengers boarded the bus at the interchange.
At the first stop, 3 passengers alighted and 2 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 5 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: 31


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 3 passengers  add 2 passengers  less 3 passengers  add 5 passengers  32
 31 passengers    add 3 passengers  minus 2 passengers    add 3 passengers  minus 5 passengers    32

 

There were 31 passengers boarded the bus at the interchange at first.