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 4 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 61 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, 9 passengers alighted and another 8 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:_______________




3)  

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 14 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 80 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, 3 passengers alighted and 2 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 4 passengers boarded the bus.
In the end, there were 43 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 2 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 58 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, 8 passengers alighted and 5 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 27 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 10 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 79 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, 9 passengers alighted and 5 passengers boarded the bus.
At the second stop, 9 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 39 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 18 marbles from Jerry.
At the end of the second stage, he lost 2 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:_______________




10)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 9 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 39 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 4 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 61 marbles.
How many marbles did John have at first before the game

Answer: 44


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 4 marbles  add 17 marbles  less 8 marbles  add 12 marbles  61
 44 marbles    add 4 marbles  minus 17 marbles    add 8 marbles  minus 12 marbles    61

John had 44 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, 9 passengers alighted and another 8 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: 37


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 7 passengers  less 9 passengers  add 8 passengers  35
 37 passengers    add 8 passengers  minus 7 passengers    add 9 passengers  minus 8 passengers    35

 

There were 37 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 10 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 80 marbles.
How many marbles did John have at first before the game

Answer: 75


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 14 marbles  less 10 marbles  add 11 marbles  80
 75 marbles    add 10 marbles  minus 14 marbles    add 10 marbles  minus 11 marbles    80

John had 75 marbles at first before the game.



4)  

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, 7 passengers alighted and another 4 passengers boarded the bus.
In the end, there were 43 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 47


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 3 passengers  add 2 passengers  less 7 passengers  add 4 passengers  43
 47 passengers    add 3 passengers  minus 2 passengers    add 7 passengers  minus 4 passengers    43

 

There were 47 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 2 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 58 marbles.
How many marbles did John have at first before the game

Answer: 43


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 2 marbles  add 13 marbles  less 8 marbles  add 12 marbles  58
 43 marbles    add 2 marbles  minus 13 marbles    add 8 marbles  minus 12 marbles    58

John had 43 marbles at first before the game.



6)  

Some passengers boarded the bus at the interchange.
At the first stop, 8 passengers alighted and 5 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 27 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 27


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 5 passengers  less 6 passengers  add 9 passengers  27
 27 passengers    add 8 passengers  minus 5 passengers    add 6 passengers  minus 9 passengers    27

 

There were 27 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 10 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 79 marbles.
How many marbles did John have at first before the game

Answer: 69


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 13 marbles  less 5 marbles  add 12 marbles  79
 69 marbles    add 10 marbles  minus 13 marbles    add 5 marbles  minus 12 marbles    79

John had 69 marbles at first before the game.



8)  

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, 9 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 39 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 45


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 5 passengers  less 9 passengers  add 7 passengers  39
 45 passengers    add 9 passengers  minus 5 passengers    add 9 passengers  minus 7 passengers    39

 

There were 45 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 18 marbles from Jerry.
At the end of the second stage, he lost 2 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: 32


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 18 marbles  less 2 marbles  add 14 marbles  55
 32 marbles    add 7 marbles  minus 18 marbles    add 2 marbles  minus 14 marbles    55

John had 32 marbles at first before the game.



10)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 9 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 39 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 34


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 9 passengers  less 6 passengers  add 8 passengers  39
 34 passengers    add 6 passengers  minus 9 passengers    add 6 passengers  minus 8 passengers    39

 

There were 34 passengers boarded the bus at the interchange at first.