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 10 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 50 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, 5 passengers alighted and 2 passengers boarded the bus.
At the second stop, 9 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 37 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 6 marbles to Jerry but gained 10 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, 6 passengers alighted and 8 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 24 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 10 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 77 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, 6 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 42 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 5 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 75 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 2 passengers boarded the bus.
At the second stop, 5 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 11 marbles from Jerry.
At the end of the second stage, he lost 10 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:_______________




10)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 4 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 46 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 10 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 13 marbles from Tom.
In the end, John had 50 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 4 marbles  add 10 marbles  less 2 marbles  add 13 marbles  50
 33 marbles    add 4 marbles  minus 10 marbles    add 2 marbles  minus 13 marbles    50

John had 33 marbles at first before the game.



2)  

Some passengers boarded the bus at the interchange.
At the first stop, 5 passengers alighted and 2 passengers boarded the bus.
At the second stop, 9 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 37 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 46


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 5 passengers  add 2 passengers  less 9 passengers  add 3 passengers  37
 46 passengers    add 5 passengers  minus 2 passengers    add 9 passengers  minus 3 passengers    37

 

There were 46 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 6 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 78 marbles.
How many marbles did John have at first before the game

Answer: 71


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 10 marbles  less 6 marbles  add 10 marbles  78
 71 marbles    add 7 marbles  minus 10 marbles    add 6 marbles  minus 10 marbles    78

John had 71 marbles at first before the game.



4)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 8 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 24 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 6 passengers  add 8 passengers  less 3 passengers  add 2 passengers  24
 23 passengers    add 6 passengers  minus 8 passengers    add 3 passengers  minus 2 passengers    24

 

There were 23 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 10 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 77 marbles.
How many marbles did John have at first before the game

Answer: 74


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 11 marbles  less 8 marbles  add 10 marbles  77
 74 marbles    add 10 marbles  minus 11 marbles    add 8 marbles  minus 10 marbles    77

John had 74 marbles at first before the game.



6)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 7 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 42 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 6 passengers  add 7 passengers  less 6 passengers  add 7 passengers  42
 40 passengers    add 6 passengers  minus 7 passengers    add 6 passengers  minus 7 passengers    42

 

There were 40 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 5 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 75 marbles.
How many marbles did John have at first before the game

Answer: 47


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 5 marbles  add 17 marbles  less 2 marbles  add 18 marbles  75
 47 marbles    add 5 marbles  minus 17 marbles    add 2 marbles  minus 18 marbles    75

John had 47 marbles at first before the game.



8)  

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, 5 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: 38


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

 

There were 38 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 11 marbles from Jerry.
At the end of the second stage, he lost 10 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: 73


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 7 marbles  add 11 marbles  less 10 marbles  add 12 marbles  79
 73 marbles    add 7 marbles  minus 11 marbles    add 10 marbles  minus 12 marbles    79

John had 73 marbles at first before the game.



10)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 passengers alighted and 4 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 46 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 49


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 4 passengers  less 3 passengers  add 5 passengers  46
 49 passengers    add 9 passengers  minus 4 passengers    add 3 passengers  minus 5 passengers    46

 

There were 49 passengers boarded the bus at the interchange at first.