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 8 passengers boarded the bus.
At the second stop, 3 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:_______________




2)  

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 13 marbles from Jerry.
At the end of the second stage, he lost 9 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 59 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, 9 passengers alighted and 4 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 10 passengers boarded the bus.
In the end, there were 34 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 8 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 77 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, 4 passengers alighted and 9 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:_______________




6)  

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 7 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 61 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, 9 passengers alighted and 6 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 6 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:_______________




8)  

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 14 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 73 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 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 49 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 2 marbles to Tom, but won 12 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 60 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 8 passengers boarded the bus.
At the second stop, 3 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: 18


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 5 passengers  add 8 passengers  less 3 passengers  add 9 passengers  27
 18 passengers    add 5 passengers  minus 8 passengers    add 3 passengers  minus 9 passengers    27

 

There were 18 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 6 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 9 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 59 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 6 marbles  add 13 marbles  less 9 marbles  add 14 marbles  59
 47 marbles    add 6 marbles  minus 13 marbles    add 9 marbles  minus 14 marbles    59

John had 47 marbles at first before the game.



3)  

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, 4 passengers alighted and another 10 passengers boarded the bus.
In the end, there were 34 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 9 passengers  add 4 passengers  less 4 passengers  add 10 passengers  34
 33 passengers    add 9 passengers  minus 4 passengers    add 4 passengers  minus 10 passengers    34

 

There were 33 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 8 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 77 marbles.
How many marbles did John have at first before the game

Answer: 61


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 8 marbles  add 11 marbles  less 4 marbles  add 17 marbles  77
 61 marbles    add 8 marbles  minus 11 marbles    add 4 marbles  minus 17 marbles    77

John had 61 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 4 passengers alighted and 9 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: 29


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

 

There were 29 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 6 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 16 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 6 marbles  add 14 marbles  less 7 marbles  add 16 marbles  61
 44 marbles    add 6 marbles  minus 14 marbles    add 7 marbles  minus 16 marbles    61

John had 44 marbles at first before the game.



7)  

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, 4 passengers alighted and another 6 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: 46


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 6 passengers  less 4 passengers  add 6 passengers  45
 46 passengers    add 9 passengers  minus 6 passengers    add 4 passengers  minus 6 passengers    45

 

There were 46 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 4 marbles to Tom, but won 14 marbles from Jerry.
At the end of the second stage, he lost 10 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 73 marbles.
How many marbles did John have at first before the game

Answer: 58


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 4 marbles  add 14 marbles  less 10 marbles  add 15 marbles  73
 58 marbles    add 4 marbles  minus 14 marbles    add 10 marbles  minus 15 marbles    73

John had 58 marbles at first before the game.



9)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 10 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 49 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 39


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 10 passengers  less 3 passengers  add 9 passengers  49
 39 passengers    add 6 passengers  minus 10 passengers    add 3 passengers  minus 9 passengers    49

 

There were 39 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 2 marbles to Tom, but won 12 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 60 marbles.
How many marbles did John have at first before the game

Answer: 39


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 2 marbles  add 12 marbles  less 5 marbles  add 16 marbles  60
 39 marbles    add 2 marbles  minus 12 marbles    add 5 marbles  minus 16 marbles    60

John had 39 marbles at first before the game.