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, 8 passengers alighted and 5 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 26 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 12 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 54 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, 6 passengers alighted and 2 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 26 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 10 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 79 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, 7 passengers alighted and 2 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 31 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 4 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 6 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 69 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, 7 passengers alighted and 8 passengers boarded the bus.
At the second stop, 8 passengers alighted and another 8 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:_______________




8)  

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 15 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 55 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 4 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 48 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 10 marbles to Tom, but won 18 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 58 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, 8 passengers alighted and 5 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 26 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 26


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 5 passengers  less 5 passengers  add 8 passengers  26
 26 passengers    add 8 passengers  minus 5 passengers    add 5 passengers  minus 8 passengers    26

 

There were 26 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 12 marbles from Jerry.
At the end of the second stage, he lost 7 marbles to Jerry but gained 14 marbles from Tom.
In the end, John had 54 marbles.
How many marbles did John have at first before the game

Answer: 41


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 12 marbles  less 7 marbles  add 14 marbles  54
 41 marbles    add 6 marbles  minus 12 marbles    add 7 marbles  minus 14 marbles    54

John had 41 marbles at first before the game.



3)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 2 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 26 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 6 passengers  add 2 passengers  less 6 passengers  add 6 passengers  26
 30 passengers    add 6 passengers  minus 2 passengers    add 6 passengers  minus 6 passengers    26

 

There were 30 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 10 marbles to Tom, but won 17 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 79 marbles.
How many marbles did John have at first before the game

Answer: 59


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 17 marbles  less 3 marbles  add 16 marbles  79
 59 marbles    add 10 marbles  minus 17 marbles    add 3 marbles  minus 16 marbles    79

John had 59 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 7 passengers alighted and 2 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 7 passengers boarded the bus.
In the end, there were 31 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 7 passengers  add 2 passengers  less 5 passengers  add 7 passengers  31
 34 passengers    add 7 passengers  minus 2 passengers    add 5 passengers  minus 7 passengers    31

 

There were 34 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 4 marbles to Tom, but won 16 marbles from Jerry.
At the end of the second stage, he lost 6 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 69 marbles.
How many marbles did John have at first before the game

Answer: 52


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 4 marbles  add 16 marbles  less 6 marbles  add 11 marbles  69
 52 marbles    add 4 marbles  minus 16 marbles    add 6 marbles  minus 11 marbles    69

John had 52 marbles at first before the game.



7)  

Some passengers boarded the bus at the interchange.
At the first stop, 7 passengers alighted and 8 passengers boarded the bus.
At the second stop, 8 passengers alighted and another 8 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 7 passengers  add 8 passengers  less 8 passengers  add 8 passengers  32
 31 passengers    add 7 passengers  minus 8 passengers    add 8 passengers  minus 8 passengers    32

 

There were 31 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 6 marbles to Tom, but won 15 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game

Answer: 34


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 15 marbles  less 3 marbles  add 15 marbles  55
 34 marbles    add 6 marbles  minus 15 marbles    add 3 marbles  minus 15 marbles    55

John had 34 marbles at first before the game.



9)  

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, 4 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 48 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 51


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 4 passengers  less 4 passengers  add 3 passengers  48
 51 passengers    add 6 passengers  minus 4 passengers    add 4 passengers  minus 3 passengers    48

 

There were 51 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 10 marbles to Tom, but won 18 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 58 marbles.
How many marbles did John have at first before the game

Answer: 41


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 18 marbles  less 3 marbles  add 12 marbles  58
 41 marbles    add 10 marbles  minus 18 marbles    add 3 marbles  minus 12 marbles    58

John had 41 marbles at first before the game.