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 6 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 29 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 4 marbles to Tom, but won 16 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 65 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, 8 passengers alighted and 8 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 25 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 9 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 6 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 72 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, 8 passengers alighted and 2 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 33 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 2 marbles to Tom, but won 12 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 58 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, 4 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 41 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 12 marbles from Jerry.
At the end of the second stage, he lost 5 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:_______________




9)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 5 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 36 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 10 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 61 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 6 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 29 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 28


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 6 passengers  less 6 passengers  add 9 passengers  29
 28 passengers    add 8 passengers  minus 6 passengers    add 6 passengers  minus 9 passengers    29

 

There were 28 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 4 marbles to Tom, but won 16 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 65 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 4 marbles  add 16 marbles  less 9 marbles  add 14 marbles  65
 48 marbles    add 4 marbles  minus 16 marbles    add 9 marbles  minus 14 marbles    65

John had 48 marbles at first before the game.



3)  

Some passengers boarded the bus at the interchange.
At the first stop, 8 passengers alighted and 8 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 9 passengers boarded the bus.
In the end, there were 25 passengers on the bus.
How many passengers boarded the bus at the interchange at first

Answer: 21


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 8 passengers  add 8 passengers  less 5 passengers  add 9 passengers  25
 21 passengers    add 8 passengers  minus 8 passengers    add 5 passengers  minus 9 passengers    25

 

There were 21 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 9 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 6 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 72 marbles.
How many marbles did John have at first before the game

Answer: 65


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 9 marbles  add 10 marbles  less 6 marbles  add 12 marbles  72
 65 marbles    add 9 marbles  minus 10 marbles    add 6 marbles  minus 12 marbles    72

John had 65 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 8 passengers alighted and 2 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 3 passengers boarded the bus.
In the end, there were 33 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 8 passengers  add 2 passengers  less 4 passengers  add 3 passengers  33
 40 passengers    add 8 passengers  minus 2 passengers    add 4 passengers  minus 3 passengers    33

 

There were 40 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 2 marbles to Tom, but won 12 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 58 marbles.
How many marbles did John have at first before the game

Answer: 37


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

John had 37 marbles at first before the game.



7)  

Some passengers boarded the bus at the interchange.
At the first stop, 4 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 41 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 4 passengers  add 5 passengers  less 6 passengers  add 9 passengers  41
 37 passengers    add 4 passengers  minus 5 passengers    add 6 passengers  minus 9 passengers    41

 

There were 37 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 12 marbles from Jerry.
At the end of the second stage, he lost 5 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: 47


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 4 marbles  add 12 marbles  less 5 marbles  add 13 marbles  63
 47 marbles    add 4 marbles  minus 12 marbles    add 5 marbles  minus 13 marbles    63

John had 47 marbles at first before the game.



9)  

Some passengers boarded the bus at the interchange.
At the first stop, 6 passengers alighted and 5 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 36 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 5 passengers  less 4 passengers  add 8 passengers  36
 33 passengers    add 6 passengers  minus 5 passengers    add 4 passengers  minus 8 passengers    36

 

There were 33 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 10 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 17 marbles from Tom.
In the end, John had 61 marbles.
How many marbles did John have at first before the game

Answer: 49


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 10 marbles  less 5 marbles  add 17 marbles  61
 49 marbles    add 10 marbles  minus 10 marbles    add 5 marbles  minus 17 marbles    61

John had 49 marbles at first before the game.