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 5 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 23 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 9 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 61 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 6 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 3 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:_______________




4)  

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 4 marbles to Jerry but gained 15 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, 4 passengers alighted and 8 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 3 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:_______________




6)  

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 15 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 55 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, 6 passengers alighted and 10 passengers boarded the bus.
At the second stop, 7 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 47 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 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 11 marbles from Tom.
In the end, John had 60 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, 3 passengers alighted and 2 passengers boarded the bus.
At the second stop, 8 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 38 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 3 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 57 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 5 passengers boarded the bus.
At the second stop, 4 passengers alighted and another 6 passengers boarded the bus.
In the end, there were 23 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 5 passengers  add 5 passengers  less 4 passengers  add 6 passengers  23
 21 passengers    add 5 passengers  minus 5 passengers    add 4 passengers  minus 6 passengers    23

 

There were 21 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 9 marbles to Tom, but won 11 marbles from Jerry.
At the end of the second stage, he lost 3 marbles to Jerry but gained 10 marbles from Tom.
In the end, John had 61 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 9 marbles  add 11 marbles  less 3 marbles  add 10 marbles  61
 52 marbles    add 9 marbles  minus 11 marbles    add 3 marbles  minus 10 marbles    61

John had 52 marbles at first before the game.



3)  

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, 7 passengers alighted and another 3 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: 31


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 9 passengers  add 6 passengers  less 7 passengers  add 3 passengers  24
 31 passengers    add 9 passengers  minus 6 passengers    add 7 passengers  minus 3 passengers    24

 

There were 31 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 2 marbles to Tom, but won 12 marbles from Jerry.
At the end of the second stage, he lost 4 marbles to Jerry but gained 15 marbles from Tom.
In the end, John had 72 marbles.
How many marbles did John have at first before the game

Answer: 51


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 2 marbles  add 12 marbles  less 4 marbles  add 15 marbles  72
 51 marbles    add 2 marbles  minus 12 marbles    add 4 marbles  minus 15 marbles    72

John had 51 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 4 passengers alighted and 8 passengers boarded the bus.
At the second stop, 6 passengers alighted and another 3 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: 42


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 4 passengers  add 8 passengers  less 6 passengers  add 3 passengers  43
 42 passengers    add 4 passengers  minus 8 passengers    add 6 passengers  minus 3 passengers    43

 

There were 42 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 9 marbles to Tom, but won 15 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 18 marbles from Tom.
In the end, John had 55 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 9 marbles  add 15 marbles  less 8 marbles  add 18 marbles  55
 39 marbles    add 9 marbles  minus 15 marbles    add 8 marbles  minus 18 marbles    55

John had 39 marbles at first before the game.



7)  

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, 7 passengers alighted and another 5 passengers boarded the bus.
In the end, there were 47 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 6 passengers  add 10 passengers  less 7 passengers  add 5 passengers  47
 45 passengers    add 6 passengers  minus 10 passengers    add 7 passengers  minus 5 passengers    47

 

There were 45 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 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 11 marbles from Tom.
In the end, John had 60 marbles.
How many marbles did John have at first before the game

Answer: 51


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 10 marbles  add 13 marbles  less 5 marbles  add 11 marbles  60
 51 marbles    add 10 marbles  minus 13 marbles    add 5 marbles  minus 11 marbles    60

John had 51 marbles at first before the game.



9)  

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, 8 passengers alighted and another 2 passengers boarded the bus.
In the end, there were 38 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 3 passengers  add 2 passengers  less 8 passengers  add 2 passengers  38
 45 passengers    add 3 passengers  minus 2 passengers    add 8 passengers  minus 2 passengers    38

 

There were 45 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 3 marbles to Tom, but won 13 marbles from Jerry.
At the end of the second stage, he lost 8 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 57 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 3 marbles  add 13 marbles  less 8 marbles  add 16 marbles  57
 39 marbles    add 3 marbles  minus 13 marbles    add 8 marbles  minus 16 marbles    57

John had 39 marbles at first before the game.