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 6 passengers boarded the bus.
At the second stop, 8 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 22 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 18 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 55 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, 4 passengers alighted and 9 passengers boarded the bus.
At the second stop, 5 passengers alighted and another 4 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:_______________




4)  

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 10 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 67 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, 9 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 41 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 10 marbles from Jerry.
At the end of the second stage, he lost 6 marbles to Jerry but gained 16 marbles from Tom.
In the end, John had 74 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, 8 passengers alighted and 6 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 2 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:_______________




8)  

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 3 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 75 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 2 passengers boarded the bus.
At the second stop, 3 passengers alighted and another 6 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:_______________




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 2 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, 5 passengers alighted and 6 passengers boarded the bus.
At the second stop, 8 passengers alighted and another 8 passengers boarded the bus.
In the end, there were 22 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 6 passengers  less 8 passengers  add 8 passengers  22
 21 passengers    add 5 passengers  minus 6 passengers    add 8 passengers  minus 8 passengers    22

 

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 6 marbles to Tom, but won 18 marbles from Jerry.
At the end of the second stage, he lost 5 marbles to Jerry but gained 12 marbles from Tom.
In the end, John had 55 marbles.
How many marbles did John have at first before the game

Answer: 36


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 18 marbles  less 5 marbles  add 12 marbles  55
 36 marbles    add 6 marbles  minus 18 marbles    add 5 marbles  minus 12 marbles    55

John had 36 marbles at first before the game.



3)  

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, 5 passengers alighted and another 4 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: 41


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 4 passengers  add 9 passengers  less 5 passengers  add 4 passengers  45
 41 passengers    add 4 passengers  minus 9 passengers    add 5 passengers  minus 4 passengers    45

 

There were 41 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 6 marbles to Tom, but won 10 marbles from Jerry.
At the end of the second stage, he lost 2 marbles to Jerry but gained 11 marbles from Tom.
In the end, John had 67 marbles.
How many marbles did John have at first before the game

Answer: 54


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 6 marbles  add 10 marbles  less 2 marbles  add 11 marbles  67
 54 marbles    add 6 marbles  minus 10 marbles    add 2 marbles  minus 11 marbles    67

John had 54 marbles at first before the game.



5)  

Some passengers boarded the bus at the interchange.
At the first stop, 9 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 41 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 9 passengers  add 10 passengers  less 3 passengers  add 9 passengers  41
 34 passengers    add 9 passengers  minus 10 passengers    add 3 passengers  minus 9 passengers    41

 

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 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 16 marbles from Tom.
In the end, John had 74 marbles.
How many marbles did John have at first before the game

Answer: 63


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 9 marbles  add 10 marbles  less 6 marbles  add 16 marbles  74
 63 marbles    add 9 marbles  minus 10 marbles    add 6 marbles  minus 16 marbles    74

John had 63 marbles at first before the game.



7)  

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, 3 passengers alighted and another 2 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 8 passengers  add 6 passengers  less 3 passengers  add 2 passengers  31
 34 passengers    add 8 passengers  minus 6 passengers    add 3 passengers  minus 2 passengers    31

 

There were 34 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 3 marbles to Tom, but won 13 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 75 marbles.
How many marbles did John have at first before the game

Answer: 56


SOLUTION 1 :
     1st stage  1st stage    2nd stage  2nd stage    
Some marbles    less 3 marbles  add 13 marbles  less 3 marbles  add 12 marbles  75
 56 marbles    add 3 marbles  minus 13 marbles    add 3 marbles  minus 12 marbles    75

John had 56 marbles at first before the game.



9)  

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, 3 passengers alighted and another 6 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: 34


SOLUTION 1 :
     1st stop  1st stop    2nd stop  2nd stop    
Some passengers    less 6 passengers  add 2 passengers  less 3 passengers  add 6 passengers  33
 34 passengers    add 6 passengers  minus 2 passengers    add 3 passengers  minus 6 passengers    33

 

There were 34 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 2 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: 40


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

John had 40 marbles at first before the game.