Scroll:Patterns and sequences >> Mixed patterns review >> saq (3496)


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)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,  


Answer:_______________




2)  

 Type the missing numbers in this sequence:

34363840


Answer:_______________




3)  

 Type the next number in this sequence:

2, 3, 6, 11, 18, 27, 38,





 



Answer:_______________




4)  

 Type the missing number in this sequence:

4, 8, 16, 32,


Answer:_______________




5)  

 Type the missing numbers in this sequence:

52545658


Answer:_______________




6)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,  


Answer:_______________




7)  

 Type the missing numbers in this sequence:

42444648


Answer:_______________




8)  

 Type the next number in this sequence:

2, 3, 6, 11, 18, 27, 38,





 



Answer:_______________




9)  

 Type the missing number in this sequence:

2, 4, 8, 16,


Answer:_______________




10)  

 Type the missing numbers in this sequence:

50525456


Answer:_______________




 

1)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,   Answer: 20


SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 

0,0,2,6,12,
           
  + 0 + 2 + 4 + 6  



The amount you add increases by 2 each time. You should add 8 the next time. Add 8 to 12 to find the next number: 

0,0,2,6,12,20
           
  + 0 + 2 + 4 + 6 + 8



The next number is 20.



2)  

 Type the missing numbers in this sequence:

34363840 Answer: 42


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
 34,    36,    38,    40,    __
 
 
To make the pattern complete, the numbers 42 must go in the blank spaces.


3)  

 Type the next number in this sequence:

2, 3, 6, 11, 18, 27, 38,





Answer: 4


 



SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 




2, 3, 6, 11, 18, 27, 38,
                     
    + 1   + 3   + 5   + 7   + 9   + 11    






The amount you add increases by 2 each time. You should add 13 the next time. Add 13 to 38 to find the next number: 




2, 3, 6, 11, 18, 27, 38, 51
                     
    + 1   + 3   + 5   + 7   + 9   + 11   + 13






The next number is 51. 



4)  

 Type the missing number in this sequence:

4, 8, 16, 32, Answer: 64


SOLUTION 1 :

First, look for a pattern. Notice how each number is 2 times the previous number: 

4,    8,    16,    32,    __



Multiply 32 by 2 to find the missing number:

32 × 2 = 64



To make the pattern complete, the number 64 must go in the blank space.



5)  

 Type the missing numbers in this sequence:

Answer: 5052545658 Answer: 60


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
__,    52,    54,    56,    58,    __
 
 
To make the pattern complete, the numbers 50 and 60 must go in the blank spaces.


6)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,   Answer: 20


SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 

0,0,2,6,12,
           
  + 0 + 2 + 4 + 6  



The amount you add increases by 2 each time. You should add 8 the next time. Add 8 to 12 to find the next number: 

0,0,2,6,12,20
           
  + 0 + 2 + 4 + 6 + 8



The next number is 20.



7)  

 Type the missing numbers in this sequence:

42444648 Answer: 50


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
 42,    44,    46,    48,    __
 
 
To make the pattern complete, the numbers 50 must go in the blank spaces.


8)  

 Type the next number in this sequence:

2, 3, 6, 11, 18, 27, 38,





Answer: 3


 



SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 




2, 3, 6, 11, 18, 27, 38,
                     
    + 1   + 3   + 5   + 7   + 9   + 11    






The amount you add increases by 2 each time. You should add 13 the next time. Add 13 to 38 to find the next number: 




2, 3, 6, 11, 18, 27, 38, 51
                     
    + 1   + 3   + 5   + 7   + 9   + 11   + 13






The next number is 51. 



9)  

 Type the missing number in this sequence:

2, 4, 8, 16, Answer: 32


SOLUTION 1 :

First, look for a pattern. Notice how each number is 2 times the previous number: 

2,    4,    8,    16,    __



Multiply 16 by 2 to find the missing number:

16 × 2 = 32



To make the pattern complete, the number 32 must go in the blank space.



10)  

 Type the missing numbers in this sequence:

Answer: 4850525456 Answer: 58


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
__,    50,    52,    54,    56,    __
 
 
To make the pattern complete, the numbers 48 and 58 must go in the blank spaces.