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:

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





 



Answer:_______________




2)  

 Type the missing numbers in this sequence:

40424446


Answer:_______________




3)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,  


Answer:_______________




4)  

 Type the missing numbers in this sequence:

38404244


Answer:_______________




5)  

 Type the missing number in this sequence:

4, 8, 16, 32,


Answer:_______________




6)  

 Type the next number in this sequence:

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





 



Answer:_______________




7)  

 Type the missing numbers in this sequence:

56586062


Answer:_______________




8)  

 Type the next number in this sequence:

0,    0,    2,    6,    12,  


Answer:_______________




9)  

 Type the missing numbers in this sequence:

34363840


Answer:_______________




10)  

 Type the missing number in this sequence:

3, 6, 12, 24,


Answer:_______________




 

1)  

 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. 



2)  

 Type the missing numbers in this sequence:

Answer: 3840424446 Answer: 48


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
__,    40,    42,    44,    46,    __
 
 
To make the pattern complete, the numbers 38 and 48 must go in the blank spaces.


3)  

 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.



4)  

 Type the missing numbers in this sequence:

38404244 Answer: 46


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
 38,    40,    42,    44,    __
 
 
To make the pattern complete, the numbers 46 must go in the blank spaces.


5)  

 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.



6)  

 Type the next number in this sequence:

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





Answer: 1


 



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. 



7)  

 Type the missing numbers in this sequence:

Answer: 5456586062 Answer: 64


SOLUTION 1 :
First, look for a pattern. Notice how each number is 2 less than the previous number:
 
__,    56,    58,    60,    62,    __
 
 
To make the pattern complete, the numbers 54 and 64 must go in the blank spaces.


8)  

 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.



9)  

 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.


10)  

 Type the missing number in this sequence:

3, 6, 12, 24, Answer: 48


SOLUTION 1 :

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

3,    6,    12,    24,    __



Multiply 24 by 2 to find the missing number:

24 × 2 = 48



To make the pattern complete, the number 48 must go in the blank space.