Scroll:Patterns and sequences >> Patterns involving addition and multiplication >> saq (3611)


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)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 2, 11, 47, 191, 767,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 4

 5, 31, 213, 1487, 10405,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 2, 12, 52, 212, 852,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 4

 4, 16, 76, 376, 1876,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 3, 13, 43, 133, 403,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 2, 3, 7, 23, 87,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 2, 11, 38, 119, 362,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 5, 25, 145, 865, 5185,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 5, 20, 65, 200, 605,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 1, -2, -11, -38, -119,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 2, 11, 47, 191, 767, Answer: 3071


SOLUTION 1 :

Rule: multiply by 4, then add 3

Use the rule to find the next number in the pattern. Multiply 767 by 4, then add 3.

(767 × 4) + 3 = 3071

The next number in the pattern is 3071

The pattern is:

2, 11, 47, 191, 767, 3071



2)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 4

 5, 31, 213, 1487, 10405, Answer: 72831


SOLUTION 1 :

Rule: multiply by 7, then subtract 4

Use the rule to find the next number in the pattern. Multiply 10405 by 7, then suubtract 4.

(10405 × 7) - 4 = 72831

The next number in the pattern is 72831

The pattern is:

5, 31, 213, 1487, 10405, 72831



3)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 2, 12, 52, 212, 852, Answer: 3412


SOLUTION 1 :

Rule: multiply by 4, then add 4

Use the rule to find the next number in the pattern. Multiply 852 by 4, then add 4.

(852 × 4) + 4 = 3412

The next number in the pattern is 3412

The pattern is:

2, 12, 52, 212, 852, 3412



4)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 4

 4, 16, 76, 376, 1876, Answer: 9376


SOLUTION 1 :

Rule: multiply by 5, then subtract 4

Use the rule to find the next number in the pattern. Multiply 1876 by 5, then suubtract 4.

(1876 × 5) - 4 = 9376

The next number in the pattern is 9376

The pattern is:

4, 16, 76, 376, 1876, 9376



5)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 3, 13, 43, 133, 403, Answer: 1213


SOLUTION 1 :

Rule: multiply by 3, then add 4

Use the rule to find the next number in the pattern. Multiply 403 by 3, then add 4.

(403 × 3) + 4 = 1213

The next number in the pattern is 1213

The pattern is:

3, 13, 43, 133, 403, 1213



6)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 2, 3, 7, 23, 87, Answer: 343


SOLUTION 1 :

Rule: multiply by 4, then subtract 5

Use the rule to find the next number in the pattern. Multiply 87 by 4, then suubtract 5.

(87 × 4) - 5 = 343

The next number in the pattern is 343

The pattern is:

2, 3, 7, 23, 87, 343



7)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 2, 11, 38, 119, 362, Answer: 1091


SOLUTION 1 :

Rule: multiply by 3, then add 5

Use the rule to find the next number in the pattern. Multiply 362 by 3, then add 5.

(362 × 3) + 5 = 1091

The next number in the pattern is 1091

The pattern is:

2, 11, 38, 119, 362, 1091



8)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 5, 25, 145, 865, 5185, Answer: 31105


SOLUTION 1 :

Rule: multiply by 6, then subtract 5

Use the rule to find the next number in the pattern. Multiply 5185 by 6, then suubtract 5.

(5185 × 6) - 5 = 31105

The next number in the pattern is 31105

The pattern is:

5, 25, 145, 865, 5185, 31105



9)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 5, 20, 65, 200, 605, Answer: 1820


SOLUTION 1 :

Rule: multiply by 3, then add 5

Use the rule to find the next number in the pattern. Multiply 605 by 3, then add 5.

(605 × 3) + 5 = 1820

The next number in the pattern is 1820

The pattern is:

5, 20, 65, 200, 605, 1820



10)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 1, -2, -11, -38, -119, Answer: -362


SOLUTION 1 :

Rule: multiply by 3, then subtract 5

Use the rule to find the next number in the pattern. Multiply -119 by 3, then suubtract 5.

(-119 × 3) - 5 = -362

The next number in the pattern is -362

The pattern is:

1, -2, -11, -38, -119, -362