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 3, then add 4

 3, 13, 43, 133, 403,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 2, 1, -2, -11, -38,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 3, 11, 35, 107, 323,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 5

 2, 5, 20, 95, 470,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 5, then add 3

 2, 13, 68, 343, 1718,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 4, 22, 130, 778, 4666,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 2, 12, 52, 212, 852,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 5, 23, 113, 563, 2813,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 3, 19, 99, 499, 2499,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 2, 7, 32, 157, 782,



Answer:_______________




 

1)  

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



2)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 2, 1, -2, -11, -38, Answer: -119


SOLUTION 1 :

Rule: multiply by 3, then subtract 5

Use the rule to find the next number in the pattern. Multiply -38 by 3, then suubtract 5.

(-38 × 3) - 5 = -119

The next number in the pattern is -119

The pattern is:

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



3)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 3, 11, 35, 107, 323, Answer: 971


SOLUTION 1 :

Rule: multiply by 3, then add 2

Use the rule to find the next number in the pattern. Multiply 323 by 3, then add 2.

(323 × 3) + 2 = 971

The next number in the pattern is 971

The pattern is:

3, 11, 35, 107, 323, 971



4)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 5

 2, 5, 20, 95, 470, Answer: 2345


SOLUTION 1 :

Rule: multiply by 5, then subtract 5

Use the rule to find the next number in the pattern. Multiply 470 by 5, then suubtract 5.

(470 × 5) - 5 = 2345

The next number in the pattern is 2345

The pattern is:

2, 5, 20, 95, 470, 2345



5)  

What is the next number in this pattern

Rule: multiply by 5, then add 3

 2, 13, 68, 343, 1718, Answer: 8593


SOLUTION 1 :

Rule: multiply by 5, then add 3

Use the rule to find the next number in the pattern. Multiply 1718 by 5, then add 3.

(1718 × 5) + 3 = 8593

The next number in the pattern is 8593

The pattern is:

2, 13, 68, 343, 1718, 8593



6)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 4, 22, 130, 778, 4666, Answer: 27994


SOLUTION 1 :

Rule: multiply by 6, then subtract 2

Use the rule to find the next number in the pattern. Multiply 4666 by 6, then suubtract 2.

(4666 × 6) - 2 = 27994

The next number in the pattern is 27994

The pattern is:

4, 22, 130, 778, 4666, 27994



7)  

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



8)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 5, 23, 113, 563, 2813, Answer: 14063


SOLUTION 1 :

Rule: multiply by 5, then subtract 2

Use the rule to find the next number in the pattern. Multiply 2813 by 5, then suubtract 2.

(2813 × 5) - 2 = 14063

The next number in the pattern is 14063

The pattern is:

5, 23, 113, 563, 2813, 14063



9)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 3, 19, 99, 499, 2499, Answer: 12499


SOLUTION 1 :

Rule: multiply by 5, then add 4

Use the rule to find the next number in the pattern. Multiply 2499 by 5, then add 4.

(2499 × 5) + 4 = 12499

The next number in the pattern is 12499

The pattern is:

3, 19, 99, 499, 2499, 12499



10)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 2, 7, 32, 157, 782, Answer: 3907


SOLUTION 1 :

Rule: multiply by 5, then subtract 3

Use the rule to find the next number in the pattern. Multiply 782 by 5, then suubtract 3.

(782 × 5) - 3 = 3907

The next number in the pattern is 3907

The pattern is:

2, 7, 32, 157, 782, 3907