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 5, then subtract 2

 5, 23, 113, 563, 2813,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 1, then add 5

 5, 10, 15, 20, 25,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 3, 10, 38, 150, 598,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 2, then add 5

 4, 13, 31, 67, 139,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 4, 11, 39, 151, 599,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 3, 16, 68, 276, 1108,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 3, 5, 11, 29, 83,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 5, 14, 32, 68, 140,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 3, 12, 57, 282, 1407,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 3, 17, 87, 437, 2187,



Answer:_______________




 

1)  

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



2)  

What is the next number in this pattern

Rule: multiply by 1, then add 5

 5, 10, 15, 20, 25, Answer: 30


SOLUTION 1 :

Rule: multiply by 1, then add 5

Use the rule to find the next number in the pattern. Multiply 25 by 1, then add 5.

(25 × 1) + 5 = 30

The next number in the pattern is 30

The pattern is:

5, 10, 15, 20, 25, 30



3)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 3, 10, 38, 150, 598, Answer: 2390


SOLUTION 1 :

Rule: multiply by 4, then subtract 2

Use the rule to find the next number in the pattern. Multiply 598 by 4, then suubtract 2.

(598 × 4) - 2 = 2390

The next number in the pattern is 2390

The pattern is:

3, 10, 38, 150, 598, 2390



4)  

What is the next number in this pattern

Rule: multiply by 2, then add 5

 4, 13, 31, 67, 139, Answer: 283


SOLUTION 1 :

Rule: multiply by 2, then add 5

Use the rule to find the next number in the pattern. Multiply 139 by 2, then add 5.

(139 × 2) + 5 = 283

The next number in the pattern is 283

The pattern is:

4, 13, 31, 67, 139, 283



5)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 4, 11, 39, 151, 599, Answer: 2391


SOLUTION 1 :

Rule: multiply by 4, then subtract 5

Use the rule to find the next number in the pattern. Multiply 599 by 4, then suubtract 5.

(599 × 4) - 5 = 2391

The next number in the pattern is 2391

The pattern is:

4, 11, 39, 151, 599, 2391



6)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 3, 16, 68, 276, 1108, Answer: 4436


SOLUTION 1 :

Rule: multiply by 4, then add 4

Use the rule to find the next number in the pattern. Multiply 1108 by 4, then add 4.

(1108 × 4) + 4 = 4436

The next number in the pattern is 4436

The pattern is:

3, 16, 68, 276, 1108, 4436



7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 3, 5, 11, 29, 83, Answer: 245


SOLUTION 1 :

Rule: multiply by 3, then subtract 4

Use the rule to find the next number in the pattern. Multiply 83 by 3, then suubtract 4.

(83 × 3) - 4 = 245

The next number in the pattern is 245

The pattern is:

3, 5, 11, 29, 83, 245



8)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 5, 14, 32, 68, 140, Answer: 284


SOLUTION 1 :

Rule: multiply by 2, then add 4

Use the rule to find the next number in the pattern. Multiply 140 by 2, then add 4.

(140 × 2) + 4 = 284

The next number in the pattern is 284

The pattern is:

5, 14, 32, 68, 140, 284



9)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 3, 12, 57, 282, 1407, Answer: 7032


SOLUTION 1 :

Rule: multiply by 5, then subtract 3

Use the rule to find the next number in the pattern. Multiply 1407 by 5, then suubtract 3.

(1407 × 5) - 3 = 7032

The next number in the pattern is 7032

The pattern is:

3, 12, 57, 282, 1407, 7032



10)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 3, 17, 87, 437, 2187, Answer: 10937


SOLUTION 1 :

Rule: multiply by 5, then add 2

Use the rule to find the next number in the pattern. Multiply 2187 by 5, then add 2.

(2187 × 5) + 2 = 10937

The next number in the pattern is 10937

The pattern is:

3, 17, 87, 437, 2187, 10937