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 3

 4, 17, 82, 407, 2032,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 5, 9, 13, 17, 21,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 3, 13, 63, 313, 1563,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 4, 22, 112, 562, 2812,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 5, 11, 29, 83, 245,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 1, then add 3

 3, 6, 9, 12, 15,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 3

 3, 15, 87, 519, 3111,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 4, 12, 28, 60, 124,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 4

 5, 16, 60, 236, 940,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 4, then add 2

 2, 10, 42, 170, 682,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 4, 17, 82, 407, 2032, Answer: 10157


SOLUTION 1 :

Rule: multiply by 5, then subtract 3

Use the rule to find the next number in the pattern. Multiply 2032 by 5, then suubtract 3.

(2032 × 5) - 3 = 10157

The next number in the pattern is 10157

The pattern is:

4, 17, 82, 407, 2032, 10157



2)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 5, 9, 13, 17, 21, Answer: 25


SOLUTION 1 :

Rule: multiply by 1, then add 4

Use the rule to find the next number in the pattern. Multiply 21 by 1, then add 4.

(21 × 1) + 4 = 25

The next number in the pattern is 25

The pattern is:

5, 9, 13, 17, 21, 25



3)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 3, 13, 63, 313, 1563, Answer: 7813


SOLUTION 1 :

Rule: multiply by 5, then subtract 2

Use the rule to find the next number in the pattern. Multiply 1563 by 5, then suubtract 2.

(1563 × 5) - 2 = 7813

The next number in the pattern is 7813

The pattern is:

3, 13, 63, 313, 1563, 7813



4)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 4, 22, 112, 562, 2812, Answer: 14062


SOLUTION 1 :

Rule: multiply by 5, then add 2

Use the rule to find the next number in the pattern. Multiply 2812 by 5, then add 2.

(2812 × 5) + 2 = 14062

The next number in the pattern is 14062

The pattern is:

4, 22, 112, 562, 2812, 14062



5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 5, 11, 29, 83, 245, Answer: 731


SOLUTION 1 :

Rule: multiply by 3, then subtract 4

Use the rule to find the next number in the pattern. Multiply 245 by 3, then suubtract 4.

(245 × 3) - 4 = 731

The next number in the pattern is 731

The pattern is:

5, 11, 29, 83, 245, 731



6)  

What is the next number in this pattern

Rule: multiply by 1, then add 3

 3, 6, 9, 12, 15, Answer: 18


SOLUTION 1 :

Rule: multiply by 1, then add 3

Use the rule to find the next number in the pattern. Multiply 15 by 1, then add 3.

(15 × 1) + 3 = 18

The next number in the pattern is 18

The pattern is:

3, 6, 9, 12, 15, 18



7)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 3

 3, 15, 87, 519, 3111, Answer: 18663


SOLUTION 1 :

Rule: multiply by 6, then subtract 3

Use the rule to find the next number in the pattern. Multiply 3111 by 6, then suubtract 3.

(3111 × 6) - 3 = 18663

The next number in the pattern is 18663

The pattern is:

3, 15, 87, 519, 3111, 18663



8)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 4, 12, 28, 60, 124, Answer: 252


SOLUTION 1 :

Rule: multiply by 2, then add 4

Use the rule to find the next number in the pattern. Multiply 124 by 2, then add 4.

(124 × 2) + 4 = 252

The next number in the pattern is 252

The pattern is:

4, 12, 28, 60, 124, 252



9)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 4

 5, 16, 60, 236, 940, Answer: 3756


SOLUTION 1 :

Rule: multiply by 4, then subtract 4

Use the rule to find the next number in the pattern. Multiply 940 by 4, then suubtract 4.

(940 × 4) - 4 = 3756

The next number in the pattern is 3756

The pattern is:

5, 16, 60, 236, 940, 3756



10)  

What is the next number in this pattern

Rule: multiply by 4, then add 2

 2, 10, 42, 170, 682, Answer: 2730


SOLUTION 1 :

Rule: multiply by 4, then add 2

Use the rule to find the next number in the pattern. Multiply 682 by 4, then add 2.

(682 × 4) + 2 = 2730

The next number in the pattern is 2730

The pattern is:

2, 10, 42, 170, 682, 2730