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 subtract 5

 5, 10, 25, 70, 205,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 5, then add 5

 2, 15, 80, 405, 2030,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 3

 3, 15, 87, 519, 3111,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 1, then add 2

 4, 6, 8, 10, 12,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 1, 2, 7, 32, 157,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 2, then add 5

 2, 9, 23, 51, 107,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 3

 5, 17, 65, 257, 1025,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 3, 7, 11, 15, 19,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 4, 11, 39, 151, 599,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 5, then add 3

 4, 23, 118, 593, 2968,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 5, 10, 25, 70, 205, Answer: 610


SOLUTION 1 :

Rule: multiply by 3, then subtract 5

Use the rule to find the next number in the pattern. Multiply 205 by 3, then suubtract 5.

(205 × 3) - 5 = 610

The next number in the pattern is 610

The pattern is:

5, 10, 25, 70, 205, 610



2)  

What is the next number in this pattern

Rule: multiply by 5, then add 5

 2, 15, 80, 405, 2030, Answer: 10155


SOLUTION 1 :

Rule: multiply by 5, then add 5

Use the rule to find the next number in the pattern. Multiply 2030 by 5, then add 5.

(2030 × 5) + 5 = 10155

The next number in the pattern is 10155

The pattern is:

2, 15, 80, 405, 2030, 10155



3)  

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



4)  

What is the next number in this pattern

Rule: multiply by 1, then add 2

 4, 6, 8, 10, 12, Answer: 14


SOLUTION 1 :

Rule: multiply by 1, then add 2

Use the rule to find the next number in the pattern. Multiply 12 by 1, then add 2.

(12 × 1) + 2 = 14

The next number in the pattern is 14

The pattern is:

4, 6, 8, 10, 12, 14



5)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 1, 2, 7, 32, 157, Answer: 782


SOLUTION 1 :

Rule: multiply by 5, then subtract 3

Use the rule to find the next number in the pattern. Multiply 157 by 5, then suubtract 3.

(157 × 5) - 3 = 782

The next number in the pattern is 782

The pattern is:

1, 2, 7, 32, 157, 782



6)  

What is the next number in this pattern

Rule: multiply by 2, then add 5

 2, 9, 23, 51, 107, Answer: 219


SOLUTION 1 :

Rule: multiply by 2, then add 5

Use the rule to find the next number in the pattern. Multiply 107 by 2, then add 5.

(107 × 2) + 5 = 219

The next number in the pattern is 219

The pattern is:

2, 9, 23, 51, 107, 219



7)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 3

 5, 17, 65, 257, 1025, Answer: 4097


SOLUTION 1 :

Rule: multiply by 4, then subtract 3

Use the rule to find the next number in the pattern. Multiply 1025 by 4, then suubtract 3.

(1025 × 4) - 3 = 4097

The next number in the pattern is 4097

The pattern is:

5, 17, 65, 257, 1025, 4097



8)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 3, 7, 11, 15, 19, Answer: 23


SOLUTION 1 :

Rule: multiply by 1, then add 4

Use the rule to find the next number in the pattern. Multiply 19 by 1, then add 4.

(19 × 1) + 4 = 23

The next number in the pattern is 23

The pattern is:

3, 7, 11, 15, 19, 23



9)  

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



10)  

What is the next number in this pattern

Rule: multiply by 5, then add 3

 4, 23, 118, 593, 2968, Answer: 14843


SOLUTION 1 :

Rule: multiply by 5, then add 3

Use the rule to find the next number in the pattern. Multiply 2968 by 5, then add 3.

(2968 × 5) + 3 = 14843

The next number in the pattern is 14843

The pattern is:

4, 23, 118, 593, 2968, 14843