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 3

 4, 15, 48, 147, 444,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 2, 7, 32, 157, 782,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 2, 11, 47, 191, 767,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 4, 19, 109, 649, 3889,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 1, then add 5

 5, 10, 15, 20, 25,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 2

 1, 5, 33, 229, 1601,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 1, then add 3

 5, 8, 11, 14, 17,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 5, 28, 166, 994, 5962,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 2, 8, 26, 80, 242,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 3, 10, 38, 150, 598,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 3, then add 3

 4, 15, 48, 147, 444, Answer: 1335


SOLUTION 1 :

Rule: multiply by 3, then add 3

Use the rule to find the next number in the pattern. Multiply 444 by 3, then add 3.

(444 × 3) + 3 = 1335

The next number in the pattern is 1335

The pattern is:

4, 15, 48, 147, 444, 1335



2)  

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



3)  

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



4)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 4, 19, 109, 649, 3889, Answer: 23329


SOLUTION 1 :

Rule: multiply by 6, then subtract 5

Use the rule to find the next number in the pattern. Multiply 3889 by 6, then suubtract 5.

(3889 × 6) - 5 = 23329

The next number in the pattern is 23329

The pattern is:

4, 19, 109, 649, 3889, 23329



5)  

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



6)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 2

 1, 5, 33, 229, 1601, Answer: 11205


SOLUTION 1 :

Rule: multiply by 7, then subtract 2

Use the rule to find the next number in the pattern. Multiply 1601 by 7, then suubtract 2.

(1601 × 7) - 2 = 11205

The next number in the pattern is 11205

The pattern is:

1, 5, 33, 229, 1601, 11205



7)  

What is the next number in this pattern

Rule: multiply by 1, then add 3

 5, 8, 11, 14, 17, Answer: 20


SOLUTION 1 :

Rule: multiply by 1, then add 3

Use the rule to find the next number in the pattern. Multiply 17 by 1, then add 3.

(17 × 1) + 3 = 20

The next number in the pattern is 20

The pattern is:

5, 8, 11, 14, 17, 20



8)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 5, 28, 166, 994, 5962, Answer: 35770


SOLUTION 1 :

Rule: multiply by 6, then subtract 2

Use the rule to find the next number in the pattern. Multiply 5962 by 6, then suubtract 2.

(5962 × 6) - 2 = 35770

The next number in the pattern is 35770

The pattern is:

5, 28, 166, 994, 5962, 35770



9)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 2, 8, 26, 80, 242, Answer: 728


SOLUTION 1 :

Rule: multiply by 3, then add 2

Use the rule to find the next number in the pattern. Multiply 242 by 3, then add 2.

(242 × 3) + 2 = 728

The next number in the pattern is 728

The pattern is:

2, 8, 26, 80, 242, 728



10)  

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