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 2, then add 4

 5, 14, 32, 68, 140,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 4

 2, 6, 26, 126, 626,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 2, 12, 62, 312, 1562,



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 2, then add 5

 4, 13, 31, 67, 139,



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 5, then add 3

 3, 18, 93, 468, 2343,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 3, 12, 57, 282, 1407,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 2, 10, 34, 106, 322,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 2, 10, 58, 346, 2074,



Answer:_______________




 

1)  

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



2)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 4

 2, 6, 26, 126, 626, Answer: 3126


SOLUTION 1 :

Rule: multiply by 5, then subtract 4

Use the rule to find the next number in the pattern. Multiply 626 by 5, then suubtract 4.

(626 × 5) - 4 = 3126

The next number in the pattern is 3126

The pattern is:

2, 6, 26, 126, 626, 3126



3)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 2, 12, 62, 312, 1562, Answer: 7812


SOLUTION 1 :

Rule: multiply by 5, then add 2

Use the rule to find the next number in the pattern. Multiply 1562 by 5, then add 2.

(1562 × 5) + 2 = 7812

The next number in the pattern is 7812

The pattern is:

2, 12, 62, 312, 1562, 7812



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 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



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 5, then add 3

 3, 18, 93, 468, 2343, Answer: 11718


SOLUTION 1 :

Rule: multiply by 5, then add 3

Use the rule to find the next number in the pattern. Multiply 2343 by 5, then add 3.

(2343 × 5) + 3 = 11718

The next number in the pattern is 11718

The pattern is:

3, 18, 93, 468, 2343, 11718



8)  

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



9)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 2, 10, 34, 106, 322, Answer: 970


SOLUTION 1 :

Rule: multiply by 3, then add 4

Use the rule to find the next number in the pattern. Multiply 322 by 3, then add 4.

(322 × 3) + 4 = 970

The next number in the pattern is 970

The pattern is:

2, 10, 34, 106, 322, 970



10)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 2

 2, 10, 58, 346, 2074, Answer: 12442


SOLUTION 1 :

Rule: multiply by 6, then subtract 2

Use the rule to find the next number in the pattern. Multiply 2074 by 6, then suubtract 2.

(2074 × 6) - 2 = 12442

The next number in the pattern is 12442

The pattern is:

2, 10, 58, 346, 2074, 12442