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

 2, 7, 32, 157, 782,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 2, 10, 34, 106, 322,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 1, 3, 13, 63, 313,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 2, then add 3

 5, 13, 29, 61, 125,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 2

 4, 10, 28, 82, 244,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 4, 24, 124, 624, 3124,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 1, -2, -11, -38, -119,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 1, then add 2

 5, 7, 9, 11, 13,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 4

 4, 20, 116, 692, 4148,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 2, 11, 38, 119, 362,



Answer:_______________




 

1)  

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



2)  

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



3)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 1, 3, 13, 63, 313, Answer: 1563


SOLUTION 1 :

Rule: multiply by 5, then subtract 2

Use the rule to find the next number in the pattern. Multiply 313 by 5, then suubtract 2.

(313 × 5) - 2 = 1563

The next number in the pattern is 1563

The pattern is:

1, 3, 13, 63, 313, 1563



4)  

What is the next number in this pattern

Rule: multiply by 2, then add 3

 5, 13, 29, 61, 125, Answer: 253


SOLUTION 1 :

Rule: multiply by 2, then add 3

Use the rule to find the next number in the pattern. Multiply 125 by 2, then add 3.

(125 × 2) + 3 = 253

The next number in the pattern is 253

The pattern is:

5, 13, 29, 61, 125, 253



5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 2

 4, 10, 28, 82, 244, Answer: 730


SOLUTION 1 :

Rule: multiply by 3, then subtract 2

Use the rule to find the next number in the pattern. Multiply 244 by 3, then suubtract 2.

(244 × 3) - 2 = 730

The next number in the pattern is 730

The pattern is:

4, 10, 28, 82, 244, 730



6)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 4, 24, 124, 624, 3124, Answer: 15624


SOLUTION 1 :

Rule: multiply by 5, then add 4

Use the rule to find the next number in the pattern. Multiply 3124 by 5, then add 4.

(3124 × 5) + 4 = 15624

The next number in the pattern is 15624

The pattern is:

4, 24, 124, 624, 3124, 15624



7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 5

 1, -2, -11, -38, -119, Answer: -362


SOLUTION 1 :

Rule: multiply by 3, then subtract 5

Use the rule to find the next number in the pattern. Multiply -119 by 3, then suubtract 5.

(-119 × 3) - 5 = -362

The next number in the pattern is -362

The pattern is:

1, -2, -11, -38, -119, -362



8)  

What is the next number in this pattern

Rule: multiply by 1, then add 2

 5, 7, 9, 11, 13, Answer: 15


SOLUTION 1 :

Rule: multiply by 1, then add 2

Use the rule to find the next number in the pattern. Multiply 13 by 1, then add 2.

(13 × 1) + 2 = 15

The next number in the pattern is 15

The pattern is:

5, 7, 9, 11, 13, 15



9)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 4

 4, 20, 116, 692, 4148, Answer: 24884


SOLUTION 1 :

Rule: multiply by 6, then subtract 4

Use the rule to find the next number in the pattern. Multiply 4148 by 6, then suubtract 4.

(4148 × 6) - 4 = 24884

The next number in the pattern is 24884

The pattern is:

4, 20, 116, 692, 4148, 24884



10)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 2, 11, 38, 119, 362, Answer: 1091


SOLUTION 1 :

Rule: multiply by 3, then add 5

Use the rule to find the next number in the pattern. Multiply 362 by 3, then add 5.

(362 × 3) + 5 = 1091

The next number in the pattern is 1091

The pattern is:

2, 11, 38, 119, 362, 1091