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 3

 3, 6, 15, 42, 123,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 3, 10, 24, 52, 108,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 1, 2, 7, 32, 157,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 2, 14, 74, 374, 1874,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 2, 3, 7, 23, 87,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 4, 22, 112, 562, 2812,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 5, 23, 113, 563, 2813,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 4, 20, 84, 340, 1364,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 4

 2, 10, 66, 458, 3202,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 3, 15, 63, 255, 1023,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 3

 3, 6, 15, 42, 123, Answer: 366


SOLUTION 1 :

Rule: multiply by 3, then subtract 3

Use the rule to find the next number in the pattern. Multiply 123 by 3, then suubtract 3.

(123 × 3) - 3 = 366

The next number in the pattern is 366

The pattern is:

3, 6, 15, 42, 123, 366



2)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 3, 10, 24, 52, 108, Answer: 220


SOLUTION 1 :

Rule: multiply by 2, then add 4

Use the rule to find the next number in the pattern. Multiply 108 by 2, then add 4.

(108 × 2) + 4 = 220

The next number in the pattern is 220

The pattern is:

3, 10, 24, 52, 108, 220



3)  

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



4)  

What is the next number in this pattern

Rule: multiply by 5, then add 4

 2, 14, 74, 374, 1874, Answer: 9374


SOLUTION 1 :

Rule: multiply by 5, then add 4

Use the rule to find the next number in the pattern. Multiply 1874 by 5, then add 4.

(1874 × 5) + 4 = 9374

The next number in the pattern is 9374

The pattern is:

2, 14, 74, 374, 1874, 9374



5)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 5

 2, 3, 7, 23, 87, Answer: 343


SOLUTION 1 :

Rule: multiply by 4, then subtract 5

Use the rule to find the next number in the pattern. Multiply 87 by 4, then suubtract 5.

(87 × 4) - 5 = 343

The next number in the pattern is 343

The pattern is:

2, 3, 7, 23, 87, 343



6)  

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



7)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 2

 5, 23, 113, 563, 2813, Answer: 14063


SOLUTION 1 :

Rule: multiply by 5, then subtract 2

Use the rule to find the next number in the pattern. Multiply 2813 by 5, then suubtract 2.

(2813 × 5) - 2 = 14063

The next number in the pattern is 14063

The pattern is:

5, 23, 113, 563, 2813, 14063



8)  

What is the next number in this pattern

Rule: multiply by 4, then add 4

 4, 20, 84, 340, 1364, Answer: 5460


SOLUTION 1 :

Rule: multiply by 4, then add 4

Use the rule to find the next number in the pattern. Multiply 1364 by 4, then add 4.

(1364 × 4) + 4 = 5460

The next number in the pattern is 5460

The pattern is:

4, 20, 84, 340, 1364, 5460



9)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 4

 2, 10, 66, 458, 3202, Answer: 22410


SOLUTION 1 :

Rule: multiply by 7, then subtract 4

Use the rule to find the next number in the pattern. Multiply 3202 by 7, then suubtract 4.

(3202 × 7) - 4 = 22410

The next number in the pattern is 22410

The pattern is:

2, 10, 66, 458, 3202, 22410



10)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 3, 15, 63, 255, 1023, Answer: 4095


SOLUTION 1 :

Rule: multiply by 4, then add 3

Use the rule to find the next number in the pattern. Multiply 1023 by 4, then add 3.

(1023 × 4) + 3 = 4095

The next number in the pattern is 4095

The pattern is:

3, 15, 63, 255, 1023, 4095