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

 4, 17, 82, 407, 2032,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 5, then add 3

 3, 18, 93, 468, 2343,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 2, 2, 2, 2, 2,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 5, 23, 95, 383, 1535,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 3

 5, 27, 159, 951, 5703,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 1, then add 5

 5, 10, 15, 20, 25,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 5

 1, 0, -5, -30, -155,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 5, then add 2

 4, 22, 112, 562, 2812,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 2

 4, 26, 180, 1258, 8804,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 2, then add 4

 5, 14, 32, 68, 140,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 3

 4, 17, 82, 407, 2032, Answer: 10157


SOLUTION 1 :

Rule: multiply by 5, then subtract 3

Use the rule to find the next number in the pattern. Multiply 2032 by 5, then suubtract 3.

(2032 × 5) - 3 = 10157

The next number in the pattern is 10157

The pattern is:

4, 17, 82, 407, 2032, 10157



2)  

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



3)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 2, 2, 2, 2, 2, Answer: 2


SOLUTION 1 :

Rule: multiply by 3, then subtract 4

Use the rule to find the next number in the pattern. Multiply 2 by 3, then suubtract 4.

(2 × 3) - 4 = 2

The next number in the pattern is 2

The pattern is:

2, 2, 2, 2, 2, 2



4)  

What is the next number in this pattern

Rule: multiply by 4, then add 3

 5, 23, 95, 383, 1535, Answer: 6143


SOLUTION 1 :

Rule: multiply by 4, then add 3

Use the rule to find the next number in the pattern. Multiply 1535 by 4, then add 3.

(1535 × 4) + 3 = 6143

The next number in the pattern is 6143

The pattern is:

5, 23, 95, 383, 1535, 6143



5)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 3

 5, 27, 159, 951, 5703, Answer: 34215


SOLUTION 1 :

Rule: multiply by 6, then subtract 3

Use the rule to find the next number in the pattern. Multiply 5703 by 6, then suubtract 3.

(5703 × 6) - 3 = 34215

The next number in the pattern is 34215

The pattern is:

5, 27, 159, 951, 5703, 34215



6)  

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



7)  

What is the next number in this pattern

Rule: multiply by 5, then subtract 5

 1, 0, -5, -30, -155, Answer: -780


SOLUTION 1 :

Rule: multiply by 5, then subtract 5

Use the rule to find the next number in the pattern. Multiply -155 by 5, then suubtract 5.

(-155 × 5) - 5 = -780

The next number in the pattern is -780

The pattern is:

1, 0, -5, -30, -155, -780



8)  

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



9)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 2

 4, 26, 180, 1258, 8804, Answer: 61626


SOLUTION 1 :

Rule: multiply by 7, then subtract 2

Use the rule to find the next number in the pattern. Multiply 8804 by 7, then suubtract 2.

(8804 × 7) - 2 = 61626

The next number in the pattern is 61626

The pattern is:

4, 26, 180, 1258, 8804, 61626



10)  

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