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 4

 5, 21, 101, 501, 2501,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 3, 14, 47, 146, 443,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 3

 2, 3, 6, 15, 42,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 2, then add 2

 2, 6, 14, 30, 62,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 3, 5, 11, 29, 83,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 3, 7, 11, 15, 19,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 3

 5, 12, 33, 96, 285,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 2, 10, 34, 106, 322,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 5, 25, 145, 865, 5185,



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 5, then subtract 4

 5, 21, 101, 501, 2501, Answer: 12501


SOLUTION 1 :

Rule: multiply by 5, then subtract 4

Use the rule to find the next number in the pattern. Multiply 2501 by 5, then suubtract 4.

(2501 × 5) - 4 = 12501

The next number in the pattern is 12501

The pattern is:

5, 21, 101, 501, 2501, 12501



2)  

What is the next number in this pattern

Rule: multiply by 3, then add 5

 3, 14, 47, 146, 443, Answer: 1334


SOLUTION 1 :

Rule: multiply by 3, then add 5

Use the rule to find the next number in the pattern. Multiply 443 by 3, then add 5.

(443 × 3) + 5 = 1334

The next number in the pattern is 1334

The pattern is:

3, 14, 47, 146, 443, 1334



3)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 3

 2, 3, 6, 15, 42, Answer: 123


SOLUTION 1 :

Rule: multiply by 3, then subtract 3

Use the rule to find the next number in the pattern. Multiply 42 by 3, then suubtract 3.

(42 × 3) - 3 = 123

The next number in the pattern is 123

The pattern is:

2, 3, 6, 15, 42, 123



4)  

What is the next number in this pattern

Rule: multiply by 2, then add 2

 2, 6, 14, 30, 62, Answer: 126


SOLUTION 1 :

Rule: multiply by 2, then add 2

Use the rule to find the next number in the pattern. Multiply 62 by 2, then add 2.

(62 × 2) + 2 = 126

The next number in the pattern is 126

The pattern is:

2, 6, 14, 30, 62, 126



5)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 4

 3, 5, 11, 29, 83, Answer: 245


SOLUTION 1 :

Rule: multiply by 3, then subtract 4

Use the rule to find the next number in the pattern. Multiply 83 by 3, then suubtract 4.

(83 × 3) - 4 = 245

The next number in the pattern is 245

The pattern is:

3, 5, 11, 29, 83, 245



6)  

What is the next number in this pattern

Rule: multiply by 1, then add 4

 3, 7, 11, 15, 19, Answer: 23


SOLUTION 1 :

Rule: multiply by 1, then add 4

Use the rule to find the next number in the pattern. Multiply 19 by 1, then add 4.

(19 × 1) + 4 = 23

The next number in the pattern is 23

The pattern is:

3, 7, 11, 15, 19, 23



7)  

What is the next number in this pattern

Rule: multiply by 3, then subtract 3

 5, 12, 33, 96, 285, Answer: 852


SOLUTION 1 :

Rule: multiply by 3, then subtract 3

Use the rule to find the next number in the pattern. Multiply 285 by 3, then suubtract 3.

(285 × 3) - 3 = 852

The next number in the pattern is 852

The pattern is:

5, 12, 33, 96, 285, 852



8)  

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



9)  

What is the next number in this pattern

Rule: multiply by 6, then subtract 5

 5, 25, 145, 865, 5185, Answer: 31105


SOLUTION 1 :

Rule: multiply by 6, then subtract 5

Use the rule to find the next number in the pattern. Multiply 5185 by 6, then suubtract 5.

(5185 × 6) - 5 = 31105

The next number in the pattern is 31105

The pattern is:

5, 25, 145, 865, 5185, 31105



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