### #1 - Find The Next Number

What are the next three numbers in this series?

4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?, ?, ?

The series lists numbers that are flanked by two prime numbers.

4 (3 and 5 are prime)
6 (5 and 7 are prime)
12 (11 and 13 are prime)
18 (17 and 19 are prime)
30 (29 and 31 are prime)
42 (41 and 43 are prime)
60 (59 and 61 are prime)
72 (71 and 73 are prime)
102 (101 and 103 are prime)
108 (107 and 109 are prime)

thus

138 (137 and 139 are prime), 150 (149 and 151 are prime), 180 (179 and 181 are prime

### #2 - Pyramid Number Puzzle

The below is a number puzzle. It should be read left to right, top to bottom.
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?
Question 1: What is the next two rows of numbers?

Popular Number Sequence Puzzle
3 1 2 2 1 1
1 3 1 1 2 2 2 1

Line 1 is 'Two ones' (2 1)
Line 2 then becomes 'One two, and one one' (1 2 1 1)
Line 3 therefore is 'One one, one two and two ones' (1 1 1 2 2 1)
Line 4 is 'Three ones, two twos and one one' (3 1 2 2 1 1)
Line 5 is 'One three, one one, two twos and two ones' (1 3 1 1 2 2 1 1)

### #3 - Find Next Number

What is the next number?

77, 49, 36, 18 ?

The next one is 8
77 : 7*7 = 49
49 : 4*9 = 36
36 : 3*6 = 18
18 : 1*8 = 8

### #4 - Find next number in series

What are the next two numbers in this sequence?

7, 14, 17, 21, 27, 28, 35, 37, ?, ?

42, 47.

They are the numbers that either contain the digit 7 or are divisible by 7.

### #5 - Sound Series Pattern

Can you figure out the logic I used to decide the order of the following words: gun, shoe, spree, door, hive, kicks, heaven, gate, line, den

Each word rhymes with its numeric position in the list. (e.g. 'gun' rhymes with 'one', etc.)