Olympiad Test: Patterns in Mathematics - 2 - Class 6 MCQ

Each number is multiplied by 2 to get the next number:
5 × 2 = 10, 10 × 2 = 20, 20 × 2 = 40, 40 × 2 = 80.
So the next number is 80.

Pattern: Add consecutive natural numbers:
1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
Next number = 16.

Pattern: Add consecutive even numbers:
2 + 2 = 4
4 + 4 = 8
8 + 6 = 14
14 + 8 = 22
22 + 8 = 30
Next number = 30.

This is a multiple-of-3 sequence:
3 × 1 = 3, 3 × 2 = 6, 3 × 3 = 9, 3 × 4 = 12, 3 × 5 = 15, 3 × 6 = 18.
Next number = 18.

The sequence increases by 3 each time:
1 + 3 = 4, 4 + 3 = 7, 7 + 3 = 10, 10 + 3 = 13, 13 + 3 = 16.
Missing number = 13.

This is the Fibonacci sequence: each number = sum of the previous two.
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
Next number = 13.

Pattern: n(n+1)
1 × 2 = 2
2 × 3 = 6
3 × 4 = 12
4 × 5 = 20
5 × 6 = 30
6 × 7 = 42
Next number = 42.

The sequence is cube numbers:
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
Next number = 125.

Pattern: Move forward increasing steps in alphabet:
B → D (+2)
D → G (+3)
G → K (+4)
K → P (+5)
P → T (+4)
Missing letter = P.

The sequence doubles each time:
1 × 2 = 2, 2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16, 16 × 2 = 32, 32 × 2 = 64.
Missing number = 32.