11 Plus VR – Number Sequences
Number Sequences
Verbal Reasoning number sequence questions involve identifying patterns in a sequence of numbers. These patterns can follow a variety of mathematical rules, and students must figure out the logic behind the sequence to determine the next number or a missing number within the sequence.
Types of Number Sequence Patterns:
- Addition or Subtraction Sequences:
- Numbers increase or decrease by a fixed amount.
- Example: 2, 5, 8, 11, 14, … (Pattern: Add 3)
- Multiplication or Division Sequences:
- Numbers are multiplied or divided by a fixed factor.
- Example: 2, 4, 8, 16, 32, … (Pattern: Multiply by 2)
- Alternating Sequences:
- Two or more sequences are interwoven.
- Example: 3, 7, 4, 8, 5, 9, … (Pattern: One sequence adds 1, the other adds 4)
- Square or Cube Numbers:
- The sequence follows the pattern of square numbers or cube numbers.
- Example: 1, 4, 9, 16, 25, … (Pattern: Square numbers, 1², 2², 3², etc.)
- Prime Numbers:
- The sequence consists of prime numbers.
- Example: 2, 3, 5, 7, 11, 13, … (Pattern: Prime numbers)
- Fibonacci Sequence:
- Each number is the sum of the previous two numbers.
- Example: 1, 1, 2, 3, 5, 8, 13, …
- Mixed Operations:
- Sequences might involve a mix of operations, such as adding and then multiplying.
- Example: 2, 4, 12, 14, 42, 44, … (Pattern: Multiply by 3, then add 2)
- Geometric Progressions:
- Numbers increase or decrease by a constant ratio.
- Example: 2, 6, 18, 54, … (Pattern: Multiply by 3)
Example:
1) What is the next number in the sequence: 3, 6, 12, 24, 48, …?
Answer: 96 (The sequence doubles each time, so the next number is 48 × 2 = 96.)
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