Number patterns
Strategy card
Find the rule by writing the differences.
- Step 1: Write the difference between each pair of numbers.
- Step 2: If the differences are the same, keep adding it.
- Step 3: If they grow, look for a pattern in the differences.
- Step 4: If numbers jump a lot, try multiplying.
Tip: Try add/subtract first, then multiply/divide, then two rules taking turns.
Worked example
Which number comes next?
5, 6, 9, 14, 21, ?
- A: 30 (the answer)
- B: 33
- C: 23
- D: 27
- E: 28
Why: The amount added grows by 2 each time. So the next number is 30.
Your turn
Your turn 1 of 3
Which number comes next?
11, 20, 13, 22, 15, ?
Your turn 2 of 3
Which number comes next?
19, 28, 27, 36, 35, ?
Your turn 3 of 3
Which number comes next?
15, 19, 18, 22, 21, ?
Keep practicing
Grown-ups: Ask: "Could two rules be taking turns?" Parent guide
Next lesson: Matrix rules