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?
3, 5, 8, 12, 17, ?
- A: 23 (the answer)
- B: 22
- C: 20
- D: 28
- E: 21
Why: The amount added grows by 1 each time. So the next number is 23.
Your turn
Your turn 1 of 3
Which number comes next?
11, 16, 21, 26, 31, ?
Your turn 2 of 3
Which number comes next?
10, 12, 16, 22, 30, ?
Your turn 3 of 3
Which number comes next?
2, 3, 5, 8, 12, ?
Keep practicing
Grown-ups: Ask: "Could two rules be taking turns?" Parent guide
Next lesson: Matrix rules