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?
2, 4, 8, 16, 32, ?
- A: 76
- B: 75
- C: 48
- D: 64 (the answer)
Why: Multiply by 2 each time. So the next number is 64.
Your turn
Your turn 1 of 3
Which number comes next?
5, 10, 20, 40, 80, ?
Your turn 2 of 3
Which number comes next?
22, 27, 32, 37, 42, ?
Your turn 3 of 3
Which number comes next?
17, 24, 18, 25, 19, ?
Keep practicing
Grown-ups: Ask: "Could two rules be taking turns?" Parent guide
Next lesson: Matrix rules