What Comes Next? #423

Pattern puzzle 423 card

Challenge type: What Comes Next?  ·  Difficulty: ★★★★★ Super tricky

A pattern is a rule that repeats. Find the rule, and you can tell what comes next. Beep boop!

Pattern: 64, 81, 100, 121, 144, 169, then a question mark. Choices: A: 201; B: 196; C: 195; D: 338.
What comes next: A, B, C or D?

The pattern in words: 64, 81, 100, 121, 144, 169, and then… what?

Your choices

  • A: 201
  • B: 196
  • C: 195
  • D: 338
Need a hint?

Try multiplying a number by itself.

Did you know? When coders spot a pattern, they can write a loop: a few lines of code that repeat the rule as many times as they like. The answer page shows this pattern as real Python code!

For teachers and grown-ups

Skills practised: Pattern recognition, abstraction, and predicting the next step of a rule.

The big idea: Spotting a pattern lets a programmer replace lots of repeated steps with one short loop.

Questions to ask:

  • What is the rule, in your own words?
  • How many items repeat before the pattern starts again?
  • What would the 20th item be? How could you work it out without drawing them all?

Take it further: Children invent their own pattern with a hidden rule and challenge a partner to find it.