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Free Maths Challenge – The Answer Is Always 4

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Here’s a simple maths trick that can lead to some surprisingly deep thinking!

Your answer will always be 4!

But at Depth Education, we’re interested in what happens after students discover the answer.

Can they explain why it works? Does it work with decimals, negative numbers or really large numbers? Can they design their own number trick that always ends with a different answer?

This is where a simple calculation becomes an opportunity for genuine mathematical reasoning, pattern spotting, generalisation and creative thinking.

High-potential learners don’t always need harder calculations. Sometimes, they need a better question.

The Maths Trick That Always Ends in 4! | Maths Extension Activity for High-Potential Students

Looking for an engaging maths challenge for high-potential learners in primary school? This simple number trick is a fantastic way to introduce mathematical reasoning, algebraic thinking, pattern recognition and problem-solving.

Ask students to:

  1. Think of any number.
  2. Double it.
  3. Add 8.
  4. Halve it.
  5. Subtract their starting number.

The answer is always 4! But the real challenge is explaining why it works.

Extend the activity by asking students to test negative numbers, decimals and large numbers, prove the mathematical pattern, or invent their own number trick that always produces a chosen answer.

Perfect for primary maths extension, gifted and talented education, HPGE enrichment, early algebra, mathematical investigations, fast finishers and open-ended classroom challenges.

At Depth Education, we believe high-potential students need opportunities to think deeply, question patterns and explore ideas — not simply complete more work.

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