Teacher guide · Think Lab · Easier · about 30 min

🧮 Missing Number Train

Pupils practise problem solving through "Missing Number Train": Repair a train using number patterns and missing numbers.

Lesson guide

  1. 1. Hook · 5 min

    Show the 🧮 mission title and read the opening: "The carriages read 2, 4, 6, ?. What comes next?". Take three quick guesses.

  2. 2. Model · 5 min

    Think aloud through the first step together. Use Cog the Owl's line as your prompt: "Good thinking. Show me the why."

  3. 3. Do · 10 min

    Pairs work through the 5 steps on screen or on the printed sheet. Circulate and ask "why?"

  4. 4. Discuss · 10 min

    Use two or three of the discussion questions. Ask pairs to share different answers, not just correct ones.

  5. 5. Reflect · 5 min

    Exit ticket: one sentence on how they used problem solving today.

Discussion questions

  • What was the hardest choice in "Missing Number Train", and why?
  • The carriages read 2, 4, 6, ?. What comes next — explain your reasoning to a partner.
  • You have 9 tickets and use 4. How many remain — explain your reasoning to a partner.
  • Which number makes 7 + ? = 10 — explain your reasoning to a partner.
  • Where could you use problem solving outside school this week?
  • If you did this again, what would you change?

Adapting it

Support: Read prompts aloud, pair with a confident partner, and accept spoken or drawn answers for writing steps.

Stretch: Ask pupils to create their own extra step for a partner and explain the correct answer.

Curriculum links

  • National Curriculum: Maths: number, calculation, fractions and reasoning (KS1/KS2)
  • National Curriculum: Maths: reasoning mathematically and problem solving
  • National Curriculum: Computing: logical reasoning and algorithms
  • PSHE: Living in the wider world: making decisions and evaluating choices

Pupil sheet

🧮 Missing Number Train

Name: ____________________   Date: __________

  1. 1. The carriages read 2, 4, 6, ?. What comes next?

    ☐ 10

    ☐ 7

    ☐ 8

  2. 2. You have 9 tickets and use 4. How many remain?

    ☐ 13

    ☐ 4

    ☐ 5

  3. 3. Which number makes 7 + ? = 10?

    ☐ 2

    ☐ 3

    ☐ 4

  4. 4. Connect the clues to their meanings.

    10 + 2 → ________________

    8 − 3 → ________________

    4 + 4 → ________________

  5. 5. Invent a five-carriage number pattern. Leave a gap and explain how to find the missing number.