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Number machines – practice for Years 3–7

Sample questions on Number machines with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Logic
Year
Years 3–7
Curriculum area
Sequences and patterns

Question types: What does the machine do?

Rule: Number machines

The machine does the same to every number. Try adding or taking away, then multiplying, then both (× 2 + 1) or squaring.

Check the rule on every example, not just the first.

Example: 1 → 3, 2 → 5, 4 → 9: the rule is × 2 + 1, so 5 → 11.

Watch out: 2 → 4 could be + 2 or × 2: the next example decides (3 → 6 means × 2).

Sample questions

  1. Question 1 Easy

    A machine changes every number by the same rule: 10 → 17, 11 → 18. What does it turn 7 into?

    Show the solution
    Answer: 14

    How it works: x → x + 7: 7 → 14

  2. Question 2 Normal

    A machine changes every number by the same rule: 10 → 33, 11 → 36. What does it turn 7 into?

    Show the solution
    Answer: 24

    How it works: x → 3 · x + 3: 7 → 24

  3. Question 3 Hard

    A machine changes every number by the same rule: 10 → 103, 11 → 124, 7 → 52. What does it turn 4 into?

    Show the solution
    Answer: 19

    How it works: x → x · x + 3: 4 → 19

Related topics

All Logic topics

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