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Missing Number Puzzles — Questions and Answers

Missing-number puzzles present a sequence, grid or figure with one value blanked out and ask you to reconstruct the rule. The approach is the same as number series — differences first, then ratios, then powers — with the extra step of checking whether rows, columns or diagonals in a grid are related.

6 solved questionsNumber PuzzlesFree · no signup

Missing Number Puzzles— Concepts, Formulas & Shortcuts

  • For sequences, test differences, then ratios, then squares/cubes, then Fibonacci-style sums.
  • For grids, check whether each row follows the same operation applied across its columns.
  • In a 3 × 3 magic square using 1–9, every row, column and diagonal sums to 15 and the centre is always 5.
  • Triangle and circle puzzles usually combine the outer numbers by addition, multiplication or a difference to give the centre.
  • If nothing works, look for an alternating rule applied to odd and even positions separately.
  • Verify your rule against every given term before filling in the blank.

Missing Number Puzzles Practice Questions with Answers

Attempt each question first, then open the explanation. All 6 questions below are free to read and require no signup.

  1. Q1.Find the missing number: 3, 6, ?, 24, 48

    Easy
    • A9
    • B12
    • C15
    • D18
    +Show Answer & Explanation

    Answer: B. 12

    Explanation: Each term doubles: 3, 6, 12, 24, 48.

    Missing Number Puzzles question 1 of 6

  2. Q2.In each row the first two numbers combine to give the third: (2, 3 → 5), (4, 5 → 9), (6, 7 → ?)

    Easy
    • A11
    • B12
    • C13
    • D14
    +Show Answer & Explanation

    Answer: C. 13

    Explanation: The rule is addition: 6 + 7 = 13.

    Missing Number Puzzles question 2 of 6

  3. Q3.Find the missing number: 7, 14, 28, ?, 112

    Easy
    • A42
    • B56
    • C64
    • D70
    +Show Answer & Explanation

    Answer: B. 56

    Explanation: Each term is double the previous: 28 × 2 = 56.

    Missing Number Puzzles question 3 of 6

  4. Q4.Find the missing number: 1, 1, 2, 3, 5, 8, ?

    Easy
    • A11
    • B12
    • C13
    • D15
    +Show Answer & Explanation

    Answer: C. 13

    Explanation: This is the Fibonacci sequence — each term is the sum of the two before it: 5 + 8 = 13.

    Missing Number Puzzles question 4 of 6

  5. Q5.Find the missing number: 9, 16, 25, ?, 49

    Easy
    • A30
    • B32
    • C36
    • D42
    +Show Answer & Explanation

    Answer: C. 36

    Explanation: These are squares of 3, 4, 5, 6, 7 → the missing term is 6² = 36.

    Missing Number Puzzles question 5 of 6

  6. Q6.In a 3 × 3 magic square using the numbers 1 to 9 exactly once, the centre cell must contain:

    Difficult
    • A3
    • B4
    • C5
    • D6
    +Show Answer & Explanation

    Answer: C. 5

    Explanation: The total 45 gives a row sum of 15, and the centre lies on four such lines, which forces it to be the average value, 5.

    Missing Number Puzzles question 6 of 6

Missing Number Puzzles — Frequently Asked Questions

What should I check first in a missing-number grid?+

Whether the same arithmetic operation on the first two entries of a row produces the third, across all complete rows. If that fails, test columns and then diagonals.

What is the centre value in a 3 × 3 magic square of 1–9?+

Always 5. The total 1 + 2 + … + 9 = 45, so each row sums to 15, and the centre lies on four lines that force it to be the average, 5.

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