Grid Sum Puzzle

Grid Sum – Level 1 – Medium

Each row and column must add up to the totals shown – but all the values are algebra expressions. Work out the value of x, then fill in the grid using each expression once.

Available Expressions (use each exactly once):
  1. 3x + 1
  2. (x + 2)(x - 1)
  3. (x + 1)²
  4. x² - x + 3
  5. x² - x + 4
  6. (x - 2)(x + 1)
  7. 3x + 2
  8. (x + 2)²
  9. (x - 2)(x + 2)

Example Grid:
58 42 59
45
(x - 2)(x + 2)
x² - x + 3
39
75
3x + 2

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

58
42
59
45
(x - 2)(x + 2)
x² - x + 3
39
75
3x + 2

Reveal the Answer

Additional instructions for Grid Sum (Level 1, Medium)

Grid Sum – Medium

Use elimination thinking: if a number must satisfy both its row and its column, test whether your calculation fits both constraints.

  • Calculate row requirement.
  • Check column requirement.
  • If they clash, re-examine earlier entries.

Pro tip: Medium puzzles reward patience — each correct value tightens the grid’s structure.

Full help: Grid Sum

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