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Grid Sum Level 1 Hard maths puzzle involving algebra, column, expressions and grid

Grid Sum – Level 1 – Hard

Home » Puzzles » Grid Sum » Level 1 - Hard » Grid Sum – Level 1 – Hard
Topics: algebra, column, expressions, grid, linear equations, row

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. (x + 1)²
  2. (x - 3)² + 2
  3. (2x + 1)(x - 2)
  4. (x - 3)²
  5. x² - x + 7
  6. (x - 1)(x + 3)
  7. x² + 3x + 2
  8. x² + 4x + 2
  9. x² + 5x + 2

Example Grid:
84 111 84
91
—
—
(2x + 1)(x - 2)
110
—
—
x² + 4x + 2
78
x² + 3x + 2
—
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

84
111
84
91
(2x + 1)(x - 2)
110
x² + 4x + 2
78
x² + 3x + 2

Reveal the Answer

Reveal Answer
Additional instructions for Grid Sum (Level 1, Hard)

Grid Sum – Hard

Break the grid into sections. Work on one cluster of rows/columns until they stabilise before moving elsewhere.

  • Track remaining totals precisely.
  • Use elimination to rule out impossible values.
  • Check consistency across all intersecting lines.

Tip: if progress stalls, revisit the most constrained area of the grid.

Full help: Grid Sum

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